Close
About
FAQ
Home
Collections
Login
USC Login
Register
0
Selected
Invert selection
Deselect all
Deselect all
Click here to refresh results
Click here to refresh results
USC
/
Digital Library
/
University of Southern California Dissertations and Theses
/
Delimiting the postmodern urban center: an analysis of urban amenity clusters in Los Angeles
(USC Thesis Other)
Delimiting the postmodern urban center: an analysis of urban amenity clusters in Los Angeles
PDF
Download
Share
Open document
Flip pages
Contact Us
Contact Us
Copy asset link
Request this asset
Transcript (if available)
Content
DELIMITING THE POSTMODERN URBAN CENTER:
AN ANALYSIS OF URBAN AMENITY CLUSTERS IN LOS ANGELES
by
Samuel Glendening Krueger
________________________________________________________________________
A Thesis Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
MASTER OF SCIENCE
(GEOGRAPHIC INFORMATION SCIENCE AND TECHNOLOGY)
August 2012
Copyright 2012 Samuel Glendening Krueger
ii
TABLE OF CONTENTS
List of Tables iii
List of Figures iv
Abbreviations ix
Abstract x
Chapter 1: Introduction 1
1.1 A New Method for Delimiting City Centers 1
1.2 Delimiting the Center of Los Angeles 2
Chapter 2: Context 3
2.1 Existing methods for delimiting city centers 3
2.2 New ways of seeing centrality 15
2.3 A new concept for delimiting city centers 23
2.4 Popular concepts regarding the center of Los Angeles 29
2.5 Research into the center of Los Angeles 32
2.6 The Wilshire/Santa Monica Corridor: a hypothesis 42
Chapter 3: Data 48
3.1 Esri Business Analyst 48
3.2 North American Industry Classification System (NAICS) 50
3.3 Directory of Major Malls (DMM) 57
Chapter 4: Methodology 60
4.1 Methodological Considerations 60
4.2 Analysis Process 78
Chapter 5: Discussion 107
5.1 Results 107
5.2 Questions of precision 115
5.3 A more detailed analysis of the central areas 120
5.4 Implications for delimiting city centers 124
5.5 Implications for Los Angeles 128
5.6 The Wilshire/Santa Monica Corridor 131
5.7 Further research 157
References 165
iii
LIST OF TABLES
Table 1: Amenity categories with NAICS codes and descriptions. 55
Table 2: Attributes of each analysis array. 76
Table 3: Attributes of the union array. 77
Table 4: Hierarchy of central neighborhoods in the Wilshire/Santa
Monica Corridor.
143
Table 5: Hierarchy of central nodes in the Wilshire/Santa Monica
Corridor.
149
iv
LIST OF FIGURES
Figure 1: Giuliano & Redfearn’s (2007, p.2946, fig. 3c) map of ranked
‘10-10’ employment centers in Los Angeles.
8
Figure 2: Redfearn’s (2007, p.533, fig.9) map of employment centers in
Los Angeles.
8
Figure 3: Greene’s (2008, p.141, fig. 1) map of ranked employment
centers in Los Angeles.
9
Figure 4: Author’s photograph of the cityscape along the base of the
Santa Monica Mountains from the Pacific Ocean to
Downtown Los Angeles; photographed from the Kenneth
Hahn State Recreation Area in the Baldwin Hills, February
20, 2011.
14
Figure 5: Greene’s (2008, p.152, fig. 5) map of the Los Angeles HAZ. 20
Figure 6: The popularly-conceived essential places of Los Angeles in
mutual proximity along the base of the Santa Monica
Mountains.
31
Figure 7: Greene’s (2008, p.144, fig. 2) map of the Los Angeles CBD. 34
Figure 8: Giuliano & Small’s (1991, p.167, fig. 1) map of ranked ‘10-
10’ employment centers in Los Angeles.
36
Figure 9: Giuliano & Redfearn’s (2007, p.2951, fig. 4c) map of ranked
‘20-20’ employment centers in Los Angeles.
36
Figure 10: Redfearn’s (2007, p.526, fig. 2) employment density map of
Los Angeles.
37
Figure 11: Gordon & Richardson’s (1996, p.292, fig. 1) map of Los
Angles activity centers.
40
Figure 12: Garreau’s (1991, p.262) map of Los Angeles area Edge
Cities.
41
Figure 13: Hypothetical location of the center of Los Angeles. 43
v
Figure 14: Detailed extents of the hypothetical center of Los Angeles. 44
Figure 15: Expected center of Chicago. 62
Figure 16: Expected center of New York. 62
Figure 17: Varied cell sizes for capturing processes operating at
multiple scales.
71
Figure 18: Offset pairs of cell arrays to aggregate the underlying data in
different ways.
73
Figure 19: All six analysis arrays, intersected. 74
Figure 20: The union array, made from the intersected analysis arrays. 75
Figure 21: Urban areas in San Bernardino and Riverside counties. 84
Figure 22: Study area and analysis area creation process. 84
Figure 23: Chicago initial study area and analysis area. 84
Figure 24: New York initial study area and analysis area. 85
Figure 25: Los Angeles initial study area and analysis area. 86
Figure 26: Analysis array creation process. 88
Figure 27: Example cell arrays over Los Angeles. 88
Figure 28: Amenity point collection process. 89
Figure 29: Full-Service restaurants in central Los Angeles. 90
Figure 30: Amenity point aggregation process. 92
Figure 31: Los Angeles restaurants aggregated into the 2km analysis
array A with resulting cluster delineation.
92
Figure 32: Los Angeles restaurants aggregated into the 2km analysis
array B with resulting cluster delineation.
93
Figure 33: Los Angeles restaurants aggregated into the 5km analysis
array A with resulting cluster delineation.
94
vi
Figure 34: Los Angeles restaurants aggregated into the 5km analysis
array B with resulting cluster delineation.
95
Figure 35: Los Angeles restaurants aggregated into the 13km analysis
array A with resulting cluster delineation.
96
Figure 36: Los Angeles restaurants aggregated into the 13km analysis
array B with resulting cluster delineation.
97
Figure 37: Amenity category count calculation process. 98
Figure 38: Amenity cluster identification process. 99
Figure 39: The ‘intersect’ and ‘contain’ spatial selection methods. 100
Figure 40: Cluster value assignment process. 101
Figure 41: Cluster value core and fringe assignments. 101
Figure 42: Union array creation process. 102
Figure 43: Cluster score calculation process. 103
Figure 44: Restaurant cluster scores in central Los Angeles. 103
Figure 45: Centrality score calculation process. 104
Figure 46: Cartographic visualization process. 106
Figure 47: Chicago centrality score under the union analysis array
across the entire analysis extent.
108
Figure 48: Chicago centrality score under the union analysis array in
the central area.
109
Figure 49: New York centrality score under the union analysis array
across the entire analysis extent.
110
Figure 50: New York centrality score under the union analysis array in
the central area.
111
Figure 51: Los Angeles centrality score under the union analysis array
across the entire analysis extent.
112
vii
Figure 52: Los Angeles centrality score under the union analysis array
in the central area.
113
Figure 53: Los Angeles centrality score under the union analysis array
in the main region of high scores.
114
Figure 54: Los Angeles centrality score under the 2km analysis cells in
the main region of high scores.
118
Figure 55: Los Angeles 100% centrality score areas under each of the
three analysis cell scales.
120
Figure 56: Chicago centrality score under the 0.8km analysis cells. 122
Figure 57: New York centrality score under the 0.8km analysis cells. 123
Figure 58: Los Angeles centrality score under the 0.8km analysis cells. 124
Figure 59: Los Angeles centrality score under the 0.8 analysis cells,
overlaid on the 100% centrality score areas from each of
the three larger analysis cell scales.
132
Figure 60: The Wilshire/Santa Monica Corridor: Los Angeles centrality
score under the 0.8km analysis cells in the area attaining
100% centrality scores under all three larger-scale
analyses.
134
Figure 61: The Wilshire/Santa Monica Corridor (cartographic
depiction): centrality score classes from Figure 60 buffered
outwards by 0.4km each.
137
Figure 62: Comparison of the Wilshire/Santa Monica Corridor
(cartographic depiction) with Manhattan Island.
139
Figure 63: Primary Los Angeles tourism destinations in and around the
Wilshire/Santa Monica Corridor.
141
Figure 64: Hierarchy of central neighborhoods in the Wilshire/Santa
Monica Corridor.
145
Figure 65: Hierarchy of central nodes in the Wilshire/Santa Monica
Corridor.
149
viii
Figure 66: Looking west into the financial district on 7th Street from
just east of Broadway, Los Angeles (author’s photograph,
May 13, 2012).
153
Figure 67: Looking south on Broadway towards 6th and 7th Streets
from 5th Street, Los Angeles (author’s photograph, May
13, 2012).
154
Figure 68: A major break in east-west street grid continuity at Century
City.
156
ix
ABBREVIATIONS
CBD: Central Business District
CSA: Combined Statistical Area
DMM: Directory of Major Malls
E/R: Employment to Residents ratio
GCS: Geographic Coordinate System
GIS: Geographic Information Science
GLA: Gross Leasable Area
HAZ: High Amenity Zone
ICSC: International Council of Shopping Centers
LISA: Local Indicators of Spatial Association
MAUP: Modifiable Areal Unit Problem
MSA: Metropolitan Statistical Area
NAFTA: North American Free Trade Agreement
NAICS: North American Industry Classification System
OMB: Office of Management and Budget
SIC: Standard Industrial Classification
UA: Urban Area
UC: Urban Cluster
UTM: Universal Transverse Mercator
x
ABSTRACT
An analysis of urban morphology in the Los Angeles metropolitan area was
conducted. Specifically, Local Indicators of Spatial Association (LISA) were used to
identify clusters of different types of urban amenities. A centrality score was calculated
for every location based on the number of spatially coincident clusters, which was used to
delimit the central place.
The methodology, which was validated in the Chicago and New York
metropolitan areas, employed multiple regular hexagonal arrays into which amenity
location points were aggregated. These arrays, whose results were combined for a final
analysis output, mitigated against the Modifiable Areal Unit Problem (MAUP) and
revealed urban structures operating at multiple scales.
Prevailing methods for delimiting urban centrality tend to reduce urban place to a
monetary space by focusing on employment centers, commuting patterns, or ‘central’
land uses in order to identify a downtown or a Central Business District (CBD). This
study elevates the experience of place within urban structure to identify an ambiguously
bounded and internally inconsistent central place: a postmodern urban center.
The study reveals both polycentrism and a strong core center in Los Angeles. The
core center, called the Wilshire/Santa Monica Corridor, is delimited in detail.
1
CHAPTER 1: INTRODUCTION
In this paper I propose a new method for delimiting urban centers and I apply that
method to Los Angeles. Past methods of identifying urban centers have focused mainly
on using employment locations to delimit a Central Business District (CBD) and its
satellite subcenters. The method put forward here uses intersecting clusters of urban
amenities to identify postmodern urban centers. Past studies of centrality in Los Angeles
have tended to conclude that the center of Los Angeles is weak or nonexistent. But this
study, and a reinterpretation of the results of some past studies, reveals that Los Angeles
has a clear and dominant center.
1.1 A new method for delimiting city centers
This analysis reveals postmodern urban centers by demarcating dense and
concentrated cores of urban amenities. These cores are indicated by overlapping clusters
of amenity types, identified through a Geographic Information Science (GIS) analysis
technique known as Local Indicators of Spatial Autocorrelation (LISA).
LISA analysis identifies local clusters of high (or low) values among a spatial
dataset. In this study, clusters of selected types of urban amenities are identified and
overlaid to produce a sum of cluster membership for each location. This sum identifies
places where clusters of several different amenity types coincide in space. I argue that
these places are urban centers.
2
1.2 Delimiting the center of Los Angeles
As I show in the following discussion, the prevailing view among both urban
theorists and popular opinion is that Los Angeles is a city with either no center or a weak
center, and that the dominance of this center, if it exists, and urban centers generally, is
degrading over time. I argue that Los Angeles does not lack a center, but rather that we
have been looking for urban centers in the wrong way.
Specifically, the center of Los Angeles has gone unnoticed because it is
physically large, it is culturally and visually diverse, it crosses municipal boundaries, its
bounds are ambiguous, and it is internally inconsistent. But if we can accept regions with
these characteristics then we can see a strong central place in Los Angeles.
3
CHAPTER 2: CONTEXT
There are two main questions to explore in order to establish the context for this
analysis. The first question is: what are some existing methods for delimiting city
centers? The second question: what is known about the center of Los Angeles?
2.1 Existing methods for delimiting city centers
As I will show, most previous attempts to delimit city centers have relied on
measures of employment or on commuting for the purpose of employment. Those which
do not focus on employment tend to focus on industry or on the offices of professional
services firms. Many recent studies have also focused on revealing the existence of
polycentricism, meaning that the dominance of the core center has been eroded by a
network of smaller centers scattered across an urban region (Cladera, Duarte, & Moix,
2009).
2.1.1 Employment-based methods
Employment density thresholds
A popularly-cited employment-based approach to delimiting urban centers,
known as ‘10-10’ or ‘20-20’ because of the threshold cutoffs as described below, was
developed by Giuliano and Small (1991). Their method involves first identifying all
spatial units in a given region having employment densities over a certain threshold, then
identifying contiguous groups of these units as “subcenters” when a group’s total
4
employment exceeds a certain threshold. In their original analysis, they find appropriate
thresholds at “a density cutoff of 10 employees per acre, and a minimum total
employment of 10,000” (p.167), hence the ‘10-10’ moniker. A more restrictive set of
thresholds, ‘20-20’, is also employed. In this and in a later study using the same method
(Giuliano & Redfearn, 2007) Giuliano and colleagues find a steady erosion of the
dominance of primary urban centers compared to their subcenters over time, leading
them to conclude that the very notion of urban centrality is losing its currency.
Another method utilizing employment densities is Redfearn’s (2007) study of Los
Angeles. Redfearn converts aggregated employment density data into a smooth surface,
proceeding to identify peaks in that surface and to test them for significance. The area
around each significant peak is then divided by a contour whose threshold value is
calculated locally for that peak, and the area inside the contour is declared to be a
subcenter. This method is less arbitrary than Giuliano’s approach in that it does not
“require. . . local knowledge to calibrate density cutoffs” (p.525). The method allows for
the significance of any given peak to be assessed locally to that peak, rather than
establishing a global threshold. Redfearn’s analysis finds asymmetry and dispersion
among centers, but concludes that agglomeration remains a powerful force.
Besides simple employment density measures, another popular employment-
based indicator is the E/R ratio, or Employment to Residents ratio, exemplified by
Greene’s study of Chicago and Los Angeles (2008). Simply put, the E/R method looks at
the ratio of absolute employment to absolute resident workers in each given spatial unit.
An E/R ratio greater than one indicates that the spatial unit attracts more workers
5
commuting from other units than it sends to other units itself. After selecting a largely
arbitrary threshold for the value of the E/R ratio, one can then assemble contiguous
spatial units which exceed the threshold into employment subcenters. Greene concludes
that, while subcenters are generally widely dispersed, the notion of centrality remains
relevant at least in local relation to subcenters.
Commuting networks
Another employment-centered approach involves the analysis of commuting for
the purpose of employment. Cladera, Duarte, & Moix (2009) seek “to obtain a procedure
for the definition of urban sub-systems that comprise metropolitan areas, based upon the
interaction between place of residence and place of work” (p.2845). They accomplish this
goal with an analysis that begins at the municipality level, aggregating together
municipalities with strong commuting interaction. Once a “system” of municipalities
reaches “50 per cent self-containment” it is declared to be a “metropolitan sub-system”
(p.2846). The authors find a “breakdown of the traditional monocentric model” in their
results (p.2859).
Holly L. Hughes, in her 1993 paper entitled “Metropolitan Structure and the
Suburban Hierarchy”, also defines centrality in terms of commuting patterns. Hughes
undertakes an analysis of commuting patterns in 41 metropolitan areas in an effort to
prove that urban structure is becoming multinodal. As a starting point, she defines a
multinodal metropolitan area as one having “more suburban cities of 25,000 or more
population than it has center cities” (p.418) under the definitions of metropolitan areas
6
and center cities (the named cities in a metropolitan area’s title) produced by the Office
of Management and Budget and used by the Census Bureau.
Hughes employs tables of place-to-place commuting patterns for these
metropolitan areas, analyzed under a “graph-theoretic measure of point centrality”
(p.420), to determine the “network position” of each of a given metropolitan area’s
municipalities. The analysis tracks not just a municipality’s share of work locations, but
where the workers come from and which places attract more workers than they send
away. Under her formulation, “places that attract a disproportionate share of the labor
force occupy more central positions” (p.420). Hughes’ results “demonstrate the continued
dominance of the center city” while also showing that “some suburban cities are
occupying increasingly dominant positions in the metropolitan system” (p.429).
Some problems with these approaches
All of these methods suffer some drawbacks. For the employment density
methods, the selection of threshold values is largely an arbitrary exercise. For the
commuting network studies, the use of municipal entities as units of analysis is
problematic, since municipal areas can vary widely in size and their boundaries rarely
conform to notions of center and periphery or even to notions of place. For all these
methods, the focus on employment is troublesome because it reduces the entire
experience of urban place to a simple journey-to-work exercise. Employment is indeed
important to urban form, but employment is not the only thing that happens in cities.
One major question arising out of all these studies is: how useful is it to identify a
structure which consists of scores of individual subcenters scattered haphazardly across
7
the urban landscape? These studies all claim to be forging a new understanding of
fundamental urban structure, but their resulting maps (figures 1, 2, & 3) generally show
an urban region covered end-to-end in subcenters whose cumulative area seems to
occupy nearly half of all the urban space. Such a high number of centers jumbled across
the landscape reveals no fundamental structure at the macro level. If we want to
understand the essence of urban form, I would argue, we need to look for an even more
basic structure - one whose resulting map will be simpler and whose message will be
more concise at the macro level.
Some authors posit that their maps of dispersed and jumbled subcenters indicate a
fundamental lack of any centralizing force, but this viewpoint denies the human
perceptions of monumental importance and excitement that I would argue are still
experienced most strongly in the core urban areas. This conclusion also fails to account
for the fact that the subcenters don’t continue indefinitely across all space. Rather than
indicating that centrality is declining as a relevant force in urban structure, perhaps these
employment-based studies are instead revealing that employment is no longer a reliable
indicator of centrality.
8
Figure 1: Giuliano & Redfearn’s (2007, p.2946, fig. 3c) map of ranked ‘10-10’ employment centers in
Los Angeles.
Figure 2: Redfearn’s (2007, p.533, fig.9) map of employment centers in Los Angeles.
9
Figure 3: Greene’s (2008, p.141, fig. 1) map of ranked employment centers in Los Angeles.
2.1.2 Other methods
There are other historic approaches to delimiting centrality that do not rely
exclusively on employment. These include methods analyzing retail and office space, or
what is termed ‘central business uses’, as well as methods exploring industrial
agglomeration economies and issues of visual form.
Central business uses
The idea behind studies of central business uses is to delimit a CBD by
identifying all the blocks or buildings which are used for purposes befitting a central
business district. The seminal central business use method originated in Raymond E.
Murphy and J.E. Vance Jr.’s 1954 study, “Delimiting the CBD”. Murphy and Vance set
out to create a standardized method of defining a city’s Central Business District (CBD)
10
based on a synthesis of the techniques of various individual city planners and agencies.
They begin their project with a survey of these techniques, finding that no two cities
define their CBD in the same way and that most techniques consist merely of delimiting
an area that is “‘generally understood locally’ to be the CBD” (p.192). One might argue
that “generally understood locally” is a perfectly acceptable way to define centrality. But
this being 1954, with the modernist project in full swing, Murphy and Vance declare that
“it is only through the use of a standardized method of delimitation that significant
comparisons of CBDs are possible. And it is only through such comparisons that a real
knowledge of the content and functioning of this critical area can be attained” (p.189).
After a discussion of the salience and practicality of various CBD delimitation
methods, the authors settle on mapping a “Central Business Height Index” by block,
defining the CBD as occupying whatever contiguous space of blocks possesses an index
value of 1 (“the equivalent of a one-story building devoted to central business uses and
covering the entire block” (p.209)) or higher. Their definition of “central business uses”
is “the retailing of goods and services for a profit and the performing of various office
functions” (p.203). Murphy and Vance specifically exclude all establishments exhibiting
an “absence of the normal profit motive” (p.203). Interestingly, Murphy and Vance
include parking lots as a central use, since they are operated for a profit.
Joel Garreau, in his pioneering book, Edge City (1991), also recognizes centrality
through the floor space of particular business uses. And, like Hughes, Giuliano, and
Redfearn, he argues that the American cityscape has become multinodal, with some
suburban locations taking up centralizing functions previously reserved exclusively for
11
the traditional urban core. He calls these locations “Edge Cities” and has developed
criteria for their definition. To qualify as an edge city, an area must not be a traditional
urban center, must have at least 5 million square feet of office space and 600,000 square
feet of retail space, must have more jobs than residents, and must be “perceived by the
population as one place” (pp.6-7).
This last criterion is nebulous yet crucial, since Garreau recognizes that Edge
Cities “just about never match boundaries on a map” (p.6); these new urban centers are
usually located at the confluence of multiple municipalities and unincorporated land,
spanning portions of multiple jurisdictions. This multi-jurisdictionality means that “few
have come to recognize [it] for what it is” (p.4), but nevertheless, an Edge City contains
“all the complexity, diversity, and size of a downtown” (p.9).
These criteria result in regions lacking hard edges and internal consistency.
Garreau does address quandaries of spatial definition such as this by acknowledging that
“it is a judgment call where [an Edge City] begins and ends” (p.6). Far from being a
drawback, though, I see this freedom from either/or definitions as a step forward.
Like the employment-based analyses, though, these business floor-space methods
reduce urban place to a monetary space where money is the only relevant factor. Nor is
any attempt made to allow for locally-varying threshold levels. Another drawback to
Murphy and Vance’s approach is the implicit assumption of monocentrism; no mention is
made of the possibility that multiple non-contiguous areas within the same city might
satisfy the Central Business Height Index threshold.
12
Industrial agglomeration
Allen Scott examines centrality from the perspective of the industrial sector in his
1983 paper, “Industrial Organization and the Logic of Intra-Metropolitan Location: I.
Theoretical Considerations.” Scott suggests that the locations of individual industrial
plants are governed by three concerns: namely, “(a) the problem of inter-plant linkages
and costs, (b) the dynamics of subcontracting, and (c) the interrelations between
uncertainty, location, and vertical disintegration” (p.241). In Scott’s analysis, uncertainty
in particular marketplaces leads to high levels of subcontracting in order to distribute risk.
Subcontracting in turn leads to large numbers of small plants with high linkages among
the plants. The costs of maintaining those linkages create “strong pressures on plants to
converge together in geographical space” (p.242), forming localized agglomerations of
particular industries.
Not all economic sectors are subject to the uncertainty that leads to this
convergence, however; Scott offers garment manufacturing and aerospace as examples of
sectors that do spatially converge. In the end, Scott suggests that “land use/land rent
relations” within urbanized areas “strengthen the observable tendency of small plants to
gravitate towards the center of the land use system” where they can take advantage of
their “high levels of industrial productivity per unit of land” (p.248). Scott suggests that
urban centers can be identified by the locations of clusters of small industrial plants
operating in economic sectors of high uncertainty.
Scott’s method is more nuanced and flexible than the central business use studies
or the employment center studies. But it still dehumanizes the urban landscape, leaving
13
no room for the experience of place and reducing urban space to a series of economic
decisions made by corporations.
Visual methods
There are more subjective ways of identifying city centers too. For example, a
refreshing fluidity in perceiving urban form is offered by Josep Parcerisa in his 1989
architectural paper, “The Relief of the City”. Parcerisa embraces the visual form of the
city which is so often ignored or even explicitly dismissed by quantitative analysts. He
suggests that “the city is produced within a natural relief while at the same time
producing its own particular relief” (p.26) and that it is this interplay between natural and
manufactured relief that gives a city its identity. According to Parcerisa, “When we
examine the form of cities we almost instinctively look for their outstanding features or
reference points” (p.28) in an attempt to find the elements that are “vital to the identity of
a place” (p.26).
Under this view, the signifiers of centrality can be understood to be the portions
of the built environment which interact with the natural features and topography in such a
way as to produce a recognizable, unique relief. As Parcerisa states, “The entire order of
the composition only becomes understandable… at the confluence of man’s intervention
with [natural] profiles” (p.28). In Los Angeles, I would suggest, we might recognize this
order in the graceful linear curve of tall buildings along Wilshire, Santa Monica, and
Sunset Boulevards, following the contour of the base of the Santa Monica Mountains
while rising gradually from the beach before spilling over Bunker Hill into the riverside
hollow of the original pueblo (Figure 4).
14
While salient and powerful, one major drawback to conceiving of centrality in
this way is that it is impossible to quantify. Quantification is not always necessary, but if
we want to map centrality and make a convincing argument for it a more objective
measure will be required.
Figure 4a: Santa Monica, West L.A., Westwood, & Century City.
Figure 4b: Beverly Hills, West Hollywood, Miracle Mile, Fairfax/Melrose, & Hollywood.
Figure 4c: Hancock Park, Los Feliz, Koreatown, Westlake, & Downtown Los Angeles.
Figure 4: Author’s photograph of the cityscape along the base of the Santa Monica Mountains from the
Pacific Ocean to Downtown Los Angeles; photographed from the Kenneth Hahn State Recreation Area
in the Baldwin Hills, February 20, 2011 (see Figure 6 below for a map of the area pictured).
2.1.3 Some problems with existing views of centrality
Many authors find strong evidence of polycentrism and conclude that the concept
of centrality is no longer as powerful a force in structuring urban form. As I argue below
in the case of Los Angeles, though, one irony of these conclusions is that their studies
tend to continue to implicitly identify strong central regions whether their authors
15
acknowledge them or not. Additionally, I would argue, most of these established
approaches reveal a dehumanizing, monetized conception of what a city is for. There are
other legitimate approaches, described below, which incorporate the experience of place.
2.2 New ways of seeing centrality
There are, of course, other ways of seeing centrality than as a function of
employment densities or industrial agglomerations. Foremost among these is a
willingness to see the city as more than simply a space wherein dehumanized economic
processes play themselves out. Perhaps what is really important to urban structure is the
way urban space is experienced by its inhabitants, a perspective given full and articulate
voice a half-century ago by Jane Jacobs (1961). The lack of measurable phenomena is a
serious issue with this concept of centrality, though, if one is interested in mapping urban
structure.
One promising viewpoint from this perspective which involves measurable
phenomena is that of the fundamental importance of urban amenities. But before
discussing urban amenities I would like to situate ourselves within the framework of
Michael Dear’s postmodern urbanism (Dear, 2000 & 2002; Dear & Flusty, 1998). And
before that discussion, I would like to briefly touch on a new approach to conceiving of
regions which abandons the modernist idea that hard-edged borders delimiting a binary
in/out classification are even possible – a necessary precondition for postmodern
urbanism.
16
2.2.1 The heterogeneous region
I have already mentioned Joel Garreau’s (1991) willingness to see regions that
have no formal boundaries and are internally inconsistent. The 1998 work of John Allen,
Doreen Massey, and Allan Cochrane, Rethinking the Region, explores this concept in full
detail. While conducting a study of the Southeast region of England, the authors develop
a new conceptualization of regionalism. They shed the requirements of hard borders and
internal consistency in favor of a “spatially discontinuous region” (p.70).
Utilizing the metaphor of a doily, the authors posit that a region can have holes in
it – that there can be “areas ‘within’ the region which are not characterized by the
mechanisms/features which are part of the criteria for regional definition” (p.55). The
authors go on to suggest that “apart from actual spatial discontinuities there will also be
intra-regional variation” (p.56) resulting in areas within the region that are either more or
less a part of that region rather than either in or out of the region. Thus, not only can a
region be seen as a doily, but different parts of the doily can be harder or softer, and
determining precisely where the doily begins and ends can be an impossible task. But the
region does exist, just without as definitive a delimitation as modernists might like.
2.2.2 Postmodern urbanism
Taking from Parcerisa, Garreau, and Allen, Massey, & Cochrane the freedom to
define a region with amorphous and discontinuous characteristics, and deriving from
Garreau and the polycentric authors the ability to look for centrality outside of traditional
CBDs, we are left with the question of how we might understand the form and function
17
of central urban places. A suitable starting point is found in the postmodern urbanism of
Michael Dear and Steven Flusty (1998).
Dear and Flusty begin by presenting their views as a “radical break” with those of
the prevailing Chicago School: “The concentric ring structure of the Chicago School was
essentially a concept of the city as an organic accretion around a central, organizing core.
Instead, we have identified a postmodern urban process in which the urban periphery
organizes the center within the context of a globalizing capitalism” (p.65).
They call this postmodern process “Keno Capitalism” (p.65), drawing the name
from a gambling game wherein a card “appears as a numbered grid, with some squares
being marked during the course of the game and others not, according to some random
draw” (p.63). Under this approach to urban structure, “the once-standard Chicago School
logic has given way to a seemingly haphazard juxtaposition of land uses scattered over
the landscape” (p.62), where “capital touches down as if by chance on a parcel of land,
ignoring the opportunities on intervening lots” (p.66). According to Dear and Flusty,
“The consequent urban aggregate is characterized by acute fragmentation and
specialization” (p.66) which forms “a noncontiguous collage of parcelized, consumption-
oriented landscapes devoid of conventional centers”.
Returning to the Keno metaphor, Dear and Flusty acknowledge that the selection
of urban development locations, or game card squares, is “not truly a random process”
(p.66) but is “determined by a rationalized set of procedures beyond the territory of the
card itself” (p.63). They enumerate several such urban rationalities as postulated by other
contemporary writers, situating their synthesizing vision of urban structure under the
18
umbrella of “postmodern urbanism” with the following statement: “Such proliferating
logics often involve multiple theoretical frameworks that overlap and coexist in their
explanations of the burgeoning… order – a heterodoxy consistent with the project of
postmodernism” (p.52).
There is much salience in Dear and Flusty’s description of urban form, but I
would assert that they are too quick to discount the existence and continued importance
of urban centrality. They implicitly, if unintentionally, acknowledge the existence of
postmodern centrality with their suggestion of Las Vegas as a “youthful example” of the
postmodern urban form (compared to Los Angeles, which is a “mature” example - p.66).
But Las Vegas is perhaps one of the most highly-centered urban areas in the United
States; the Las Vegas Strip is everything. In Las Vegas, a location is either “on the strip”
or off it. If Las Vegas is to be taken as a more lucid example of postmodern urban form,
then surely the existence of a strong center within that form must also be clear.
2.2.3 Amenities as practical indicators of centrality
While jobs and day-to-day retail stores have indeed followed residences as they
disperse into the suburbs, central urban areas appear to remain strong attractors of leisure
activity and the spending of discretionary income. The best specialty shops, the most
famous nightclubs, the most exciting shopping districts (and malls), the best places to see
and be seen, the regions of common experience – I argue that these remain clustered
together in the central nodes of our metropolitan regions. It is hard to quantify such
notions as “best” and “exciting” for the purposes of analysis, but I believe a study of the
19
locations of individual urban amenities can reveal a centralizing/clustering pattern which
can substitute for these notions.
There is precedent for considering culture and the experience of place as
important aspects of urban function, including several existing comparisons of
metropolitan areas based on their amenities (eg.: Sperling & Sander, 2007; Clark, 2004b),
but there does not yet appear to have been much investigation of the spatial
manifestations of this view of urban function on local, intrametropolitan, urban form.
The High Amenity Zone
Greene’s idea of the “High Amenity Zone” (2006) provides a notable exception.
In an E/R study of subcenters in Chicago, Greene identifies Chicago’s North Side as
having both high job densities and high residential densities, leading to a relatively low
E/R ratio even though the area is a major employment center. After further investigation,
Greene finds that the area occupies a corridor between the traditional CBD and the
traditional high-income neighborhoods of the professional class – a corridor which has
become densely populated with high-income creative professionals and surrounded by
low-income residents who staff the local establishments serving those professionals.
Greene also investigates amenities region-wide and finds that this particular corridor
contains the highest concentration of “high-art” and “cool hangout” amenities in the
region, along with a high concentration of retail and service establishments (p.66).
Greene dubs this new phenomenon a “High Amenity Zone” (HAZ). The
particular types of establishments Greene determines to be important to HAZ formation
are trendy retail establishments (he uses Starbucks as an indicator, but Starbucks may be
20
too ubiquitous in the West to be of much use as an indicator there) and “high-culture”
entertainment consisting of “theater companies, dinner theaters, musical groups, artists,
other performing arts companies, and writers” (p.68). Greene argues that the HAZ type
amenities are what drive urban growth and allow cities to compete with one another for
investment and residents in the era of globalization. Therefore, according to Greene, the
HAZ is a critical piece of Chicago’s structure (73). In a later study (2008), he identifies a
HAZ in Los Angeles occupying the territory along the base of the Santa Monica
Mountains following Wilshire Boulevard from the ocean to Downtown Los Angeles
(Figure 5).
Figure 5: Greene’s (2008, p.152, fig. 5) map of the Los Angeles HAZ.
21
Amenities as fundamental drivers of urban growth
Although he does not explore their particular effects on local spatial structure,
Terry Nichols Clark makes a strong case for seeing amenities as the principal functional
forces in an urban system. He argues that, in the post-industrial era of globalization,
consumer consumption has become the primary economic force, rather than
manufacturing or commercial services, and that as technological advances have
diminished the importance of location in the agglomeration economies of industry, a new
agglomeration force has taken hold in cities that is centered around consumption (Clark,
2004a, p.297-298).
Clark goes on to assert that “Much of consumption is driven by local specifics:
cafes, art galleries, geographic/architectural layout and aesthetic image of a city define its
unique attractions” (p.293). These attractions “have grown more important than market
transactions in explaining urban growth and decline” (p.296) because “Quality of life is
not a mere byproduct of production; it defines and drives much of the new processes of
production” (p.299). Clark defines the contemporary city as an “entertainment machine”
whose primary function is to “become a cultural center offering diverse, sophisticated,
and cosmopolitan entertainment lacking elsewhere” (p.301).
In this view, the primary drivers of urban form are the residential location
decisions of professional individuals (those with disposable income) and the office
location decisions of the firms who employ them (Clark, 2004b). Clark argues that
particular trendy or high-culture amenities drive urban form in this context even though
22
those amenities serve only a small segment of the population. He uses restaurants as an
example:
For persons pondering where to live and work, restaurants are more than food on
their plate. The presence of distinct restaurants redefines the local context, even
for persons who do not eat in them. They are part of the local market baskets of
amenities that vary from place to place. . . . Their cumulative effects can shift
individuals’ and firms’ location decisions, and hence drive population growth or
decline (p.104).
Clark provides a preliminary investigation of the comparative strengths of whole
metropolitan areas based on the amenities they offer. Among “constructed” amenities (as
opposed to “natural”; p.111), Clark focuses on “bookstores, libraries, opera and
museums,” and on brew pubs, Whole Foods stores, Starbucks locations, juice bars, and
community bicycle events (p.135).
Glaeser, Kolko, & Saiz (2004) also make a case for the shift in agglomeration
primacy from industry to consumption. In an interesting reversal from the traditional
industry-focused conceptions, they point out that “For consumers who want to be able to
go to the Opera regularly. . . living in large cities is a necessity” (p.180), meaning that
cities are not only necessary to support the Opera as an institution (the old industry-
centered approach) but are necessary for individual consumers as well; the economics of
agglomeration create the possibility for enhanced amenities.
Similarly both to Greene and to Clark, Glaeser, Kolko, & Saiz suggest that “There
are four particularly critical urban amenities. First, and most obviously, is the presence of
a rich variety of services and consumer goods. . . . Restaurants, theaters and an attractive
mix of social partners are hard to transport and are therefore local goods” (p.178). The
authors further suggest that hotels are important indicators too, because “Cities with more
23
hotel rooms are presumably more attractive to visitors and potential residents as well”
(p.183) - a concept which could easily be applied more locally, as in: different local
places within a city with more hotel rooms are presumably more attractive than other
local places within that same city.
2.3 A new concept for delimiting city centers
In the present paper, I translate Clark’s and Glaeser, Kolko, & Saiz’s inter-
metropolitan focus on amenities into an investigation of the effects of amenities on the
neighborhood-level spatial structure working within a single urban area, complementing
Greene’s HAZ work. If amenities are the fundamental drivers of urban growth at the
macro, metropolitan level, then they should also be the fundamental elements of urban
structure at the micro, urban structural level.
2.3.1 The postmodern urban center
In some versions of the game of Keno (e.g. the State of Oregon’s lottery system),
the process of selecting numbers from the grid is visually represented by computer
animations of balls falling onto that grid, the chosen number corresponding to the cell on
which the ball lands (Keno numbers are actually chosen through drawings or random-
number generation algorithms). Applying this visualization to Dear and Flusty’s Keno
Capitalism metaphor of urban development, I suggest that perhaps there are metaphorical
magnets in some locations on the gaming board which attract a disproportionate share of
the falling balls of development.
24
These magnetic forces could be provided by initial land developments, for
example. Once a seemingly-random initial grouping of amenities is in place, that group
could itself attract further development in the same location, producing a cascading effect
that serves over time to intensify the collection of amenities there more and more. The
resulting cluster of amenities might eventually surpass a certain threshold of intensity, out
of which would emerge a dynamic urban center.
That is to say, the development and structure of the postmodern city appears to
have an element of random chance, but recognizing as Dear and Flusty do that there are
rational logics influencing the process, perhaps we can identify particular regions within
that structure which contain a significantly higher level of activity and development.
These regions would perhaps not pass the centrality test as defined by modernism – they
are not clearly spatially defined and they lack internal homogeneity – but recognizing that
postmodernism requires a more fluid and nuanced vision, accepting of uncertainty,
irregularity, and plurality, we must be willing to see centrality in a new way.
Under such a dynamic there will not exist a definitely-bounded “CBD”. Rather,
the types of development that signify centrality might simply be more clustered together
in certain areas of the city than in others. Instead of exhibiting a growth pattern
emanating outwards from an established core, this pattern would create a central area
from the ground up as development yields new contiguities and new concentrations,
ultimately forming a whole which is greater than the sum of its parts – an emergent
property. I call this emergent property a postmodern urban center operating within a
structure of Magnetic Keno Capitalism.
25
2.3.2 The core spaces of cultural production
The steady dispersion of employment centers outwards from traditional centers
has led many authors to declare that the city center is losing its power as an organizing
pole of the urban area. I argue that this dispersion of employment has been
misinterpreted. Rather, the dispersion phenomenon merely indicates that employment is
no longer a suitable indicator for centrality. Perhaps the center-hinterland dialectic can
still be relevant when viewed through the lens of culture and place, or regarding the use
of discretionary time and income.
Cities do seem to retain unique cultural identities, despite the apparent sameness
of most suburban rings and the dispersion of employment into the periphery. Houston is
different from New Orleans. Portland is not the same as Seattle. I would argue that the
places where these unique cultures are maintained and propagated are the centers of their
respective cities. These places may not be part of every metropolitan resident's daily
work or errand routine - but they are important parts of every resident’s total experience
of the urban region. They are places of shared special experience, the only places within a
metropolitan area that are common to most metropolitan residents' experience of leisure
and discretionary time, and central to the formation of a metropolitan-wide sense of
place. They are the core spaces of urban cultural production.
To be useful, the maps we make of fundamental urban structure need to be
simpler than a multitudinous galaxy of employment centers. They need to call attention to
the core spaces of urban cultural production. Everyone knows where these are, or at least
26
whether any given location is near or far from a core space. But we need a way to map
them.
2.3.3 Uncertain bounds
Such a subjective view of centrality requires acceptance of Allan, Massey, and
Cochrane’s doily region – discontinuous, internally heterogeneous, and with vague and
uncertain boundaries. But accepting the doily region involves also accepting that no two
given observers will necessarily agree with any one definition of the urban center. Rather,
each citizen will have their own conception of the space of their city, with a complex
structure of important nodes extending from a backbone anchored in the places most
familiar to them as individuals.
For instance, a particular Korean-Angeleno’s mental map may be centered in
Koreatown whereas a particular Chinese-Angeleno’s map may be centered in Monterey
Park; a White-Angeleno may regard Westwood or Santa Monica as the primary center
while a Black-Angeleno may see Leimert Park as central. But each individual’s map will
consist of a network of familiar places extending from their own primary nodes; and I
would argue that when all citizens’ mental maps are combined into one complicated
network, particular regions of shared familiarity will emerge. These are the regions of
common experience – the places understood by and important to all – the core spaces of
urban cultural production. While impossible to map with hard edges and solid fills, these
places could still be identified and their general shape delimited in order to reveal
postmodern urban centers.
27
2.3.4 Intersecting clusters of urban amenities
So what suitable measurable phenomena might we identify for our maps? I would
argue that the experience of free time is a major factor in shaping an individual’s
perception of their city. Work and home activities are economically important, but they
are compelled experiences, dulled through repetition. Leisure activities, on the other
hand, are highly experiential. One visits places of leisure by choice, for enjoyment, and
they are therefore among the places that shine most brightly in a mental map. It follows
that experiencing spaces of leisure shapes an individual’s conception of the broad
contours and outlines of their city and of their neighbors at least as much as experiencing
spaces of employment. The leisure districts of a city – the areas that are congested with
people enjoying themselves and experiencing their surroundings (rather than simply
existing in them) – the core spaces of cultural production, in other words – might
therefore constitute the postmodern urban center.
These leisure areas are likely to include destination/specialty retail districts, high-
end restaurant areas, nightclub and theater agglomerations, and art museums and cultural
infrastructure, to name a few. In short, clusters of urban amenities. I would argue that
such clusters of amenities are more than merely identifiers of central places, but that they
are themselves the engines driving the core spaces of cultural production. Such amenity
clusters can attract a dispersed metropolitan population to spend discretionary income,
enjoy a vibrant and exciting atmosphere, and to experience the commonality of the city.
Scott (1983) has already analyzed industrial agglomeration in cities through the
identification of clusters of certain industry types. But if the city really is an
28
“entertainment machine” (Clark, 2004a), then maybe clusters of urban amenities can be
better indicators of centrality. Michael F. Porter (1998) defines clusters as “geographic
concentrations of interconnected companies and institutions in a particular field,” which
work by “stimulating the formation of new businesses, which expands and strengthens
the cluster itself.” Clusters are thus, according to Porter, essential not only to their
particular industry but also to the economy of the region in which they are located. While
not explicitly discussing urban form, Porter does mention that “Clusters are a striking
feature of virtually every national, regional, state, and even metropolitan economy.”
2.3.5 A conceptual method
But it would not seem to be enough to simply identify clusters of any one type of
amenity. A cluster of museums alone is not enough to form a core space of urban cultural
production, nor is a cluster of coffee shops alone. And mapping many individual types of
amenities would likely produce a jumbled map of various amenities scattered around the
landscape. Maybe the core places, then, are those locations where many types of amenity
clusters coincide in a single place.
In my view, the process of Magnetic Keno Capitalism creates core spaces of
urban cultural production by accreting overlapping clusters of urban amenities over time.
Porter considers clusters to be “a robust organizational form” creating “a host of linkages.
. . result[ing] in a whole greater than the sum of its parts” (1998). I would go further to
argue that this emergent property of clusters is intensified when complementary clusters
coincide in space, creating the unique vibrancy and reciprocal linkages necessary to form
the emergent property that is the core space of urban cultural production. Thus, in my
29
view, we can delimit postmodern urban centers by delimiting intersecting clusters of
urban amenities.
2.4 Popular concepts regarding the center of Los
Angeles
In this paper I describe one possible method by which postmodern urban centers
may be delimited, and I apply it to Los Angeles. This application, of course, raises the
question: what is known about the center of Los Angeles? Although some researchers
have identified a strong center running along the base of the Santa Monica Mountains
from the ocean at Santa Monica to Downtown Los Angeles, a more popular view, as
described below, seems to be that Los Angeles lacks a strong center and is prototypical of
a supposed new urban form wherein centrality has no meaning at all. I argue that most
researchers’ failure to identify a center in Los Angeles is more a symptom of their
definition of ‘center’ than it is an indication of a true lack of a center in Los Angeles.
But this debate is drowned out in the popular culture by a common belief in the
centerlessness of Los Angeles. The idea that there is no centralizing force in the region is
so strong that Los Angeles stands in for the idea of centerlessness, placelessness, and
sprawl in the public discourse.
2.4.1 Popular media
Popular (news) media often reflects the popular assumption of an absence of
centrality coupled with a disorganized and inordinately-large sprawl in Los Angeles. It is
30
particularly popular to assert that Los Angeles has no center – so popular that it has
become an uncontroversial element of common wisdom. This popularity is evidenced by
the fact that it is common to find passing references to Los Angeles’ centerlessness in
news articles on all manner of subjects.
Some examples: “Because Los Angeles has no centre. . . any visit here is
essentially a trip to the ‘burbs” (Haslam, 2008); “Downtown Los Angeles has long
existed as a contradiction in terms -- the nominal center of a famously centerless
collection of cities and suburbs” (Hawthorne, 2010); “Don’t become Los Angeles, a
freeway sprawl with no centre” (The Economist, 2010); “Los Angeles [is] infamous for
being one massive suburb with no actual centre” (Johnston, 2007); “Wellington is a great
writers' city, with a dramatic environment to respond to, not like Los Angeles, where
there is no centre anywhere” (Gregory O’Brien, an editor, quoted in Dekker, 2008).
But common wisdom has also created a well-established concept of which
particular places define the essence of Los Angeles, as evidenced in turn by countless
travel publications recommending places in Santa Monica, Beverly Hills, the
Fairfax/Melrose area, West Hollywood, Hollywood, and Downtown Los Angeles – with
few exceptions – as the experiences not to miss when visiting the region (see: Begley,
Levêque, & Ross, 2010, p.10; Hiss & Mueller, 2011, p.25; Horchow, 2005; O’Clery,
1993; Purdum, 1999; Ross, 2010).
This popular concept is both reflected and reinforced by the fact that the most
common filmic representations of Los Angeles (perhaps the most frequently filmed city)
31
are set in this same part of the region, with a particular focus on Beverly Hills (Carringer,
2001, p.253).
The irony of these two popular concepts about Los Angeles is that all of the
popularly-conceived essential places of Los Angeles (with the exception perhaps of
Disneyland) lie in mutual proximity within a continuous arc stretching from the Ocean to
Downtown Los Angeles along the base of the Santa Monica Mountains (Figure 6). Thus,
paradoxically, common wisdom both implicitly recognizes a singular and contiguous
essential place while also holding that Los Angeles has no center.
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
!
! !
! !
! !
! !
S a n t a M o n i c a M o u n t a i n s
P A C I F I C
O C E A N
B a l d w i n
H i l l s
Santa Monica
Beverly Hills
West Hollywood
Hollywood
Century City
Westwood
Brentwood
Fairfax District
Koreatown
Westlake
Downtown
Hancock Park
Los Feliz
Silver Lake
Echo Park
Venice
Marina del Rey
Culver City
West Los Angeles
Miracle Mile
Glendale
North Hollywood
Pasadena
Huntington Park
Inglewood
[
05 2.5
Miles
Figure 6: The popularly-conceived essential places of Los Angeles in mutual proximity along the base of
the Santa Monica Mountains (streets: Esri; shoreline: U.S. Dept. of Transportation; hillshade: Cal-
Atlas Geospatial Clearinghouse [atlas.ca.gov]).
32
2.4.2 Urban theorists
This same paradox can be found in the academic world. As I point out in the
discussion below, a plethora of academic musings on the future of cities and the theories
by which we may understand them consistently asserts that Los Angeles is prototypical
of the future because of its lack of a structural core. Giuliano and Small (1991 p.166)
acknowledge that “The conventional view of the [Los Angeles] region is one of endless
urban sprawl, with employment and population dispersed throughout.” However, most
empirical studies of the region continue to find a dominant core in the same region
mentioned above (from the shores of Santa Monica to Downtown Los Angeles), although
only a few authors explicitly identify the region as a single unit (see, again, the discussion
below).
2.5 Research into the center of Los Angeles
Beginning in the 1980s, the structure of Los Angeles has been repeatedly studied.
Most of these studies reveal a pronounced polycentrism in the region, with multiple
centers scattered throughout the metropolitan area. The authors of these studies generally
conclude that Los Angeles exhibits a polycentric urban structure with a weak central core
(Giuliano and Small, 1991; Giuliano & Redfearn, 2007; Redfearn, 2007; Greene, 2008).
Those whose analyses include time as a factor tend to conclude that Los Angeles’ core
center is getting weaker over time (Giuliano & Redfearn, 2007). Many authors go on to
assert that the small proportion of jobs occurring in centers versus jobs occurring outside
33
centers indicates a trend beyond polycentrism towards total dispersion (Gordon &
Richardson, 1996).
2.5.1 The problem of the arbitrary core
As discussed above in relation to urban form in general, and below in relation to
Los Angeles in particular, the polycentrism idea has been thoroughly explored, but the
conclusion of a weak central core is, in my opinion, questionable. Most of the time,
authors’ analyses of the ‘core’ center versus the rest of the ‘subcenters’ depend on an
arbitrary definition of what the core is. Usually the core is narrowly defined as whichever
job center identified in the study falls nearest the “CBD” of Downtown Los Angeles,
meaning basically the area ringed by the 5, 10, 101, and 110 freeways (Figure 7).
After defining the core as such, authors then present the fact that the
overwhelming majority of jobs occur in subcenters outside this core as evidence of a lack
of strong centralizing forces in Los Angeles. But since fixing the spatial boundaries of the
CBD is an arbitrary exercise, usually based on ‘local knowledge’ or arbitrary job density
thresholds, any conclusions based on whether phenomena occur inside or outside of it are
dubious. If the definition of the CBD were expanded to include its nearby subcenters it
might not exhibit such a low proportion of total regional employment.
34
Figure 7: Greene’s (2008, p.144, fig. 2) map of the Los Angeles CBD.
2.5.2 A center is revealed, for those who choose to see it
Almost every study of urban structure in Los Angeles finds a tightly-spaced,
nearly-contiguous group of subcenters arranged in an arc along the base of the Santa
Monica Mountains from the ocean to Downtown Los Angeles (the arbitrary CBD). These
subcenters individually are consistently among the strongest of the region, and sometimes
are separated from each other not by discontinuity but by the study author’s assumption
that a center so large in area is preposterous on its face, or at least not a useful analysis
result (Giuliano & Small, 1991, p.167). Thus the supposed lack of centrality in Los
Angeles is actually merely an unwillingness to accept the singular center that could be
formed by the potential combination of these arc-aligned subcenters. There are a few
studies which have taken the step, if only as a side note, to explore the ramifications of
35
combining this arc into a single center. When they do, they find a center which once
again dominates the surrounding urban landscape. But they generally choose to ignore it,
concluding not that this dominant center exists but rather that their delimitation method
requires further refinement (Giuliano & Small, 1991).
Giuliano and Small’s (1991) seminal study of polycentrism in Los Angeles and its
follow-up study 16 years later (Giuliano & Redfearn, 2007) find that the region exhibits a
polycentric structure. The studies find furthermore that the region is dispersing over time,
with the core center losing dominance to newer peripheral centers. Interestingly, both
studies acknowledge an “overwhelmingly dominant” “megacenter. . . that spans an arc
along the Wilshire Corridor from east LA to Santa Monica” (Giuliano & Redfearn, 2007,
p.2952 & 2945).
The only reason this ‘megacenter’ doesn’t overwhelm Giuliano et al.’s notions of
polycentrism is that their particular (arbitrary) analysis thresholds (‘10-10’ or ‘20-20’)
happen to divide it at a few points into a number of smaller “subcenters” (Giuliano &
Small 1991 p.167) (see centers 1 & 2 in Figure 1 above; centers 1, 2, 3, & 4 in Figure 8;
and centers 1, 2, 3, & 8 in Figure 9). They do discuss this megacenter in passing, though,
calling it the “Wilshire Corridor” (1991 p.167, 2007 p.2945), the “core” (1991 p.167),
and the “LA Main Center” (2007 p.2948). Redfearn’s own (2007) analysis of Los
Angeles also identifies this corridor in passing, calling it an “east-west ridge” along
Wilshire Boulevard in his map of employment density (p.526; see Figure 10), although
he does not specifically address its implications for his discussion of polycentrism.
36
Figure 8: Giuliano & Small’s (1991, p.169, fig. 1) map of ranked ‘10-10’ employment centers in Los
Angeles.
Figure 9: Giuliano & Redfearn’s (2007, p.2951, fig. 4c) map of ranked ‘20-20’ employment centers in
Los Angeles.
37
Figure 10: Redfearn’s (2007, p.526, fig. 2) employment density map of Los Angeles.
Greene’s (2008) E/R study of Chicago and Los Angeles finds “120 job centers. . .
quite evenly spread throughout all but the least densly populated parts of the [Los
Angeles] urban area” (p.140; see Figure 3), which he considers to be both a refutation of
Dear’s (1998) assertion that urban peripheries now organize the center and an indication
that the importance of Los Angeles’ core center has declined. Greene does, however, note
“a small number of high-job-density tracts [which] had not been assigned to employment
centers. . . [that] filled the gaps between the downtown L.A., Hollywood, Beverly Hills,
and Santa Monica employment centers” to create a continuous formation along the base
of the Santa Monica Mountains from the ocean to Downtown Los Angeles (Greene,
2008, p.151).
38
Greene dubs this formation the “Westside High Amenity Zone” (or HAZ; see
Figure 5) after the concept he introduced for Chicago’s North Side (Greene, 2006; see
also discussion above) - but he claims that Los Angeles’s HAZ is “not nearly as strong as
it is in Chicago, because it sends only 12% of its resident workers to the CBD” (Greene,
2008, p.152). Greene discusses the ‘Westside HAZ’ only as a side note to his larger
discussion of polycentrism, but it is worth noting that the Los Angeles CBD to which he
refers is an arbitrary construct to begin with (see Figure 7 above), and that if one were
willing to see the entire ‘Westside HAZ’ as a coherent functional unit, it might very well
be the ‘CBD’ itself.
Gordon and Richardson (1996) look for “Activity Centers” based on a study of all
kinds of trips, including both commuting and “nonwork” trips (p.290). The shift in focus
away from employment is an improvement over other methods, but it takes their
conclusions in an even less centralized direction. They find that “Activities are more
dispersed than jobs are, and total trips are more diffuse than are work-trips” (p.291).
Thus, “An alternative hypothesis [to that of polycentrism], a pattern of generalized
dispersion, appears plausible” for Los Angeles (p.290). This conclusion could be due to
their inclusion of all activity (such as mundane grocery shopping and workplace
commuting) rather than focusing on select activities (such as those contributing to
cultural production), thus obfuscating the centralizing forces at work in Los Angeles
beneath a static noise of everyday errands and commutes.
Even more importantly, though, Gordon and Richardson share with many other
authors a refusal to acknowledge the possible coherence of a central region as large and
39
as internally inconsistent as that within Los Angeles even when their own map places it
before their eyes - their map of activity centers (p.292) clearly indicates an overwhelming
concentration along the base of the Santa Monica Mountains, stretching from the ocean to
Downtown Los Angeles, whose contiguity is broken only at Hancock Park - Los
Angeles’s historic wealthy residential neighborhood (see Figure 11 for Gordon &
Richardson’s map; see Figure 6 above for the location of Hancock Park). Few of their
activity centers lie outside this core corridor, and roughly half of those that do are located
nearby. The map could easily be interpreted as indicating a very strong center, especially
when such interpretation is liberated under Allen, Massey, & Cochrane’s conception of
regions as porous, discontinuous, and non-homogeneous (1998). But Gordon and
Richardson (writing two years before publication of Allen, Massey, & Cochrane’s
seminal book) hold that their map indicates dispersion.
40
Figure 11: Gordon & Richardson’s (1996, p.292, fig. 1) map of Los Angles activity centers.
Joel Garreau identifies many Edge Cities in the Los Angeles area (1991, p.262),
including several which lie along the base of the Santa Monica Mountains, stretching
from the ocean to Downtown Los Angeles: Marina del Rey/Culver City, West Los
Angeles, Beverly Hills/Century City, Miracle Mile, and Mid-Wilshire, in addition to the
traditional Los Angeles downtown (Figure 12). Garreau does not identify the borders of
these Edge Cities, but a familiarity with the area (see Figure 6 above) and with Garreau’s
requirements for Edge City status (5 million square feet of office space and 600,000
square feet of retail space, as discussed above) leads one to conclude that these particular
Edge Cities must be nearly contiguous.
41
Figure 12: Garreau’s (1991, p.262) map of Los Angeles area Edge Cities.
Why, then, not consider them to be a single spatial unit? Perhaps because the size
of such a unit would be too large even for Garreau to accept - but accepting a spatial unit
of that size and complexity is essential to identifying a postmodern urban center. The
addition of Santa Monica and Hollywood to Garreau’s list – areas perhaps lacking
Garreau’s office space requirements but certainly serving as powerful draws for
recreation and leisure spending – along with Westlake – an area often overlooked
because of its lack of visitation by whites, but no less vibrant – would completely fill in
the rest of the corridor from the ocean to Downtown Los Angeles.
42
2.5.3 An overwhelmingly dominant center
As noted above, studies of urban structure in Los Angeles generally conclude that
polycentrism and dispersion are stronger forces than centrality in the region, and that no
dominant center can be identified. But these studies tend to suffer from a preoccupation
with a nominal ‘downtown’ or CBD which arbitrarily restricts the territory which can be
considered central, and they are willfully blind to larger urban structures beyond that
scale. Ultimately the conclusion that Los Angeles lacks a center seems to rely largely on
map interpretations with preconceived expectations. If one accepts that a coherent region
can be discontinuous and can have ambiguous boundaries and internal heterogeneity,
then one can reinterpret these maps (figures 1, 2, 5, 8, 9, 10, 11, & 12 above) as revealing
an overwhelmingly dominant center in Los Angeles.
2.6 The Wilshire/Santa Monica Corridor: a hypothesis
2.6.1 Asserting centrality
Based on such a reinterpretation, I assert that Los Angeles has a strong urban
core, a space serving as the central place for the metropolitan region – the place where
the unique culture of Los Angeles is maintained, propagated, and developed – a
postmodern urban center. I begin with a hypothesis that this place occupies a narrow
band of space stretching from the Pacific Ocean at Santa Monica in an arc along the base
of the Santa Monica Mountains through West L.A., Brentwood, Westwood, Century
City, Beverly Hills, Fairfax/Melrose, West Hollywood, Hollywood, Silver Lake, Echo
Park, Koreatown, and Westlake, and culminating in Downtown Los Angeles (figures 13
43
& 14). Its principle artery is Wilshire Boulevard, with major support from Santa Monica
Boulevard.
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Hypothetical
center
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Woodland Hills V an Nuys
Pasadena
Hermosa Beach
Gardena
Long Beach
Costa Mesa
John Wayne Airport
Disneyland
Fullerton
Huntington Park
Inglewood
Del Amo Fashion Center
Torrance
Santa Ana
Laguna Hills Mall
Little Saigon
Alhambra
West Covina
Rowland Heights
Upland
Claremont
Chino Hills
Ontario Mills Mall
Arlington
Northridge
V alencia Town Center
[
0 5 10 15 20 2.5
Miles
Figure 13: Hypothetical location of the center of Los Angeles (freeways & shoreline: U.S. Dept. of
Transportation; hillshade: Cal-Atlas Geospatial Clearinghouse [atlas.ca.gov]).
44
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
!
! !
! !
! !
! !
! !
! !
Hypothetical
center
S a n t a M o n i c a M o u n t a i n s
B a l d w i n
H i l l s
B a l l o n a
B l u f f s
P A C I F I C
O C E A N
L O S
A N G E L E S
R I V E R
Adams Blvd
Wilshire Blvd
Wilshire Blvd
Santa Monica Blvd
Santa Monica Blvd
Santa Monica
Beverly Hills
West Hollywood
Hollywood
Century City Westwood
Brentwood
Fairfax District
Koreatown
Westlake
Downtown
Hancock Park
Los Feliz
Silver Lake
Echo Park
Venice
Marina del Rey
Culver City
West Los Angeles
Miracle Mile
Glendale
North Hollywood
Pasadena
Huntington Park
Inglewood
Crenshaw
East Los Angeles
[
05 2.5
Miles
Figure 14: Detailed extents of the hypothetical center of Los Angeles (streets: Esri; shoreline: U.S. Dept.
of Transportation; hillshade: Cal-Atlas Geospatial Clearinghouse [atlas.ca.gov]).
2.6.2 Delimiting the hypothetical center
For the purpose of delimiting this hypothetical postmodern urban center I chose to
trace largely topographic contours: the Pacific Ocean on the west, the base of the Santa
Monica Mountains on the north, and the Los Angeles River on the east; for the southern
boundary, beginning at the coast, I traced the Ballona Bluffs eastward to the Baldwin
Hills, then around the Baldwin Hills to the beginning of Adams Boulevard, which I
followed to the Los Angeles River (see Figure 14 above). This delimited region
generously contains all the central spaces described above plus ample extra space and is
therefore intended to be only a rough approximation.
45
2.6.3 Naming the place
This place has already been identified in several analyses, as I have pointed out
above, but it currently has no name, since it is not popularly seen as a single entity. A
name is important if the concept of a Los Angeles center is to gain currency. The lack of
any unifying place name may be a significant factor in the inability of so many to see a
coherent central place.
A possible starting point can be found in the name Santa Monica, which
denominates one of the major backbone boulevards, the bay which forms the western
frame, and the mountain range that cradles this central region. Unfortunately, Santa
Monica is already a powerful and evocative place name, used to refer specifically to the
city, pier, and beach at the western end of this arc. Therefore, extending this name to the
whole central region (as in, for example, the Santa Monica Corridor) might inaccurately
imply that the City of Santa Monica has a special primacy or dominance in the region.
The core area is centered along the entire length of Wilshire Boulevard, and one
of the only groups of authors to have attempted to name this same region, Giuliano et al.,
has appropriately called it the Wilshire Corridor (Giuliano & Small 1991; Giuliano &
Redfearn, 2007). That name, though, is also popularly applied narrowly to several
individual stretches of Wilshire Boulevard, as well as to the entire length of the
Boulevard itself, without any wider regional implications (Lindsey, 1981; Ingwerson,
1985; The Economist, 2006; Aragon, 2007). Employing the Wilshire name alone to refer
to this broader place, then, might imply reference to a too-narrow band of space.
46
The name should connote both the corridor shape of the place and the fact that it
extends significantly beyond the immediate neighborhood of Wilshire Boulevard. I
therefore refer to this central place as the Wilshire/Santa Monica Corridor. Both Wilshire
and Santa Monica Boulevards provide major structural support to the shape of the central
place (see discussion of analysis results below), and their paths diverge enough to imply
the inclusion of a wide band of space.
2.6.4 The goal of this study
So why is it so difficult to acknowledge the existence of a center in Los Angeles?
Perhaps we have been conditioned not to be able to see centers like this. The
Wilshire/Santa Monica Corridor includes the traditional CBD only on its periphery, and it
crosses several municipal boundaries. Both of these conditions are especially problematic
to views of centrality in the United States. Also, The Wilshire/Santa Monica Corridor is
larger in area than would be accepted as a single central place in most cities, and it is both
discontinuous and far from internally homogeneous. But the CBD is largely an arbitrary
construct, municipal boundaries have little impact on any given individual’s use of urban
space, and we can now define regions as ambiguously-bounded and spatially
heterogeneous - even to the point of discontinuity (Allen, Massey, & Cochrane, 1998).
Once we liberate ourselves from these artificial constraints on seeing regions, the
Wilshire/Santa Monica Corridor becomes easy to identify as a coherent and functional
central place.
The central core of Los Angeles, then, does not have to be spatially consistent or
have a well-defined border in order for us to recognize its existence. The Wilshire/Santa
47
Monica Corridor is large; it consists of numerous districts and places serving disparate
ethnic and economic needs; not all the spaces within it exhibit features of centrality, and
those that do are not necessarily contiguous; its borders are hard to pin down, and they
shift over time and depending on perspective. The present study, then, rather than
offering a hard boundary categorizing places to either side as either central or non-
central, serves as an indicator of the general spatial extent of the postmodern urban center
of Los Angeles. This spatial extent is discerned here through an analysis of intersecting
clusters of urban amenities.
I see the work of Dear and Flusty, Garreau, and Allen, Massey, & Cochrane, as
first attempts to define the outlines of the new urban structures we see around ourselves.
The aim of this study, then, is to show that an urban center does exist in Los Angeles, and
to identify its location and extent, so that we can begin to understand its role and function
in the postmodern urban dynamic.
48
CHAPTER 3: DATA
The primary input to this analysis consisted of the point locations of individual
urban amenities. These point locations were extracted from Esri Business Analyst data.
Most amenities were classified according to the North American Industrial Classification
System (NAICS) while shopping malls were classified by the Directory of Major Malls
(DMM; both classifications are discussed below).
3.1 Esri Business Analyst
The analysis necessitated a source that could provide consistent coverage in all
the areas under study (Chicago, New York, and Los Angeles, as described below). In
order to form useful analysis inputs, the amenities also needed to be categorized by a
suitably detailed and nationally consistent classification regime. Esri Business Analyst
was selected as the source because of its thorough and comprehensive national coverage
of business and amenity locations, and because it includes the nationally-consistent
NAICS (discussed below) among the attributes of those amenities.
3.1.1 Background
Esri Business Analyst is a complicated product maintained by Esri, the makers of
the popular ‘ArcGIS’ software. It consists of both specialized data and software routines,
and uses these in combination to assist businesses making decisions on new locations,
market area divisions, and routing.
49
3.1.2 Structure
Among other data, Business Analyst includes points representing the locations of
nearly every business, institution, and public amenity in the United States as part of its
‘Business Locations’ database. These businesses can be filtered by various attribute
criteria, including by using NAICS codes to the finest level of categorization available
under that system. These data are provided by Infogroup, a corporate research firm, under
rigorous research and verification standards designed to ensure both currency and
completeness (http://www.esri.com/data/esri_data/methodology-statements.html).
Business Analyst’s ‘Major Shopping Centers’ database contains points
representing shopping mall locations with several attributes including total retail
floorspace. These data are provided by the Directory of Major Malls (DMM), which is
described below.
Esri updates the Business Locations database annually and the Major Shopping
Centers database semiannually. At the time of extraction for this analysis, the most recent
confirmed data currency date was 2010.
3.1.3 Strengths and limitations
Business Analyst’s primary strengths are its comprehensive coverage,
consistency, and detail. The data covers the entire nation using the same classification
scheme and to the same comprehensive level of detail.
The amenity points are in most cases placed as the result of geocoded addresses.
Geocoding is a mostly-automated process by which a textual address is converted to a
spatial coordinate location using information about street networks and their addressing
50
systems. Geocoding is an inexact method which generally places the resulting points at
an arbitrary offset from their addressed street. This practice sometimes results in point
placements that can be hundreds of feet away from their true locations and, when
multiple points share the same address (as with retail stores in a shopping mall), stacked
on top of each other.
Since the points were aggregated into polygon cells for this analysis (as described
below) their precise locations were unimportant. The polygon cells themselves were too
large for Geocoding errors to make much of a difference. Furthermore, since the analysis
used multiple sets of cell divisions (also described below), isolated instances of
individual points falling on the incorrect side of any one particular cell division were not
expected to have a significant overall effect.
A further question arises out of the commercial aspect of the data. Although
NAICS is a government initiative, the actual Business Analyst data was collected and
processed by a corporation for profitable ends. This compromise was necessitated by the
need for such a wide ranging and complex set of inputs which are not available at this
level of detail from any public agency (the Census Bureau makes available NAICS
counts aggregated by zipcode but does not release individual business points).
3.2 North American Industry Classification System
(NAICS)
In order to conduct a meaningful analysis, a classification scheme for amenities
was needed. An analysis treating all amenities as equivalent inputs might have yielded
51
some insights but would certainly have missed out on important nuances. For example,
the importance of a single coffee shop is probably not equivalent to that of a single opera
house. But since businesses and amenities can exhibit incredible variation in their
particular operations, it would not be practical to attempt to manually sort them. The
North American Industry Classification System (NAICS) provides a robust and easily
accessible standardized typology for amenities.
3.2.1 Background
NAICS was implemented in 1997 by the United States Bureau of Labor Statistics
with the dual goals of improving upon the older Standard Industrial Classification (SIC)
system, which dated from the 1930s, and providing a consistent classification scheme for
coordination among Canada, Mexico, and the United States following the implementation
of the North American Free Trade Agreement (NAFTA) (Harchoi, 2004; Russell, Takac,
& Usher, 2004).
3.2.2 Structure
Under NAICS, as opposed to the SIC, industries are grouped together based on
their production processes rather than by their outputs (Harchaoui, 2004; Kelton,
Pasquale, & Robelein, 2008; Krishnan & Press, 2003; Russell, Takac, & Usher, 2004).
The classification scheme employs a nested hierarchy in the form of a six-digit numeric
code. The nested codes categorize business establishments according to their primary
activities.
The codes are structured such that the first digit identifies a very general class of
industries (say, manufacturing or services) and each subsequent digit corresponds to a
52
categorization of greater detail (Russell, Takac, & Usher, 2004, p.32). This system allows
an individual researcher to choose the level of detail at which to group establishments by
choosing to ignore some of the last digits.
The sixth NAICS code digit is for optional differentiation at the discretion of
national governments (thus the sixth digit is not universal for all three countries) and is in
most cases left at zero (undifferentiated). Since this study analyzed only areas within the
United States, the sixth digit was utilized when it provided useful differentiation.
3.2.3 Strengths and limitations
NAICS is nearly universal since all businesses must report a code on their tax
forms. This means that there are few unclassified amenities. Since the business operator
generally self-declares a category, though, there is an element of uncertainty involved
(Krishnan & Press, 2003, p.695). With self-reporting, there is room for amenity operators
to misunderstand the categories or to make differing decisions about ambiguous or
overlapping definitions.
Among businesses with multiple facilities, each physical establishment location is
assigned an NAICS code. The codes therefore classify establishments, not businesses, so
a single business may be involved with several different NAICS codes. This method
makes the codes meaningful in physical location terms, which is useful for this study. If a
single establishment is involved with activities classified under more than one code, that
establishment is assigned the code covering its predominant activity
(http://www.census.gov/eos/www/naics/faqs/faqs.html). This practice does allow for
some further ambiguity in the classification system.
53
Several studies have found that the NAICS classifications are a significant
improvement over SIC in terms of detail and consistency, especially in service industries
such as restaurants and entertainment, and that businesses that share NAICS categories
do tend to exhibit strong internal homogeneity on additional specific measures, which
indicates that the NAICS categories are meaningful in real-world terms (Harchaoui,
2004; Kelton, Pasquale, & Robelein, 2008; Krishnan & Press, 2003). Even though it
represents an improvement over the SIC, though, the detail for the service sector is still
lacking when compared to that for the manufacturing sector (Kelton, Pasquale, &
Rebelein, 2008, p.318).
3.2.4 Data selection
Several NAICS codes were chosen for selecting amenity inputs based on
categories identified in the context section above. Specifically, NAICS codes were
chosen to represent categories of establishments identified by the authors whose cited
work focused on urban amenities: Greene; Clark; and Glaeser, Kolko, & Saiz. NAICS
codes were selected according to the primary business categories identified by these
authors.
Amenity inputs were organized into five primary categories as follows.
CATEGORY A - “Trendy Hangouts”: All three authors (Greene; Clark; and Glaeser,
Kolko, & Saiz) identify the idea of trendy hangouts as important drivers of urban
growth. Greene and Glaeser, Kolko, & Saiz refer generally to trendy retail stores,
while Clark specifically identifies bookstores, brew pubs, Whole Foods, Starbucks,
and juice bars.
54
CATEGORY B - “High Culture”: All three authors also identify the importance of what
they term “High Culture” to urban growth. Clark specifically identifies opera
companies and museums, while Greene identifies various performing arts venues
along with artists themselves, and Glaeser, Kolko, & Saiz identify theaters in general.
CATEGORY C - “Restaurants”: Both Clark and Glaeser, Kolko, & Saiz emphasize the
significance of full-service restaurants.
CATEGORY D - “Hotels”: Glaeser, Kolko, & Saiz suggest that hotels are useful
indicators of the attractiveness of a particular city. Taking that suggestion a step
further, this study uses hotels as an indicator of the attractiveness of a particular part
of a city.
CATEGORY E - “Entertainment”: This category is included as a counterweight to the
“high-culture” category put forward by the amenity authors. While high-culture is
important for capturing the dynamics of urban growth as seen from the perspective of
high-income professionals, it is hoped that the inclusion of broader entertainment
options can expand the analysis to include the dynamics of a more general population.
Entertainment amenities include, for the purposes of this study: cinemas, arcades,
bowling alleys, stadiums, and shopping malls, among others.
Table 1 lists these amenity categories with the particular NAICS codes and
descriptions selected to represent each. Listed codes with less than six digits include all
possible further differentiations which could be made by the additional missing digits.
For example, the listed code “4452” includes all possible six-digit permutations such as
445200, 445201, 445202, and so on. NAICS code descriptions are quoted from the U.S.
55
Census Bureau’s NAICS code “drill-down” website (www.census.gov/cgi-
bin/sssd/naics/naicsrch?chart=2007).
Table 1: Amenity categories with NAICS codes and descriptions.
Category NAICS
Code
NAICS Description
CATEGORY A:
“Trendy
Hangouts”
722213
Snack and
Nonalcoholic
Beverage Bars
This U.S. industry comprises establishments primarily engaged in (1)
preparing and/or serving a specialty snack, such as ice cream, frozen
yogurt, cookies, or popcorn or (2) serving nonalcoholic beverages, such as
coffee, juices, or sodas for consumption on or near the premises. These
establishments may carry and sell a combination of snack, nonalcoholic
beverage, and other related products (e.g., coffee beans, mugs, coffee
makers) but generally promote and sell a unique snack or nonalcoholic
beverage.
451211
Book Stores
This U.S. industry comprises establishments primarily engaged in retailing
new books.
451220
Prerecorded
Tape, Compact
Disc, and Record
Stores
This industry comprises establishments primarily engaged in retailing new
prerecorded audio and video tapes, compact discs (CDs), digital video discs
(DVDs), and phonograph records.
CATEGORY B:
“High Culture”
453920
Art Dealers
This industry comprises establishments primarily engaged in retailing
original and limited edition art works. Included in this industry are
establishments primarily engaged in displaying works of art for retail sale
in art galleries.
712110
Museums
This industry comprises establishments primarily engaged in the
preservation and exhibition of objects of historical, cultural, and/or
educational value.
7111
Performing Arts
Companies
This industry group comprises establishments primarily engaged in
producing live presentations involving the performances of actors and
actresses, singers, dancers, musical groups and artists, and other performing
artists.
CATEGORY C:
“Restaurants”
722110
Full-Service
Restaurants
This industry comprises establishments primarily engaged in providing
food services to patrons who order and are served while seated (i.e,
waiter/waitress services) and pay after eating. These establishments may
provide this type of food services to patrons in combination with selling
alcoholic beverages, providing carry out services, or presenting live
nontheatrical entertainment. [This code specifically excludes pay-before-
eating places, buffets, cafeterias, snack bars, caterers, and food trucks].
CATEGORY D:
“Hotels”
721110 Hotels
(except Casino
Hotels) and
Motels
This industry comprises establishments primarily engaged in providing
short-term lodging in facilities known as hotels, motor hotels, resort hotels,
and motels. The establishments in this industry may offer food and
beverage services, recreational services, conference rooms and convention
services, laundry services, parking, and other services.
(table continues. . .)
56
Table 1, continued.
Category NAICS
Code
NAICS Description
CATEGORY E:
“Entertainment”
7112
Spectator Sports
713
Amusement,
Gambling, and
Recreation
Industries.
[This code includes amenities like skiing, golfing, bowling, and arcades,
but excludes cinemas and spectator sports].
51213
Motion Picture
and Video
Exhibition
This industry comprises establishments primarily engaged in operating
motion picture theaters and/or exhibiting motion pictures or videos at film
festivals, and so forth.
Shopping Malls
(not an NAICS
category)
Malls with a Gross Leasable Area (GLA) over 400,000 square feet were
included.
The particular NAICS hotel code selected (721110) includes all kinds of hotels
and motels but excludes establishments like campgrounds, RV parks, boarding houses,
and bed-and-breakfasts. There is no further differentiation among hotels and motels
available under NAICS. This hotel code also excludes casino hotels, which are classified
under a different NAICS code, but no casino hotels were found in the study areas.
Instead, hotels attached to casinos were found to be classified as individual hotels, while
the casinos were separately classified under NAICS code 713. The casino hotels code
was therefore not used in this study.
As mentioned above, Esri Business Analyst includes a Business Locations
database, wherein business location points are classified by NAICS code. Points fitting
the selected NAICS categories were extracted from the Business Locations database to
serve as inputs to this study.
57
3.3 Directory of Major Malls (DMM)
Shopping malls were added to the entertainment amenity category because they
provide a destination for entertainment and leisure similar to other amenities identified
above. Malls provide this experience apart from the stores within them, meaning that the
mall itself is a destination of its own even if it contains stores that fall into the other
amenity categories (Goss, 1993).
3.3.1 Background
Not all malls provide this type of leisure destination - for example, standard strip
malls arguably do not - so a classification system was needed for malls as well. The
NAICS classifies businesses that operate and manage shopping malls, but it does not
classify the locations of shopping malls themselves. Thus an alternative source was
required, which was provided by the Directory of Major Malls (DMM). The DMM is an
industry association which tracks shopping mall performance and categorizes them
according to size and function. The directory is useful both for developers of new malls
and for operators of retail businesses searching for locations for new stores.
3.3.2 Data selection
The International Council of Shopping Centers (ICSC) identifies several
categories of malls, such as “Neighborhood”, “Regional”, “Power Center”, and
“Lifestyle” malls (ICSC, 2012), but the Esri Business Analyst data does not include these
category attributes. The data does, however, include Gross Leasable Area (GLA), a
standard measure of mall size.
58
Only malls that can serve as leisure destinations in their own right were desired as
amenity inputs for this study. In the absence of more descriptive categorizations, a GLA
threshold was therefore employed for mall selection. Specifically, only malls with a GLA
over 400,000 square feet, the typical minimum size of a “Regional Mall” (ICSC, 2012),
were selected for inclusion in the analysis.
In addition to “Regional” malls, this threshold also includes “Super Regional”
malls. Together, these two classes encompass nearly all indoor shopping malls. The GLA
threshold was also sufficient to include larger “Lifestyle” malls, which are a newer class
meant to capture outdoor malls that attempt to create the same type of atmosphere as an
indoor mall through the inclusion of trendy anchors and carefully constructed
environments (ICSC, 2012).
Lifestyle centers create idealized outdoor landscapes in which to shop such as old-
fashioned urban streetscapes or idyllic pseudo-natural settings. In these malls, the mall
setting itself is an entertainment destination and is therefore appropriate for inclusion in
this analysis. Examples of lifestyle malls include “Downtown Disney” adjacent to
Disneyland in Anaheim, and “The Grove” at 3
rd
St and Fairfax Ave in Los Angeles.
Unfortunately, there are some less entertaining mall classes whose larger malls
can be included by the GLA threshold, including “Power Centers” (collections of giant
big-box or warehouse style stores) and “Factory Outlets”. These inclusions were not
expected to be detrimental to the study, though, because some members of these mall
classes can conceivably function as entertainment destinations, just as some members of
59
the purposefully-included classes probably do not. Thus, the main effect of the GLA
threshold was to filter out neighborhood- and convenience-oriented strip malls.
As mentioned above, Esri Business Analyst includes a Major Shopping Centers
database, wherein mall location points include their GLA as provided by the DMM.
Points representing malls with GLAs over the 400,000 square foot threshold were
extracted from the Major Shopping Centers database to serve as inputs to this study.
60
CHAPTER 4: METHODOLOGY
This study delimits postmodern urban centers by identifying clusters of urban
amenities. The key to this method is not just in finding clusters, but in finding
intersecting clusters of different types of amenities.
After the imposition of several regular cell arrays onto an urban landscape, counts
of particular types of amenities were aggregated into the cells. Clusters of high
concentrations of each type of amenity were then identified and delimited within each
array, identifying each cell that belonged to a cluster.
Clusters from each of the various cell arrays were then overlaid and cluster
membership for each cell fragment was summed to achieve a cluster score, a measure of
how many clusters of a single amenity type coincided at each cell. These cluster scores,
in turn, were also summed to produce a centrality score, a measure of how many clusters
of all amenity types were coincident over each spatial unit. The centrality score was then
cartographically visualized.
4.1 Methodological considerations
The methodology employed several analytical tools, including: the use of control
cities; a Local Indicators of Spatial Association (LISA) analysis; a process for
aggregating points into polygons; and a process for constructing analysis cells. In the
following section I discuss: the need for control cities and how they were selected; the
61
concept behind and abilities of LISA analysis; and considerations of defining cell
adjacency and mitigations for the Modifiable Areal Unit Problem (MAUP).
4.1.1 Controls
One goal of this project was to delimit the center of Los Angeles. In order to have
confidence in the accuracy of the method, the analysis was also performed on two cities
with widely-acknowledged centers: Chicago and New York. Since this analysis
successfully identified centers in the control cities consistent in location with established
expectations for the locations of centers in those cities, the analysis results can be
assumed to be valid for Los Angeles as well.
The center of Chicago was expected to consist of The Loop and its immediate
surroundings plus the Near North Side, a corridor along Lake Michigan north of and
adjacent to The Loop (Abadie & Dermisi, 2008, p.454; Greene, 2008, p.147 & p.150;
Park, Burgess, & McKenzie, 1967, pp.50-55). This area includes the Sears Tower, Grant
Park, the Art Institute of Chicago, Navy Pier, and the Magnificent Mile (Figure 15).
The center of New York was expected to consist of Midtown and Lower
Manhattan - the parts of Manhattan situated south of Central Park (Barr, Tassier, &
Trendafilov, 2010, p.1060; Lee, 2007, p.495; Porter, 2010, p.392). This area includes
Times Square, Wall Street, Rockefeller Center, the Empire State building, the Chrysler
building, the United Nations, the World Trade Center, Penn Station, and Grand Central
Station (Figure 16).
62
The Loop
Near North Side
0123 4 0.5
Miles
[
Figure 15: Expected center of Chicago (basemap: Esri).
Lower Manhattan
Midtown
01 234 0.5
Miles
[
Figure 16: Expected center of New York (basemap: Esri).
63
The expected control centers as depicted by the graphics in figures 15 and 16 are
not meant to be precise or restrictive. As mentioned in the context section above, the true
urban centers are expected to be ambiguously bounded and internally inconsistent. The
use of circles, rather than points, as indicators of expectations is meant to convey this
sense of ambiguity. The circles are drawn over the places that are assumed to be the least
controversial definitions of the centers of these two cities. It would be surprising if the
actual centers delimited by this analysis were to match these expectations exactly, but
identifying any additional territory as expected centers or delimiting the expectations
with greater precision at this point would not be entirely uncontroversial.
4.1.2 Cluster analysis (LISA)
The primary analytical tool employed for this project was a Local Indicators of
Spatial Association (LISA) analysis, which is a statistical measure of local clustering for
area data developed in 1995 by Luc Anselin (now of Arizona State University) at West
Virginia University (Anselin 1995). LISA is an adaptation of the more common Moran’s
I statistic, which measures the extent to which a given variable of a spatial dataset is
either clustered or randomly distributed in space (Bailey & Gatrell 1995, p.270).
Concept
LISA essentially localizes Moran’s I, producing a value for each individual areal
unit of a spatial dataset. This value indicates the similarity or dissimilarity of that unit
relative to its spatial neighbors as well as the proportion at which that local clustering
relationship influences the global Moran’s I for the entire dataset (Anselin 1995; Anselin,
64
Sridharan, & Gholston 2007). LISA analyses identify clusters of local Moran’s I values
along with a p-value indicating significance.
Clustering is based on contiguity of areal units with significant p-values. The
result is a LISA Cluster Map, which indicates four types of LISA clusters: clusters of high
values (of the original variable being analyzed); clusters of low values; isolated high
values surrounded by low values; and isolated low values surrounded by high values
(Anselin, Syabri, & Kho 2006). The present project was concerned with clusters of high
values, and the variable being analyzed was counts of urban amenities. Thus, the clusters
identified in this study represent clusters of high counts of particular kinds of urban
amenities.
Initial experiments for this study found robust clusters in all attempted trial cases,
with cells in the centers of the identified clusters achieving significance values at the
computational limit. In the interest of producing tight results with as much spatial
resolution as possible, therefore, the significance threshold for all clusters in this study
was set at a p-value of less than or equal to 1x10
-9
(0.000 000 001), within a few digits of
the computational limit.
This high p-value threshold means that the identified clusters are robust, but it
also implies that the underlying phenomenon may be broader in areal extent than what is
delimited here. Thus, while there can be a high degree of confidence in the results, they
should be interpreted as representing only the strongest cores of processes which play out
over wider areas. If we are to understand urban centers as being ambiguously bounded
and internally inconsistent, the centers delimited under this analysis should be seen as
65
comprising the innermost parts of such centers with the least ambiguity over their
inclusion.
LISA’s strengths
LISA’s local derivation of significance allows for the identification of clusters of
especially high values within a field of generally high values, as well as the identification
of clusters of average values within a field of low values - all within the same dataset. In
essence, significance is computed relative to the cluster’s immediate surroundings as well
as being relative to the global norms of the dataset.
One advantage to seeking spatial clusters in this way is that there is no need to
establish absolute value thresholds to apply to a national dataset. LISA analysis is wholly
dependent on the area under study. So if one city has many coffee shops throughout its
area, it will take an especially large concentration of coffee shops to trigger a significant
cluster identification. But if another city has virtually no coffee shops, a group of two or
three of them would be sufficient to trigger a cluster. Thus the analysis identifies spaces
that are important relative to their local surroundings. There is no need, then, to attempt
to establish standard national thresholds such as 5 coffee shops per square mile or the like
- a common problem with many other attempts to define urban centrality. The beauty of
this method is that the center is defined locally.
Since contiguity, clustering, and significance are all computed, there can be a high
degree of confidence that the resulting cluster boundaries have meaning. The only
arbitrary aspect to the clusters is that of the original spatial aggregation scheme, which is
an inescapable problem for any polygon-based GIS analysis (see the MAUP section
66
below for mitigations of this problem). Another advantage of LISA compared to many
other measures of spatial correlation is that LISA identifies the clusters that actually exist
in a data set, rather than attempting to fit a smooth mathematical curve to the entire space.
LISA’s limitations
LISA, however, is not a perfect tool. A LISA analysis will always identify some
clusters, unless the attribute under study is completely evenly dispersed. This means that
LISA will identify clusters in the data even if these clusters are merely the result of a
random distribution. So the existence of a LISA cluster does not in itself reveal that the
data exhibits strong autocorrelation, it merely delimits the extent of the clusters it does
find.
This study mitigates for this limitation through the search for multiple coincident
clusters of differing amenity types. Spatial coincidence of separate inputs implies that a
non-random organization is operating above all the input variables. If the pattern were
truly random, the different individual clusters wouldn’t coincide to produce areas with
high cluster scores (see below for a discussion of cluster scores) - instead the cluster
scores would be generally low and evenly dispersed.
Since the analysis area in this study covers both urban and rural space, it could be
expected to at the very least identify the urban space as a cluster within the study area.
The question of interest then becomes: can we identify smaller clusters within this urban
space?
67
Finally, it is important to note that LISA is an exploratory method, not a statistical
analysis. This study is not concerned with determining some statistical measure of the
data but rather with identifying where the data clusters in space.
Cluster fringes
A question of cluster fringe-inclusion is raised during the LISA analysis. The
spatial units identified as clusters by the LISA analysis represent only the core of a given
cluster, since inclusion in a cluster requires most neighbors to have high values. Thus, the
actual extent of the cluster should be interpreted as including all the spatial units which
are adjacent to the core cluster identified by the LISA analysis, in addition to that core
cluster itself (Luc Anselin, personal communication, March 6, 2012).
A trail run of this analysis did produce clusters that appeared to be too small by
approximately one spatial input unit around the fringes, given subjective general
knowledge of the areas in question. Therefore, for this analysis a mechanism was devised
for inclusion of cluster fringe polygons. The attribute indicating cluster membership was
changed from a binary indication to a three-step relative scale, called a cluster value.
Cells which were identified by the LISA analysis as belonging to a cluster were given a
cluster value of two, while all cells adjacent to that core cluster were given a cluster value
of one, and other cells a cluster value of zero.
This mechanism means that cluster-adjacency does allow a polygon to contribute
to the sum of coincident cluster values, but at half the strength of the core cluster
members. This method added some nuance to the analysis while also allowing for more
realistic final cluster boundaries. The high p-value threshold for cluster identification and
68
the half-weighted fringe-inclusion in the cluster score means that the real-world clusters
identified by this analysis are probably in truth somewhat larger in area than as delineated
here. As such, this analysis is only one perspective onto reality, not an exact
representation of it.
Adjacency
A LISA analysis compares values among adjacent spatial units, and there are
three basic ways to define adjacency. The simplest definition is to say that polygons are
adjacent only when they share an edge, known as ‘rook’ adjacency. Another definition is
to expand adjacency to include polygons that share an edge or a vertex, known as ‘queen’
adjacency. The third definition is to define adjacency by a distance limit, so that polygons
which are very near to each other may be considered adjacent even if they don’t actually
touch.
The distance method is only necessary when using a highly irregular set of
polygons (to allow adjacency to jump over an intervening sliver polygon) or when given
a set of polygons that is too finely grained (to allow adjacency to include a large number
of neighbors). Since the cells used in this study were both regular and deliberately sized
(as described below), this method of defining adjacency was not necessary.
The difference between ‘rook’ and ‘queen’ adjacency comes into play with
irregular polygons and with regular rectangular grids. The selection of one or the other
definitions must be made according to the spatial processes being studied. This study
used a hexagonal tessellation of cells in order to eliminate the uncertainty inherent in
69
choosing between rook and queen definitions. In a hexagonal array, all cells that share a
vertex also share an edge, so there is no difference between rook and queen adjacency.
For this reason, a hexagonal array is a more realistic model of real-world
processes when adjacency is a factor in the analysis. Compared to a rectangular grid, a
hexagonal array also has an advantage when applied in urban settings of reducing the
number of artifacts resulting from interaction of the grid boundaries with the ubiquitous
rectangular street grid pattern found in most American cities.
4.1.3 The Modifiable Areal Unit Problem MAUP
One significant issue with spatial analyses involving polygons is the Modifiable
Areal Unit Problem (MAUP), which is a recognition that differing aggregations of the
same underlying phenomena can produce differing analysis results. A spatial
phenomenon that happens to be bisected by a polygon edge might be diluted into the two
polygons’ attribute values and thus fail to show up in an analysis. Also, spatial
phenomena can be obscured by aggregation cells that are too large or too small.
Recognizing MAUP
Some of the figures in the analysis process section below provide examples of
MAUP. For instance, there is a large group of restaurants in downtown Santa Monica
which extends a few miles to the northeast (Figure 29 below). Under one aggregation
scheme used in this study (Figure 35 below), the entire group is aggregated into a single
cell. That cell consequently has a high number of restaurants and is included in the
resulting LISA cluster. However, under another aggregation scheme (Figure 36 below),
the group is split among three adjacent cells. While the two eastern cells also cover other
70
groups of restaurants and therefore maintain high restaurant values and are included in
the cluster, the western cell does not. This discrepancy in the way the cell borders
intersect the underlying data changes the shape of the resulting cluster.
A similar discrepancy can be observed in the area between North Hollywood,
Burbank and Glendale. One arrangement of cells (Figure 33 below) captures the gap in
restaurants here while another arrangement (Figure 34 below) does not. The area is
included in the LISA clusters under both arrays of larger cells (figures 35 & 36 below),
though, illustrating that cell size also causes MAUP discrepancies. Hence, the size of the
polygons under analysis must be appropriate to the scale at which the phenomena under
study are operating. Performing the same analysis on the same data aggregated into
different sets of analysis cells can therefore produce different results.
Aside from these problems of aggregation, additional MAUP issues can arise in
sets of politically drawn administrative boundaries such as zip codes or electoral districts.
These types of boundaries tend to have convoluted outlines and widely-varying shapes
and sizes which can cause unexpected behaviors when adjacency is an analysis factor.
Mitigations
This study mitigated for MAUP in three ways. First, the use of a regular array of
hexagonal analysis cells eliminated the problems inherent in using pre-made
administrative boundaries. Second, the analysis was repeated using cell arrays of
different sizes so as to catch clustering processes operating at different scales. And third,
the analysis was repeated using cell arrays that were offset from each other, allowing the
true data points to be aggregated in different ways. The results of the analyses on these
71
differing aggregation schemes were merged to produce an overall output that mitigated
against some of the effects of MAUP.
Multiple cell sizes
Selecting a cell size is largely an arbitrary and subjective process. In order to
reduce the uncertainty inherent in such a selection, this study used three cell sets each
employing different cell sizes. One set employed a cell width (interior diameter) of 2 km,
another set 5 km, and the third set 13 km (Figure 17). Kilometers were chosen as a unit of
measurement so as to avoid any possible artifacts arising from interaction with the
ubiquitous street pattern found in most American cities which, especially in Los Angeles,
tends to place major streets at half-mile intervals.
[
0 246 8 10 1
Kilometers
13km cell array A
5km cell array A
2km cell array A
Figure 17: Varied cell sizes for capturing processes operating at multiple scales.
72
The proportional relationship among the cell sizes, roughly 2/5, was selected to
avoid a situation in which the larger cell boundaries would frequently coincide with those
of the smaller cells. Because the smaller cell array was meant to capture clustering
processes operating at the neighborhood level, the two kilometer cell width was selected
as a reasonable approximation of the size of an easily-walkable neighborhood. But since
LISA finds local clusters, an array of small cells will result in many clusters across the
area under study. The larger cell sizes were therefore necessary in order to identify more
regional clustering trends at the sacrifice of neighborhood-level detail. The largest cell
width, thirteen kilometers, was selected as a reasonable approximation of an easily-
driveable neighborhood. The five kilometer width was selected as an intermediate scale
between these two extremes.
Pairs of displaced cell arrays
In order to address the issue of underlying phenomena being arbitrarily divided
into overlying cells, this study employed pairs of displaced cell sets. Specifically, each
initial set of cells of each specific cell size (above) was copied and displaced by half the
length of the cell’s outer diameter, at an angle of 60 degrees. This resulted in two sets of
cells for each cell size, wherein areas that straddled cell vertexes in the first array were
contained in the centers of cells in the second array (Figure 18). Thus any spatial
phenomena divided into different cells under one array would be either undivided, or at
least differently divided, in the other array of cells of the same size.
73
[
0 246 8 10 1
Kilometers
5km cell array B
5km cell array A
Figure 18: Offset pairs of cell arrays to aggregate the underlying data in different ways.
The internal cell diameters were 2 km, 5 km, and 13 km, which created external
diameters of 2.309 km, 5.773 km, and 15.011 km, respectively. The arrays were
displaced by half the outer diameter at 60 degrees by calculating the equivalent vertical
and horizontal displacement: (0.57735, 1.000), (1.443375, 2.500), and (3.752775, 6.500),
respectively. The six resulting sets of cells are subsequently referred to as analysis
arrays.
Merged array
After identifying clusters within each analysis array, all six arrays were merged
into a union array which combined the results of each, thus reducing the uncertainty
arising from MAUP. To create the union array, all six analysis arrays were intersected
74
(Figure 19) to create a new array of cell fragments reflecting the boundaries of all six cell
sets (Figure 20).
[
0 246 8 10 1
Kilometers
13km cell array A
13km cell array B
5km cell array A
5km cell array B
2km cell array A
2km cell array B
Figure 19: All six analysis arrays, intersected.
75
[
0 246 8 10 1
Kilometers
Union cell array
Figure 20: The union array, made from the intersected analysis arrays.
4.1.4 Attribute tables
In order to reduce data storage space and replication errors, all input variables and
analysis outputs were kept as attributes of a single polygon feature class (each analysis
array). In practice the analysis results were often output as new shapefiles, the relevant
attributes of which were then joined back to the full table. A globally-unique
identification number was assigned to every analysis cell, in order to facilitate the joining
of data. Table 2 lists the attributes of each analysis array, while Table 3 lists the attributes
of the union array.
76
Table 2: Attributes of each analysis array.
Group Attribute Description
Key
CellID unique identification code for each cell
Amenity Counts
(count of aggregated amenity points
from each NAICS code)
Count_722213 count of Snack and Nonalcoholic Beverage Bars
Count_451211 count of Book Stores
Count_451220 count of Prerecorded Tape, Compact Disc, and Record Stores
Count_453920 count of Art Dealers
Count_712110 count of Museums
Count_7111 count of Performing Arts Companies
Count_722110 count of Full-Service Restaurants
Count_721110 count of Hotels and Motels
Count_7112 count of Spectator Sports
Count_713 count of Amusement, Gambling, and Recreation Industries
Count_51213 count of Motion Picture and Video Exhibition
Count_Malls count of Shopping Malls
Amenity Category
Counts
(sum of amenity
counts for amenity
categories with
multiple member
amenity types)
Count_A “Trendy Hangouts” group: sum of Count_722213 + Count_451211 +
Count_451220
Count_B "High Culture" group: sum of Count_453920 + Count_712110 +
Count_7111
Count_E "Entertainment" group: sum of Count_7112 + Count_713 +
Count_51213 + Count_Malls
Amenity Category
Cluster Values
(value of 0 for no
cluster, 1 for cluster
fringe, or 2 for
cluster core)
Cluster_A clusters of Count_A "Trendy Hangouts"
Cluster_B clusters Count_B “High Culture”
Cluster_C clusters of Count_722110 “Restaurants”
Cluster_D clusters of Count_721110 “Hotels”
Cluster_E clusters of Count_E “Entertainment”
77
Table 3: Attributes of the union array.
Group Attribute Description
Input Cell IDs
CellID_02a CellID of the overlying cell in the 2 km analysis array A
CellID_02b CellID of the overlying cell in the 2 km analysis array B
CellID_05a CellID of the overlying cell in the 5 km analysis array A
CellID_05b CellID of the overlying cell in the 5 km analysis array B
CellID_13a CellID of the overlying cell in the 13 km analysis array A
CellID_13b CellID of the overlying cell in the 13 km analysis array B
Input Cluster Values
Cluster_A_02a "Trendy Hangouts" cluster value from the overlying cell in the 2 km
analysis array A
Cluster_B_02a “High Culture” cluster value from the overlying cell in the 2 km analysis
array A
Cluster_C_02a “Restaurants” cluster value from the overlying cell in the 2 km analysis
array A
Cluster_D_02a “Hotels” cluster value from the overlying cell in the 2 km analysis array A
Cluster_E_02a “Entertainment” cluster value from the overlying cell in the 2 km analysis
array A
Cluster_A_02b "Trendy Hangouts" cluster value from the overlying cell in the 2 km
analysis array B
Cluster_B_02b “High Culture” cluster value from the overlying cell in the 2 km analysis
array B
Cluster_C_02b “Restaurants” cluster value from the overlying cell in the 2 km analysis
array B
Cluster_D_02b “Hotels” cluster value from the overlying cell in the 2 km analysis array B
Cluster_E_02b “Entertainment” cluster value from the overlying cell in the 2 km analysis
array B
Cluster_A_05a "Trendy Hangouts" cluster value from the overlying cell in the 5 km
analysis array A
Cluster_B_05a “High Culture” cluster value from the overlying cell in the 5 km analysis
array A
Cluster_C_05a “Restaurants” cluster value from the overlying cell in the 5 km analysis
array A
Cluster_D_05a “Hotels” cluster value from the overlying cell in the 5 km analysis array A
Cluster_E_05a “Entertainment” cluster value from the overlying cell in the 5 km analysis
array A
Cluster_A_05b "Trendy Hangouts" cluster value from the overlying cell in the 5 km
analysis array B
Cluster_B_05b “High Culture” cluster value from the overlying cell in the 5 km analysis
array B
Cluster_C_05b “Restaurants” cluster value from the overlying cell in the 5 km analysis
array B
Cluster_D_05b “Hotels” cluster value from the overlying cell in the 5 km analysis array B
Cluster_E_05b “Entertainment” cluster value from the overlying cell in the 5 km analysis
array B
(table continues. . .)
78
Table 3, continued.
Group Attribute Description
Input Cluster Values
Cluster_A_13a "Trendy Hangouts" cluster value from the overlying cell in the 13 km
analysis array A
Cluster_B_13a “High Culture” cluster value from the overlying cell in the 13 km analysis
array A
Cluster_C_13a “Restaurants” cluster value from the overlying cell in the 13 km analysis
array A
Cluster_D_13a “Hotels” cluster value from the overlying cell in the 13 km analysis array
A
Cluster_E_13a “Entertainment” cluster value from the overlying cell in the 13 km
analysis array A
Cluster_A_13b "Trendy Hangouts" cluster value from the overlying cell in the 13 km
analysis array B
Cluster_B_13b “High Culture” cluster value from the overlying cell in the 13 km analysis
array B
Cluster_C_13b “Restaurants” cluster value from the overlying cell in the 13 km analysis
array B
Cluster_D_13b “Hotels” cluster value from the overlying cell in the 13 km analysis array
B
Cluster_E_13b “Entertainment” cluster value from the overlying cell in the 13 km
analysis array B
Cluster Scores
(sum of amenity category
cluster membership among
each input analysis array)
ClusterScore_A sum of Cluster_A_02a + Cluster_A_02b + Cluster_A_05a +
Cluster_A_05b + Cluster_A_13a + Cluster_A_013b
ClusterScore_B sum of Cluster_B_02a + Cluster_B_02b + Cluster_B_05a +
Cluster_B_05b + Cluster_B_13a + Cluster_B_013b
ClusterScore_C sum of Cluster_C_02a + Cluster_C_02b + Cluster_C_05a +
Cluster_C_05b + Cluster_C_13a + Cluster_C_013b
ClusterScore_D sum of Cluster_D_02a + Cluster_D_02b + Cluster_D_05a +
Cluster_D_05b + Cluster_D_13a + Cluster_D_013b
ClusterScore_E sum of Cluster_E_02a + Cluster_E_02b + Cluster_E_05a +
Cluster_E_05b + Cluster_E_13a + Cluster_E_013b
Centrality
Score
(sum of all
cluster scores)
CentralityScore sum of ClusterScore_A + ClusterScore_B + ClusterScore_C +
ClusterScore_D + ClusterScore_E
4.2 Analysis process
4.2.1 Establish study areas
This study sought to analyze processes of urban structure that operate at the level
of ‘cities’ in the morphological sense rather than in the legal (incorporated municipality)
sense, meaning an entire coherent metropolitan system - a central city plus its satellite
centers and suburbs. But defining the bounds of metropolitan areas is still a complicated
79
practice with many unresolved issues. The process by which the extents of the analysis
areas were determined was therefore somewhat complicated in order to be consistent
across all three study cities.
For each subject city, the initial study area was defined as a 50km buffer beyond
the minimum bounding rectangle of all the urban areas within the subject metropolitan
area. This initial study area was used to establish bounds for creating the analysis cells
and for acquiring amenity points, but the analysis itself was carried out on a more
restricted region delineated by the convex hull of the set of urban areas within the study
area. A convex hull is the smallest polygon with an entirely convex exterior boundary
that is capable of containing a set of given input shapes. For any given input, there is one
and only one possible convex hull.
Combined Statistical Area (CSA)
The starting point for defining the study areas was provided by Combined
Statistical Areas (CSA). CSAs are the highest level of metropolitan area aggregation
defined by the Office of Management and Budget (OMB) and used by the Census. They
represent the most inclusive conceptualization of metropolitan areas that are officially
recognized.
A CSA is formed by combining multiple adjacent Metropolitan Statistical Areas
(MSA) that have significantly integrated employment commuting areas (Office of
Management and Budget, 2000, p.82237). An MSA, in turn, is defined by OMB as an
urban core or cores plus the surrounding urban areas that “have a high degree of
80
interaction” (p.82228). The smallest unit of aggregation making up an MSA is a county,
so MSA and CSA boundaries are always coincident with county lines.
Most large metropolitan areas, including Los Angeles, Chicago, and New York,
are represented by a CSA rather than by a single Metropolitan Statistical Area. For
example, the "Oxnard-Thousand Oaks-Ventura, CA" MSA is subsumed within the larger
"Los Angeles-Long Beach-Riverside, CA" CSA. Thus, CSAs are the most appropriate
level of metropolitan analysis for this study, since focusing on MSAs would leave out
significant chunks of truly integrated metropolitan areas.
Because MSAs and CSAs include only whole counties, they also include much
rural land within their boundaries. They therefore do not serve well as spatial
delimitations of the metropolitan areas they represent (p.82228). The Los Angeles CSA
covers hundreds of square miles of sparsely-populated desert in northern and eastern San
Bernardino and Riverside Counties, for example, because the urbanized portions in the
south and west of those counties participate in the inter-county metropolitan activities
that define the CSA (Figure 21). For spatial bounds, therefore, the Census’s Urban Areas
become necessary.
81
CA
NV
AZ
San Bernardino County
Riverside County
Orange
County
Los Angeles
County
Kern
County
Inyo County
San Diego County Imperial County
[
020 40 60 10
Miles
County line
Urban Area
CSA
Figure 21: Urban areas in San Bernardino and Riverside counties (UAs & CSA: U.S. Census Bureau;
county borders: Cal-Atlas Geospatial Clearinghouse [atlas.ca.gov]; basemap: Esri).
Urban Area (UA)
An Urban Area (UA) is defined by the Census as a contiguous collection of small
spatial units (Census blocks and block groups) that each exceed a certain population
density threshold and collectively exceed a certain total population threshold (Department
of Commerce, 2002, p. 11667). Once a UA is established based on these population
thresholds, adjoining and surrounded blocks exhibiting urban land uses but lacking the
population density (such as airports, factories, or shopping malls) are added. Since
Census Blocks are very small, this method yields very detailed and realistic depictions of
the areal extents of cities. The concept of urban contiguity can skip over certain kinds of
non-urban space (such as rivers or military bases) so long as the distance skipped is
82
small, but in most cases intervening territory (such as small mountain ridges, large parks,
or a few miles of farmland) cause breaks in contiguity which lead to the definition of
multiple separate UAs nearby to each other (p.1168).
Because of these breaks in UA contiguity, CSAs generally contain dozens of
individual UAs within their borders. It would be inappropriate to analyze individual UAs
for this study, since metropolitan processes operate at the CSA level and include multiple
UAs, but CSAs do not provide a good spatial boundary for spatial analysis. Thus, all the
UAs within a single CSA were combined by this study to create the spatial outline of that
metropolitan area for use in establishing the study areas.
Notes
Urban Clusters (UC) are a newer concept that are related to UAs and are intended
to capture the boundaries of even the smallest and least dense settlements. UCs must be
mentioned here because they are often categorized and delivered by the Census alongside
UAs, as with the UA & UC shapefile obtained from the Census for this study. UCs were
excluded from the process of defining the study areas for this project because their
generous inclusiveness makes them spatially ubiquitous. This ubiquity in turn makes
them unhelpful during attempts to define spatial limits.
Because Census 2010 Urban Areas were not yet available at the time of this
study, Census 2000 definitions were used. This lack of currency was not expected to
significantly affect the analysis, though, because the study areas were broadly defined
and included ample buffer zones. Shapefiles representing CSA and UA boundaries were
obtained from the Census website (www.census.gov).
83
Method
Since some UAs overlap CSA borders, there is no binary in/out relationship
between the two classes. Therefore all UAs whose centroid fell within a given CSA were
deemed to be a part of that CSA for this study. Selection based on centroid containment
is a standard spatial selection method offered on-the-fly within ArcMap without
necessitating the separate calculation of centroid locations.
Once all of a CSA’s UAs were selected, a minimum bounding rectangle was drawn
around them and buffered outwards an additional 50 km. This rectangle defined the initial
study area for that city. The smaller analysis area, as mentioned above, was defined by
the convex hull of the selected UAs. These operations were conducted in an unprojected
workspace using the native coordinate system of the shapefiles as received from the
Census: GCS North American 1983. Figure 22 outlines the study area and analysis area
definition process. Figures 23, 24, and 25 depict each subject city’s study area and
analysis area, and the CSA and UAs that defined them.
84
Census
CSAs
Census
UAs &
UCs
Select only
UAs
UAs
Select the
CSA in
question
One
CSA
Select all UAs
with centroids
in the CSA
One
CSA’s
UAs
Dissolve UAs
into one
multipolygon
UA
multi-
polygon
Create feature
envelope
around
multipolygon
UA
feature
envelope
Buffer
(expand) by
50 km
One
initial
study
area
Create convex
hull around
multipolygon
One
analysis
area
Figure 22: Study area and analysis area creation process.
WI
IA
IL
IN
MI
OH
020 40 60 80 100 10
Miles
[
CSA
UA inside CSA
UA outside CSA
Initial study area
Analysis area
Figure 23: Chicago initial study area and analysis area (UAs & CSA: U.S. Census Bureau; basemap: Esri).
85
NY
PA
MD
NJ
CT
RI
MA
020 40 60 80 100 10
Miles
[
CSA
UA inside CSA
UA outside CSA
Initial study area
Analysis area
Figure 24: New York initial study area and analysis area (UAs & CSA: U.S. Census Bureau;
basemap:Esri).
86
CA
NV
AZ
BC
[
020 40 60 80 100 10
Miles
CSA
UA inside CSA
UA outside CSA
Initial study area
Analysis area
Figure 25: Los Angeles initial study area and analysis area (CSA & United States UAs: U.S. Census
Bureau; basemap & Mexican UAs: Esri).
4.2.2 Create analysis arrays
Creation of initial arrays
The analysis cell arrays were created using the initial study areas as spatial limits.
In order that the arrays would look “square” in the eventual analysis maps, the projection
for this and all subsequent work was changed to the appropriate UTM zone for each city
(Zone 11 North for Los Angeles, 16 North for Chicago, 18 North for New York), using
the North American Datum of 1983.
A free ArcMap “Create Hexagons” tool was used to create the regular hexagonal
analysis arrays. The tool is available from Esri’s ArcGIS Resource Center and runs from
ArcMap’s toolbox (http://resources.arcgis.com/gallery/file/Geoprocessing-Model-and-
87
Script-Tool-Gallery/details?entryID=6043EA4D-1422-2418-3421-D80F2F5C5F92 , 06-
22-2010 version). The inputs to this tool are any feature or shapefile which is used to
define the extents of the array, plus the desired width (internal diameter) of the cells. In
this case, an initial study area polygon was used to define the extents.
The tool runs a script which works by first creating a rectangular grid of points
across the input extents using ArcMap’s built-in “Fishnet” tool. Then another rectangular
grid of points is created at an offset from the first grid so that the resulting set of points
forms a hexagonal tessellation. Finally, Thiessen polygons are generated around the
points, resulting in a regular hexagonal array. The tool was run once for each cell size
over each study area. Then each resulting array was duplicated and manually offset to
create a pair of arrays for each cell size as described above.
Selection of analysis arrays
Once a full set of six initial arrays was generated for an initial study area, only
those cells overlapping the analysis area were selected. Cells near the edge of an array,
though, can behave in unexpected ways during spatial analyses because they have fewer
neighbors than most cells in the array and they lack information about the attributes of
neighbors that are off the edge. This phenomenon is known as an ‘edge effect’.
In order to mitigate against possible edge effects, the selection of cells was
expanded to include all immediately adjacent cells. The final selection, then, consisted of
cells covering the entire analysis area plus a complete set of neighboring cells. This
selection became the analysis array. Six analysis arrays were generated for each subject
88
city. Figure 26 outlines the cell array creation process. Figure 27 depicts one initial array
and its selected analysis array for Los Angeles.
Initial
study
area
Create
hexagons
covering
initial study
area
One
analysis
array
One
initial
analysis
array
Select from
initial analysis
array those cells
which overlap
analysis area
Expand
selection to
include all
adjacent cells
Copy and
offset by half
a cell width at
60
offset
initial
analysis
array
Analysis
area
Repeat
process for all
analysis array
cell sizes and
array offsets
Figure 26: Analysis array creation process.
[
020 40 60 80 100 10
Miles
Analysis 13km cell array A
Initial 13km cell array A
Analysis Area
Initial Study Area
Figure 27: Example cell arrays over Los Angeles (United States state borders: U.S. Dept. of Transportation;
Mexican state borders: Esri).
89
4.2.3 Collect amenity points
As mentioned above, Esri Business Analyst was used to obtain points
representing the locations of individual urban amenities. The Business Analyst tool called
“Add Business Listings” was used to display points representing the geocoded locations
of all the businesses matching a selected NAICS code within an initial study area.
Businesses with longer codes nesting inside the selected NAICS code were also
displayed.
Once displayed, the points were exported as a feature class for later aggregation.
This process was repeated for each of the selected NAICS codes and for each subject
city. Figure 28 outlines the amenity point collection process. Figure 29 depicts an
example of some collected points, specifically full-service restaurants (NAICS code
722110) in the central Los Angeles area.
Point
locations
of one
amenity
type
(provides bounding extents)
Initial
study
area
Business
Analyst:
“Add
Business
Listings”
One NAICS
code (restricts types of businesses returned)
Export points
Amenity
points
Repeat
process for all
amenity types
Figure 28: Amenity point collection process.
90
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !" ! " ! " !
" ! " ! " ! " ! " ! " !
" !" !
" ! " !
" ! " !" !
" ! " !" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" !" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !" ! " ! " ! " !
" !
" ! " !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !" !
" ! " ! " !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !" !
" ! " !" ! " ! " !
" ! " ! " !
" !" ! " !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !" !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" ! " !
" ! " !
" ! " !" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !" ! " ! " ! " !
" !
" ! " !
" !" ! " !" !" !
" ! " ! " !
" !" !
" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !" !
" ! " !" ! " ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !" ! " !" !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !" ! " !
" ! " !" ! " !" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" !
" !
" ! " !" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !" !" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
"
" !
" ! "
" !
" ! " !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " !" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !" !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !" !
" !
" ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
"
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " ! " !" ! " ! " !
" !
" !" !" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
"
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" !
"
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" ! " ! " ! " !
" !
" ! " ! " !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !" !" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" ! " !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !" ! " ! " ! " ! " !
" ! " !
" !" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !" !
" ! " !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" ! " !" ! " ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" !" ! " !
" !
" !" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !" ! " ! " !
" ! " ! " ! " !" ! " !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " !
" ! " !" ! " ! " ! " !
" !
" !" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" !
" ! " !
" !" !
" !
" ! " ! " !" !
" !
" !
" !" ! " ! " !
" !" ! " !
" !
" ! " ! " ! " ! " !" !
" !
" !
" !
" !
" ! " ! " ! " ! " !" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !" !" ! " ! " ! " !
" ! " !" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
"
" !
" !
" !
" ! " !
"
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !" !
" ! " ! " !
" !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !" !" ! " ! " ! " !" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !" ! " !" ! " ! " !" ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " ! " !" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !" ! " ! " !" ! " !" !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !" ! " ! " ! " ! " ! " ! " !" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " ! " ! " !" !
" ! " ! " !
" !" !
" !" ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !" ! " !
" ! " !
" !" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" ! " !
" !" ! " !" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !" ! " !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !" !
" ! " !" !
" ! " !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !" !" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !" ! " !
" ! " !" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" !" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !" ! " !
" !
" !
" ! " !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " ! " !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !" ! " ! " ! " !" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " !
" !" ! " !
" ! " !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " ! " !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " ! " ! " !
" !" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" !" ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" " !
" !" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" ! " !" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !
" ! " ! " !" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !" ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Full-Service Restaurant
" !
Urban Area
Figure 29: Full-Service restaurants in central Los Angeles (restaurants: Esri Business Analyst; freeways &
shoreline: U.S. Dept. of Transportation; urban area: U.S. Census Bureau).
4.2.4 Aggregate points into cells
The need to aggregate
The need to aggregate amenity point locations into polygons arose because the
study sought the areal bounds of clusters rather than measures of clustering at given
points or generalized measures of clustering for the whole dataset. The use of LISA (a
polygon-based method) rather than a point pattern analysis allowed for the combination
of abstract values (cluster scores) in particular spatial regions (analysis cells).
Thus, attribute values - not point locations - were the spatial behavior of interest.
In other words, the amenities themselves were not modeled as singular events but as
attributes of a space. These needs necessitated the conversion of the original point data
91
into polygons with aggregated counts of input points (Bailey & Gatrell, 1995, p.76 &
248).
Aggregation method
The method of aggregating points into polygons is a straightforward and
commonplace geoprocessing tool, which Esri calls a “spatial join”. Once a grid of
analysis cells was created, the points representing a given set of amenities were overlaid
upon it. Then the number of points falling within each cell was computed and that count
was recorded as an attribute value of the cell in an output table. This table was then
joined to the analysis array’s table based on the unique cell IDs and the counts of
amenities were copied to the analysis array. The process was repeated for each amenity
type, resulting in a table of attributes wherein each record represented a single analysis
cell and each attribute recorded the count of a particular set of amenities for each cell (see
Table 2 above). Figure 30 outlines the aggregation process. Figures 31 through 36 depict
the aggregations of restaurants into each of the six analysis arrays in central Los Angeles.
These figures also show the cluster core outlines produced by the analysis, which are
explained below.
While it is common in many urban analyses to normalize certain count values
according to the underlying population distribution, amenity counts in this study were not
normalized for population density. This study sought to identify clusters of amenities, not
to identify where there were amenities in numbers disproportionate to their surrounding
population density. Normalization was also made unnecessary by the uniform analysis
cell sizes.
92
Table with
count of
points for
each cell
Join table to
analysis array
and copy
point count
Analysis
array
Amenity
points
Spatial join
Analysis
array
with
amenity
count
Repeat
process for all
amenity types
and all arrays
Figure 30: Amenity point aggregation process.
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !" ! " ! " !
" ! " ! " ! " ! " ! " !
" !" !
" ! " !
" ! " !" !
" ! " !" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" !" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !" ! " ! " ! " !
" !
" ! " !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !" !
" ! " ! " !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !" !
" ! " !" ! " ! " !
" ! " ! " !
" !" ! " !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !" !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" ! " !
" ! " !
" ! " !" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !" ! " ! " ! " !
" !
" ! " !
" !" ! " !" !" !
" ! " ! " !
" !" !
" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !" !
" ! " !" ! " ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !" ! " !" !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !" ! " !
" ! " !" ! " !" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" !
" !
" ! " !" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !" !" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
"
" !
" ! "
" !
" ! " !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " !" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !" !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !" !
" !
" ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
"
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " ! " !" ! " ! " !
" !
" !" !" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
"
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" !
"
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" ! " ! " ! " !
" !
" ! " ! " !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !" !" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" ! " !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !" ! " ! " ! " ! " !
" ! " !
" !" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !" !
" ! " !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" ! " !" ! " ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" !" ! " !
" !
" !" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !" ! " ! " !
" ! " ! " ! " !" ! " !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " !
" ! " !" ! " ! " ! " !
" !
" !" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" !
" ! " !
" !" !
" !
" ! " ! " !" !
" !
" !
" !" ! " ! " !
" !" ! " !
" !
" ! " ! " ! " ! " !" !
" !
" !
" !
" !
" ! " ! " ! " ! " !" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !" !" ! " ! " ! " !
" ! " !" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
"
" !
" !
" !
" ! " !
"
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !" !
" ! " ! " !
" !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !" !" ! " ! " ! " !" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !" ! " !" ! " ! " !" ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " ! " !" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !" ! " ! " !" ! " !" !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !" ! " ! " ! " ! " ! " ! " !" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " ! " ! " !" !
" ! " ! " !
" !" !
" !" ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !" ! " !
" ! " !
" !" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" ! " !
" !" ! " !" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !" ! " !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !" !
" ! " !" !
" ! " !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !" !" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !" ! " !
" ! " !" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" !" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !" ! " !
" !
" !
" ! " !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " ! " !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !" ! " ! " ! " !" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " !
" !" ! " !
" ! " !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " ! " !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " ! " ! " !
" !" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" !" ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" " !
" !" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" ! " !" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !
" ! " ! " !" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !" ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Cluster of restaurants
Cell with 85 to 343 restaurants
Cell with 22 to 84 restaurants
Cell with 6 to 21 restaurants
Cell with 2 to 5 restaurants
Cell with one restaurant
Cell with no restaurants
Full-Service Restaurant
" !
Figure 31: Los Angeles restaurants aggregated into the 2km analysis array A with resulting core cluster
delineation; cell counts are classified on a logarithmic scale (restaurants: Esri Business Analyst; freeways
& shoreline: U.S. Dept. of Transportation).
93
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !" ! " ! " !
" ! " ! " ! " ! " ! " !
" !" !
" ! " !
" ! " !" !
" ! " !" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" !" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !" ! " ! " ! " !
" !
" ! " !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !" !
" ! " ! " !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !" !
" ! " !" ! " ! " !
" ! " ! " !
" !" ! " !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !" !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" ! " !
" ! " !
" ! " !" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !" ! " ! " ! " !
" !
" ! " !
" !" ! " !" !" !
" ! " ! " !
" !" !
" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !" !
" ! " !" ! " ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !" ! " !" !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !" ! " !
" ! " !" ! " !" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" !
" !
" ! " !" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !" !" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
"
" !
" ! "
" !
" ! " !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " !" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !" !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !" !
" !
" ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
"
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " ! " !" ! " ! " !
" !
" !" !" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
"
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" !
"
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" ! " ! " ! " !
" !
" ! " ! " !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !" !" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" ! " !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !" ! " ! " ! " ! " !
" ! " !
" !" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !" !
" ! " !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" ! " !" ! " ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" !" ! " !
" !
" !" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !" ! " ! " !
" ! " ! " ! " !" ! " !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " !
" ! " !" ! " ! " ! " !
" !
" !" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" !
" ! " !
" !" !
" !
" ! " ! " !" !
" !
" !
" !" ! " ! " !
" !" ! " !
" !
" ! " ! " ! " ! " !" !
" !
" !
" !
" !
" ! " ! " ! " ! " !" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !" !" ! " ! " ! " !
" ! " !" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
"
" !
" !
" !
" ! " !
"
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !" !
" ! " ! " !
" !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !" !" ! " ! " ! " !" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !" ! " !" ! " ! " !" ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " ! " !" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !" ! " ! " !" ! " !" !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !" ! " ! " ! " ! " ! " ! " !" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " ! " ! " !" !
" ! " ! " !
" !" !
" !" ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !" ! " !
" ! " !
" !" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" ! " !
" !" ! " !" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !" ! " !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !" !
" ! " !" !
" ! " !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !" !" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !" ! " !
" ! " !" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" !" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !" ! " !
" !
" !
" ! " !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " ! " !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !" ! " ! " ! " !" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " !
" !" ! " !
" ! " !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " ! " !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " ! " ! " !
" !" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" !" ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" " !
" !" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" ! " !" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !
" ! " ! " !" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !" ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Cluster of restaurants
Cell with 85 to 343 restaurants
Cell with 22 to 84 restaurants
Cell with 6 to 21 restaurants
Cell with 2 to 5 restaurants
Cell with one restaurant
Cell with no restaurants
Full-Service Restaurant
" !
Figure 32: Los Angeles restaurants aggregated into the 2km analysis array B with resulting core cluster
delineation; cell counts are classified on a logarithmic scale (restaurants: Esri Business Analyst; freeways
& shoreline: U.S. Dept. of Transportation).
94
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !" ! " ! " !
" ! " ! " ! " ! " ! " !
" !" !
" ! " !
" ! " !" !
" ! " !" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" !" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !" ! " ! " ! " !
" !
" ! " !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !" !
" ! " ! " !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !" !
" ! " !" ! " ! " !
" ! " ! " !
" !" ! " !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !" !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" ! " !
" ! " !
" ! " !" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !" ! " ! " ! " !
" !
" ! " !
" !" ! " !" !" !
" ! " ! " !
" !" !
" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !" !
" ! " !" ! " ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !" ! " !" !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !" ! " !
" ! " !" ! " !" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" !
" !
" ! " !" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !" !" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
"
" !
" ! "
" !
" ! " !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " !" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !" !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !" !
" !
" ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
"
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " ! " !" ! " ! " !
" !
" !" !" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
"
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" !
"
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" ! " ! " ! " !
" !
" ! " ! " !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !" !" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" ! " !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !" ! " ! " ! " ! " !
" ! " !
" !" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !" !
" ! " !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" ! " !" ! " ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" !" ! " !
" !
" !" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !" ! " ! " !
" ! " ! " ! " !" ! " !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " !
" ! " !" ! " ! " ! " !
" !
" !" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" !
" ! " !
" !" !
" !
" ! " ! " !" !
" !
" !
" !" ! " ! " !
" !" ! " !
" !
" ! " ! " ! " ! " !" !
" !
" !
" !
" !
" ! " ! " ! " ! " !" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !" !" ! " ! " ! " !
" ! " !" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
"
" !
" !
" !
" ! " !
"
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !" !
" ! " ! " !
" !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !" !" ! " ! " ! " !" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !" ! " !" ! " ! " !" ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " ! " !" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !" ! " ! " !" ! " !" !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !" ! " ! " ! " ! " ! " ! " !" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " ! " ! " !" !
" ! " ! " !
" !" !
" !" ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !" ! " !
" ! " !
" !" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" ! " !
" !" ! " !" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !" ! " !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !" !
" ! " !" !
" ! " !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !" !" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !" ! " !
" ! " !" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" !" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !" ! " !
" !
" !
" ! " !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " ! " !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !" ! " ! " ! " !" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " !
" !" ! " !
" ! " !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " ! " !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " ! " ! " !
" !" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" !" ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" " !
" !" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" ! " !" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !
" ! " ! " !" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !" ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Cluster of restaurants
Cell with 91 to 733 restaurants
Cell with 46 to 90 restaurants
Cell with 16 to 45 restaurants
Cell with 4 to 15 restaurants
Cell with 1 to 3 restaurants
Cell with no restaurants
Full-Service Restaurant
" !
Figure 33: Los Angeles restaurants aggregated into the 5km analysis array A with resulting core cluster
delineation; cell counts are classified on a logarithmic scale (restaurants: Esri Business Analyst; freeways
& shoreline: U.S. Dept. of Transportation).
95
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !" ! " ! " !
" ! " ! " ! " ! " ! " !
" !" !
" ! " !
" ! " !" !
" ! " !" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" !" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !" ! " ! " ! " !
" !
" ! " !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !" !
" ! " ! " !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !" !
" ! " !" ! " ! " !
" ! " ! " !
" !" ! " !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !" !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" ! " !
" ! " !
" ! " !" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !" ! " ! " ! " !
" !
" ! " !
" !" ! " !" !" !
" ! " ! " !
" !" !
" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !" !
" ! " !" ! " ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !" ! " !" !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !" ! " !
" ! " !" ! " !" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" !
" !
" ! " !" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !" !" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
"
" !
" ! "
" !
" ! " !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " !" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !" !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !" !
" !
" ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
"
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " ! " !" ! " ! " !
" !
" !" !" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
"
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" !
"
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" ! " ! " ! " !
" !
" ! " ! " !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !" !" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" ! " !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !" ! " ! " ! " ! " !
" ! " !
" !" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !" !
" ! " !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" ! " !" ! " ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" !" ! " !
" !
" !" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !" ! " ! " !
" ! " ! " ! " !" ! " !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " !
" ! " !" ! " ! " ! " !
" !
" !" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" !
" ! " !
" !" !
" !
" ! " ! " !" !
" !
" !
" !" ! " ! " !
" !" ! " !
" !
" ! " ! " ! " ! " !" !
" !
" !
" !
" !
" ! " ! " ! " ! " !" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !" !" ! " ! " ! " !
" ! " !" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
"
" !
" !
" !
" ! " !
"
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !" !
" ! " ! " !
" !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !" !" ! " ! " ! " !" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !" ! " !" ! " ! " !" ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " ! " !" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !" ! " ! " !" ! " !" !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !" ! " ! " ! " ! " ! " ! " !" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " ! " ! " !" !
" ! " ! " !
" !" !
" !" ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !" ! " !
" ! " !
" !" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" ! " !
" !" ! " !" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !" ! " !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !" !
" ! " !" !
" ! " !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !" !" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !" ! " !
" ! " !" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" !" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !" ! " !
" !
" !
" ! " !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " ! " !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !" ! " ! " ! " !" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " !
" !" ! " !
" ! " !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " ! " !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " ! " ! " !
" !" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" !" ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" " !
" !" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" ! " !" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !
" ! " ! " !" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !" ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Cluster of restaurants
Cell with 91 to 733 restaurants
Cell with 46 to 90 restaurants
Cell with 16 to 45 restaurants
Cell with 4 to 15 restaurants
Cell with 1 to 3 restaurants
Cell with no restaurants
Full-Service Restaurant
" !
Figure 34: Los Angeles restaurants aggregated into the 5km analysis array B with resulting core cluster
delineation; cell counts are classified on a logarithmic scale (restaurants: Esri Business Analyst; freeways
& shoreline: U.S. Dept. of Transportation).
96
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !" ! " ! " !
" ! " ! " ! " ! " ! " !
" !" !
" ! " !
" ! " !" !
" ! " !" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" !" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !" ! " ! " ! " !
" !
" ! " !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !" !
" ! " ! " !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !" !
" ! " !" ! " ! " !
" ! " ! " !
" !" ! " !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !" !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" ! " !
" ! " !
" ! " !" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !" ! " ! " ! " !
" !
" ! " !
" !" ! " !" !" !
" ! " ! " !
" !" !
" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !" !
" ! " !" ! " ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !" ! " !" !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !" ! " !
" ! " !" ! " !" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" !
" !
" ! " !" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !" !" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
"
" !
" ! "
" !
" ! " !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " !" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !" !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !" !
" !
" ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
"
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " ! " !" ! " ! " !
" !
" !" !" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
"
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" !
"
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" ! " ! " ! " !
" !
" ! " ! " !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !" !" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" ! " !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !" ! " ! " ! " ! " !
" ! " !
" !" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !" !
" ! " !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" ! " !" ! " ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" !" ! " !
" !
" !" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !" ! " ! " !
" ! " ! " ! " !" ! " !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " !
" ! " !" ! " ! " ! " !
" !
" !" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" !
" ! " !
" !" !
" !
" ! " ! " !" !
" !
" !
" !" ! " ! " !
" !" ! " !
" !
" ! " ! " ! " ! " !" !
" !
" !
" !
" !
" ! " ! " ! " ! " !" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !" !" ! " ! " ! " !
" ! " !" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
"
" !
" !
" !
" ! " !
"
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !" !
" ! " ! " !
" !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !" !" ! " ! " ! " !" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !" ! " !" ! " ! " !" ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " ! " !" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !" ! " ! " !" ! " !" !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !" ! " ! " ! " ! " ! " ! " !" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " ! " ! " !" !
" ! " ! " !
" !" !
" !" ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !" ! " !
" ! " !
" !" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" ! " !
" !" ! " !" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !" ! " !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !" !
" ! " !" !
" ! " !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !" !" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !" ! " !
" ! " !" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" !" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !" ! " !
" !
" !
" ! " !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " ! " !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !" ! " ! " ! " !" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " !
" !" ! " !
" ! " !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " ! " !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " ! " ! " !
" !" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" !" ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" " !
" !" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" ! " !" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !
" ! " ! " !" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !" ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Cluster of restaurants
Cell with 556 to 2,703 restaurants
Cell with 115 to 555 restaurants
Cell with 24 to 114 restaurants
Cell with 6 to 23 restaurants
Cell with 2 to 5 restaurants
Cell with zero to one restaurants
Full-Service Restaurant
" !
Figure 35: Los Angeles restaurants aggregated into the 13km analysis array A with resulting core cluster
delineation; cell counts are classified on a logarithmic scale (restaurants: Esri Business Analyst; freeways
& shoreline: U.S. Dept. of Transportation).
97
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !" ! " ! " !
" ! " ! " ! " ! " ! " !
" !" !
" ! " !
" ! " !" !
" ! " !" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" !" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !" ! " ! " ! " !
" !
" ! " !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !" !
" ! " ! " !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !" !
" ! " !" ! " ! " !
" ! " ! " !
" !" ! " !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !" !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" ! " !
" ! " !
" ! " !" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !" ! " ! " ! " !
" !
" ! " !
" !" ! " !" !" !
" ! " ! " !
" !" !
" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !" !
" ! " !" ! " ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !" ! " !" !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !" ! " !
" ! " !" ! " !" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" !
" !
" ! " !" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !" !" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
"
" !
" ! "
" !
" ! " !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !" ! " !" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !" !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !" !
" !
" ! " !
" !
" ! " ! " ! " !" ! " !
" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
"
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !
" ! " !" ! " ! " !" ! " ! " !
" !
" !" !" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !" ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" !
" ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
"
" !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" !
"
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" ! " !
" !
" !
" !" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !" !
" !
" ! " !
" ! " !
" ! " !
" !" !
" ! " ! " ! " !
" !
" ! " ! " !" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !" ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" !
" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !" !" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !
" ! " !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !" ! " !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !" ! " ! " ! " ! " !
" ! " !
" !" ! " !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !" !
" ! " !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" ! " !
" ! " !" ! " ! " !
" !
" ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" !" ! " !
" !
" !" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !" !
" ! " ! " ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !" ! " ! " !
" ! " ! " ! " !" ! " !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !" ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" ! " !" ! " !
" ! " !" ! " ! " ! " !
" !
" !" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !" !
" ! " !
" !" !
" !
" ! " ! " !" !
" !
" !
" !" ! " ! " !
" !" ! " !
" !
" ! " ! " ! " ! " !" !
" !
" !
" !
" !
" ! " ! " ! " ! " !" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !" !" ! " ! " ! " !
" ! " !" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !" ! " !
" !
" !
" !
" !" ! " ! " ! " ! " ! " !" ! " !
" !" !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" ! " !
" !" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
"
" !
" !
" !
" ! " !
"
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !" ! " ! " !
" !
" !
" !
" !
" !" !" ! " !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !" ! " ! " !
" ! " ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" !" !
" ! " ! " !
" !
" ! " !
" !" !" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !" !" ! " ! " ! " !" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !" ! " ! " !" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" !
" ! " !" ! " !
" ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " ! " ! " !
" ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !" ! " !" ! " ! " !" ! " !" ! " ! " ! " ! " ! " ! " ! " !" ! " ! " !" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !
" !" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !" !
" ! " !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !" ! " ! " ! " !
" ! " ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !" ! " ! " ! " ! " !
" !
" !
" !
" ! " !" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !" ! " ! " !" ! " !" !
" ! " ! " !
" ! " !
" !
" ! " !" ! " !" ! " ! " ! " ! " ! " ! " !" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" ! " ! " ! " !" !
" ! " ! " !
" !" !
" !" ! " ! " ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" !
" !" ! " !
" ! " !
" !" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" ! " !
" ! " ! " !
" !
" !
" !" !
" ! " !
" !" ! " !" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !" ! " !
" !
" !
" !" ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " ! " !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !" ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !" !
" !
" !
" !
" ! " ! " !" !
" ! " !
" ! " ! " ! " ! " !
" ! " !
" ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !" !
" ! " !" !
" ! " !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" ! " ! " !" !" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !" ! " !
" ! " !" !
" ! " ! " ! " ! " ! " !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" ! " !
" !" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" !" ! " ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " !" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" !
" !
" ! " !
" ! " !
" ! " ! " !
" ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !" ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" !" ! " !
" !
" !
" ! " !
" ! " !" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " ! " !
" !" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" ! " ! " ! " ! " ! " !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !
" !" !
" ! " !
" !
" ! " ! " !" ! " !
" !
" ! " !" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !" !
" !
" !
" ! " !
" ! " !
" !" ! " !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " !" !
" ! " ! " !
" !
" !" ! " ! " ! " !" !
" !
" !" ! " ! " ! " !
" !
" !
" !
" !" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" ! " !
" ! " ! " ! " ! " ! " ! " ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" ! " ! " ! " !
" !" ! " !
" ! " !" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " !" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !" !
" !
" !
" ! " ! " ! " ! " !
" !
" !" !
" !
" !
" ! " !
" !
" ! " !
" ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " ! " !" ! " ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" ! " ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " ! " ! " ! " !" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !" ! " !
" !
" ! " !
" ! " ! " !
" !
" ! " ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" ! " !
" ! " ! " !
" ! " !" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" ! " !
" ! " !
" !
" !" !
" ! " !
" !
" ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" ! " !
" ! " ! " ! " ! " ! " !
" !" ! " !
" !
" ! " !
" !
" !
" ! " ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" !
" ! " !
" ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !
" !
" ! " !
" !
" !
" !
" ! " ! " !
" !
" ! " ! " !
" !
" ! " ! " ! " !
" ! " !
" !
" !
" !
" ! " ! " ! " ! " ! " ! " ! " !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" ! " ! " ! " !
" !
" !
" ! " ! " ! " ! " !
" !
" !
" !" !
" !
" !
" !
" !
" ! " !
" ! " !
" ! " !
" !
" ! " !
" ! " ! " ! " !
" ! " !
" ! " !
" !
" !
" !" ! " !
" !
" !" !
" !
" ! " !
" !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " !
" !
" !
" " !
" !" ! " !
" !
" ! " !
" !
" ! " !
" ! " !
" !
" ! " ! " ! " !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" !" ! " ! " ! " !
" !
" ! " !" !
" ! " ! " ! " !
" ! " !
" !
" ! " !
" ! " !
" ! " ! " ! " !
" !
" ! " !
" !
" ! " !
" !
" ! " ! " !
" !
" !
" !
" !" ! " !
" ! " !
" !
" !" ! " ! " !
" !
" ! " ! " ! " !
" !
" ! " !
" !" !
" ! " ! " !" ! " !
" !" ! " ! " !
" !
" !
" !
" !
" ! " !" ! " !
" ! " ! " ! " ! " ! " !
" ! " !
" ! " ! " !" ! " ! " !
" !
" ! " ! " ! " ! " ! " !
" !
" !
" !
" ! " ! " !
" !" !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !" ! " !" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" ! " !
" ! " !
" !
" ! " ! " !
" !
" !
" ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
" ! " ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" !
" ! " ! " !
" ! " ! " ! " ! " !" ! " !
" ! " !
" !
" !
" !
" ! " ! " !
" ! " ! " !
" !
" !
" !" ! " ! " !
" !
" !
" ! " !
" !
" !
" !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" ! " !
" ! " !
" !
" !
" !
" ! " !
" !
" ! " !
" !
" !
" !
" !
" ! " ! " !
" ! " ! " !" ! " !
" !
" !
" !
" !
" !" !
" !
" !
" !
" !
" !
" !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Cluster of restaurants
Cell with 556 to 2,703 restaurants
Cell with 115 to 555 restaurants
Cell with 24 to 114 restaurants
Cell with 6 to 23 restaurants
Cell with 2 to 5 restaurants
Cell with zero to one restaurants
Full-Service Restaurant
" !
Figure 36: Los Angeles restaurants aggregated into the 13km analysis array B with resulting core cluster
delineation; cell counts are classified on a logarithmic scale (restaurants: Esri Business Analyst; freeways
& shoreline: U.S. Dept. of Transportation).
4.2.5 Calculate amenity category counts
Once individual amenity points were aggregated into the analysis arrays, amenity
category counts were calculated for each cell by summing the appropriate amenity counts
for each category in each cell. For example, since amenity category B, “High Culture”,
contained three individual amenity types - art dealers, museums, and performing arts
companies - the amenity counts for these three amenity types were summed within each
analysis cell to produce the amenity count for category B for that cell. Figure 37 outlines
the amenity category count calculation process (see also Table 2 above).
98
Analysis
array with
amenity
counts
Sum input
amenity type
counts for
each amenity
category
Analysis
array with
amenity
category
counts
Repeat
process for all
arrays
Figure 37: Amenity category count calculation process.
4.2.6 Identify amenity clusters
The ArcMap tool for performing LISA analysis is called “Cluster & Outlier
Analysis (Anselin Local Morans I)”. The input for this tool is a polygon shapefile, and
parameters include the identification of a particular attribute of that shapefile upon which
to perform the analysis as well as a desired contiguity definition. In this case an analysis
array was the input, and the attribute to analyze was a particular amenity category count.
“Rook” contiguity was selected.
The output of this tool is a new shapefile with the same geometry as the input but
with a new attribute table recording cluster type membership and statistical values (such
as the p-value) for each cell. The cells of this shapefile identified as members of clusters
of high values and attributed with p-values at or below the significance threshold of 1x10
-
9
(see discussion above) were then selected to represent the cores of the amenity clusters.
Figure 38 outlines the cluster identification process. Examples of restaurant cluster core
outlines are shown in figures 31 through 36 above.
99
Analysis
array with
amenity
category
counts
Perform ‘cluster &
outlier analysis’ on
one amenity
category count
Copy of
analysis
array with
LISA
results
Select cells of
high-value
cluster type
with p-value
over threshold
Cluster
core
Repeat
process for all
amenity
categories in
all arrays
Figure 38: Amenity cluster identification process.
4.2.7 Assign cluster values to cells
All analysis cells began with cluster values of zero for all amenity clusters. The
cells representing a particular amenity cluster core were then overlaid on their parent
analysis array for cluster value assignment according to two spatial selection methods:
‘intersect’ and ‘contain’. Figure 39 illustrates the difference between ‘intersect’ and
‘contain’ selections. In the ‘intersect’ selection, the polygons around the outside of the
source shape are selected because they share edges with the source and therefore intersect
it. In the ‘contain’ selection, though, only polygons inside the source are selected.
100
Source polygon
'Contain' selection
'Intersect' selection
Figure 39: The ‘intersect’ and ‘contain’ spatial selection methods.
For cluster value assignment, a value of 1 was assigned to all intersecting analysis
cells. This operation (intersect) included the fringe cells around the core cluster as well as
the core cluster itself. Next, a value of 2 was overwritten onto all analysis cells contained
by the core cluster (in effect, the cells identical to the core cluster).
Thus the cluster core cells received a cluster value of 2 while the cluster fringe
cells received a value of 1. This process was repeated for all amenity categories in all
analysis arrays. Figure 40 outlines the cluster value assignment process while Figure 41
depicts an example cluster with core and fringe cluster value assignments.
101
Cluster
core
Select analysis
cells that intersect
the cluster core,
assign them a
cluster value of 1
Analysis
array
recording
cluster
fringe
Select analysis cells that
are contained by cluster
core, change their
cluster value to 2
Analysis
array with
cluster
values
Cluster values:
2 = in cluster core
1 = in cluster fringe
Analysis
array
Repeat
process for all
amenity
categories in
all arrays
Figure 40: Cluster value assignment process.
0
0
00
0 1
2 1
1
0
0 0
0 0 0
0
0
0 0
0
0
0
1
1 0
0 0
2
1
0
1
0
0
0
0
0
0
0
0
1
2
1
1
1
2
0
1 0
2 0
0
0
0
0 00
0
0
0
0
No cluster participation
Cluster fringe
Cluster core
Figure 41: Cluster value core and fringe assignments.
4.2.8 Merge analysis arrays
Once cluster values were assigned for each amenity category in each analysis
array, all six arrays were merged using ArcMap’s “Union” tool to create the union array.
102
The inputs to the Union tool are multiple polygon shapefiles. The tool overlays the
polygon inputs and intersects all of their boundaries. The output is a polygon shapefile
with a single feature for every uniquely-bounded area from the intersected inputs. Figure
19 (above) shows six different analysis array inputs, and Figure 20 (also above) shows
the resulting union array. Figure 42 outlines the union array creation process.
2km
analysis
array A
with
cluster
values
Perform
union
Union
array
2km
analysis
array B
with
cluster
values
5km
analysis
array A
with
cluster
values
5km
analysis
array B
with
cluster
values
13km
analysis
array A
with
cluster
values
13km
analysis
array B
with
cluster
values
Figure 42: Union array creation process.
All attributes of the input polygons are retained in the new union polygons,
meaning that each cell fragment in the union array retained a cluster value for each
amenity category from each of the six analysis arrays. In other words, each union array
cell fragment knows what the individual attributes were of each of the overlapped input
cells which created that fragment. Thus, creation of the union array resulted in no loss of
information. The attributes and geometry of the union array could, if desired, be used to
reconstruct each of the six input arrays (see Table 3 above).
4.2.9 Calculate cluster scores
The retained cluster values from each analysis array were summed within each
cell of the union array for each amenity category and stored as that cell’s cluster score for
103
that category. Thus, the cluster score records how many clusters of a single amenity
category coincided over each unique fragment of the union array, with the input cluster
centers weighted at twice the value of their cluster fringes. Since there were six input
analysis arrays with cluster values ranging from zero to 2, the cluster score for each
amenity category ranged from zero to 12. Figure 43 outlines the cluster score calculation
process (see also Table 3 above). As an example, Figure 44 depicts the restaurant
category cluster scores for the union array in the central Los Angeles area.
Union
array
Sum cluster
values for
each amenity
category
Union array
with cluster
scores
Figure 43: Cluster score calculation process.
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Van Nuys
Pasadena
Huntington Park
Inglewood
[
0 246 1
Miles
Cluster Score
12
11
10
9
8
7
6
5
4
3
2
1
0
Figure 44: Restaurant cluster scores in central Los Angeles (freeways & shoreline: U.S. Dept. of
Transportation).
104
4.2.10 Calculate centrality scores
As a final step, each of the amenity category cluster scores was summed for each
cell of the union array, resulting in a centrality score. Figure 45 outlines the centrality
score calculation process (see also Table 3 above).
Union array
with cluster
scores
Sum cluster
scores
Union array
with
centrality
score
Figure 45: Centrality score calculation process.
While the cluster score recorded the number of coincident clusters of a single
amenity category, the centrality score records the number of coincident clusters of all
amenity categories. Since each of the five amenity category cluster scores had values
ranging from zero to 12, the centrality score ranged from zero to 60.
A centrality score of 60 for a particular cell therefore indicates that that area
participated in the core of every amenity category cluster under every analysis array. A
centrality score of zero indicates participation in no clusters at all. A centrality score of
30 could indicate participation in cluster fringes under all 30 combinations of analysis
arrays and amenity categories, or it could more likely indicate participation in some core
clusters and some fringe clusters under some analyses, and no cluster participation under
other analyses.
Since spatially-coincident clusters of differing types of amenities are seen as
constituting urban centrality under this study, the centrality score is therefore a direct
indicator of the degree to which each cell participates in the urban center; it is a direct
105
measure of centrality as centrality is defined for this study. Thus, regions of high
centrality scores are, by definition, urban centers.
Aside from simply summing the various cluster scores, a few different formulae
were experimented with involving different weights for the different amenity categories.
None of these weighted formulae yielded spatial results different enough to note, at least
in initial trials. The centrality score was therefore kept as a straightforward sum for the
sake of simplicity and defensibility. Weighting different individual amenities during the
category count process (such as weighting museums more heavily than art dealers when
calculating the High Culture count) was also considered and rejected for its minimal
impact on the final results.
4.2.11 Cartographically visualize centrality scores
Since the goal of the study was a delimitation of urban centers, a cartographic
visualization of the spatial patterns of the centrality score was the final part of the
analysis. Several approaches to visualization were attempted, the most useful of which
seems to be a choropleth classification of cells according to their centrality score as
represented by a percentage of the highest possible score. The class thresholds, selected
to balance simplicity with visual effectiveness, were 10, 25, 50, 75, 90, and 100 percent.
The highest possible centrality score under the union analysis is 60: there are 5
amenity categories, cluster values from zero to 2 for each category, two analysis arrays at
each cell size, and three cell sizes. The 10% to 25% class thus represents centrality scores
greater than or equal to 6 and less than 15, for example. Some of the maps, though, depict
centrality scores calculated for only one analysis cell size (as opposed to the union array),
106
with total possible scores of 20. The scores represented by the percentage classes in these
maps are changed accordingly.
For cartographic purposes, all the cells belonging to a single class were dissolved
together into a single polygon. This operation allowed the spatial extent of each class to
be symbolized as a single polygon with a single external boundary line rather than as a
collection of adjacent cells each with their own individual boundaries. Since the
centrality scores tend to vary in incremental steps across neighboring space, rather than
exhibiting sharp changes in value, this visualization technique produced results that look
similar to contours.
Figure 46 depicts the cartographic visualization process. The resulting maps are
presented in the discussion section below.
Union array
with
centrality
score
Classify cells
according to
centrality
score
Classed
cells
Dissolve cells of
each class into a
single polygon for
each class
Polygons
representing
cell classes
Symbolize
polygons
Map
depicting
centrality
score
Figure 46: Cartographic visualization process.
107
CHAPTER 5: DISCUSSION
5.1 Results
The cartographically visualized analysis results are presented in figures 47
through 53. A pair of maps is provided for each city, one map showing the entire analysis
area and another map showing detail in the central area. The pair of map scales is the
same for each city to facilitate comparison. Chicago is depicted in figures 47 and 48;
New York is depicted in figures 49 and 50; Los Angeles is depicted in figures 51 and 52.
An additional map, Figure 53, is presented for Los Angeles, showing a wider central area
at a detailed scale.
The overall impression revealed by the centrality scores is one of strong centers in
all three cities. In each city only one relatively compact area achieves the highest score,
and scores in other areas generally decay with distance from this primary center. Patterns
in the score do hint at the existence of peripheral centers, though, especially in Los
Angeles.
108
0 20406080 10
Miles
[
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Figure 47: Chicago centrality score under the union analysis array across the entire analysis extent (urban
area: U.S. Census; shoreline: U.S. Dept. of Transportation).
109
The Loop
Near North Side
Lincoln Park
Uptown
05 10 2.5
Miles
[
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Expected center
Figure 48: Chicago centrality score under the union analysis array in the central area (freeways and
shoreline: U.S. Dept. of Transportation; urban area: U.S. Census).
110
0 20406080 10
Miles
[
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Figure 49: New York centrality score under the union analysis array across the entire analysis extent (urban
area: U.S. Census; shoreline: U.S. Dept. of Transportation).
111
Lower Manhattan
Midtown
Upper
Manhattan
Queens
Brooklyn
05 10 2.5
Miles
[
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Expected center
Figure 50: New York centrality score under the union analysis array in the central area (freeways and
shoreline: U.S. Dept. of Transportation; urban area: U.S. Census).
112
[
0 20406080 10
Miles
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Figure 51: Los Angeles centrality score under the union analysis array across the entire analysis extent
(urban area: U.S. Census; shoreline: U.S. Dept. of Transportation).
113
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
Hypothetical
center
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Woodland Hills
Van Nuys
Pasadena
Hermosa Beach
Gardena
Disneyland
Fullerton
Huntington Park
Inglewood
Del Amo Fashion Center
Torrance
Alhambra
West Covina
Rowland Heights
Northridge
Crenshaw
East Los Angeles
Monterey Park
[
05 10 2.5
Miles
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Expected center
Figure 52: Los Angeles centrality score under the union analysis array in the central area (freeways and
shoreline: U.S. Dept. of Transportation; urban area: U.S. Census).
114
Figure 53: Los Angeles centrality score under the union analysis array in the main region of high scores
(freeways and shoreline: U.S. Dept. of Transportation; urban area: U.S. Census).
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Woodland Hills
Van Nuys
Pasadena
Hermosa Beach
Gardena
Long Beach
Costa Mesa
John Wayne Airport
Disneyland
Fullerton
Huntington Park
Inglewood
Del Amo Fashion Center
Torrance
Santa Ana
Laguna Hills Mall
Little Saigon
San Juan Capistrano
Alhambra
West Covina
Rowland Heights
Upland Claremont
Chino Hills
Ontario Mills Mall
Arlington
Northridge
Crenshaw
East Los Angeles
Monterey Park
[
0 5 10 15 2.5
Miles
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
115
5.2 Questions of precision
5.2.1 MAUP artifacts persist
Upon closer inspection, the centrality score classes reveal a lack of precision at
narrower scales. For example, the 100% class for Los Angeles appears to exhibit an error
in the area between Santa Monica and Venice (Figure 52 above). First-hand knowledge
of the area, or an examination of restaurant locations (Figure 29 above), suggests that the
100% centrality class should extend more or less directly from Beverly Hills to Santa
Monica before turning south to Venice. Instead, it deviates away from Santa Monica,
traversing a less amenity-rich area (Mar Vista) on its way to Venice.
An examination of the input clusters suggests a reason for this discrepancy. It
appears from Figure 36 (above) that one of the 13km analysis arrays placed downtown
Santa Monica in the edge of a cell cut off from the other central areas (see MAUP
discussion above). Since this cell contained mostly ocean (to the southwest) and
mountains (to the northwest) it scored considerably lower than its neighbors to the east.
Additionally, its neighbors in other directions also covered mostly sea or mountains.
Consequently, this cell was not included in the core of the restaurant amenity category
cluster, even though downtown Santa Monica did participate in the core restaurant cluster
under the other 13km analysis array (Figure 35 above). Even though this is only one of
six sets of cells, being left out under this one array was enough to keep Santa Monica out
of the final 100% class. The deviation of the class boundary here matches the boundary
of the cell in question.
116
Some MAUP artifacts, then, persist in the union array. This persistence should not
invalidate the endeavor, though, because MAUP artifacts do seem to have been reduced
by the union array. Continuing with the example of downtown Santa Monica, the MAUP
artifact in the overall centrality score there is only discernible in the 100% score class,
which is a highly restrictive threshold to reach. Because the smaller cell sizes all placed
downtown Santa Monica in their restaurant cluster cores (figures 31 through 34 above),
the place still scores very highly in the union array. If the analysis had been conducted
using only the 13km array B alone (Figure 36 above), this particular MAUP artifact
would have been much more significant to the final result. The combination of different
arrays, then, was useful in reducing the effects of MAUP even though those effects were
not completely eliminated.
5.2.2 Smaller cells yield greater detail
The 2km cell array alone appears to be better at delineating the bounds of the
central area in greater detail, since it is not influenced by artifacts of the larger cell sizes.
Since the 2km clusters work only on the detailed local level, they are better at delineating
the true extent of the cluster at that scale. Under the 2km analysis alone, Santa Monica is
included in the 100% class, and the rest of the class seems to have a slightly more
realistic delineation as well (Figure 54). Peripheral centers are delineated with greater
detail and definition as well under this analysis scale.
However, the increased detail under the 2km array comes at a cost. Figure 54
shows new 100% peaks in Burbank and Glendale, as well as higher centrality scores in
other peripheral areas such as Woodland Hills and Hermosa Beach, compared to the
117
union analysis in Figure 53. The 2km analysis, then, yields better definition in peripheral
centers at the expense of clarity about their relative importance to the overall region.
118
Figure 54: Los Angeles centrality score under the 2km analysis cells in the main region of high scores
(freeways and shoreline: U.S. Dept. of Transportation; urban area: U.S. Census).
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Woodland Hills
Van Nuys
Pasadena
Hermosa Beach
Gardena
Long Beach
Costa Mesa
John Wayne Airport
Disneyland
Fullerton
Huntington Park
Inglewood
Del Amo Fashion Center
Torrance
Santa Ana
Laguna Hills Mall
Little Saigon
San Juan Capistrano
Alhambra
West Covina
Rowland Heights
Upland Claremont
Chino Hills
Ontario Mills Mall
Arlington
Northridge
Crenshaw
East Los Angeles
Monterey Park
[
0 5 10 15 2.5
Miles
Analysis Area
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
119
5.2.3 Larger cells indicate regional significance
The discrepancy in the specific delineations under different analysis scales
indicates a lack of precision in the union analysis array, but it does not invalidate the
overall results. To the contrary, the union array excels at identifying the strong regional
center. The large cell arrays operate at a wide scale, identifying the broad regional center,
while the smaller cells identify local centers in more detail. Thus, all scales are useful
because the larger cell clusters indicate which smaller cell clusters are central to the
region rather than only to their immediate environment. Under the union array, the
multiple input scales make the delineated central area robust and strong: the centrality
score decays quickly with distance from the center.
The union array was meant to mitigate against the MAUP artifacts arising from
different aggregation schemes, but it still shows some signs of MAUP distortion. This
indicates that while the union array is good at portraying the overall picture, its specific
boundary lines cannot be taken as being very precise: certainly no more precise than the
width of the smallest input cell, 2 km. To achieve both the advantages of strong definition
and clarity on regional importance, the outputs of each analysis scale could perhaps be
considered separately, while understanding that the central areas identified by the more
detailed analyses which fall within the central areas identified by the broader analyses are
more regionally significant.
To this end, Figure 55 presents the 100% centrality score areas separately
resulting from each of the three analysis scales for Los Angeles. While Glendale and
Burbank reach a 100% score under the 2km analysis, this visualization reveals that they
120
are slightly less significant to the overall region than the primary center (from Santa
Monica to Downtown) because they do not score 100% under all analysis scales.
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
Santa Monica
Beverly Hills
Hollywood
Downtown
Venice
Culver City
Glendale
Burbank
North Hollywood
Woodland Hills
V an Nuys
Pasadena
Hermosa Beach
Gardena
Disneyland
Fullerton
Huntington Park
Inglewood
Del Amo Fashion Center
Torrance
Alhambra
West Covina
Rowland Heights
Northridge
[
05 10 2.5
Miles
100% centrality score under 2km analysis cells
100% centrality score under 5km analysis cells
100% centrality score under 13km analysis cells
Urban Area
Figure 55: Los Angeles 100% centrality score areas under each of the three analysis cell scales (freeways
and shoreline: U.S. Dept. of Transportation; urban area: U.S. Census).
5.3 A more detailed analysis of the central areas
Since the 2km array yields better detail in the central area, it is reasonable to
expect that an even smaller cell size might find an even more detailed border for
delimiting the true urban center. Thus, a more detailed analysis was run using 0.8km cell
widths, a width selected to continue the 2/5 proportional steps in cell sizes. This new
analysis was not intended to add to or replace the union array, but to delimit in greater
detail the central area already identified by the union array. As such, the extents of this
analysis were limited to a 5km buffer around the union array’s 90% centrality score class
121
in each city. This limitation on the analysis extent precludes the direct combination of
these results with those of the union analysis. Since most of the space in this narrow
territory exhibits high amenity counts, cells must exhibit especially high counts in order
to be delimited as clusters by this detailed LISA analysis.
As with the original cell sizes, this 0.8km analysis again used two arrays of the
same cell size offset by half a cell width, and combined both to produce a centrality
score. This analysis yields a fine level of detail in its delimitations, but it should not be
interpreted as possessing any more precision than the size of its input cells: 0.8km
(roughly one half mile). Thus, some places that are very near to a centrality score class
but not contained by it might in reality actually attain that level of centrality, and some
places within the classes might not actually attain levels of centrality in line with their
immediate surroundings.
The centrality scores resulting from this 0.8km analysis are presented in Figure 56
for Chicago, Figure 57 for New York, and Figure 58 for Los Angeles. These figures share
the same scale to facilitate comparison.
122
The Loop
Near North Side
Lincoln Park
Uptown
05 2.5
Miles
[
Expected center
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Analysis Area
Urban Area
Figure 56: Chicago centrality score under the 0.8km analysis cells (freeways and shoreline: U.S. Dept. of
Transportation; urban area: U.S. Census).
123
Lower Manhattan
Midtown
Upper
Manhattan
Queens
Brooklyn
05 2.5
Miles
[
Expected center
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Analysis Area
Urban Area
Figure 57: New York centrality score under the 0.8km analysis cells (freeways and shoreline: U.S. Dept. of
Transportation; urban area: U.S. Census).
124
Hypothetical
center
Downtown
Hollywood
Santa Monica
Burbank
Glendale
North Hollywood
Inglewood
05 2.5
Miles
[
Expected center
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Analysis Area
Urban Area
Figure 58: Los Angeles centrality score under the 0.8km analysis cells (freeways and shoreline: U.S. Dept.
of Transportation; urban area: U.S. Census).
5.4 Implications for delimiting city centers
5.4.1 Control validation
The union analysis performed well in the control cities, identifying centers in
Chicago and in New York that spatially coincided, roughly, with expectations (figures 48
& 50 above). In both cities, the identified centers have a thick area of 100% centrality
score matching the expectation graphics plus a thin tail extending to the north about as far
again as the height of the expected centers themselves.
In Chicago this center includes not only the expected Loop and Near North Side,
but it also extends further north into Lincoln Park and Uptown. The New York center
125
includes not just Lower and Midtown Manhattan, as anticipated, but nearly all of
Manhattan Island plus adjacent slivers of Queens and Brooklyn.
The thickness of the central area at the expected centers indicates a good
correlation with expectations; since the central area is thickest there, that seems to be the
primary center. The tails indicate that there might be an interesting phenomenon worth
exploring here, perhaps one corresponding with Greene’s High Amenity Zone (HAZ).
But this deviation from the expectations is not especially significant since the
expectations were only roughly defined and the difference in question is small when
compared to the entire analysis area.
In both cities the center is clear and unambiguous, and the radial pattern of
gradual decay in centrality scores across distance outward from the center is pronounced.
This radial pattern reinforces the dominance of the central areas. If the delimited centers
do not precisely match the expected centers in detail, it is at least clear from the overall
radial pattern that the city centers are located roughly as expected.
The 0.8km analysis matches expectations even more closely than the union
analysis does (figures 56 & 57 above). This analysis refines the delimited centers of
Chicago and New York down to coincide almost exactly with the expectations for those
cities.
The delimited Chicago center consists of a single 100% centrality score area
which straddles the two expectation circles (over The Loop and the Near North Side). A
subsidiary centrality score peak is evident in Lincoln Park, which reaches the 50%
centrality score class. The delimited New York center consists of two 100% centrality
126
score peaks which fall in the centers of each of the two expectation circles (over Lower
Manhattan and Midtown), with little bleeding beyond them.
The centrality score classes in the union analysis hint at a small number of
subcenters outside the main central areas, but the expected centers remain dominant in
both the union analysis and, especially, the 08.km analysis. Since this study clearly
identified strong and well-defined urban centers in the expected locations in Chicago and
New York, there can be a high degree of confidence that the methodology is sound.
5.4.2 Interpretation
The centrality score for an individual cell indicates how many of the individual
amenity category clusters coincide in that space. The score therefore places each cell on a
scale between more central and less central. Rather than a binary, modernist, in-or-out
definition of the central region, then, this method’s results are more vague and
ambiguous. The method gives an indication of the location of the central region, rather
than a definitive or absolute ‘truth’.
This method yields useful results. The delimited central areas are clear and
unambiguous, while also being more nuanced than many employment-based analyses.
The union approach reveals clear regional centrality while the more detailed cell arrays
on their own produce more detailed boundaries of the primary and peripheral centers.
The small cell fragments of the union array create a false sense of precision,
though, which must be kept in mind while interpreting its results. The example of
restaurants in Santa Monica (as discussed above) shows that the larger cell arrays can
create deviations from reality in the spatial extents of the centrality score classes. More
127
thorough examinations of the results have revealed many more questionable class
delimitations at close scales in other areas too. For example, in many cases a centrality
score class peak will delimit a space between two real amenity centers in close proximity
(such as less than one mile) without actually overlapping either of them. These
discrepancies result from the overlapping hexagonal inputs which are too coarse to be
interpreted under such close examinations.
But while the union array may not be especially precise, it does appear to be
accurate. Its delimited centers fall in the expected locations in all three analyzed cities.
Furthermore, the peripheral centers it identifies in the Los Angeles region fit with
assumptions based on local familiarity as well as corresponding well with the Edge Cities
and employment centers identified by other analyses, including Redfearn’s (Figure 2
above), Giuliano & Small’s (Figure 8 above), and Garreau’s (Figure 12 above).
While lacking clarity on overall regional importance, the 0.8km analysis yields a
remarkably precise delineation of the urban center, as discussed regarding the control
cities above. Under the Los Angeles 0.8km analysis, the delimited boundaries and the
internal variation fit well with expectations based on local familiarity. Also, the delimited
boundaries of the main central area under this analysis seem to correlate well with the
centers identified in the same general location by several other studies, including
Redfearn’s (Figure 2 above), Greene’s (Figure 5 above), Giuliano & Small’s (Figure 8
above), Giuliano & Redfearn’s (Figure 9 above), Gordon & Richardson’s (Figure 11
above), and Garreau’s (Figure 12above).
128
If employment truly is increasingly becoming an unreliable indicator of urban
centrality, perhaps this amenity-based method can continue to provide good spatial
definition for postmodern urban centers. It is at least a useful additional point of view.
5.5 Implications for Los Angeles
5.5.1 Primary center
As with Chicago and New York, the union analysis clearly reveals a strong center
in Los Angeles. Like the controls, the Los Angeles center lies roughly as hypothesized,
from Santa Monica to Downtown along the base of the mountains through Beverly Hills
and Hollywood (Figure 51 above).
The region attaining a100% centrality score in Los Angeles under the union
analysis is 94 km² in area, significantly larger than either Chicago’s or New York’s
central areas: 25 km² and 51 km² respectively. The Los Angeles metropolitan area is
about twice as populous as that of Chicago but its central area is nearly four times as
large in area. New York’s metropolitan population is significantly larger than Los
Angeles’s despite its smaller central area. The greater area of Los Angeles’s center
indicates less concentration of amenities in Los Angeles.
5.5.2 Peripheral centers
Los Angeles exhibits considerably more variation in its centrality scores outside
the primary central area when compared to the controls (figures 51 & 53 above). For one
thing, the 90% centrality score class shows greater independence from the 100% class in
Los Angeles, suggesting that the primary center may be weaker, less organized, or at
129
least more dispersed. The 90% class extends notably beyond the 100% class northeast
into Glendale, north through the Cahuenga Pass into Studio City, North Hollywood, and
Burbank, and south along the 405 through Culver City and the Fox Hills Mall towards
Inglewood.
Los Angeles also exhibits peaks in its 75% class that are far from the primary
center, another difference from the controls. These peaks occur in five areas: in Pasadena
and Alhambra; around Gardena, Hermosa Beach, and Torrance; in downtown Long
Beach; in the Fullerton – Disneyland – Santa Ana corridor; and in the region around John
Wayne Airport and Costa Mesa.
This spatial dispersion of high centrality scores indicates polycentrism in the Los
Angeles area. While some peaks in the centrality score are well-defined and occur at
traditional city centers (such as Pasadena or Long Beach), most regions of high scores
show more dispersed patterns. These regions are primarily centered around shopping
malls (multiple malls in each case) and freeway corridors, although they also include
some more traditional city centers as well. Their uneven spatial patterns may indicate a
lower degree of spatial organization, or they may indicate organization at an automobile-
oriented scale.
In either case, Los Angeles appears to exhibit greater polycentrism in its urban
structure than either Chicago or New York. The San Fernando Valley (Woodland Hills to
Burbank), San Gabriel Valley (Pasadena to West Covina), and South Bay (Inglewood to
Torrance) regions appear to play a part in extending the region’s main center over a wider
130
area, while Orange County (Fullerton to Costa Mesa) seems to exhibit a sense of its own
centrality.
In fact, one possible reading of figures 53 and, especially, 54 (both above),
suggests that Orange County may be in the process of organizing a central corridor of its
own with a similar size and arc-like shape (but with a different orientation) to that of the
primary central Wilshire/Santa Monica Corridor. This proto-corridor runs from Fullerton
and the Disneyland area through Santa Ana and the John Wayne Airport area to Costa
Mesa and Newport Beach. It appears to be structurally supported in its northern half
(from Disneyland to Santa Ana) by the route of the Santa Ana Freeway (Interstate 5) and
in its southern half (from Santa Ana to Costa Mesa) by the Costa Mesa Freeway
(California State Route 55). In addition to traditional downtowns in Fullerton, Anaheim,
Santa Ana, and Costa Mesa, this corridor’s peak centrality score classes include two
major mall & office complexes around the Outlets at Orange and the South Coast Plaza
shopping malls.
The reduced concentration of the region’s primary center (the Wilshire/Santa
Monica Corridor), in combination with the increased strength and independence of its
peripheral centers, indicates that Los Angeles’s urban structure is different from that of
Chicago or New York. Its primary center is less coherent and its region exhibits greater
polycentrism.
But polycentrism is not the same as non-centrism, and the primary Los Angeles
center remains both clearly-defined and dominant. A clear center roughly corresponding
to the hypothesized extent of the Wilshire/Santa Monica Corridor is identified under all
131
analysis scales, including under the union analysis. In each case, this center attains much
higher centrality scores than any of the peripheral areas and exhibits a tight and consistent
spatial definition. Therefore, Los Angeles has a center.
5.6 The Wilshire/Santa Monica Corridor
The 0.8km analysis greatly refines the delimited centers of Chicago and New
York down to a compact central area with almost no ambiguity and no peripheral peaks
within the narrowed analysis area (figures 56 & 57 above), but its results are somewhat
more ambiguous for Los Angeles (Figure 58 above). For Los Angeles, there are several
independent regions of contiguous significant (over the 10% threshold for visualization)
centrality scores within the 0.8km analysis area, some of which are quite small.
This spatial ambiguity might seem to indicate a disorganized center in Los
Angeles, but it is important to remember that the LISA analysis at this scale cannot take
the overall regional significance of its clusters into account. The area of Burbank scoring
over 50% under this localized analysis, for example, might not be as regionally
significant as the area of Santa Monica which also scores over 50%, because the LISA
clusters are based on the immediate neighborhood of each cell and on their relative
significance within this narrowed analysis extent.
In this case, the central areas separately identified by each of the three larger-cell
analyses can be helpful in narrowing down the true center. These three centers, the areas
attaining 100% centrality scores under each of the three larger cell sizes, were presented
132
in Figure 55 above. The 0.8km analysis results are overlaid on these three centers in
Figure 59.
Downtown
Hollywood
Santa Monica
Venice
05 10 2.5
Miles
[
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Urban Area
0.8km Analysis Area
100% centrality score under 2km analysis cells
100% centrality score under 5km analysis cells
100% centrality score under 13km analysis cells
Figure 59: Los Angeles centrality score under the 0.8 analysis cells, overlaid on the 100% centrality score
areas from each of the three larger analysis cell scales (freeways and shoreline: U.S. Dept. of
Transportation; urban area: U.S. Census).
Figure 59 reveals that many of the smaller centers identified by the 0.8km
analysis do not overlap all of the 100% centers identified by the other three analyses.
Using this information, the delimited center of Los Angeles can be narrowed down to
include just the areas of contiguous significant (over the 10% threshold for visualization)
centrality scores from the 0.8km analysis which overlap all three of the larger-cell
analysis centers. In other words: the place where the centers of all four analysis scales
overlap. This overlapping center includes the large area stretching from Santa Monica to
Hollywood, the medium-sized area covering Downtown, and the small area at Venice.
133
These central areas together comprise the Wilshire/Santa Monica Corridor – the core
center of Los Angeles – which is depicted in greater detail in Figure 60.
134
Figure 60: The Wilshire/Santa Monica Corridor: Los Angeles centrality score under the 0.8km analysis
cells in the area attaining 100% centrality scores under all three larger-scale analyses (freeways and
shoreline: U.S. Dept. of Transportation; streets traced from Esri basemaps; urban area: U.S. Census).
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Vine St
Brand Blvd
Main St
26th St
Beverly Dr
Westwood Blvd
Sunset Blvd
Alvarado St
Robertson Blvd
Highland Ave
San Pedro St
Barrington Ave
Hollywood Blvd
Fairfax Ave
Melrose Ave
San Fernando Rd
Santa Monica Blvd
Wilshire Blvd
Santa Monica Blvd
Lincoln Blvd
Wilshire Blvd
3rd St
La Cienega Blvd
Broadway
Western Ave
La Brea Ave
Vermont Ave
Olympic Blvd
Pico Blvd
Sepulveda Blvd
Santa Monica
Beverly Hills
West Hollywood
Hollywood
Century City
Westwood
Brentwood
Fairfax District
Koreatown
Westlake
Downtown
Hancock Park
Los Feliz
Silver Lake
Echo Park
Venice
Marina del Rey
Culver City
West Los Angeles
Miracle Mile
Fox Hills
USC
Chinatown
Glendale Studio City
Pico-Robertson
Mid-City
UCLA
LAX
Huntington Park
Inglewood
Pico-Union
Mar Vista
Bergamot Station
Griffith Park
Leimert Park
Crenshaw
Hollywood Hills
Hollywood Hills West
Bel-Air
Pacific Palisades
Glassell Park
Cheviot Hills
[
01 2 3 0.5
Miles
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Urban Area
135
It would not be appropriate to trim the 0.8km analysis results according to the
shapes of the three wider analysis centers, since these other centers have been shown to
contain MAUP artifacts. The union analysis has effectively performed this operation
already while this 0.8km analysis, on the other hand, provides greater precision at this
detailed scale. Its extents should therefore not be modified according to the analyses
which operate at wider scales.
Since even the lowest-scoring portions of the Wilshire/Santa Monica Corridor as
depicted in the 0.8km analysis attain the highest scores under the three wider analyses,
Figure 60 should be understood as depicting internal variation within the Wilshire/Santa
Monica Corridor rather than as indicating a lack of importance in its lower-scoring
classes. Put another way, the 10% centrality score class of the 0.8km analysis (in Figure
60) delimits the external bounds of the Wilshire/Santa Monica Corridor while the higher
centrality score classes depict its internal structure.
As mentioned above, areas near to a class but not contained by it might in reality
be as central as areas within that class because of the limits on precision inherent in the
analysis cell sizes. Conversely, the central region as depicted here should be assumed to
contain areas within it that are not especially central but which are too small to be
excluded by this level of detail. In short, the central place is ambiguously bounded,
internally inconsistent, and spatially discontinuous – in keeping with the theories of
Allan, Massey, and Cochrane. The delimited area is nevertheless useful information, as
these spatial ambiguities are expected attributes of the postmodern urban center.
136
Since cartographic visualization is the only output from this analysis, the maps
presented thus far, including Figure 60, depict centrality score class polygons made
directly from the analysis cells without further modification; the maps are truthful
representations of the actual data resulting from the analysis. However, given the spatial
imprecision involved, these maps are not entirely truthful in a cartographic sense; their
sharp edges and small cell sizes convey a false sense of precision, especially when
presented at the detailed scale of Figure 60.
The map of centrality score classes within the Wilshire/Santa Monica Corridor
(Figure 60) is therefore reproduced in Figure 61 with its class polygons buffered
outwards by 0.4km, half the width of an input analysis cell. This buffering allows the
classes to bleed onto the surrounding area and softens their edges, producing a more
cartographically honest depiction of the analysis results: a depiction that better conveys
the sense of ambiguous boundaries and spatial imprecision. The qualifications mentioned
above regarding places that fall near to a class boundary, though, still apply to its
interpretation. It is interesting to note that the application of this small buffer now makes
the Wilshire/Santa Monica Corridor singularly contiguous.
137
Figure 61: The Wilshire/Santa Monica Corridor (cartographic depiction): centrality score classes from
Figure 60 buffered outwards by 0.4km each (freeways and shoreline: U.S. Dept. of Transportation;
streets traced from Esri basemaps; urban area: U.S. Census).
! !
! !
! !
! !
! ! ! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
! !
Vine St
Brand Blvd
Main St
26th St
Beverly Dr
Westwood Blvd
Sunset Blvd
Alvarado St
Robertson Blvd
Highland Ave
San Pedro St
Barrington Ave
Hollywood Blvd
Fairfax Ave
Melrose Ave
San Fernando Rd
Santa Monica Blvd
Wilshire Blvd
Santa Monica Blvd
Lincoln Blvd
Wilshire Blvd
3rd St
La Cienega Blvd
Broadway
Western Ave
La Brea Ave
Vermont Ave
Olympic Blvd
Pico Blvd
Sepulveda Blvd
Santa Monica
Beverly Hills
West Hollywood
Hollywood
Century City
Westwood
Brentwood
Fairfax District
Koreatown
Westlake
Downtown
Hancock Park
Los Feliz
Silver Lake
Echo Park
Venice
Marina del Rey
Culver City
West Los Angeles
Miracle Mile
Fox Hills
USC
Chinatown
Glendale Studio City
Pico-Robertson
Mid-City
UCLA
LAX
Huntington Park
Inglewood
Pico-Union
Mar Vista
Bergamot Station
Griffith Park
Leimert Park
Crenshaw
Hollywood Hills
Hollywood Hills West
Bel-Air
Pacific Palisades
Glassell Park
Cheviot Hills
[
01 2 3 0.5
Miles
Urban Area
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
(The extents of these classes are
buffered outwards by 0.4km)
138
Since we set out to find an ambiguously bounded, internally inconsistent, and
spatially discontinuous region, and since the Wilshire/Santa Monica Corridor is
contiguous within a tolerance of one cell width, I assert that the Wilshire/Santa Monica
Corridor functions as a single spatial unit.
5.6.1 General extents and characteristics
As depicted in Figure 61 (above), the Wilshire/Santa Monica Corridor extends in
a narrow band from Santa Monica to Downtown Los Angeles. Along the way, it passes
through Westwood, Beverly Hills, Hollywood, and Koreatown. Venice and the Marina
del Rey, south of Santa Monica, are also part of the Wilshire/Santa Monica Corridor,
since they also partially overlap the 100% centrality score areas under all three wider-
scale analyses (shown in Figure 55 above). Glendale, as a side note, is quite central as
well since it overlaps 100% areas in two of the three wider analyses (2km and 13km) and
attains a 50% centrality score under the 0.8km analysis (Figure 59 above). Because it
fails to reach a 100% score under the 5km analysis, though, Glendale is not considered to
be a part of the Wilshire/Santa Monica Corridor under this interpretation.
As defined by the extents of the centrality score classes of 10% or higher under
the 0.8km analysis which overlap the 100% centrality score areas of the larger-cell
analyses (all of the classes shown in Figure 60 above), the Wilshire/Santa Monica
Corridor had a population of 797,000 at the time of the 2010 census (calculated by
selecting Census Blocks with centroids within the delimited areas). When more broadly
defined as the 90% or higher centrality score area of the main union analysis, the
Wilshire/Santa Monica Corridor’s 2010 population was 1,394,000. The population of the
139
entire metropolitan area at that time was 17,877,000 (Los Angeles, Orange, San
Bernardino, Riverside, and Ventura counties), meaning that the Wilshire/Santa Monica
Corridor holds between 4% and 8% of the Los Angeles metropolitan population. For
comparison, Manhattan Island (New York County: 1,586,000 people) held 7% of New
York’s metropolitan population (22,086,000 people) at that same census.
While the Wilshire/Santa Monica Corridor is significantly larger in area than
Manhattan Island, New York's generally-acknowledged center, the difference is not so
large as to make a comparison unwarranted. Thus, in order to convey a sense of the scale
of the Wilshire/Santa Monica Corridor, it is depicted alongside Manhattan Island in
Figure 62.
[
[
05 2.5
Miles
New York overlay:
UTM zone 18N, Rotated 120°
Same scale as basemap
Manhattan Island
Urban Area
Los Angeles basemap:
UTM zone 11N
The Wilshire/Santa Monica
classes with 0.4km buffers
0.8km centrality score
Corridor:
Figure 62: Comparison of the Wilshire/Santa Monica Corridor (cartographic depiction) with Manhattan
Island (freeways, shoreline, and Manhattan Island: U.S. Dept. of Transportation; urban area: U.S.
Census).
140
In addition to scoring highly in this amenity analysis and correlating well with the
extents of employment centers identified by other analyses, the Wilshire/Santa Monica
Corridor contains or nearly contains most of the metropolitan region’s busiest and most
well-known tourism destinations, including: the Venice Boardwalk, the Santa Monica
Pier, the Getty Center, Rodeo Drive, the Sunset Strip, the Melrose Avenue shopping area,
the Farmers Market (3
rd
& Fairfax), the La Brea Tar Pits, the Chinese Theater, the
Hollywood Walk of Fame, Universal Studios, the Griffith Observatory, the Walt Disney
Concert Hall, and Olvera Street (Figure 63). Only a few major Los Angeles tourist
destinations, notably Disneyland, the Queen Mary, and the region’s many beach cities, lie
outside the Wilshire/Santa Monica Corridor. This concentration of tourism spots within
the corridor implies that visitors to the region perceive, at least indirectly, the same center
that this study reveals.
141
$
$
$
$
$
$
$
$
$$
$
$
$
$
V enice Beach Boardwalk
Santa Monica Pier
Getty Center
Rodeo Drive
Sunset Strip
Melrose Avenue
Farmer's Market
La Brea Tar Pits
Chinese Theater
Walk of Fame
Griffith Observatory
Universal Studios
Disney Hall
Olvera Street
[
05 2.5
Miles
Figure 63: Primary Los Angeles tourism destinations in and around the Wilshire/Santa Monica Corridor
(freeways and shoreline: U.S. Dept. of Transportation; streets traced from Esri basemaps; urban area:
U.S. Census).
Although the locations of clusters of tall buildings are subject to many external
forces including politically-motivated land use constraints and are therefore not generally
a reliable indicator of true centrality, it is worth noting that the string of towers shown in
the photograph of the Wilshire/Santa Monica Corridor in Figure 4 (above) generally
matches the centrality score classes of the corridor as depicted in Figure 61 (also above)
in both building height and clustering tendencies. Thus it is revealed that Parcerisa's
focus on the visual cityscape does roughly correlate with centrality as revealed by this
study, at least in Los Angeles.
In addition to correlating well with population measures, tourism centers, and
visual forms, the corridor of amenity clusters identified by this analysis also correlates
142
well with the results of several previous employment-based analyses, as described above.
The Wilshire/Santa Monica Corridor, then, simultaneously exhibits signs of centrality
under many different ways of seeing. It is a postmodern urban center, one which
dominates the surrounding landscape. The Wilshire/Santa Monica Corridor, therefore, is
functionally equivalent to The Loop in Chicago and to Midtown and Lower Manhattan in
New York.
5.6.2 A hierarchy of neighborhoods
A list of central neighborhoods would be a useful descriptive output of this
analysis, but there exists no useful governmental definition of neighborhoods within the
city of Los Angeles. City council districts, zip codes, and the various city service districts
all exhibit irrational boundaries with unhelpful names. The recent official neighborhood
council system may one day prove useful but its boundaries do not presently correlate
well with popular conceptions of place (the Hollywood Walk of Fame, for example, is
divided among three councils) nor are some of its defined neighborhoods attributed with
useful official place names (“Empowerment Congress Central Area”, for example).
The Los Angeles Times has delimited a set of Los Angeles neighborhoods using a
mix of editorial direction and community input, resulting in a set of neighborhoods which
is both rational and useful (http://projects.latimes.com/mapping-la/neighborhoods/).
These neighborhoods are listed in Table 4 according to their highest intersecting true
(unbuffered) centrality score class under the 0.8km analysis within the Wilshire/Santa
Monica Corridor (Figure 60 above). They are mapped in Figure 64.
143
Only the classes of the Wilshire/Santa Monica Corridor – the area scoring 100%
under the wider-scale analyses – were used for this selection, leaving out the cities of
Glendale and Burbank, and the Los Angeles neighborhood of North Hollywood. Since
neighborhoods can be bumped to higher class levels by the tiniest sliver of an intersecting
class (Hollywood Hills, for example), a problem familiar to all spatial analyses, this list
should be taken as suggestive rather than as authoritative.
Table 4: Hierarchy of central neighborhoods in the Wilshire/Santa Monica Corridor (neighborhood names
and spatial extents: Los Angeles Times).
Highest
intersecting
centrality
score class
Neighborhood Type of place
100% Downtown
Neighborhood of the City of Los Angeles
Hollywood
Neighborhood of the City of Los Angeles
Hollywood Hills
Neighborhood of the City of Los Angeles
Koreatown
Neighborhood of the City of Los Angeles
90% Beverly Grove
Neighborhood of the City of Los Angeles
West Hollywood
Incorporated city
75% Beverly Hills
Incorporated city
Echo Park
Neighborhood of the City of Los Angeles
Hollywood Hills West
Neighborhood of the City of Los Angeles
Westlake
Neighborhood of the City of Los Angeles
50% Century City
Neighborhood of the City of Los Angeles
Chinatown
Neighborhood of the City of Los Angeles
Fairfax
Neighborhood of the City of Los Angeles
Harvard Heights
Neighborhood of the City of Los Angeles
Mid-Wilshire
Neighborhood of the City of Los Angeles
Pico-Union
Neighborhood of the City of Los Angeles
Santa Monica
Incorporated city
Sawtelle
Neighborhood of the City of Los Angeles
Veterans Administration
Unincorporated place
West Los Angeles
Neighborhood of the City of Los Angeles
Westwood
Neighborhood of the City of Los Angeles
Windsor Square
Neighborhood of the City of Los Angeles
(table continues. . .)
144
Table 4, continued.
Highest
intersecting
centrality
score class
Neighborhood Type of place
25% Arlington Heights
Neighborhood of the City of Los Angeles
Boyle Heights
Neighborhood of the City of Los Angeles
Brentwood
Neighborhood of the City of Los Angeles
Carthay
Neighborhood of the City of Los Angeles
Cheviot Hills
Neighborhood of the City of Los Angeles
East Hollywood
Neighborhood of the City of Los Angeles
Hancock Park
Neighborhood of the City of Los Angeles
Larchmont
Neighborhood of the City of Los Angeles
Los Feliz
Neighborhood of the City of Los Angeles
Pico-Robertson
Neighborhood of the City of Los Angeles
Rancho Park
Neighborhood of the City of Los Angeles
10% Beverlywood
Neighborhood of the City of Los Angeles
Central-Alameda
Neighborhood of the City of Los Angeles
Del Rey
Neighborhood of the City of Los Angeles
Elysian Park
Neighborhood of the City of Los Angeles
Historic South-Central
Neighborhood of the City of Los Angeles
Lincoln Heights
Neighborhood of the City of Los Angeles
Mar Vista
Neighborhood of the City of Los Angeles
Marina del Rey
Unincorporated place
Mid-City
Neighborhood of the City of Los Angeles
Playa Vista
Neighborhood of the City of Los Angeles
Playa del Rey
Neighborhood of the City of Los Angeles
Silver Lake
Neighborhood of the City of Los Angeles
Venice
Neighborhood of the City of Los Angeles
145
Downtown
Hollywood
Hollywood
Hills
Koreatown
Beverly
Grove
West
Hollywood
Beverly
Hills
Echo
Park
Hollywood
Hills West
Westlake
Century
City
Chinatown
Fairfax
Harvard
Heights
Mid-Wilshire
Pico-Union
Santa
Monica
Sawtelle
Veterans
Administration
West Los
Angeles
Westwood
Windsor
Square
Arlington
Heights
Boyle
Heights
Brentwood
Carthay
Cheviot
Hills
East
Hollywood
Hancock
Park
Larchmont
Los
Feliz
Pico-Robertson
Rancho
Park
Beverlywood
Central-Alameda
Del
Rey
Elysian
Park
Historic
South-Central
Lincoln
Heights
Mar
Vista
Marina
del Rey
Mid-City
Playa
Vista
Playa
del Rey
Silver
Lake
Venice
[
05 2.5
Miles
Los Angeles Times neighborhood
by highest intersecting 0.8km
centrality score class
Centrality Score = [10%, 25%)
Centrality Score = [25%, 50%)
Centrality Score = [50%, 75%)
Centrality Score = [75%, 90%)
Centrality Score = [90%, 100%)
Centrality Score = 100%
Centrality Score = [0%, 10%)
Figure 64: Hierarchy of central neighborhoods in the Wilshire/Santa Monica Corridor (neighborhood
names & outlines, including shoreline: Los Angeles Times; freeways: U.S. Dept. of Transportation).
Table 4, particularly the ‘type of place’ column, sheds some light on the question
of why the center of Los Angeles has gone largely unrecognized. The Wilshire/Santa
Monica Corridor includes not only multiple neighborhoods but also some unincorporated
areas and some incorporated cities distinct from the City of Los Angeles. Perhaps a
preoccupation with administrative boundaries has clouded awareness of the corridor. It is
certainly unusual (though not unique) for the center of a city to consist of so many
independent administrative districts.
Also, although Downtown, Hollywood, and Koreatown reach the highest scores,
the West Hollywood - Fairfax District region scores nearly as high and is much wider in
area when all score classes are considered. This region encompasses the Sunset Strip
146
nightclub area, the Melrose Avenue fashion district, and the Farmer's Market (Figure 63
above), as well as the stretches of 3rd Street, Beverly Boulevard, and Robertson
Boulevard where the city's most popular restaurants are found (Figure 61 above; Beverly
is parallel to and north of 3rd St but not shown on the map). It also lies immediately
between the Rodeo Drive area and the Hollywood Walk of Fame area. Taken together,
this contiguous region is not only where the Wilshire/Santa Monica Corridor is thickest,
but it also contains most of Los Angeles's most iconic districts. These aspects, along with
its central location along the path of the corridor, mean that the Beverly Hills - West
Hollywood - Fairfax - Hollywood area arguably vies for importance with Downtown.
5.6.3 A hierarchy of nodes
In addition to seeing the Wilshire/Santa Monica Corridor as a collection of
neighborhoods, it can be seen as a collection of structural nodes or poles. The detail
provided by the 0.8km analysis enables some fairly precise assertions to be made about
where the central nodes of Los Angeles can be found. The Wilshire/Santa Monica
Corridor has already scored at 100% centrality under the unified analysis, and there are
four places within the corridor which also attain centrality scores of 100% under this
more detailed analysis. As shown in Figure 60 (the unbuffered centrality score classes;
above), the largest of these 100% zones by far, in terms of the area scoring 100%, is
Downtown Los Angeles: specifically, an area centered along Broadway from 2
nd
St to 8
th
St. The other three 100% places are at Hollywood Blvd & Vine St and Hollywood Blvd
& Highland Ave in Hollywood, and at Wilshire Blvd & Normandie Ave in Koreatown.
147
One place scores in the 90% range: West Hollywood. The center of this place
appears to be the stretch of Santa Monica Blvd between San Vicente Blvd and La
Cienega Blvd, but it is shaped as a tall rectangle which, including its fringe cells, also
reaches north to the Sunset Strip and south to the Beverly Center mall (at La Cienega
Blvd & Beverly Blvd). The next step down the hierarchy is Beverly Hills, which scores
over 75% around Wilshire Blvd & Beverly Dr (the Rodeo Drive area).
Finally, there are four distinct places scoring over 50%. In descending order of the
size of the area achieving this score, they are: downtown Santa Monica (a broad area
extending several blocks in all directions around the Third Street Promenade and the
Santa Monica Pier), Westlake (around MacArthur Park at Wilshire Blvd & Alvarado St),
Westwood (mainly at Wilshire Blvd & Westwood Blvd but also thinly extending south to
include the intersection of Santa Monica Blvd & Sepulveda Blvd as well as Olympic
Blvd & Sawtelle Blvd), and at 3rd St & Fairfax Ave (the location of the Farmer's Market
and The Grove mall).
Given the limited precision of this analysis, the 3
rd
& Fairfax peak could
alternatively be interpreted as elevating the intersection of Wilshire Blvd & Fairfax Ave
(at “Museum Row” in the Miracle Mile, which includes the Los Angeles County
Museum of Art and the La Brea Tar Pits). It should also be noted that, within Koreatown,
the intersections of both Vermont Ave and Western Ave with Wilshire Blvd are probably
more truly significant than the intersection of Wilshire & Normandie (while it is a
through street, Normandie is not a commercial street). But since Normandie lies at the
148
center of Koreatown its intersection with Wilshire is the single point where all of the
various input clusters overlap.
The specific intersections mentioned above, then, are the point locations that are
most central to the region's center; they are the primary central nodes of the
Wilshire/Santa Monica Corridor and therefore of the wider Los Angeles metropolis as
well. These nodes are listed in Table 5 and mapped in Figure 65. The most major
intersection falling within each local centrality score peak class of Figure 60 (the
unbuffered centrality score classes; above) was selected for inclusion in the table. Most of
the centrality score peaks are so small as to include only one major intersection. In the
few cases where the data presented no clear choice, a nearby intersection was arbitrarily
selected based on subjective local familiarity. The map and table should therefore (again)
not be interpreted as being authoritative, but rather as being simply suggestive.
149
Table 5: Hierarchy of central nodes in the Wilshire/Santa Monica Corridor.
Peak centrality
score class
Node (intersection) Place
100% (largest area) Broadway & 7
th
St Downtown
100% (other areas) Hollywood Blvd & Highland Ave Hollywood
Hollywood Blvd & Vine St Hollywood
Wilshire Blvd & Normandie Ave Koreatown
90% Santa Monica Blvd & La Cienega Blvd West Hollywood
La Cienega Blvd & Beverly Blvd Fairfax District
75% Wilshire Blvd & Beverly Dr (or Rodeo Dr) Beverly Hills
50% 3
rd
St Promenade & Broadway Santa Monica
Wilshire Blvd & Alvarado St Westlake
Wilshire Blvd & Westwood Blvd Westwood
Santa Monica Blvd & Sepulveda Blvd West L.A.
Olympic Blvd & Sawtelle Blvd West L.A.
3
rd
St & Fairfax Ave Fairfax District
25% Olympic Blvd & 26
th
St Santa Monica
10% Lincoln Blvd & Marina Exwy Marina del Rey
Pacific Ave & Windward Ave Venice
Sunset Blvd & Vermont Ave East Hollywood
!
!
!
!
!
!
!
!
!
!
!!
!
!!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
Pacific & Windward
(Venice)
Lincoln & Marina Exwy
(Marina del Rey)
Sunset & Vermont
(East Hollywood)
Olympic & 26th
(Santa Monica)
3rd & Fairfax
(Fairfax District)
Wilshire & Alvarado
(Westlake)
Wilshire & Westwood
(Westwood)
3rd & Broadway
(Santa Monica)
Santa Monica & Sepulveda
(West LA) Olympic & Sawtelle
(West LA)
Wilshire & Beverly
(Beverly Hills)
Santa Monica & La Cienega
(West Hollywood)
La Cienega & Beverly
(Fairfax District)
Hollywood & Highland
(Hollywood)
Hollywood & Vine
(Hollywood)
Wilshire & Normandie
(Koreatown)
Broadway & 7th
(Downtown)
[
05 2.5
Miles
Primary node
Subsidiary nodes
Urban Area
Figure 65: Hierarchy of central nodes in the Wilshire/Santa Monica Corridor (freeways and shoreline: U.S.
Dept. of Transportation; streets traced from Esri basemaps; urban area: U.S. Census).
150
It is worth noting that both Glendale (at Brand Blvd & Broadway, near the
Glendale Galleria and Americana at Brand malls) and Burbank (at San Fernando Blvd &
Magnolia Blvd, in Burbank’s downtown) also score above 50% in the 0.8km analysis.
Although these two places are not within the 100% centrality zones of the union analysis
or the 5km analysis, they are within the union array’s 90% zone as well as the 2km
array’s 100% zone (Glendale is also within the 13km array’s 100% zone but Burbank is
not). These discrepancies indicate that the primary nodes in Glendale and Burbank are
not quite as regionally central as those of the Wilshire/Santa Monica Corridor, although
only slightly less so.
5.6.4 Structural backbones
Los Angeles’s boulevards are the essential elements of its urban structure and
identity (Suisman, 1989). Bearing this importance in mind, Wilshire Boulevard is clearly
the backbone of the Wilshire/Santa Monica Corridor since it runs the corridor’s entire
distance from Santa Monica to Downtown while passing through most of the centrality
score peaks along the way (Figure 61 above). However, the corridor widens at West
Hollywood and the Fairfax District, with an additional sub-corridor of high centrality
scores branching off to the north of Wilshire.
Santa Monica Boulevard would seem to be the backbone of this sub-corridor,
since it runs through or adjacent to the highest scoring places and since this northern
centrality score corridor ends where Santa Monica Boulevard ends. Sunset and
Hollywood Boulevards are closer than Santa Monica Blvd to the centrality peaks in the
Hollywood area, but Hollywood Blvd does not extend beyond this area and Sunset Blvd
151
veers away from the Wilshire/Santa Monica Corridor once it is west of West Hollywood.
Santa Monica Blvd, though, reconnects the Hollywood area to the western half of the
Wilshire/Santa Monica Corridor and can therefore be seen as the secondary corridor
backbone.
Since Santa Monica Boulevard merges into Sunset Boulevard at its eastern
terminus to continue into Downtown, the overall shape of the Wilshire/Santa Monica
Corridor could be described as a dual corridor with common east and west endpoints at
Downtown and Santa Monica, which is bifurcated in its midsection through Koreatown,
Hollywood, and the Fairfax District. The depression in centrality scores which creates the
hole in the middle of this bifurcation is caused by the Hancock Park neighborhood, a
wealthy and historic residential area.
While the internal structure of the Wilshire/Santa Monica Corridor is clearly more
complicated than simple corridors along backbone boulevards would suggest, a one mile
buffer around the routes of these two boulevards would very closely match the external
limits of the corridor itself. It therefore seems reasonable to assert that Wilshire and Santa
Monica Boulevards act as the most fundamental structural elements within the corridor
and are therefore the region’s most important major streets. They are consequently
depicted in bold in these maps of the corridor (figures 60 & 61 above).
5.6.5 A single central point?
Since it is often said that Los Angeles has no center, I now offer two alternative
specific center point suggestions: the intersection of Broadway & 7
th
Street in Downtown,
or the intersection of Wilshire & Santa Monica Boulevards in Beverly Hills. The first
152
suggestion is based on the internal centrality score variation within the Wilshire/Santa
Monica Corridor, and the second suggestion is based on the overall backbone structure of
the corridor. If the Wilshire/Santa Monica Corridor, as a single spatial unit, is the center
of Los Angeles, then the central point of the corridor itself, if such a point exists, could be
considered to be the central point of Los Angeles.
Based on centrality score variation within the Wilshire/Santa Monica
Corridor
As to the first suggestion, Broadway and 7
th
: the largest contiguous area of 100%
centrality identified under the most detailed (0.8km) analysis is centered along Broadway
roughly from 2
nd
to 8
th
Streets in Downtown (Figure 60 above). From among the several
cross streets to Broadway in this area, I suggest 7th Street as the ‘most central’
intersection because it is the best fit for symbolically carrying the Wilshire corridor
through to Broadway. Wilshire Boulevard, which is, as described above, the region's
most important structural element, terminates just three blocks west of Broadway. Up to
this point it runs parallel to and in-between 6th and 7th Streets.
If one of these two streets is to carry Wilshire's baton the final three blocks to
Broadway, I would suggest 7th Street for two reasons. First, 6th Street is unavailable for
the task. 6
th
Street is a major through-route in its own right outside of Downtown. To the
west it extends to La Cienega, and to the east it ultimately becomes Whittier Boulevard, a
primary through corridor with cultural and historical significance. Within Downtown, 6
th
forms half of a one-way couplet with 5
th
Street (long-standing traffic controls merge 5
th
back into 6
th
on either side of Downtown). Therefore, 6
th
Street here is too much its own
153
corridor to act as a surrogate for Wilshire. 7
th
Street, on the other hand, is two-way in
downtown (like Wilshire) and is not a major regional through route. Thus 7
th
Street is
available to act as Wilshire’s symbolic and practical extension to Broadway.
Second, while 5
th
and 6
th
Streets are both busy and visually impressive, 7
th
Street
is anecdotally Broadway’s busiest cross street in terms of pedestrian traffic and retail
storefronts, and it leads west from Broadway into the heart of the financial district with
striking visual monumentality (Figure 66). That being said, all three streets (5
th
, 6
th
, and
7
th
) are in close enough proximity (a quarter mile), are sufficiently significant to the
wider region, and possess sufficient visual monumentality at their intersections with
Broadway (Figure 67) to collectively function as the metropolis’s single primary central
point.
Figure 66: Looking west into the financial district on 7
th
Street from just east of Broadway, Los Angeles
(author’s photograph, May 13, 2012).
154
Figure 67: Looking south on Broadway towards 6
th
and 7
th
Streets from 5
th
Street, Los Angeles (author’s
photograph, May 13, 2012).
Since the intersection of Broadway and 7
th
Street is the most important point
within the largest area of 100% centrality scores under the most detailed analysis of the
Wilshire/Santa Monica Corridor, itself the only region scoring at 100% centrality under
the metropolitan-wide analysis, I therefore assert that Broadway and 7
th
is the most
central point in Los Angeles.
Based on the underlying structure of the Wilshire/Santa Monica
Corridor
The second suggestion, Wilshire and Santa Monica, is based on the fundamental
structure of the Wilshire/Santa Monica Corridor as a singular unit, rather than on a
consideration of centrality score variation within the corridor. As described above, it is
155
clear that the primary structural backbones of the Wilshire/Santa Monica Corridor are
provided by Wilshire and Santa Monica Boulevards. Since these streets do intersect, their
intersection could be seen as the most important point in the center of Los Angeles,
structurally.
I speculate that the importance of this point has been overlooked since it falls
outside the city limits of Los Angeles - it is in the city of Beverly Hills. But falling in
Beverly Hills is not necessarily a detriment to its centrality, since Beverly Hills arguably
serves as the metropolitan region's most significant and well-known retail center. The
intersection is also adjacent to Century City, which is one of the region's major
employment centers.
In addition to marking the intersection of the region's two most important streets,
this point also marks a major break in surface-street continuity within the Wilshire/Santa
Monica Corridor. The street grid west of this intersection is generally oriented at an
oblique angle while streets east of here are generally oriented to the compass.
Furthermore, the Century City area, in conjunction with the golf courses to the north and
south of it, creates a major break in east-west street continuity through which this
intersection is one of only a small number of gateways (Figure 68).
156
!
! !
! !
! !
! !
! !
! !
! !
! !
! !
Santa Monica Freeway
San Diego Freeway
Golf
Course
Golf
Course
Sunset Blvd
Melrose Ave
Fairfax Ave
Santa Monica Blvd
3rd St
Barrington Ave
Beverly Dr
Sunset Blvd
Wilshire Blvd
Westwood Blvd
Santa Monica Blvd
Sepulveda Blvd
Wilshire Blvd
Robertson Blvd
La Cienega Blvd
Pico Blvd
Olympic Blvd
Beverly Hills
Westwood
Fairfax District
West Los Angeles
Pico-Robertson
UCLA
Bel-Air
Cheviot Hills
Century City
[
01 0.5
Miles
Intersection of
Wilshire & Santa Monica
Boulevards
Figure 68: A major break in east-west street grid continuity at Century City (streets & freeways: Esri).
The only other gateways through this break and within the Wilshire/Santa Monica
Corridor are along Olympic Blvd and along Pico Blvd; there are no minor streets within
the corridor which breech the break in continuity, and the nearest routes around the break
to the north and south are along Sunset Blvd or on the Santa Monica Freeway (there are a
few convoluted minor residential street routes through the Cheviot Hills between Pico
and the freeway).
Since the Wilshire/Santa Monica Corridor exhibits a narrow east-west shape
which passes directly through this major break in street continuity, and since the break
occurs near the center of that east-west extent, the few gateways through the break are
especially structurally important. Therefore, while also considering Wilshire and Santa
Monica Boulevards’ overall structural importance to the corridor, I assert that the
157
intersection of Wilshire and Santa Monica Boulevards is structurally the most important
point in the Wilshire/Santa Monica Corridor, and by extension the most central structural
point in Los Angeles as a whole.
5.7 Further research
5.7.1 Analysis arrays
Constituents of the union array
The union analysis appears to be sensitive to the number of cell array inputs and
to their cell sizes. Adding the 0.8km analysis to the union array, for example, might have
drastically reduced the areas with the highest centrality scores. It would be useful to
experiment with different cell sizes and with differing numbers of analysis arrays in order
to find the most appropriate mix. It would also be useful to more formally explore the
spatial relationships between the centrality score and facts on the ground in order to better
understand its meaning and to more carefully select centrality score class levels for
visualization.
Amenity corridors
This analysis method seems to capture regions of amenities well but not corridors
of amenities. For example, Ventura Boulevard, which is indicated by the dense corridor
of restaurant points beginning between Hollywood and North Hollywood and extending
to the northwest in Figure 29 above, is an important corridor for the San Fernando
158
Valley. It is arguably the Valley’s center, albeit a linear center rather than a point center.
But Ventura Blvd did not register very well under this analysis.
The 2km analysis array seems detailed enough to have captured the Ventura
corridor (figures 31, 32, & 54 above) but it drops out of some of the larger analysis cell
results (figures 33 & 36, also above) and consequently shows up with limited clarity in
the union analysis (Figure 52, again, above). It also does not register at all under the
0.8km analysis (Figure 59 above), probably because the cells are too small to form
clusters with other amenity-rich areas across the river and freeway to the north. It would
seem, then, that the ability of hexagonal cells to capture a linear cluster depends on the
size and arrangement of the cells.
Another important amenity corridor which failed to register under the 0.8km
analysis is that of Sunset Boulevard through Silver Lake and Echo Park. The gap in
centrality scores here is shown in Figure 61 (above), but the existence of a corridor of
amenities is implied by the trail of restaurants shown in Figure 29 (above). In practice,
this corridor along Sunset Boulevard seems to connect the upper (Santa Monica Blvd)
branch of the Wilshire/Santa Monica Corridor through the hills in those neighborhoods
and into Downtown, thus closing the amenity corridor loop at both ends. If Sunset
Boulevard truly does serve this function, its absence from these results is notable. Since
amenity corridors are important structural elements in any city, it would be useful to
devise a better method of capturing them.
159
5.7.2 Amenity inputs
Amenity categorizations
Informal experiments conducted before and during this analysis indicate that
differing groupings of particular amenity types into amenity categories have little impact
on the final centrality score, even though they can yield interesting spatial variations in
the category-specific cluster scores. It would be useful to explore the spatial patterns of
these category-specific cluster scores in order to gain a more nuanced understanding of
how amenity clusters combine to create centrality.
For example, one place with a 75% centrality score may have achieved that score
mostly through clusters of restaurants and high culture while another place with the same
score may have participated mostly in clusters of hotels and entertainment. Exploring
these spatial variations would increase our understanding of urban centrality and help us
to construct more useful categories of amenities.
Institutions
This analysis did not account for the role of institutions in urban structure, but
institutions arguably serve as vital a role as other amenities in attracting visitors,
propagating local culture, and defining a sense of place. Some examples of institutions
that could be included in future analyses are: churches, hospitals, colleges, and movie
studios. For example, the gap in centrality scores found in the Wilshire/Santa Monica
Corridor north of Koreatown and south of Los Feliz (Figure 61 above) occurs over an
area of East Hollywood containing some large institutions, including Paramount Studios,
Raleigh Studios, Los Angeles City College, and the Braille Institute. These physically-
160
large institutions preclude clusters of other amenities from forming there, which may
account for the gap in centrality scores under this analysis. If institutions were included in
the analysis, the Wilshire/Santa Monica Corridor might be shown to be contiguous
through that area.
Consumerism
While not considered as an urban amenity input under this analysis, the
experience of discretionary shopping trips is arguably a similar activity to that of
enjoying urban amenities, one which may even have more of an impact on the subjects of
the experience. Given this similarity in experience, the importance of retail trade to cities,
and the significance of consumerism and consumption to our culture, it would be useful
to add discretionary shopping to the analysis. Experiments with the broad NAICS
category of 448, “Clothing and Clothing Accessories Stores”, indicate broadly similar
spatial patterns to the amenity categories in this analysis which nevertheless differ in
notable ways. Adding discretionary retail to the mix of amenities would therefore
strengthen this analysis.
For example, there is a small gap in the Wilshire/Santa Monica Corridor on
Melrose Avenue between La Brea and Fairfax Avenues (Figure 60 above). In person, this
stretch of Melrose seems far from non-central; it is one of the most active streets in the
area. Instead, this portion of Melrose is so saturated with clothing stores that there are
virtually no other amenities there.
This lack of other amenities caused this part of Melrose to drop out of all the
clusters in the 0.8km analysis. Since centrality was defined as coincident clusters of
161
differing amenities, it is probably appropriate that this area was not highly represented.
But given its high activity and cultural significance, it probably should not be excluded
altogether from the Wilshire/Santa Monica Corridor. Experiments with NAICS category
448 show that this part of Melrose would have been included in the final center had
category 448 been a part of the analysis. Interestingly, category 448 also strengthens the
centrality of the Fairfax District more broadly, as well as that of Downtown, relative to
other parts of the Wilshire/Santa Monica Corridor. This category was not included in this
analysis because none of the cited amenity-focused authors specifically mentioned
clothing stores, but there is much available research that would support such an inclusion.
Employment and other indicators
Although I suspect that employment may no longer be a reliable indicator of
centrality, it would be interesting to attempt to add employment to this analysis as
another clustering amenity category or to somehow overlay amenity clusters on the
employment centers defined by others, given the wide body of knowledge on using
employment to delimit urban centrality. It would also be interesting to combine these
amenity- and employment-centered approaches with the industry agglomeration, edge
city, and visual methods (such as using topography and building heights) also mentioned
above in order to achieve a broad and inclusive vision of urban centrality as seen from
multiple viewpoints.
5.7.3 Ethnic centers in Los Angeles
One of Los Angeles’s greatest strengths is its vast array of large and vibrant
‘ethnic’ centers such as Koreatown and East Los Angeles. Many of these ethnic centers
162
are important participants in the formation of the Wilshire/Santa Monica Corridor (Figure
61 above), including Koreatown, Westlake (a Central American center), Little Tokyo (in
Downtown), Chinatown, Thai Town (along Hollywood Blvd just west of Los Feliz), and
the Jewish neighborhoods in Fairfax and Pico-Robertson. Since Whites are also a
minority in the Los Angeles metropolitan area (quickfacts.census.gov), much of the rest
of the Wilshire/Santa Monica Corridor, notably Santa Monica, Westwood, Beverly Hills,
and the Fairfax District, could be described as White ethnic centers (for a comprehensive
set of maps and descriptions of Los Angeles’s ethnic neighborhoods, see Allen & Turner,
2002).
Aside from these places in the Wilshire/Santa Monica Corridor, some ethnic
centers in other areas attain high centrality scores under the union analysis as well (Figure
53 above), including Crenshaw and Leimert Park (Black), Glendale (Armenian), Santa
Ana (Mexican), and North Hollywood and Van Nuys (Central American). However,
many more of the region’s ethnic neighborhoods do not score particularly highly under
the union array and do not register well at all under the 2km array (Figure 54 above).
These underrepresented ethnic centers notably include Monterey Park and Alhambra
(Chinese), Little Saigon, and East Los Angeles (Mexican).
As mentioned in the context section above, there are presumably different core
centers for different ethnic groups, but the theoretical framework for this analysis also
presumes there to be a common center which may not be ‘primary’ from everyone’s point
of view but which is at least a small shared part of most metropolitan residents’ common
experience. Bearing this concept of centrality in mind, it stands to reason that some ethnic
163
centers would score less highly overall than others. It is also not especially surprising,
given this nation’s history of racial power dynamics, that the overall regional center
would significantly coincide with a White center.
But it is still troubling that the analysis results do not represent all of the ethnic
neighborhoods as well as might have been expected. It is possible that the methodology
precludes the identification of certain ethnic centers which may be constituted by a
different set of amenities or which may operate on a different kind of centrality
altogether. It would be useful, then, to explore the ways in which different ethnic
neighborhoods are structured in order to develop methods that could better capture the
diversity of centrality in Los Angeles.
5.7.4 Further applications
Peripheral centers in Los Angeles
I have offered only a cursory discussion of the peripheral centers identified by this
study in Los Angeles, but there is much detail and nuance to be found in the centrality
score classes in the peripheral areas under both the union array (Figure 53 above) and the
2km array (Figure 54 above). These details could support a full discussion of the region’s
subcenters, especially if they were to be discussed in conjunction with an accounting of
the region’s many ethnic centers as mentioned above.
Delimiting the centers of other cities
Once this methodology is refined a bit according to the suggestions put forward
above, it would be useful to make a programmatic application of the analysis to all of the
nation’s metropolitan areas. The resulting catalogue of spatially-delimited postmodern
164
urban centers would provide a base for enhancing our present understanding of urban
structure and sense of place, and would offer a useful alternative narrative to that of the
prevailing employment-centered approaches. It would also be useful to adapt this
technique for application in other regions of the world whose cities may function slightly
differently and where the available data is sure to be differently structured, in order that
we might enhance our understanding of urban structure from a more global point of view.
165
REFERENCES
Abadie, Alberto, & Sofia Dermisi (2008). “Is terrorism eroding agglomeration
economies in Central Business Districts? Lessons from the office real estate market in
downtown Chicago”. Journal of Urban Economics, 64, pp.451-463.
Allen, James P. & Eugene Turner (2002). Changing faces, changing places: mapping
Southern Californians. Los Angeles: The Center for Geographical Studies, California
State University, Northridge.
Allen, John, Doreen Massey, & Allan Cochrane (with Julie Charlesworth, Gill Court,
Nick Henry, & Phil Sarre) (1998). Rethinking the Region. London: Routledge.
Anselin, Luc (1995). Local Indicators of Spatial Association - LISA. Geographical
Analysis, 27:2, pp.93-115.
Anselin, Luc, Sanjeev Sridharan, & Susan Gholston (2007). Using exploratory spatial
data analysis to leverage social indicator databases: The discovery of interesting
patterns. Social Indicators Research, 82, pp.287-309.
Anselin, Luc, Ibnu Syabri, & Youngihn Kho (2006). GeoDa: An introduction to spatial
data analysis. Geographical Analysis, 38, pp.5-22.
Aragon, Greg (2007). Making a statement: Westwood’s newest neighbor is The Carlyle
highrise. California Construction Link, July 1.
Bailey, Trevor C., & Anthony C. Gatrell (1995). Interactive spatial data analysis. Essex:
Longman Scientific and Technical.
Barr, Jason, Troy Tassier, & Rossen Trendafilov (2011). “Depth to bedrock and the
formation of the Manhattan skyline, 1890-1915”. Journal of Economic History, v.71
n.4, pp.1060-1077.
Begley, Slaney, Joanne Levêque, & Zoë Ross (Eds.) (2010). DK eyewitness travel:
California. London: Dorling Kindersley.
Carringer, Robert (2001). Hollywood’s Los Angeles: two paradigms. In Charles G.
Salas & Michael S. Roth, (Eds.), Looking for Los Angeles: architecture, film,
photography, and the urban landscape (pp.247-266). Los Angeles: Getty Publications.
166
Cladera, Josep Roca, Carlos R. Marmolejo Duarte, & Montserrat Moix (2009). Urban
structure and polycentrism: Towards a redefinition of the sub-centre concept. Urban
Studies, 46, pp.2841-2868.
Clark, Terry Nichols (with Richard Lloyd, Kenneth K. Wong, & Pushpam Jain) (2004a).
Amenities drive urban growth: A new paradigm and policy linkages. In Terry Nichols
Clark (Ed.), The City as an Entertainment Machine: Research in Urban Policy v.9
(pp.103-140). Oxford: Elsevier.
Clark, Terry Nichols (2004b). Urban Amenities: Lakes, opera, and juice bars: Do they
drive development? In Terry Nichols Clark (Ed.), The City as an Entertainment
Machine: Research in Urban Policy v.9 (pp.103-140). Oxford: Elsevier.
Dear, Michael (2000). The postmodern urban condition. Oxford: Blackwell.
Dear, Michael (Ed.) (with J. Dallas Dishman) (2002). From Chicago to L.A.: making
sense of urban theory. Thousand Oaks: Sage.
Dear, Michael, & Steven Flusty (1998). “Postmodern urbanism”. Annals of the
Association of American Geographers, 88:1, pp.50-72.
Dekker, Diana (2008). Heads in the clouds. The Dominion Post (Wellington, New
Zealand), October 18, Features, General, Culture, p.7.
Department of Commerce, Bureau of the Census (2002). “Urban Area criteria for
Census 2000: Notice of final program criteria”. Federal Register v.67 n.51: Friday,
March 15, pp.11663-11670. Obtained at:
http://www.census.gov/geo/www/ua/uafedreg031502.pdf
The Economist (2006). Pipe dreams: Public transport in Los Angeles. November 25.
The Economist (2010). The new model: Is Oregon’s metropolis a leader among cities or
just strange? April 15.
Garreau, Joel (1991). Edge City: Life on the New Frontier. New York: Anchor Books,
1992 (originally published by Doubleday, New York, 1991).
Giuliano, Genevieve, & Christian Redfearn (with Ajay Agarwal, Chen Li, & Duan
Zhuang) (2007). Employment concentrations in Los Angeles, 1980 - 2000.
Environment and Planning A, 39, pp.2935-2957.
Giuliano, Genevieve, & Kenneth A. Small (1991). Subcenters in the Los Angeles region.
Regional Science and Urban Economics, 21, pp.163-182.
167
Glaeser, Edward, Jed Kolko, & Albert Saiz (2004). Consumers and cities. In Terry
Nichols Clark (Ed.), The City as an Entertainment Machine: Research in Public Policy
v.9 (pp.177-183). Oxford: Elsevier.
Gordon, Peter, & Harry W. Richardson (1996). Beyond polycentricity: The dispersed
metropolis, Los Angeles, 1970-1990. Journal of the American Planning Association,
Summer 1996, 62, 3; ABI/INFORM Global pp.289-295.
Goss, Jon (1993). The ‘magic of the mall’: an analysis of form, function, and meaning in
the contemporary retail built environment. Annals of the Association of American
Geographers, 83:1, pp.18-47.
Greene, Richard P. (2006). Strong downtowns and high amenity zones as defining
features of the 21st Century metropolis: The case of Chicago. In R. P. Greene, M. J.
Bouman, & D. Grammenos (Eds.), Chicago’s geographies: Metropolis for the 21st
Century (pp. 50-74). Washington DC: Association of American Geographers.
Greene, Richard P. (2008). Urban peripheries as organizers of what remains of the
center: Examining the evidence from Los Angeles and Chicago. Urban Geography,
29(2), pp.138-153.
Harchaoui, Tarek M. (2004): The role of industrial classification in the micro-macro
integration: the case of the banking business in the 1997 North American Industrial
Classification System. Review of Income and Wealth 50:2, pp.203-212.
Haslam, Chris. (2008). Art attack in LA. The Sunday Times (London), February 24,
Travel, p.4.
Hawthorne, Christopher (2010). Critic’s Notebook: Edging toward a true revival: Grand
Avenue power brokers should take note of downtown's other renaissance. Los Angeles
Times, August 21, Calendar, Part D, p.1.
Hiss, Mark, & Garth Mueller (2011). Frommer’s California day by day. Wiley.
Horchow, Sally (2005). Paying homage to Hollywood's High Holy Days. The New York
Times, February 20, Section 5, Column 1, Travel Desk, p.13.
Hughes, Holly L. (1993). Metropolitan Structure and the Suburban Heirarchy; American
Sociological Review, 58:3, pp.417-433.
Ingwerson, Marshall (1985). In car-loving L.A., 22 miles of rail may be boon for mass
transit. Christian Science Monitor, April 4.
168
International Council of Shopping Centers (ICSC) (2012). U.S. shopping center
classification and definitions (table). January 12, 2012. Retrieved from
www.icsc.org/srch/lib/SCDefinitions.php on April 12, 2012.
Jacobs, Jane (1961). The death and life of great American cities. New York: Random
House.
Johnston, Ian (2007). Sunshine on Leith as plans to build a vibrant 'Forth Riviera' are
revealed. The Scotsman, September 5, p.15.
Lee, Bumsoo (2007). “’Edge’ or ‘edgeless’ cities? Urban spatial structure in U.S.
metropolitan areas, 1980 to 2000”. Journal of Regional Science, v.47 n.3, pp.479-515.
Lindsey, Robert (1981). Los Angeles’s street of rich and poor. The New York Times
September 7.
Kelton, Christina M. L., Margaret K. Pasquale, & Robert P. Rebelein (2008): Using the
North American Industry Classification System (NAICS) to identify national industry
cluster templates for applied regional analysis. Regional Studies, 42:3, pp.305-321.
Krishnan, Jayanthi & Eric Press (2003): The North American Industry Classification
System and its implications for accounting research. Contemporary Accounting
Research, 20:4, pp.685-717.
Murphy, Raymond E., & J. E. Vance, Jr. (1954). “Delimiting the CBD”. Economic
Geography, 30:3, pp.189-222.
O’Clery, Conor (1993). Rough Guide to USA. The Irish Times, December 20, World
Cup ’94 section, supplement, p.2.
Office of Management and Budget (2000). “Standards for defining Metropolitan and
Micropolitan Statistical Areas: Notice of decision”. Federal Register v.65 n.249, Part
IX: Wednesday, December 27, pp.82228-82238. Obtained at:
http://www.whitehouse.gov/sites/default/files/omb/fedreg/metroareas122700.pdf
Parcerisa, Josep (1989). “The Relief of the City”; Perspecta, 25, pp.26-31.
Park, Robert E., Ernest W. Burgess, & Roderick D. McKenzie (1967). The city:
Suggestions for investigation of human behavior in the urban environment. Chicago:
University of Chicago Press (first published 1925).
Porter, Michael F. (1998). Clusters and the new economics of competition. Harvard
Business Review, Nov.-Dec. 1998, p.77.
169
Porter, Michael (2010). “The rent gap at the metropolitan scale: New York City’s land-
value valleys, 1990-2006”. Urban Geography, 31-3, pp.385-405.
Purdum, Todd S. (1999). What’s doing in: Los Angeles. The New York Times, May 9,
Section 5, Column 1, Travel Desk, p.14.
Redfearn, Christian L. (2007). The topography of metropolitan employment: Identifying
centers of employment in a polycentric urban area. Journal of Urban Economics 61,
pp.519-541.
Ross, Katy (2010). City guide: Los Angeles. Scotland on Sunday, March 7, Spectrum
Edition, p.34.
Russell, Matthew, Paul Takac, & Lisa Usher (2004): Industry productivity trends under
the North American Industrial Classification system. Monthly Labor Review, 127:11,
pp.31-42.
Scott, A. J. (1983). Industrial Organization and the Logic of Intra-Metropolitan Location:
I – Theoretical Considerations. Economic Geography, 59:3, pp.233-250.
Sperling, Bert, & Peter Sander (2007). Cities ranked and rated, 2
nd
ed. Hoboken: Wiley.
Suisman, Douglas R. (1989). Los Angeles boulevard: Eight x-rays of the body public.
Los Angeles: Los Angeles Forum for Architecture and Urban Design.
Abstract (if available)
Linked assets
University of Southern California Dissertations and Theses
Conceptually similar
PDF
Does the Bay Area have a social center? Delimiting the postmodern urban center of the San Francisco Bay Area
PDF
The modifiable areal unit problem (MAUP) via cluster analysis methodologies: a look at scale, zoning, and instances of foreclosure in Los Angeles County
PDF
Evaluating the MAUP scale effects on property crime in San Francisco, California
PDF
Exploring urban change using historical maps: the industrialization of Long Island City (LIC), New York
PDF
Demonstrating GIS spatial analysis techniques in a prehistoric mortuary analysis: a case study in the Napa Valley, California
PDF
Out-of-school suspensions by home neighborhood: a spatial analysis of student suspensions in the San Bernardino City Unified School District
PDF
Spatiotemporal patterns of salt and nutrient contamination in Los Angeles County's groundwater basins
PDF
Building a geodatabase design for American Pika presence and absence data
PDF
Investigating the association of historical preservation and neighborhood status in Detroit, 1970-2015
PDF
Distribution and correlates of feral cat trapping permits in Los Angeles, California
PDF
A comparison of urban land cover change: a study of Pasadena and Inglewood, California, 1992‐2011
PDF
Spatial analysis of human activities and wildfires in the Willamette National Forest
PDF
Social media to locate urban displacement: assessing the risk of displacement using volunteered geographic information in the city of Los Angeles
PDF
Surface representations of rainfall at small extents: a study of rainfall mapping based on volunteered geographic information in Kona, Hawaii
PDF
Walking to the Longhouse: a deep map of the Central New York Military Tract & its indigenous history
PDF
The role of amenities in measuring park accessibility: a case study of Downey, California
PDF
Preparing for earthquakes in Dallas-Fort Worth: applying HAZUS and network analysis to assess shelter accessibility
PDF
Applying GIS to landscape irrigation systems: a case study of the Music Academy of the West campus in Montecito, CA
PDF
Developing a replicable approach for the creation of urban climatic maps for urban heat island analysis: a case study for the city of Los Angeles, California
PDF
The role of precision in spatial narratives: using a modified discourse quality index to measure the quality of deliberative spatial data
Asset Metadata
Creator
Krueger, Samuel Glendening
(author)
Core Title
Delimiting the postmodern urban center: an analysis of urban amenity clusters in Los Angeles
School
College of Letters, Arts and Sciences
Degree
Master of Science
Degree Program
Geographic Information Science and Technology
Publication Date
07/13/2012
Defense Date
06/13/2012
Publisher
University of Southern California
(original),
University of Southern California. Libraries
(digital)
Tag
central business district (CBD),geographic information science (GIS),local indicators of spatial association (LISA),Los Angeles,modifiable areal unit problem (MAUP),OAI-PMH Harvest,urban amenities,urban center,urban geography,urban morphology,urban structure
Language
English
Contributor
Electronically uploaded by the author
(provenance)
Advisor
Kemp, Karen K. (
committee chair
), Ethington, Philip J. (
committee member
), Wilson, John P. (
committee member
)
Creator Email
sam.krueger@alumni.usc.edu,skrueger@usc.edu
Permanent Link (DOI)
https://doi.org/10.25549/usctheses-c3-57565
Unique identifier
UC11288384
Identifier
usctheses-c3-57565 (legacy record id)
Legacy Identifier
etd-KruegerSam-952.pdf
Dmrecord
57565
Document Type
Thesis
Rights
Krueger, Samuel Glendening
Type
texts
Source
University of Southern California
(contributing entity),
University of Southern California Dissertations and Theses
(collection)
Access Conditions
The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the a...
Repository Name
University of Southern California Digital Library
Repository Location
USC Digital Library, University of Southern California, University Park Campus MC 2810, 3434 South Grand Avenue, 2nd Floor, Los Angeles, California 90089-2810, USA
Tags
central business district (CBD)
geographic information science (GIS)
local indicators of spatial association (LISA)
modifiable areal unit problem (MAUP)
urban amenities
urban center
urban geography
urban morphology
urban structure