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    Landscape Ecology 19: 375388, 2004.

    2004Kluwer Academic Publishers. Printed in the Netherlands. 375

    Evolving core-periphery interactions in a rapidly expanding urbanlandscape: The case of Beijing

    Ye Qi1,

    , Mark Henderson2

    , Ming Xu3

    , Jin Chen1

    , Peijun Shi1

    , Chunyang He1

    & G. Wil-liam Skinner41College of Resources and Environment, Beijing Normal University, Beijing, 100875, China; 2Department of

    Environmental Science, Policy and Management, University of California, Berkeley, CA 94720, USA;3Department

    of Ecology, Evolution and Natural Resources Center for Remote Sensing and Spatial Analysis, Rutgers University,

    New Brunswick, NJ 08901-8551; 4Department of Anthropology, University of California, Davis, CA 95616, USA;(Corresponding author: [email protected])

    Received 16 April 2002; accepted in revised form 17 April 2003

    Key words: Beijing, core-periphery, hierarchical regional space, landscape dynamics, urbanization, land use change

    model

    Abstract

    We characterized and analyzed the dynamics of a rapidly expanding urban landscape of Beijing Municipality,

    based on the Hierarchical Regional Space (HRS) model. We focused on ecological processes such as flows of

    energy, materials and population between the urban core and its periphery, and how these processes co-evolved

    with urbanization. We treated the HRS as an alternative to the cellular automata (CA) approach to characterizing

    and modeling of landscape dynamics. With LANDSAT data, we showed that the urban area of Beijing expanded

    from 269 km2 to 901 km2 in the period from 1975 to 1997, an increase of 2.35 times in 22 years. Meanwhile,

    a number of secondary urban centers formed on areas that used to be sparsely populated around the city. These

    secondary centers quickly expanded and ultimately merged with each other and with the urban core. The changes in

    spatial pattern and organization were accompanied by evolution of urban functions and particularly the interactions

    between the urban core and its periphery. We demonstrated a dramatic increase in dependence of the urban core onthe periphery as well as the cores influence on the periphery with a case analysis of the vegetable supply to Beijing.

    The tightening link between the city and its periphery reinforces the urbanization process and further drives the

    transformation of the regions landscape. We conclude that the HRS model is capable of characterizing the patterns

    and processes of complex and dynamic landscapes such as the case of Beijing, and this model has great potential

    for quantitative modeling of human dominated landscapes as well.

    Introduction

    Urbanization, a traditional research subject in geo-

    graphy and regional economics, has received increas-

    ing interest from ecologists who treat the process as

    transformation of landscape patterns and functions or

    as change in land use and land cover (Huang 1998;

    Bessey 2002). Despite the long history of the study

    of pattern and process of land use in geography, the

    resurged interest in land use and land cover change in

    the last decade was due primarily to its implications to

    global and regional climate change (IPCC 2001). Land

    use and land cover changes contribute, on average,

    more than 20% to the buildup of CO2 concentration in

    the atmosphere (Houghton 1999), and they affect the

    regional energy and water balance through the change

    of the albedo and land surface processes. As a major

    component of the global and regional environmental

    change, land use and land cover changes have a pro-

    found effect on the regional and global biodiversity

    (Chapin et al. 2000).

    Two major types of landscape transformation can

    be identified at regional level. The first is the con-

    version of natural vegetation to agricultural land, e.g.,

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    376

    the agricultural development in the Amazon basin in

    Brazil (Skole and Tucker 1994). The second is ex-

    pansion of urban landscape, which can be found all

    over the world, particularly along the coastlines of the

    continents, and around the existing metropolitan areas.

    Although urbanization is less extensive in area as com-

    pared to agricultural development, it has intensiveimpacts on the environment and ecosystem functions.

    It affects more human lives through its effects on the

    economy and society.

    Recent efforts in modeling land use and land cover

    changes have been dominated by the cellular automata

    (CA) approach (e.g., Qi 1994; Wegener 1994; Qi et al.

    1996; Landis and Zhang 1999; Jenerette and Wu 2001,

    Luck et al. 2001). In the CA approach, a landscape

    is divided into a number of grid cells. Each grid cell

    has a finite number of states, representing the types of

    land use and land cover. The change of the landscape

    is treated as the overall consequence of the conversion

    of the individual cells. At any point of time, each cell

    has a probability of being converted to another type

    of land use or land cover. The probability is a func-

    tion of a number of factors such as the topography,

    proximity to urban centers, proximity to transporta-

    tion network, and population density. Normally, the

    probability of one cell is assumed to be independent

    of the probability of the neighboring cells. The prob-

    ability values can be derived either from a set of rules

    or based on some statistical procedures. Examples of

    the former are found in Turner (1993); Qi (1994); Qi

    et al. (1996); Landis and Zhang (1999); Luck et al.

    2001, and the latter, the statistics-based approach, wasused in Pontius and Hall (1993); Clark et al. (1998).

    The CA approach is based on a reductionist view

    which assumes the whole is the sum of all consist-

    ing parts, and it focuses on dealing with individual

    cells. This approach often neglects the links among

    the cells and the overall patterns at greater spatial

    scales. The CA approach has proven to be effective

    when the spatial heterogeneity dominates the pattern,

    thus each location can be characterized by a unique

    vector of factors. Interactions among locations are

    given little or no consideration in such an approach.

    Despite many sussessful case in simulations in some

    cases, e.g., for mountainous regions in Southeast Asia

    (Qi et al. 1996), the CA approach is likely to fail in

    areas with flat terrain as a dominating feature of the

    topography such as Americas Midwest and Eastern

    China. In our study of landscape transformation of the

    Beijing and its surrounding area, we attempted to ex-

    plore a holistic approach that focuses on the overall

    patterns of the landscape and on the spatial relation-

    ships among the landscape components of same or

    different levels in spatial scale. We did so because the

    flat terrain of the region makes hard to characterize

    and explain the formation and change of the urban

    landscape based on the differences among locations as

    in the CA approach.We have observed in Beijing that more than 96%

    of the urban expansion occurred on land with slope

    less than 5 deg and elevation less than 100 m in the

    study period from 1975 to 1997. In spite of the lack of

    spatial heterogeneity in topography, the urbanization

    is anisotropic: the northward urban expansion was sev-

    eral times greater than the southward. This can hardly

    be explained by the differences in the local properties

    of the two directions. Thus, the CA approach which

    focuses on the local differences is inadequate. It is

    necessary to introduce alternative approaches that con-

    sider the global properties and the interrelationships

    and interactions among the localities.

    We use the hierarchical regional space (HRS)

    model developed by Skinner and associates (Skinner

    1977, 1994; Skinner et al. 2000). HRS treats a region

    as a whole in which interacting regional components

    and elements are arranged in a hierarchical structure

    with each component further divisible into lower level

    in organization. Human settlement centers serves as

    the nodes of the hierarchy. This model recognizes

    first the macroscale connections among the spatial ele-

    ments. It helps to characterize the large-scale patterns.

    This model was developed in study of the geographical

    structure of human settlement centers and economicactivities (see also Woldenberg 1971; Wilson 1977),

    but it coincides with many of the recent development

    in theoretical and landscape ecology (e.g., Wu and

    Locks 1995; Ahl and Allen 1996; Wu and David

    2002).

    The expansion of Beijing has resulted in much

    greater dependence and influence of the city on its

    peripheral areas. Vegetable supply is a good example.

    The city used to be self-sufficient in vegetable supply

    prior to 1980s, but now more than half of the sup-

    ply depends on the supply from Hebei, Shandong and

    other nearby provinces.

    In the HRS model, the intensively constructed

    urban area is recognized as the urban core, and the

    surrounding areas are treated as the cores periphery.

    Thus urban core is much larger in space than the tradi-

    tional central business district (CBD). The boundaries

    of the periphery is broadly defined by the limit which

    the core influences can reach. We realize that defin-

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    377

    ition is subject to debate, but it does not affect our

    analysis in this study.

    The rapid urbanization has occurred with, and as

    a result of, the over-intensified interactions between

    the urban core and its peripheral areas. On the one

    hand, the city core acts like a socioeconomic mag-

    net which absorbs the human and natural resourcesfrom the periphery, forming a constant and significant

    fluxes of material, energy and population between the

    core and its periphery; on the other hand, the urban

    cores influences radiate onto the peripheral areas and

    are agents for transformation in landscape patterns and

    functions in those areas. These dynamic interactions

    between the core and periphery are key to understand-

    ing and predicting the changes of urban landscapes. In

    this study, we characterize these changes of the urban

    landscape of Beijing for the period of a quarter cen-

    tury through applying the Hierarchical Regional Space

    (HRS) model and landscape ecology theories, based

    on the Landsat data and GIS. We will show that HRS is

    a useful alternative to the CA model for characterizing

    and modeling complex, dynamics landscapes and their

    changes.

    Data and method

    The site of study

    Beijing, the capital city of China, forms the core of

    one of the largest metropolitan regions in the country

    (Figure 1). The municipality is located at 39

    56

    N and11620 E, covers an area of 16,808 km2. Of which

    two third are mountainous areas encircling the west-

    ern, northern and eastern sides of the city. The center

    is 43.71 m above sea level and the main rivers include

    Yongding, Chaobai and north canal. Beijing lies in the

    temperate zone. Within 50 km north and west of the

    city, the Taihang and Jundu mountains, straddled by

    the famed Great Wall, rise to heights of 2,300 m.

    Beijings history as a capital city dates as far back

    as Chinas Warring States period (484-221 B.C.); most

    significantly, it was the center of the Mongols east

    Asian empire at the time of Marco Polo (c. 1285)

    and was the capital of the Ming and Qing dynasties(13681643 and 16441911). At the establishment

    of the Peoples Republic of China in 1949, the city

    was again made the national capital. Beijing has seen

    more constant expansion over the past five decades

    than any other Chinese city. By 1975, the city has

    a population of 9 millions. Since then, the city has

    experienced rapid economic boom and urbanization.

    The Qing city walls were replaced with ring roads,

    multistory housing blocks rose over the alleys of the

    old city, and surrounding villages became suburbs in a

    conurbation with some 6.5 million residents by 2000.

    Beijing municipality, encompassing eight districts and

    ten counties as well as the central city area, reportsa population of 14 million. Since the beginning of

    economic reforms in 1978, development of the sur-

    rounding countryside has been especially brisk. The

    plains east and south of the city are now a check-

    erboard of high-intensity agricultural lands and new

    urban areas, while nearby mountainous areas, though

    targets of reforestation since the 1960s, also show the

    effects of economic expansion.

    Data

    We used Landsat data to detect the change in spatial

    patterns of the land use and land cover from 1975 to1997. The coverage of our landsat data includes 11 of

    a total of 18 districts or counties of which the Beijing

    Municipality consists. The 11 districts or counties

    contain the urban core of Beijing and part of peri-

    pheral counties. The covered area (enclosed within

    39355240220 N and 11550051165909

    and about 4500 km2) has experienced the most dra-

    matic urbanization in the period of study. Seven

    counties that are left out of the study all distribute in

    the outskirt of the municipality. The four periods of

    Landsat data are all taken for path 123 and row 32.

    Except the first period (May 6, 1975) for which MSS

    data was used with a spatial resolution of 180180 m,

    TM data are used for other periods (October 2, 1984,

    May 6 1991 and May 16, 1997) and the spatial res-

    olution is 30 30 m. The four scenes were selected

    based on their data quality, cloud cover, and time of

    the year. All data were processed at the Institute of

    Resource Science of Beijing Normal University. Shi

    et al. (2001) provided details on data processing.

    Land use and land cover classification were based

    on the system used by Anderson (1976). The seven

    types that are distinguished on the images include:

    intensive urban area, extensive urban area, water

    (including fish ponds), farmland, orchards, shrubs,and forest. Kappa statistics for classification are 0.71

    (1975), 0.76 (1984), 0.80 (1991) and 0.82 (1997).

    The hierarchical regional space model

    HRS draws on some of the fundamental elements of

    modern geographical thought, including regional sys-

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    378

    Figure 1. The area of study, with surrounding urban centers. The urban core is indicated as central city and the surrounding districts. Different

    levels of urban centers are also laid out.

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    379

    tems theory (in the tradition of von Thnen), central

    place theory (following Christaller 1933), and dif-

    fusion theory (as introduced by Hgerstrand 1965).

    Foreshadowing regional systems theory, von Thnen

    (1966 [1826]) described how zones of high- to low-

    value economic activity fill the regions around cities.

    Seen as core-periphery structures, von Thnens zonescan be characterized in terms of agricultural intens-

    ity and transport efficiency. Regional systems theory

    subsequently conceptualized these regions as local or

    regional, social and economic systems, centered at

    urban nodes and nested in a more or less integrated

    hierarchy. This led in 1925 to E. W. Burgesss con-

    centric growth model that modeled city expansion in

    terms of concentric circles of high- to low-value urban

    activities.

    In the 1930s and1940s geographerWalter Christaller

    and economist August Lsch put forth versions of

    central place theory that became fundamental texts of

    urban geography. For agrarian societies, Christallers

    (1933) central place theory predicts the emergence

    of a hierarchy of settlements, with each level of the

    hierarchy providing distinctive services and attain-

    ing corresponding levels of development. Individuals

    on the landscape orient their economic activities to

    specific central places at each hierarchical level in

    accordance with the services provided there: to a

    nearby market town for items of daily use, to central

    towns for cooking utensils, to cities for fashionable

    clothes, and to metropolises for specialized services

    such as higher education. It follows that the hierarch-

    ical levels providing less common services require acorrespondingly wider hinterland, and that for reas-

    ons of transportation efficiency the hinterlands at each

    level become nested. Economic activities in this hier-

    archy develop hand in hand with a web of social

    networks, making a central place analysis a useful

    starting point for an investigation of social patterns.

    Anthropologist G. William Skinner first applied

    a central place analysis to understanding the spa-

    tial structure of rural Chinese society at the local

    level, finding evidence for the traffic and market

    variants of Christallers central place theory (Skin-

    ner 196465, Crissman 1976, p.204). In subsequent

    work, Skinner traced Chinas central place hierarchy

    up to its highest levels, proposing that the agrarian

    portion of China (excluding the pastoral regions of

    Tibet and Inner Asia) could best be analyzed in terms

    of nine macroregions (Skinner 1976). Each of these

    macroregions makes up a more or less integrated eco-

    nomic system within Chinas national economy, much

    as the comparably populous nations of France, Ger-

    many, and others function as more or less integrated

    economic systems within Europes continental eco-

    nomy. Skinners regionalization of China has been

    highly influential in studies of Chinese history and

    society (Lavely 1989; Cartier 2002) but has not been

    widely appreciated in fields such as economics orecology, which have tended to rely on much more

    simplistic spatial characterizations (such as bifurcat-

    ing China into north and south or coastal and in-

    terior; see Batty 1994) or emphasizing physiographic

    regions rather than social regions despite the dominant

    role of human activity on the Chinese landscape.

    After a decades-long lapse, in 1980s and 1990s the

    Chinese government began compiling and releasing a

    wide range of social, economic, and environmental

    statistics. Skinner and associates made use of these

    statistics and newly available GIS technologies to

    construct a still more detailed spatial framework for

    China dubbed the Hierarchical Regional Space model.

    (Parallel efforts using historical data have led to the

    construction of HRS models for Japan and France.)

    The HRS model aims to make explicit the spatial

    relations among regions defined around human settle-

    ments at multiple levels in the central place hierarchy.

    Phenomena at a given location in the social-economic

    landscape must be understood in terms of that loc-

    ations position amidst the core-periphery structures

    operating at different spatial scales at each level in

    the hierarchy. Implemented in a geographic inform-

    ation system, the HRS model has been shown to be

    highly predictive of socioeconomic phenomena suchas fertility, education, and occupational stratification

    by gender (Skinner 1994; Henderson et al. 1999; Skin-

    ner et al. 2000; Henderson and Ladenson 2000). In

    this paper we return HRS to the intellectual roots of

    Thnenesque regional systems theory by applying it

    to questions of urbanization and land use/land cover

    change.

    As applied to China, HRS theory is operationalized

    as a multilevel hierarchical framework for analyzing

    data for regional systems. Below the top hierarch-

    ical level, Chinas nine macroregions may be divided

    into central metropolitan subsystems, each oriented

    around one or two major metropolises. Four such sub-

    systems Beijing-Tianjin, Shijiazhuang, Zhengzhou,

    and Jinan-Qingdao are found in the North China

    macroregion. (Figure 2 outlines the nine macrore-

    gions of China and the four subsystems of North

    China, including the region around Beijing that is

    the focus of this paper.) At this hierarchical level

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    Figure 2. Chinas macroregional systems in relation to provinces, showing metropolitan cities, 1990. Within the North China macroregion,

    four subregions are delineated with heavy dashed lines (from Skinner et al. 2000).

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    we can discern the broad core-periphery pattern of

    socio-economic development through an analysis of

    county-level statistics and household census returns.

    For the Beijing region these are grouped into seven

    core-periphery zones (see figure 3), representing the

    structural distance from the core to settlements within

    each zone, taking into account socioeconomic vari-ables and transportation costs. (Skinner et al. 2000,

    provides a detailed description of the analysis rep-

    resented by these zones. The core-periphery concept

    itself is widely used in urban studies; see for example

    Wallerstein 1991; Krugman 1991; or Chase-Dunn and

    Hall 1991.)

    In implementing the HRS model for China, Skin-

    ner et al. (2000) has continued below the level of

    regional cities to assign some 12,000 smaller cities and

    towns to levels in the central place hierarchy. These

    assignments are not simply a matter of classifying set-

    tlements by population size; as countless applications

    of the rank-size rule have shown, we can expect no

    hierarchical discontinuities within an ordered list of

    city populations below the level of the primate city,

    and China is no exception (Zipf 1949; Skinner 1976;

    Mann 1984; Marshall 1989; Reed 2002). Instead,

    central places are classified by the urban functions

    they perform for their surrounding hinterlands. In the

    case of China, published statistics on urban functions

    were used for cities in the upper levels of the hierarchy

    to guide the analysis; population figures play a role in

    the lower levels, but the breakpoints between levels

    necessarily vary with each local urban system. Central

    place analysis expects settlements at each level withinthe hierarchy to show a high degree of primacy with

    respect to the lower-level central places in their hinter-

    lands. Thus the delineation of regional systems and the

    assignment of the central places therein to hierarchical

    levels follows a top-down approach as advocated by

    Marshall (1989), identifying the primate settlement at

    each level and its dependent nodes at the next lower

    level, ultimately revealing the urban hierarchy from

    metropolis to market town.

    Figure 3 depicts the urban hierarchy in the imme-

    diate vicinity of our Beijing study area and outlines the

    boundaries of regional city systems, a middle hierarch-

    ical level in the HRS model. Each regional city (there

    are some 272 in all of China; Skinner et al. 2000,

    p.619) serves as the economic and social hub of these

    systems. And, with patterns analogous to those seen at

    the macroregional level, regional city systems are ex-

    pected to exhibit their own core-periphery structures.

    These assignments, along with administrative ranks

    assigned by the Chinese government, have been used

    to characterize every location in China along an urban-

    rural continuum; this dimension of the HRS model

    aims to approximate the core-periphery structures of

    lower-order urban centers and their immediate hinter-

    lands. Thus the HRS model allows us to contextualize

    any settlement in agrarian China by its position withinboth high-level and meso-level core-periphery struc-

    tures: by its core-periphery zone and by its urban-rural

    continuum category.

    For this study of urban expansion, the space

    between settlements is modeled by interpolating the

    core-peripheryzone assignments between mapped set-

    tlements, and by extending the urban-rural continuum

    categories outward along transportation routes using

    the distance-decay function common to gravity mod-

    els. The key model variables, then, account for the

    structural distance from a given point to the urban

    nodes at different levels in the urban hierarchy, as well

    as the transportation distance to the nearest settlement

    of any level.

    Results and analyses

    The results of classification of land use and land cover

    of 1975, 1984, 1991, and 1997 are mapped in Figure 4.

    Six types of land use/ land cover are identified in the

    map, with intensive and extensive urban area lumped

    together. Maps of changes in urbanization are shown

    in Figure 5. In this section, we will discuss the changes

    in land use and land cover, in spatial patterns, and inurban functions.

    Changes in land use and land cover

    Table 1 summarizes the change in land use and land

    cover in the study area of a total of 4500 km2. The

    values in each row represent the percentages of each of

    the seven land use/cover types in the study area for one

    point in time. The table shows that five types of land

    increased in their areas while two types decreased.

    Among the gaining side, urban expansion is the most

    significant. Putting together both urban land types, we

    see that 14% (or 630 km2) of the land in the study areawas converted to urban use in the 22-year period from

    1975 to 1997. As a result, the urban area more than

    doubled during the period. Water surface, orchards,

    and forest cover also had significant growth. On the

    losing side, farmland lost about one third of its area

    in 1975. The lost land, about 945 km2, was mostly

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    Figure 3. Core-periphery structure of the North China macroregion, showing high-order cities and major transportation network, 1990. The

    level of shade (gray) indicate the gradient from core to periphery. See 2.3. for description how the gradient is defined and delineated.

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    Figure 4. Land use and land cover classified from Landsat MSS and TM data, (a). 1975; (b) 1984; (c) 1991; and (d) 1997. Intensive and

    extensive urban areas are combined.

    used for urban expansion and aquaculture. Shrubs and

    grassland had a significant loss to reforestation, mostly

    in the mountainous areas where the natural vegetation

    prior to timber harvest was temperate forest.

    Changes in spatial patterns

    Three major changes in spatial pattern have been ob-

    served: (1) the expansion of the urban core, (2) the

    formation of secondary urban centers, and (3) the

    fragmentation of the landscape.

    First, the expansion of the urban is obvious from

    the maps from 1975 through 1997 in Figures 4 and 5.

    Most of the expanded urban areas took place around

    the edges of the existing urban area, mostly through

    nibbling the farmland around the city. The core

    expansion was accompanied by the mergence of sec-

    ondary urban clusters. For example, on the map of

    1975, a dumb bell-like band of urban area in the west

    and southwest of the city was well recognizable. The

    west cluster, labeled with circle and number 1 in Fig-

    ure 4, was where a major state-owned steel plant, the

    Capital Steel, was located; and the southwest cluster is

    a suburban town called Fengtai which was a major hub

    of freight trains. Over the years, these clusters grew

    fast enough, and quickly merged with the main urban

    core. By 1991, the farmland between the dumb-bell

    band and the urban core was hardly recognizable and

    continued to grow through 1997.

    The second feature is the formation of second-

    ary urban centers, or secondary central places in

    Christallers (1933) terminology. There are largely two

    types of secondary urban clusters around the core of

    Beijing: the capital towns of the counties and the in-

    dustrial buildups of large, and usually state-owned,

    enterprises. In addition to the two clusters mentioned

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    Table 1. The fraction of land use/cover types in four points in time.

    Intensive Extensive Water Crops Orchards Shrubs/ Forest

    Urban Urban Grass

    1975 1.29 4.68 1.19 66.66 6.03 16.04 4.10

    1984 1.53 10.86 2.28 60.29 7.09 12.31 5.64

    1991 2.19 12.45 4.44 54.41 7.56 12.06 6.90

    1997 6.44 13.54 7.39 45.66 8.68 10.13 8.16

    in the last paragraph, we marked eight other second-

    ary urban clusters which could be barely recognized

    in the 1975 map. These clusters were seeds to grow.

    By 1984, all marked clusters had significant growth

    in area, and clusters 1 and 2 merged with each other.

    By 1991, clusters 1, 2 and 3 were essentially in-

    tegrated with the urban core due to their respective

    expansion. Other marked clusters grew to become sig-

    nificant urban centers. The formation and growth ofthe secondary urban centers markedly changed the

    pattern of the landscape.

    The third feature of the landscape change is char-

    acterized by the increased fragmentation. Shi et al.

    (2001) calculated both landscape diversity index and

    fragmentation index. The diversity index increased

    from 0.49 in 1975 to 0.70 in 1997 for the study area.

    Meanwhile, the fragmentation index increased from

    0.71 to 0.81. Important differences in fragmentation

    exist between the flat areas (about 80% of the total

    area of study) and the mountainous area (20%). For

    the plains, the diversity index increased from 0.38 to0.56, while the fragmentation index from 0.73 to 0.90.

    For the mountainous area, the diversity index varied

    in the range from 0.52 to 0.56, but the fragmentation

    index decreased from 0.93 to 0.56.

    The change in fragmentation indicates the effect

    of land use and land cover change on the overall

    pattern of the landscape. The plains were severely

    impacted by urban expansion which resulted in in-

    crease in fragmentation, while the mountains were

    reforested with young trees, leading to decrease in

    fragmentation of the landscape. This agrees to gen-

    eral observation that urban expansion and intensified

    transportation network tend to increase the landscape

    heterogeneity, while the reforestation homogenizes the

    vegetation cover of the mountains. In fact, 99% of the

    urban expansion took place on areas with slope less

    than 5 deg, and more 96% of the urbanization on areas

    with elevation less than 100 m (Shi et al. 2001). The

    fact that most urbanization took place on relatively

    homogeneous areas makes it difficult for the CA ap-

    proach using topography as a major driver the change

    in land use / land cover.

    Increased core-periphery interactions: The example

    of vegetable supply

    The changes of urban functions are closely related

    to the transformation of the landscape patterns as aconsequence of urbanization. The urbanization of the

    Beijing area showed that the patterns and functions

    co-evolve with each other. These changes together res-

    ulted in functional integration of the core and the sur-

    rounding areas. More profoundly, the changes helped

    to convert the areas surrounding the municipality to

    functionally integral parts of the urban hierarchy. As

    a result, the urban core of Beijing has increased its

    influence over the expanded periphery. The surround-

    ing areas which otherwise used to be little impacted

    by the municipality have now become integrated in

    economic, social and ecological functions with themunicipality. On the other hand, the dependence of

    the urban core on the newly expanded periphery has

    increased. This dynamics of evolving core-periphery

    interactions is important in understanding and mod-

    eling the change of landscape patterns. We use the

    vegetable supply as an example to demonstrate this

    important feature in urban function dynamics.

    Fresh vegetable has become perhaps the largest

    foodstuff consumed by the urban population. This has

    to do with the diet structure of the Chinese people

    who, in general, consume much less meat as com-

    pared to the people in the Western countries. Cities

    themselves do not produce vegetables, and vegetablesupply to the cities depends largely on the nearby rural

    areas. However, municipalities which include rural

    areas surrounding the urban cores had great capacity

    for vegetable supply (Skinner 1978). In 1975, Beijing

    achieved self-sufficiency in vegetable supply, with

    about 90% of its consumption of vegetables produced

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    in the rural landscape in these regions was plastic

    covered greenhouses surrounding the rural villages.

    The rapid urban expansion in Beijing area was closely

    coupled with the widespread reallocation of land from

    grain production to vegetable and fruit production in

    the neighboring Hebei and Shandong Provinces.

    The regional expansion of vegetable supply de-veloped with formation and growth of specialized

    vegetable production zones. In Shandong Province

    alone, several counties developed their specialized

    zones for vegetable production. Counties in Liaocheng

    Prefecture, 250 km from Beijing, became special-

    ized in vegetable production by late 1980s. Similarly,

    Shouguang County has become the largest vegetable

    production base in China. This county alone sup-

    plied 20% of all vegetable consumption of the city of

    Beijing in 1990s.

    Lowered cost of transportation has been an im-

    portant factor. For example, Suning county of Hebei

    Province is 220 km south of Beijing. It used to take

    6 h to travel to Beijing by bus ten years ago. Now the

    travel time is cut by half due to the improvement of

    roads and means of transportation. In this relatively

    small county where vegetable production used to be

    for households self-consumption, 25% of the arable

    land is now allocated for vegetable production, mainly

    to be transported Beijing (Suning Statistics Summary

    2000). In effect, at least part of each of the provinces

    surrounding Beijing has become well integrated in

    function with the Beijing metropolis.

    Discussion

    Land classification and measures of landscape

    measures

    We were able to identify seven types of land use and

    land cover. It is possible to make more detailed clas-

    sification, particularly using LANDSAT TM data, but

    the seven types are adequate for our purpose in this

    study. Rather than accurately quantifying each land

    type, we focused on characterizing the change of the

    spatial patterns and functions of the urban landscape

    of Beijing and on uncovering the evolving interac-tions between the urban core and its periphery that

    accompanied the changes of landscape patterns.

    Due to the lack of TM data for 1975, we used MSS

    data instead. The difference in spatial resolution (30 m

    for TM vs.180 m for MSS) would inevitably introduce

    errors in both land classification and in calculation of

    measures of landscape structure (Qi and Wu 1996; Wu

    et al. 2002). It is likely that the resulted errors do not

    obscure the overall trend in landscape structures from

    1975 to 1984. This was a period when great changes

    in landscape patterns took place.

    The diversity index is generally not a good choice

    to indicate the fragmentation of landscapes. We usedit in combination with fragmentation index calculated

    in Shi et al. 2001.

    The core-periphery interactions and transformation

    of urban landscape

    More than two decades of urban development not only

    has transformed the landscape of the municipality of

    Beijing, but also changed the overall landscape in

    the peripheral regions. The extent of the periphery

    has expanded and the functional links between the

    urban core and its periphery have been tightened. The

    perspective of viewing the dynamics of the urbaniz-ing landscape as an evolving process of interactions

    between the urban core and periphery has import-

    ant implications for modeling the landscape changes.

    The urbanization process in Beijing region can be

    viewed largely as process of core-periphery interac-

    tions, while the characteristics of specific locations has

    played minor role in affecting land use and land cover

    change. The changes of spatial patterns at large scale

    are closely linked to the spatial interactions between

    the different levels in the urban-rural continuum in

    the core-periphery zone. For this particular case of

    Beijing, topography, which is usually an importantdriver for land use and land cover change, has doubt-

    lessly played a minor role, because of its lack of

    heterogeneity in the region. No other single or mul-

    tiple factors, physical or socio-economic variables,

    seemed to have major influence on the landscape trans-

    formation in the region during the period under study.

    Therefore, as an alternative, the HRS approach serves

    as a complement to the CA approach.

    The use of the HRS model

    We noted that both HRS model and its predecessor,

    the central place theory, were developed for under-standing the regional structure of agrarian societies.

    In our case, the Beijing municipality and the sur-

    rounding region are one of the most industrialized

    regions in China. Yet HRS still works as a qualitat-

    ive theory, as demonstrated in Skinner et al. (2000),

    in explaining the social-economic structures of the

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    lower Yangtze River basin. This has potential to be-

    come a quantitative model of landscape dynamics of

    the region. However, this model will have to include

    Tianjin, another major metropolitan entity of the same

    macroregion (see Figure 2). An interesting observation

    is that the rate of urban expansion of Tianjin has been

    much slower than that of Beijing. Some even arguethat it is the development of Beijing that has drained

    the resources and market that are otherwise shared by

    Tianjin. If this is the case, it provides an example of

    core-periphery interactions of different type. But this

    much more complicated case is beyond the scope of

    this study.

    The urban expansion in Beijing is a result of

    reallocation of energy, material, information, capital,

    labor and market. These elements distribute, flow and

    dissipate with the spatial structure and make the struc-

    ture itself to evolve (Costanza 1977). HRS model

    provides a macroscopic view of the overall system,

    and a theoretical framework, supplementing the CA

    model, for building the model of landscape dynamics.

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