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A Spatial Equilibrium Model for Region Size, Urbanization Ratio, and Rural Structure

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  • F Wang

    (Department of Geography, Northern Illinois University, DeKalb, IL 60115, USA)

  • J-M Guldmann

    (Department of City and Regional Planning, The Ohio State University, Columbus, OH 43210, USA)

Abstract

Earlier economic models of city size have either focused on urban agglomeration effects while ignoring the spatial structure of the rural hinterland, or made unrealistic assumptions (for example, uniform rural population distribution) so as to simplify the problem. Following the classic von Thünen framework, we present a two-sector spatial equilibrium model of a city located at the center of an agricultural hinterland. The city produces industrial goods, and the rural area produces agricultural goods. Both goods are consumed both by urban and by rural residents. Market equilibrium for these goods determines: (1) the spatial size of the region, (2) the urbanization ratio (urban to total population) and the population size of the city, and (3) the rural spatial structure (wage, population distribution, land rent, and agricultural yield). Given various sets of exogenous parameters pertaining to the industrial, agricultural, and transportation production functions and to population preferences, the model is solved numerically, and response functions are estimated and analyzed.

Suggested Citation

  • F Wang & J-M Guldmann, 1997. "A Spatial Equilibrium Model for Region Size, Urbanization Ratio, and Rural Structure," Environment and Planning A, , vol. 29(5), pages 929-941, May.
    • Handle: RePEc:sae:envira:v:29:y:1997:i:5:p:929-941
    DOI: 10.1068/a290929
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    References listed on IDEAS

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    1. Alperovich, Gershon, 1982. "Scale economies and diseconomies in the determination of city size distribution," Journal of Urban Economics, Elsevier, vol. 12(2), pages 202-213, September.
    2. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455, September.
    3. Kanemoto, Yoshitsugu, 1990. "Optimal cities with indivisibility in production and interactions between firms," Journal of Urban Economics, Elsevier, vol. 27(1), pages 46-59, January.
    4. Fogarty, Michael S. & Garofalo, Gasper A., 1988. "Urban spatial structure and productivity growth in the manufacturing sector of cities," Journal of Urban Economics, Elsevier, vol. 23(1), pages 60-70, January.
    5. Upton, Charles, 1981. "An equilibrium model of city size," Journal of Urban Economics, Elsevier, vol. 10(1), pages 15-36, July.
    6. Henderson, J. V., 1977. "Externalities in a spatial context : The case of air pollution," Journal of Public Economics, Elsevier, vol. 7(1), pages 89-110, February.
    7. Fisch, Oscar, 1976. "Optimal city size, land tenure and the economic theory of clubs," Regional Science and Urban Economics, Elsevier, vol. 6(1), pages 33-44, March.
    8. Kim, Sunwoong, 1991. "Heterogeneity of labor markets and city size in an open spatial economy," Regional Science and Urban Economics, Elsevier, vol. 21(1), pages 109-126, May.
    9. Mohan, Rakesh, 1984. "The effect of population growth, the pattern of demand and of technology on the process of urbanization," Journal of Urban Economics, Elsevier, vol. 15(2), pages 125-156, March.
    10. Calem, Paul S. & Carlino, Gerald A., 1991. "Urban agglomeration economies in the presence of technical change," Journal of Urban Economics, Elsevier, vol. 29(1), pages 82-95, January.
    11. John S. Chipman, 1970. "External Economies of Scale and Competitive Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 347-385.
    12. Richard J. Arnott & Joseph E. Stiglitz, 1979. "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 471-500.
    13. Kanemoto, Yoshitsugu, 1980. "Theories of urban externalities," MPRA Paper 24614, University Library of Munich, Germany.
    14. Taylor, Carol A., 1986. "Spatial utility equilibrium and city size distribution in a central place system," Journal of Urban Economics, Elsevier, vol. 19(1), pages 1-22, January.
    15. Arnott, Richard, 1979. "Optimal city size in a spatial economy," Journal of Urban Economics, Elsevier, vol. 6(1), pages 65-89, January.
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    Cited by:

    1. Wang, Fahui, 1999. "Modeling a central place system with interurban transport costs and complex rural hinterlands," Regional Science and Urban Economics, Elsevier, vol. 29(3), pages 381-409, May.

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