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Modeling the Segregation of the Urban Population

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  • E Werczberger

    (Center for Urban and Regional Studies, Tel-Aviv University, Ramat-Aviv, 69978, Tel-Aviv, Israel)

Abstract

The paper is concerned with the effects of spatial externalities on urban development. With the Herbert-Stevens model of the housing market as the point of departure, equilibrium conditions are formulated. Similar to those of stationary points in quadratic programming, these conditions allow the adaptation of the corresponding algorithms. The nonconvexities caused by the externalities lead to multiple equilibria which may be associated with different city sizes and spatial configurations. The model can be used for the simulation of different empirically observed spatial segregation patterns such as sectors, concentric rings, and multiple nuclei.

Suggested Citation

  • E Werczberger, 1984. "Modeling the Segregation of the Urban Population," Environment and Planning B, , vol. 11(1), pages 15-28, March.
    • Handle: RePEc:sae:envirb:v:11:y:1984:i:1:p:15-28
    DOI: 10.1068/b110015
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    References listed on IDEAS

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    1. Loury, Glenn C., 1978. "The minimum border length hypothesis does not explain the shape of black ghettos," Journal of Urban Economics, Elsevier, vol. 5(2), pages 147-153, April.
    2. Kanemoto, Yoshitsugu, 1980. "Theories of urban externalities," MPRA Paper 24614, University Library of Munich, Germany.
    3. King, A. Thomas, 1980. "General equilibrium with externalities: A computational method and urban applications," Journal of Urban Economics, Elsevier, vol. 7(1), pages 84-101, January.
    4. Courant, Paul N., 1978. "Racial prejudice in a search model of the urban housing market," Journal of Urban Economics, Elsevier, vol. 5(3), pages 329-345, July.
    5. Miyao, Takahiro, 1978. "A probabilistic model of location choice with neighborhood effects," Journal of Economic Theory, Elsevier, vol. 19(2), pages 347-358, December.
    6. Pines, David & Werczberger, Elia, 1982. "A linear programming model of the urban housing and land markets : Static and dynamic aspects," Regional Science and Urban Economics, Elsevier, vol. 12(2), pages 211-233, May.
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