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The Dynamics of Urban Spatial Structure: Some Exploratory Results Using Difference Equations and Bifurcation Theory

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  • M Clarke
  • A G Wilson

Abstract

It is demonstrated that a simple difference equation model, which exhibits complex bifurcation behaviour, can be used to represent change in urban retailing and residential systems. These submodels are combined to form a rudimentary dynamic model of urban spatial structure. A sample of exploratory results are presented for a 169-zone hypothetical system.

Suggested Citation

  • M Clarke & A G Wilson, 1981. "The Dynamics of Urban Spatial Structure: Some Exploratory Results Using Difference Equations and Bifurcation Theory," Environment and Planning A, , vol. 13(12), pages 1473-1483, December.
    • Handle: RePEc:sae:envira:v:13:y:1981:i:12:p:1473-1483
    DOI: 10.1068/a131473
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    Cited by:

    1. James PL Tan, 2016. "A Generalized Population Dynamics Model of a City and an Algorithm for Engineering Regime Shifts," Papers 1612.08338, arXiv.org.
    2. P Nijkamp & A Reggiani, 1988. "Dynamic Spatial Interaction Models: New Directions," Environment and Planning A, , vol. 20(11), pages 1449-1460, November.

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