The Dynamics of Urban Spatial Structure: Some Exploratory Results Using Difference Equations and Bifurcation Theory
- 1 December 1981
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 13 (12) , 1473-1483
- https://doi.org/10.1068/a131473
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.Keywords
This publication has 2 references indexed in Scilit:
- Equilibrium Values and Dynamics of Attractiveness Terms in Production-Constrained Spatial-Interaction ModelsEnvironment and Planning A: Economy and Space, 1978
- Simple mathematical models with very complicated dynamicsNature, 1976