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An Examination of the Equivalence of Three Alternative Mechanisms for Establishing the Equilibrium Solutions of the Production-Constrained Spatial Interaction Model

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  • R Crouchley

    (Department of Sociology, University of Surrey, Guildford, Surrey GU2 5XH, England)

Abstract

In this paper, three methods for determining the equilibrium points of the production-constrained spatial interaction model are reviewed; these are a balancing mechanism, differential topology, and entropy maximization. Harris and Wilson's examination of the equivalence of the three methods is summarized, and then the conditions under which equivalence can break down are established. A comparison of the results obtained from an application of each method to an often-used two-zone example is also presented.

Suggested Citation

  • R Crouchley, 1987. "An Examination of the Equivalence of Three Alternative Mechanisms for Establishing the Equilibrium Solutions of the Production-Constrained Spatial Interaction Model," Environment and Planning A, , vol. 19(7), pages 861-874, July.
    • Handle: RePEc:sae:envira:v:19:y:1987:i:7:p:861-874
    DOI: 10.1068/a190861
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    References listed on IDEAS

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    1. J F Kaashoek & A C F Vorst, 1984. "The Cusp Catastrophe in the Urban Retail Model," Environment and Planning A, , vol. 16(7), pages 851-862, July.
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    1. 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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