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From the Weber Problem to a ‘Topodynamic’ Approach to Locational Systems

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  • L N Tellier

    (University of Quebec at Montreal, CP 8888, Sue, A, Montreal, Quebec H3C 3P8, Canada)

Abstract

In any given space, a sequence of interdependent Weber problems of a certain type leads to a pattern of locations which can be mathematically characterized. Conversely, the observed evolution of a given locational system corresponds to certain characteristics of an analogous Weberian locational system. Determining such characteristics leads to the simulating and forecasting of the evolution of the observed locational system. A model corresponding to such a ‘topodynamic’ approach is presented and an application is made. Three different effects are integrated into the model: an interdependency effect which determines the polarization level; an ‘attraction — repulsion’ effect which determines the center — periphery equilibrium; and a distance deterrence effect which determines the diffusion process and the inertia level.

Suggested Citation

  • L N Tellier, 1992. "From the Weber Problem to a ‘Topodynamic’ Approach to Locational Systems," Environment and Planning A, , vol. 24(6), pages 793-806, June.
    • Handle: RePEc:sae:envira:v:24:y:1992:i:6:p:793-806
    DOI: 10.1068/a240793
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