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The Dependence of Population Distribution on Location Costs

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  • J C Amson

    (The Mathematical Institute, The University of St. Andrews, St. Andrews, Scotland)

Abstract

Part of a household's constrained budget is assumed to be comprised of a general cost of location. By using a simple generalisation of Muth's economic theory of the spatial pattern of urban housing, the population density distribution in a plane city is shown to be dependent on the distribution of this generalised cost of location. If housing demand is elastic, then this dependence is shown to be exponential, a conclusion which agrees with a familiar result obtained by maximising the entropy of a population system subject to a cost constraint. If the housing demand is less or more elastic, then the dependence is binomial. Implications of the theory are discussed and illustrations given.

Suggested Citation

  • J C Amson, 1972. "The Dependence of Population Distribution on Location Costs," Environment and Planning A, , vol. 4(2), pages 163-181, June.
    • Handle: RePEc:sae:envira:v:4:y:1972:i:2:p:163-181
    DOI: 10.1068/a040163
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    Cited by:

    1. John Parr, 2012. "Spatial-structure differences between urban and regional systems," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(2), pages 293-303, October.

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