The Dependence of Population Distribution on Location Costs

J C Amson
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J C Amson: The Mathematical Institute, The University of St. Andrews, St. Andrews, Scotland

Environment and Planning A, 1972, vol. 4, issue 2, 163-181

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.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envira:v:4:y:1972:i:2:p:163-181

DOI: 10.1068/a040163

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