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A Markovian Entropy-Maximizing Model of Population Distribution

Author

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  • R Lee

    (Department of Geography, McMaster University, Hamilton, Ontario, Canada L8S 4K1)

Abstract

The entropy-maximizing formalism used in urban and regional modelling has typically been applied within a static or equilibrium context. This paper presents a dynamic entropy model of the distribution of population over time. It is initially assumed that a Markov chain adequately represents the residential relocation process. The strategy then involves maximizing the entropy of a Markov chain, subject to suitable constraints, so as to generate least-biased estimates of the Markovian parameters. If a stationary process is assumed, these in turn allow the projection of the probability distribution vector of population densities over successive, equal, time intervals.

Suggested Citation

  • R Lee, 1974. "A Markovian Entropy-Maximizing Model of Population Distribution," Environment and Planning A, , vol. 6(6), pages 693-702, December.
    • Handle: RePEc:sae:envira:v:6:y:1974:i:6:p:693-702
    DOI: 10.1068/a060693
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    References listed on IDEAS

    as
    1. G J Papageorgiou, 1971. "The Population Density and Rent Distribution Models within a Multicentre Framework," Environment and Planning A, , vol. 3(3), pages 267-281, September.
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