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Derivation of the Negative Exponential Model by an Entropy Maximising Method

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  • R. Bussière
  • F. Snickars

Abstract

All the inhabitants of a city who participate in the choice of a place of residence are assumed to have a propensity to visit the urban centre. The distribution of residential locations is represented by a probability density surface whose horizontal plane projection is coextensive with that of the city. A spatially continuous system is thus defined in which it is shown that, under conditions of maximum entropy and subject to specific normalisation and cost constraints, the population is distributed in accordance with the negative exponential model of urban population densities.

Suggested Citation

  • R. Bussière & F. Snickars, 1970. "Derivation of the Negative Exponential Model by an Entropy Maximising Method," Environment and Planning A, , vol. 2(3), pages 295-301, September.
    • Handle: RePEc:sae:envira:v:2:y:1970:i:3:p:295-301
    DOI: 10.1068/a020295
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    Cited by:

    1. Chen, Yanguang, 2012. "The rank-size scaling law and entropy-maximizing principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 767-778.
    2. Song, Shunfeng, 1992. "Monocentric and Polycentric Density Functions and Their Required Commutes," University of California Transportation Center, Working Papers qt2q1004j9, University of California Transportation Center.
    3. Small Kenneth A. & Song Shunfeng, 1994. "Population and Employment Densities: Structure and Change," Journal of Urban Economics, Elsevier, vol. 36(3), pages 292-313, November.
    4. Daniel Griffith & David Wong, 2007. "Modeling population density across major US cities: a polycentric spatial regression approach," Journal of Geographical Systems, Springer, vol. 9(1), pages 53-75, April.
    5. Song, Shunfeng, 1992. "Spatial Structure and Urban Commuting," University of California Transportation Center, Working Papers qt1962t3j6, University of California Transportation Center.

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