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New Derivations of the Rank-Size Rule Using Entropy-Maximising Methods

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  • A Anastassiadis

    (Department of Architecture, Aristotelian University of Thessaloniki, Thessaloniki, Greece)

Abstract

The entropy-maximising methodology for variables which take discrete values is used to derive the rank-size rule and to give a new interpretation of the constants. Relationships are found between the real populations of the cities, the populations that are given by the models, and the rank of the cities. A new index that represents the degree of concentration of a country is introduced as well as a new measure for the deviation of one pair of cities from the rank-size rule. The model is applied to data for Greek cities.

Suggested Citation

  • A Anastassiadis, 1986. "New Derivations of the Rank-Size Rule Using Entropy-Maximising Methods," Environment and Planning B, , vol. 13(3), pages 319-334, September.
    • Handle: RePEc:sae:envirb:v:13:y:1986:i:3:p:319-334
    DOI: 10.1068/b130319
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    References listed on IDEAS

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    1. Gunnar Olsson, 1967. "Central Place Systems, Spatial Interaction, And Stochastic Processes," Papers in Regional Science, Wiley Blackwell, vol. 18(1), pages 13-45, January.
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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.

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