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Some Reconsiderations of Simon's City-Size Distribution Model

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  • A Okabe

    (Institute of Socio-Economic Planning, University of Tsukuba, Sakura-mura, Niihari-gun, Ibaraki-ken 300-31, Japan)

Abstract

In conjunction with the empirical findings that the form of city-size distributions is stable over time, this paper reexamines Simon's (1955) model and provides a better understanding of that model. First, a Simon-type model is proposed which is a generalization of Simon's model. Second, Simon's model is reexamined with respect to the ‘steady state’. Third, in the context of the Simon-type model, the necessary and sufficient conditions for the ‘steady state’ with the Yule (1924) city-size distributions are investigated. Last, the necessary and sufficient conditions for the ‘asymptotically steady state’ are obtained.

Suggested Citation

  • A Okabe, 1977. "Some Reconsiderations of Simon's City-Size Distribution Model," Environment and Planning A, , vol. 9(9), pages 1043-1053, September.
    • Handle: RePEc:sae:envira:v:9:y:1977:i:9:p:1043-1053
    DOI: 10.1068/a091043
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