Toward a More Explicit Stochastic Model of a City-Size Distribution: A Reply to Kim's Critique

1982 ◽  
Vol 14 (8) ◽  
pp. 1121-1124 ◽  
Author(s):  
A Okabe
Keyword(s):  
Stochastic Model ◽  
Size Distribution ◽  
City Size ◽  
Distribution Model ◽  
Population Process ◽  
City Size Distribution

This note is a reply to Kim's critique on my paper concerning Simon's city-size distribution model. First, Kim's critique is shown not to be relevant. Second, to make the debate constructive, a possible direction toward a more general city-size distribution model is shown in the context of a Markov population process.

A Dynamic Generalization of Zipf's Rank-Size Rule

1982 ◽  
Vol 14 (11) ◽  
pp. 1449-1467 ◽  
Author(s):  
B Roehner ◽  
K E Wiese
Keyword(s):  
Stochastic Model ◽  
Size Distribution ◽  
Urban Growth ◽  
Simple Form ◽  
Deterministic Model ◽  
City Size ◽  
Zipf’S Law ◽  
Zipf's Law ◽  
City Size Distribution ◽  
Zero Growth

A dynamic deterministic model of urban growth is proposed, which in its most simple form yields Zipf's law for city-size distribution, and in its general form may account for distributions that deviate strongly from Zipf's law. The qualitative consequences of the model are examined, and a corresponding stochastic model is introduced, which permits, in particular, the study of zero-growth situations.

A City-Size Distribution Model Based on the Weber-Fechner Law of Marginal Effects

1981 ◽  
Vol 13 (6) ◽  
pp. 689-701 ◽  
Author(s):  
R Bussière ◽  
T Stovall
Keyword(s):  
Utility Function ◽  
Size Distribution ◽  
Hierarchical Model ◽  
Pareto Distribution ◽  
City Size ◽  
Distribution Model ◽  
Marginal Effects ◽  
City Size Distribution ◽  
Locational Decisions ◽  
Maximum Entropy Distribution

The distribution by size of the cities of a region reflects the locational decisions made by the inhabitants concerned. Some of the factors underlying these decisions have a bearing on city size, and, it is assumed, make up a utility function that varies with city size according to the Weber-Fechner law of marginal effects. Under these conditions, the maximum entropy distribution of the population among the cities of the region gives rise to the hierarchical model described in the paper. Examples are given of calibrations of the model. It is shown that in the applicable statistical range this distribution and the Pareto distribution, although formally different, are quantitatively interchangeable. The derivation presented here may therefore be regarded as providing a new rationale for the Pareto city-size distribution model.

City‐size distribution in the Saudi Arabian Urban system

1996 ◽  
Vol 1 (2) ◽  
pp. 185-198 ◽  
Author(s):  
Ibrahim M. Shukri ◽  
Habib M. Alshuwaikhat ◽  
Shaibu Bala Garba
Keyword(s):  
Size Distribution ◽  
Urban System ◽  
Saudi Arabian ◽  
City Size ◽  
City Size Distribution
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