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Rank‐Size Distribution Of Settlement Systems: A Stable Attractor In Urban Growth

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  • Günter Haag
  • Horst Max

Abstract

ABSTRACT A further step towards a dynamic model for the observed size distribution of a system of settlements is presented. The occurrence and temporal stability of the rank‐size distribution is obtained as the result of a dynamic self‐organizing process of the nested system of settlements. The inherent time scale of this self‐organizing process and the obtained hierarchical structure are related to the generally low inter settlement mobility of urban population, the tendency of the population to agglomerate, distance effects and preference effects. The well‐known migration model of Weidlich and Haag is used as starting point and three approaches to express the attractivity in the system are compared. The stationary state is investigated in detail under some limiting conditions.

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  • Günter Haag & Horst Max, 1995. "Rank‐Size Distribution Of Settlement Systems: A Stable Attractor In Urban Growth," Papers in Regional Science, Wiley Blackwell, vol. 74(3), pages 243-258, July.
    • Handle: RePEc:bla:presci:v:74:y:1995:i:3:p:243-258
    DOI: 10.1111/j.1435-5597.1995.tb00640.x
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    Cited by:

    1. Denise Pumain & Lena Sanders, 2013. "Theoretical Principles in Interurban Simulation Models: A Comparison," Environment and Planning A, , vol. 45(9), pages 2243-2260, September.
    2. Lena SANDERS, 2012. "Regards Scientifiques Croisés Sur La Hiérarchie Des Systèmes De Peuplement : De L’Empirie Aux Systèmes Complexes," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 127-146.

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