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A Dynamic Generalization of Zipf's Rank-Size Rule

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  • B Roehner

    (Laboratoire de Physique Théorique et Hautes Énergies, Université Paris VII, Paris, France)

  • K E Wiese

    (U.E.R. de Physique, Université Paris VII, Paris, France)

Abstract

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.

Suggested Citation

  • B Roehner & K E Wiese, 1982. "A Dynamic Generalization of Zipf's Rank-Size Rule," Environment and Planning A, , vol. 14(11), pages 1449-1467, November.
    • Handle: RePEc:sae:envira:v:14:y:1982:i:11:p:1449-1467
    DOI: 10.1068/a141449
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