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Multiplicative Processes and City Sizes

In: The Dynamics of Complex Urban Systems

Author

Listed:
  • Damián H. Zanette

    (Centro Atómico Bariloche and Instituto Balseiro)

Abstract

In this contribution, I address the function of multiplicative stochastic processes in modelling the occurrence of power-law city size distributions. As an explanation of the result of Zipf’s rank analysis, Simon’s model is presented in a mathematically elementary way, with a thorough discussion of the involved hypotheses. Emphasis is put on the flexibility of the model, as to its possible extensions and the relaxation of some strong assumptions. I point out some open problems regarding the prediction of the detailed shape of Zipf’s rank plots, which may be tackled by means of such extensions.

Suggested Citation

  • Damián H. Zanette, 2008. "Multiplicative Processes and City Sizes," Springer Books, in: Sergio Albeverio & Denise Andrey & Paolo Giordano & Alberto Vancheri (ed.), The Dynamics of Complex Urban Systems, pages 457-472, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-1937-3_22
    DOI: 10.1007/978-3-7908-1937-3_22
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    Cited by:

    1. Trevor Fenner & Eric Kaufmann & Mark Levene & George Loizou, 2017. "A multiplicative process for generating a beta-like survival function with application to the UK 2016 EU referendum results," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(11), pages 1-14, November.
    2. Trevor Fenner & Mark Levene & George Loizou, 2018. "A multiplicative process for generating the rank-order distribution of UK election results," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(3), pages 1069-1079, May.

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