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Optimal Distribution of City Sizes in a Region

Author

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  • T Tabuchi

    (Program in Urban Planning, 422 Gund Hall, Harvard University, Cambridge, Mass 02138, USA)

Abstract

First, an optimal spatial distribution model is proposed of population sizes in a country. The objective function to be examined consists of the amount of interaction benefit which is formulated by means of accessibility, and the amount of intraaction congestion cost which is measured by means of population density. Second, the optimal population distribution is obtained by use of this optimization model, and the necessary and sufficient conditions for the optimal solution is given. Third, based upon the data analysis of population distribution in Japanese prefectures in 1975, it is shown that the Japanese population is undergoing suburbanization and that this leads to the optimal population distribution. Last, this model is used to obtain and analyze the optimal grid system population distribution of the Tokyo Metropolitan Area.

Suggested Citation

  • T Tabuchi, 1982. "Optimal Distribution of City Sizes in a Region," Environment and Planning A, , vol. 14(1), pages 21-32, January.
    • Handle: RePEc:sae:envira:v:14:y:1982:i:1:p:21-32
    DOI: 10.1068/a140021
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    References listed on IDEAS

    as
    1. Okabe, Atsuyuki, 1979. "An expected rank-size rule : A theoretical relationship between the rank size rule and city size distributions," Regional Science and Urban Economics, Elsevier, vol. 9(1), pages 21-40, February.
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    Cited by:

    1. Hiroki Watanabe, 2017. "Let Tiebout pick up the tab: Pricing out externalities with free mobility," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 147-162, March.
    2. Takatoshi Tabuchi & Dao‐Zhi Zeng, 2004. "Stability of Spatial Equilibrium," Journal of Regional Science, Wiley Blackwell, vol. 44(4), pages 641-660, November.
    3. Watanabe, Hiroki, 2015. "A Spatial Production Economy Explains Zipf’s Law for Gross Metropolitan Product," MPRA Paper 72907, University Library of Munich, Germany.
    4. Akamatsu, Takashi & Fujishima, Shota & Takayama, Yuki, 2014. "On Stable Equilibria in Discrete-Space Social Interaction Models," MPRA Paper 55938, University Library of Munich, Germany.

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