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Une Théorie Géographique Pour La Loi De Zipf

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  • Denise PUMAIN

    () (UMR Géographie-cités)

Abstract

An important literature has focused on then rank size rule and the Zipf’s law without delivering significant results. Among the reasons for this low scientific productivity, one can find ommisions and misunderstandings between different scientific fields, the generalization of physical and mathematical models abusively applied to social science fields and the pure quality of data concerning city size and city growth. In this paper, we use empirical studies throughout the world in order to build a geographical theory on urban systems’evolution. We use a comparative method to examine cities dynamics.

Suggested Citation

  • Denise PUMAIN, 2012. "Une Théorie Géographique Pour La Loi De Zipf," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 31-54.
  • Handle: RePEc:tou:journl:v:36:y:2012:p:31-54
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    File URL: http://region-developpement.univ-tln.fr/fr/pdf/R36/3_Pumain.pdf
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    References listed on IDEAS

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    3. Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2008. "A century of shocks: The evolution of the German city size distribution 1925-1999," Regional Science and Urban Economics, Elsevier, vol. 38(4), pages 330-347, July.
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    5. Sharma, Shalini, 2003. "Persistence and stability in city growth," Journal of Urban Economics, Elsevier, vol. 53(2), pages 300-320, March.
    6. Chesher, Andrew, 1979. "Testing the Law of Proportionate Effect," Journal of Industrial Economics, Wiley Blackwell, vol. 27(4), pages 403-411, June.
    7. Kühnert, Christian & Helbing, Dirk & West, Geoffrey B., 2006. "Scaling laws in urban supply networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 96-103.
    8. France Guérin-Pace & Denise Pumain, 1990. "150 ans de croissance urbaine," Économie et Statistique, Programme National Persée, vol. 230(1), pages 5-16.
    9. Gilles Duranton & Diego Puga, 2001. "Nursery Cities: Urban Diversity, Process Innovation, and the Life Cycle of Products," American Economic Review, American Economic Association, vol. 91(5), pages 1454-1477, December.
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    13. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
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    16. B Roehner & K E Wiese, 1982. "A dynamic generalization of Zipf's rank - size rule," Environment and Planning A, Pion Ltd, London, vol. 14(11), pages 1449-1467, November.
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    18. Duranton, Gilles, 2006. "Some foundations for Zipf's law: Product proliferation and local spillovers," Regional Science and Urban Economics, Elsevier, vol. 36(4), pages 542-563, July.
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    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    SYSTEMS OF CITIES; ZIPF’S LAW; URBAN GROWTH; GIBRATS LAW; CITIES’ DYNAMICS;

    JEL classification:

    • B29 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Other
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C80 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - General
    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • Y80 - Miscellaneous Categories - - Related Disciplines - - - Related Disciplines

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