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Une Théorie Géographique Pour La Loi De Zipf

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  • Denise PUMAIN

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    (UMR Géographie-cités)

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    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.

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    File URL: http://region-developpement.univ-tln.fr/fr/pdf/R36/3_Pumain.pdf
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    Bibliographic Info

    Article provided by Region et Developpement, LEAD, Universite du Sud - Toulon Var in its journal Région et Développement.

    Volume (Year): 36 (2012)
    Issue (Month): ()
    Pages: 31-54

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    Handle: RePEc:tou:journl:v:36:y:2012:p:31-54

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    Related research

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

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    1. Sharma, Shalini, 2003. "Persistence and stability in city growth," Journal of Urban Economics, Elsevier, vol. 53(2), pages 300-320, March.
    2. Yannis Ioannides & Henry G. Overman, 2000. "Spatial evolution of the US urban system," LSE Research Online Documents on Economics 20138, London School of Economics and Political Science, LSE Library.
    3. Gabaix, Xavier & Ioannides, Yannis M., 2004. "The evolution of city size distributions," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 53, pages 2341-2378 Elsevier.
    4. Denise Pumain & France Guérin-Pace, 1990. "150 ans de croissance urbaine," Économie et Statistique, Programme National Persée, vol. 230(1), pages 5-16.
    5. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    6. Chesher, Andrew, 1979. "Testing the Law of Proportionate Effect," Journal of Industrial Economics, Wiley Blackwell, vol. 27(4), pages 403-11, June.
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    8. 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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    11. Duranton, Gilles & Puga, Diego, 2000. "Nursery Cities: Urban Diversity, Process Innovation, and the Life-Cycle of Products," CEPR Discussion Papers 2376, C.E.P.R. Discussion Papers.
    12. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
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    16. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    17. Céline Rozenblat, 2010. "Opening the Black Box of Agglomeration Economies for Measuring Cities’ Competitiveness through International Firm Networks," Urban Studies, Urban Studies Journal Limited, vol. 47(13), pages 2841-2865, November.
    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.
    19. William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
    20. Alexandra Schaffar & Michel Dimou, 2012. "Rank-size City Dynamics in China and India, 1981--2004," Regional Studies, Taylor & Francis Journals, vol. 46(6), pages 707-721, August.
    21. 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.
    22. Freeman, Chris & Louca, Francisco, 2001. "As Time Goes By: From the Industrial Revolutions to the Information Revolution," OUP Catalogue, Oxford University Press, number 9780199241071, October.
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