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Une Théorie Géographique Pour La Loi De Zipf

  • Denise PUMAIN

    ()

    (UMR Géographie-cités)

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    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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    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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    1. William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
    2. Maarten Bosker & Steven Brakman & Harry Garretsen & Marc Schramm, 2006. "A Century of Shocks: The Evolution of the German City Size Distribution 1925 – 1999," CESifo Working Paper Series 1728, CESifo Group Munich.
    3. 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.
    4. Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, June.
    5. Pasaran, M.H. & Im, K.S. & Shin, Y., 1995. "Testing for Unit Roots in Heterogeneous Panels," Cambridge Working Papers in Economics 9526, Faculty of Economics, University of Cambridge.
    6. Xavier Gabaix & Yannis M. Ioannides, 2003. "The Evolution of City Size Distributions," Discussion Papers Series, Department of Economics, Tufts University 0310, Department of Economics, Tufts University.
    7. Yannis M. Ioannides & Henry G. Overman, 2004. "Spatial evolution of the US urban system," Journal of Economic Geography, Oxford University Press, vol. 4(2), pages 131-156, April.
    8. 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.
    9. 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.
    10. Chesher, Andrew, 1979. "Testing the Law of Proportionate Effect," Journal of Industrial Economics, Wiley Blackwell, vol. 27(4), pages 403-11, June.
    11. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    12. 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.
    13. Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-83, September.
    14. Denise Pumain & France Guérin-Pace, 1990. "150 ans de croissance urbaine," Économie et Statistique, Programme National Persée, vol. 230(1), pages 5-16.
    15. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
    16. Boris A. Portnov, 2011. "Does Zipf's Law Hold for Primate Cities? Some Evidence from a Discriminant Analysis of World Countries," ERSA conference papers ersa10p105, European Regional Science Association.
    17. McCloughan, Patrick, 1995. "Simulation of Concentration Development from Modified Gibrat Growth-Entry-Exit Processes," Journal of Industrial Economics, Wiley Blackwell, vol. 43(4), pages 405-33, December.
    18. 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.
    19. Anderson, Gordon & Ge, Ying, 2005. "The size distribution of Chinese cities," Regional Science and Urban Economics, Elsevier, vol. 35(6), pages 756-776, November.
    20. 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.
    21. Freeman, Chris & Louca, Francisco, 2001. "As Time Goes By: From the Industrial Revolutions to the Information Revolution," OUP Catalogue, Oxford University Press, number 9780199241071, March.
    22. Sharma, Shalini, 2003. "Persistence and stability in city growth," Journal of Urban Economics, Elsevier, vol. 53(2), pages 300-320, March.
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