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La Loi De Zipf Sous Le Prisme De L’Auto-Correlation Spatiale - Les Cas De La Chine Et De L’Inde

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  • Alexandra SCHAFFAR

    ()
    (Université de Toulon, LEAD, EA 3163, 83957 La Garde, France)

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    Abstract

    This paper applies a rank-size model on panel data. By introducing the spatial dimension of data, it aims in taking into account spatial autocorrelation effects on the Zipf law. We apply Debarsy and Ertur (2010) methodology in order to choose the best specification between three alternative models : the spatial autoregressive model (SAR), the spatial error model (SEM) and the general spatial model with fixed effects on panel data (SARAR). Taking into account spatial autocorrelation effects does not modify the conclusions from the a-spatial model for China the Zipf’s law holds but do modify conclusions for India : in this country the a-spatial model doesn’t confirm the Zipf’s law on the long run, while this changes when we introduce spatial autcorrelation.

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    File URL: http://region-developpement.univ-tln.fr/fr/pdf/R36/10_Schaffar.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: 189-204

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    Handle: RePEc:tou:journl:v:36:y:2012:p:189-204

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    Postal: BP 132, 83957 La Garde Cédex
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    Web page: http://regionetdeveloppement.org/
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    Related research

    Keywords: ZIPF’S LAW; URBAN HIERARCHIES; SPATIAL AUTO-CORRELATION; CHINA; INDIA;

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    1. Parr, John B., 1985. "A note on the size distribution of cities over time," Journal of Urban Economics, Elsevier, vol. 18(2), pages 199-212, September.
    2. Nicolas Debarsy & Cem Ertur, 2009. "Testing for Spatial Autocorrelation in a Fixed Effects Panel Data Model," Post-Print halshs-00414133, HAL.
    3. Kwok Tong Soo, 2004. "Zipfs Law for Cities: A Cross Country Investigation," CEP Discussion Papers dp0641, Centre for Economic Performance, LSE.
    4. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
    5. Lee, Lung-fei & Yu, Jihai, 2010. "Some recent developments in spatial panel data models," Regional Science and Urban Economics, Elsevier, vol. 40(5), pages 255-271, September.
    6. Julie Le Gallo & Catherine Baumont & Sandy Dall'erba & Cem Ertur, 2005. "On the property of diffusion in the spatial error model," Applied Economics Letters, Taylor & Francis Journals, vol. 12(9), pages 533-536.
    7. Krugman, Paul, 1996. "Confronting the Mystery of Urban Hierarchy," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 399-418, December.
    8. Nitsch, Volker, 2004. "Zipf zipped," Discussion Papers 2004/16, Free University Berlin, School of Business & Economics.
    9. G�ran Therborn & K.C. Ho, 2009. "Introduction," City, Taylor & Francis Journals, vol. 13(1), pages 53-62, March.
    10. Julie Gallo & Coro Chasco, 2008. "Spatial analysis of urban growth in Spain, 1900–2001," Empirical Economics, Springer, vol. 34(1), pages 59-80, February.
    11. 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.
    12. Xavier Gabaix & Rustam Ibragimov, 2007. "Rank-1/2: A Simple Way to Improve the OLS Estimation of Tail Exponents," NBER Technical Working Papers 0342, National Bureau of Economic Research, Inc.
    13. 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.
    14. Duncan Black & Vernon Henderson, 1999. "A Theory of Urban Growth," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 252-284, April.
    15. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    16. Gabaix, Xavier & Ibragimov, Rustam, 2011. "Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(1), pages 24-39.
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