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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)

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.

Suggested Citation

  • Alexandra SCHAFFAR, 2012. "La Loi De Zipf Sous Le Prisme De L’Auto-Correlation Spatiale - Les Cas De La Chine Et De L’Inde," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 189-204.
    • Handle: RePEc:tou:journl:v:36:y:2012:p:189-204
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    References listed on IDEAS

    as
    1. Debarsy, Nicolas & Ertur, Cem, 2010. "Testing for spatial autocorrelation in a fixed effects panel data model," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 453-470, November.
    2. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    3. Julie Le Gallo & Coro Chasco, 2009. "Spatial analysis of urban growth in Spain, 1900–2001," Studies in Empirical Economics, in: Giuseppe Arbia & Badi H. Baltagi (ed.), Spatial Econometrics, pages 59-80, Springer.
    4. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    5. 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.
    6. Catherine Baumont & Cem Ertur & Julie Le Gallo, 2006. "Clubs de convergence et effets de débordements géographiques : une analyse spatiale sur données régionales européennes, 1980-1995," Economie & Prévision, La Documentation Française, vol. 0(2), pages 111-134.
    7. 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.
    8. Cem Ertur & Thiaw Kalidou, 2005. "Growth and Spatial Dependence - The Mankiw, Romer and Weil model revisited," ERSA conference papers ersa05p660, European Regional Science Association.
    9. Manfred M. Fischer & Arthur Getis (ed.), 2010. "Handbook of Applied Spatial Analysis," Springer Books, Springer, number 978-3-642-03647-7, November.
    10. Alexandra Schaffar, 2010. "Quelle est la nature de la croissance urbaine indienne ?," Revue d’économie du développement, De Boeck Université, vol. 18(2), pages 101-120.
    11. 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.
    12. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    13. Nitsch, Volker, 2005. "Zipf zipped," Journal of Urban Economics, Elsevier, vol. 57(1), pages 86-100, January.
    14. Krugman, Paul, 1996. "Confronting the Mystery of Urban Hierarchy," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 399-418, December.
    15. 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.
    16. Soo, Kwok Tong, 2005. "Zipf's Law for cities: a cross-country investigation," Regional Science and Urban Economics, Elsevier, vol. 35(3), pages 239-263, May.
    17. 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.
    18. Bernard Fingleton, 1999. "Estimates of Time to Economic Convergence: An Analysis of Regions of the European Union," International Regional Science Review, , vol. 22(1), pages 5-34, April.
    19. 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.
    20. 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.
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    More about this item

    Keywords

    ZIPF’S LAW; URBAN HIERARCHIES; SPATIAL AUTO-CORRELATION; CHINA; INDIA;
    All these keywords.

    JEL classification:

    • R10 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models

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