[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/tou/journl/v36y2012p189-204.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://regionetdeveloppement.univ-tln.fr/wp-content/uploads/10_Schaffar.pdf
    Download Restriction: no
    ---><---

    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, December.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Valente J. Matlaba & Mark J. Holmes & Philip McCann & Jacques Poot, 2013. "A Century Of The Evolution Of The Urban System In Brazil," Review of Urban & Regional Development Studies, Wiley Blackwell, vol. 25(3), pages 129-151, November.
    2. repec:wyi:journl:002175 is not listed on IDEAS
    3. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    4. Zhihong Chen & Shihe Fu & Dayong Zhang, 2013. "Searching for the Parallel Growth of Cities in China," Urban Studies, Urban Studies Journal Limited, vol. 50(10), pages 2118-2135, August.
    5. Arshad, Sidra & Hu, Shougeng & Ashraf, Badar Nadeem, 2019. "Zipf’s law, the coherence of the urban system and city size distribution: Evidence from Pakistan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 87-103.
    6. Sebastien TERRA, 2009. "Zipf's Law for Cities: On a New Testing Procedure," Working Papers 200920, CERDI.
    7. Chen, Zhihong & Fu, Shihe & Zhang, Dayong, 2010. "Searching for the parallel growth of cities," MPRA Paper 21528, University Library of Munich, Germany.
    8. Tomoya Mori & Tony E. Smith, 2009. "A Reconsideration of the NAS Rule from an Industrial Agglomeration Perspective," KIER Working Papers 669, Kyoto University, Institute of Economic Research.
    9. Rafael González-Val, 2019. "US city-size distribution and space," Spatial Economic Analysis, Taylor & Francis Journals, vol. 14(3), pages 283-300, July.
    10. Ioannides, Yannis M. & Zhang, Junfu, 2017. "Walled cities in late imperial China," Journal of Urban Economics, Elsevier, vol. 97(C), pages 71-88.
    11. Kristian GIESEN & Jens SÜDEKUM, 2012. "The French Overall City Size Distribution," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 107-126.
    12. 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.
    13. Clémentine Cottineau, 2022. "What do analyses of city size distributions have in common?," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(3), pages 1439-1463, March.
    14. Kristian Giesen & Jens Südekum, 2011. "Zipf's law for cities in the regions and the country," Journal of Economic Geography, Oxford University Press, vol. 11(4), pages 667-686, July.
    15. Rafael González‐Val, 2019. "Historical urban growth in Europe (1300–1800)," Papers in Regional Science, Wiley Blackwell, vol. 98(2), pages 1115-1136, April.
    16. Guohua Peng & Fan Xia, 2016. "The size distribution of exporting and non-exporting firms in a panel of Chinese provinces," Papers in Regional Science, Wiley Blackwell, vol. 95, pages 71-85, March.
    17. M. Modica & A. Reggiani & P. Nijkamp, 2015. "A Comparative Analysis of Gibrat s and Zipf s Law on Urban Population," Working Papers wp1008, Dipartimento Scienze Economiche, Universita' di Bologna.
    18. Ramos, Arturo & Sanz-Gracia, Fernando & González-Val, Rafael, 2013. "A new framework for the US city size distribution: Empirical evidence and theory," MPRA Paper 52190, University Library of Munich, Germany.
    19. Giorgio Fazio & Marco Modica, 2015. "Pareto Or Log-Normal? Best Fit And Truncation In The Distribution Of All Cities," Journal of Regional Science, Wiley Blackwell, vol. 55(5), pages 736-756, November.
    20. Bluhm, Richard & Krause, Melanie, 2022. "Top lights: Bright cities and their contribution to economic development," Journal of Development Economics, Elsevier, vol. 157(C).
    21. Marco Modica, 2014. "Does the EU have homogeneous urban structure area? The role of agglomeration and the impact of shocks on urban structure," ERSA conference papers ersa14p229, European Regional Science Association.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tou:journl:v:36:y:2012:p:189-204. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christophe Van Huffel (email available below). General contact details of provider: https://edirc.repec.org/data/letlnfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.