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The French Overall City Size Distribution

Author

Listed:
  • Kristian GIESEN

    () (Mercator School of Management, University of Duisburg-Essen, Germany)

  • Jens SÜDEKUM

    () (Mercator School of Management, University of Duisburg-Essen, Germany)

Abstract

We analyze the overall size distribution across all French settlements in the year 2008. The sizes of the largest French cities follow the famous Zipf's law fairly closely, with Paris being a notable outlier. However, for the overall city size distribution (CSD), Zipf's law is not a useful approximation. We show that the lognormal (LN) distribution does a reasonable job in fitting the overall French CSD. Yet, it is clearly outperformed by a different parameterization, the double Pareto lognormal (DPLN) distribution. This is consistent with our previous findings for city sizes in the US and other countries. We discuss the implications of these results for urban growth theory.

Suggested Citation

  • 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.
  • Handle: RePEc:tou:journl:v:36:y:2012:p:107-126
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    File URL: http://region-developpement.univ-tln.fr/fr/pdf/R36/6_GiesenSudekum.pdf
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    References listed on IDEAS

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    1. Rafael González‐Val, 2010. "The Evolution Of U.S. City Size Distribution From A Long‐Term Perspective (1900–2000)," Journal of Regional Science, Wiley Blackwell, vol. 50(5), pages 952-972, December.
    2. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, pages 1429-1451.
    3. Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2011. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," American Economic Review, American Economic Association, pages 2205-2225.
    4. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    5. Marcus Berliant & Shin-Kun Peng & Ping Wang, 2014. "Taxing pollution: agglomeration and welfare consequences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 665-704, April.
    6. 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.
    7. Ahn, Tom & Arcidiacono, Peter & Wessels, Walter, 2011. "The Distributional Impacts of Minimum Wage Increases When Both Labor Supply and Labor Demand Are Endogenous," Journal of Business & Economic Statistics, American Statistical Association, pages 12-23.
    8. Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, pages 1676-1683.
    9. Rosen, Kenneth T. & Resnick, Mitchel, 1980. "The size distribution of cities: An examination of the Pareto law and primacy," Journal of Urban Economics, Elsevier, vol. 8(2), pages 165-186, September.
    10. 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.
    11. Giesen, Kristian & Suedekum, Jens, 2012. "The size distribution across all "Cities": a unifying approach," LSE Research Online Documents on Economics 59252, London School of Economics and Political Science, LSE Library.
    12. Bosker, Maarten & Buringh, Eltjo, 2017. "City seeds: Geography and the origins of the European city system," Journal of Urban Economics, Elsevier, pages 139-157.
    13. Nitsch, Volker, 2005. "Zipf zipped," Journal of Urban Economics, Elsevier, vol. 57(1), pages 86-100, January.
    14. 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, pages 24-39.
    15. Cheshire, Paul, 1999. "Trends in sizes and structures of urban areas," Handbook of Regional and Urban Economics,in: P. C. Cheshire & E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 3, chapter 35, pages 1339-1373 Elsevier.
    16. Bosker, Maarten & Buringh, Eltjo & Van Zanden, Jan Luiten, 2008. "From Baghdad to London: The Dynamics of Urban Growth in Europe and the Arab World, 800-1800," CEPR Discussion Papers 6833, C.E.P.R. Discussion Papers.
    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. Giesen, Kristian & Zimmermann, Arndt & Suedekum, Jens, 2010. "The size distribution across all cities - Double Pareto lognormal strikes," Journal of Urban Economics, Elsevier, vol. 68(2), pages 129-137, September.
    19. Henderson, J. Vernon & Wang, Hyoung Gun, 2007. "Urbanization and city growth: The role of institutions," Regional Science and Urban Economics, Elsevier, vol. 37(3), pages 283-313, May.
    20. Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2011. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," American Economic Review, American Economic Association, pages 2205-2225.
    21. Alberto F. Ades & Edward L. Glaeser, 1995. "Trade and Circuses: Explaining Urban Giants," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 195-227.
    22. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
    23. Yannis M. Ioannides & Spyros Skouras, 2009. "Gibrat's Law for (All) Cities: A Rejoinder," Discussion Papers Series, Department of Economics, Tufts University 0740, Department of Economics, Tufts University.
    24. William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
    25. Gan, Li & Li, Dong & Song, Shunfeng, 2006. "Is the Zipf law spurious in explaining city-size distributions?," Economics Letters, Elsevier, vol. 92(2), pages 256-262, August.
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    Citations

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    Cited by:

    1. Miguel Puente-Ajovín & Arturo Ramos, 2015. "On the parametric description of the French, German, Italian and Spanish city size distributions," The Annals of Regional Science, Springer;Western Regional Science Association, pages 489-509.
    2. Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia & María Vera-Cabello, 2015. "Size distributions for all cities: Which one is best?," Papers in Regional Science, Wiley Blackwell, vol. 94(1), pages 177-196, March.
    3. Ramos, Arturo, 2015. "Log-growth distributions of US city sizes and non-Lévy processes," MPRA Paper 66561, University Library of Munich, Germany.
    4. Stephan Brunow & Valentina Nafts, 2013. "What types of firms tend to be more innovative: A study on Germany," Norface Discussion Paper Series 2013021, Norface Research Programme on Migration, Department of Economics, University College London.
    5. Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
    6. 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.

    More about this item

    Keywords

    ZIPF'S LAW; GIBRAT'S LAW; CITY SIZE DISTRIBUTIONS; DOUBLE PARETO LOGNORMAL;

    JEL classification:

    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity

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