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The Size Distribution Across All "Cities": A Unifying Approach

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  • Giesen, Kristian

    ()
    (University of Duisburg-Essen)

  • Suedekum, Jens

    ()
    (Heinrich Heine University Düsseldorf)

Abstract

In this paper we show that the double Pareto lognormal (DPLN) parameterization provides an excellent fit to the overall US city size distribution, regardless of whether "cities" are administratively defined Census places or economically defined area clusters. We then consider an economic model that combines scale-independent urban growth (Gibrat's law) with endogenous city creation. City sizes converge to a DPLN distribution in this model, which is much better in line with the data than previous urban growth frameworks that predict a lognormal or a Pareto city size distribution (Zipf's law).

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Bibliographic Info

Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 6352.

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Length: 16 pages
Date of creation: Feb 2012
Date of revision:
Handle: RePEc:iza:izadps:dp6352

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Keywords: city size distributions; Gibrat's law; Zipf's law; double Pareto-Lognormal;

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References

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  1. Esteban Rossi-Hansberg & Mark L. J. Wright, 2006. "Urban structure and growth," Staff Report 381, Federal Reserve Bank of Minneapolis.
  2. María Sánchez-Vidal & Rafael González-Val & Elisabet Viladecans-Marsal, 2013. "Sequential city growth in the US: Does age matter?," ERSA conference papers ersa13p35, European Regional Science Association.
  3. J.V. Henderson, 1972. "The Sizes and Types of Cities," Working Papers 75, Queen's University, Department of Economics.
  4. 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.
  5. Ioannides, Yannis & Skouras, Spyros, 2013. "US city size distribution: Robustly Pareto, but only in the tail," Journal of Urban Economics, Elsevier, vol. 73(1), pages 18-29.
  6. Vernon Henderson & Anthony Venables, 2009. "Dynamics of city formation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 233-254, April.
  7. Nitsch, Volker, 2004. "Zipf zipped," Discussion Papers 2004/16, Free University Berlin, School of Business & Economics.
  8. 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.
  9. Cuberes, David, 2008. "A Model of Sequential City Growth," MPRA Paper 8431, University Library of Munich, Germany.
  10. Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-83, September.
  11. Wen‐Tai Hsu, 2012. "Central Place Theory and City Size Distribution," Economic Journal, Royal Economic Society, vol. 122(563), pages 903-932, 09.
  12. Harris Dobkins, Linda & Ioannides, Yannis M., 2001. "Spatial interactions among U.S. cities: 1900-1990," Regional Science and Urban Economics, Elsevier, vol. 31(6), pages 701-731, November.
  13. 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.
  14. Cuberes, David, 2011. "Sequential city growth: Empirical evidence," Journal of Urban Economics, Elsevier, vol. 69(2), pages 229-239, March.
  15. Moshe Levy, 2009. "Gibrat's Law for (All) Cities: Comment," American Economic Review, American Economic Association, vol. 99(4), pages 1672-75, September.
  16. William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
  17. 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.
  18. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
  19. Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2009. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," NBER Working Papers 15409, National Bureau of Economic Research, Inc.
  20. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
  21. Reed, William J., 2003. "The Pareto law of incomes—an explanation and an extension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 469-486.
  22. González-Val, Rafael & Ramos, Arturo & Sanz, Fernando & Vera-Cabello, María, 2013. "Size Distributions for All Cities: Which One is Best?," MPRA Paper 44314, University Library of Munich, Germany.
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Cited by:
  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. Ferdinand Rauch, 2013. "Cities as Spatial Clusters," Economics Series Working Papers 656, University of Oxford, Department of Economics.
  3. Alexander S. Skorobogatov, 2014. "An Ongoing Reversal Of Fortune Among Russian Cities: City Age, Natural Resources, And Changing Spatial Income Distribution," HSE Working papers WP BRP 60/EC/2014, National Research University Higher School of Economics.
  4. 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.
  5. González-Val, Rafael & Ramos, Arturo & Sanz, Fernando & Vera-Cabello, María, 2013. "Size Distributions for All Cities: Which One is Best?," MPRA Paper 44314, University Library of Munich, Germany.

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