IDEAS home Printed from https://ideas.repec.org/p/wiw/wiwrsa/ersa12p106.html
   My bibliography  Save this paper

The size distribution across all 'cities': A unifying approach

Author

Listed:
  • Kristian Giesen

    ()

  • Jens Suedekum

    ()

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 as in Eeckhout (2004) or economically defined area clusters as in Rozenfeld et al. (2011). 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).

Suggested Citation

  • Kristian Giesen & Jens Suedekum, 2012. "The size distribution across all 'cities': A unifying approach," ERSA conference papers ersa12p106, European Regional Science Association.
  • Handle: RePEc:wiw:wiwrsa:ersa12p106
    as

    Download full text from publisher

    File URL: http://www-sre.wu.ac.at/ersa/ersaconfs/ersa12/e120821aFinal00108.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Urban Structure and Growth," Review of Economic Studies, Oxford University Press, vol. 74(2), pages 597-624.
    2. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-656, September.
    3. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    4. 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, vol. 101(5), pages 2205-2225, August.
    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. Cuberes David, 2009. "A Model of Sequential City Growth," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-41, May.
    7. Wen‐Tai Hsu, 2012. "Central Place Theory and City Size Distribution," Economic Journal, Royal Economic Society, vol. 122(563), pages 903-932, September.
    8. Cuberes, David, 2011. "Sequential city growth: Empirical evidence," Journal of Urban Economics, Elsevier, vol. 69(2), pages 229-239, March.
    9. 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.
    10. 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.
    11. 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.
    12. Sánchez-Vidal, María & González-Val, Rafael & Viladecans-Marsal, Elisabet, 2014. "Sequential city growth in the US: Does age matter?," Regional Science and Urban Economics, Elsevier, vol. 44(C), pages 29-37.
    13. Moshe Levy, 2009. "Gibrat's Law for (All) Cities: Comment," American Economic Review, American Economic Association, vol. 99(4), pages 1672-1675, September.
    14. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
    15. William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
    16. 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.
    17. Nitsch, Volker, 2005. "Zipf zipped," Journal of Urban Economics, Elsevier, vol. 57(1), pages 86-100, January.
    18. 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.
    19. Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-1683, September.
    20. 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.
    21. 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.
    22. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    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. 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.
    5. Ferdinand Rauch, 2014. "Cities as spatial clusters," Journal of Economic Geography, Oxford University Press, vol. 14(4), pages 759-773.
    6. Gilberto Seravalli, 2016. "Dimensioni e crescita delle città in Europa: l’incertezza danneggia soprattutto le città medie," SCIENZE REGIONALI, FrancoAngeli Editore, vol. 2016(2), pages 91-108.
    7. González-Val, Rafael & Ramos, Arturo & Sanz-Gracia, Fernando, 2010. "On the best functions to describe city size distributions," MPRA Paper 21921, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • N0 - Economic History - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:wiw:wiwrsa:ersa12p106. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gunther Maier). General contact details of provider: http://www.ersa.org .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.