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Zipf’S Law: Main Issues In Empirical Work

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  • Rafael GONZÀLEZ-VAL

    (Universitat de Barcelona & Institut d'Economia de Barcelona)

Abstract

One of the stylised facts in Urban Economics is Zipf’s law, according to which city size distribution in many countries can be approximated by a Pareto distribution, whose exponent is equal to one. In this paper we point out the three main issues in any empirical work on city size distribution and Zipf’s law : city definition, sample size, and the choice of the estimator. We review the more recent developments, especially those related to the relationship between the geographical unit chosen and sample size, and the features of the different methods to estimate the Pareto exponent. We illustrate the arguments, providing empirical examples using actual data from the city size distribution in the United States.

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Bibliographic Info

Article provided by Region et Developpement, LEAD, Universite du Sud - Toulon Var in its journal Région et Développement.

Volume (Year): 36 (2012)
Issue (Month): ()
Pages: 147-164

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Handle: RePEc:tou:journl:v:36:y:2012:p:147-164

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Related research

Keywords: CITY SIZE DISTRIBUTION; ZIPF’S LAW;

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  1. Fan, C Cindy & Casetti, Emilio, 1994. "The Spatial and Temporal Dynamics of U.S. Regional Income Inequality, 1950-1989," The Annals of Regional Science, Springer, vol. 28(2), pages 177-96.
  2. William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
  3. 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.
  4. Urzua, Carlos M., 2000. "A simple and efficient test for Zipf's law," Economics Letters, Elsevier, vol. 66(3), pages 257-260, March.
  5. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
  6. Nitsch, Volker, 2004. "Zipf zipped," Discussion Papers 2004/16, Free University Berlin, School of Business & Economics.
  7. 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.
  8. Yannis M. Ioannides & Henry G. Overman, 1999. "Cross-Sectional Evolution of the U.S. City Size Distribution," Discussion Papers Series, Department of Economics, Tufts University 9926, Department of Economics, Tufts University.
  9. Rafael, González-Val, 2008. "Deviations from Zipf’s Law for American cities: an empirical examination," MPRA Paper 11504, University Library of Munich, Germany.
  10. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
  11. 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.
  12. Yoshihiko Nishiyama & Susumu Osada & Yasuhiro Sato, 2008. "OLS ESTIMATION AND THE "t" TEST REVISITED IN RANK-SIZE RULE REGRESSION," Journal of Regional Science, Wiley Blackwell, vol. 48(4), pages 691-716.
  13. Naldi, M., 2003. "Concentration indices and Zipf's law," Economics Letters, Elsevier, vol. 78(3), pages 329-334, March.
  14. Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 343-372, October.
  15. González-Val, Rafael & Sanso-Navarro, Marcos, 2008. "Gibrat’s law for countries," MPRA Paper 9733, University Library of Munich, Germany.
  16. Hern�n D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hern�n 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 2205-25, August.
  17. Garmestani, Ahjond S. & Allen, Craig R. & Gallagher, Colin M., 2008. "Power laws, discontinuities and regional city size distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 209-216, October.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. Guy Michaels & Ferdinand Rauch & Stephen Redding, 2008. "Urbanisation and structural transformation," LSE Research Online Documents on Economics 25495, London School of Economics and Political Science, LSE Library.
  23. M. Goldstein & S. Morris & G. Yen, 2004. "Problems with fitting to the power-law distribution," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 41(2), pages 255-258, 09.
  24. Xavier Gabaix & Rustam Ibragimov, 2007. "Rank-1/2: A Simple Way to Improve the OLS Estimation of Tail Exponents," NBER Technical Working Papers 0342, National Bureau of Economic Research, Inc.
  25. Giesen, Kristian & Suedekum, Jens, 2009. "Zipf's Law for Cities in the Regions and the Country," IZA Discussion Papers 3928, Institute for the Study of Labor (IZA).
  26. Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-83, September.
  27. Y. Malevergne & V. Pisarenko & D. Sornette, . "Gibrat’s law for cities: uniformly most powerful unbiased test of the Pareto against the lognormal," Swiss Finance Institute Research Paper Series 09-40, Swiss Finance Institute.
  28. Edward L Glaeser & Jesse M Shapiro, 2003. "Urban Growth in the 1990s: Is City Living Back?," Journal of Regional Science, Wiley Blackwell, vol. 43(1), pages 139-165.
  29. Wheaton, William C & Shishido, Hisanobu, 1981. "Urban Concentration, Agglomeration Economies, and the Level of Economic Development," Economic Development and Cultural Change, University of Chicago Press, vol. 30(1), pages 17-30, October.
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