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On the parametric description of the French, German, Italian and Spanish city size distributions

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  • Puente-Ajovin, Miguel
  • Ramos, Arturo

Abstract

We study the parametric description of the city size distribution of four European countries: France, Germany, Italy and Spain. The parametric models used are the lognormal, the double Pareto lognormal, the normal-Box-Cox (defined in this paper) and the threshold double Pareto Singh--Maddala (introduced in a cited recent paper when studying US city size). The results are quite regular. The preferred model is always the threshold double Pareto Singh--Maddala in the four countries. However, the dPln is not rejected always for the case of France, and in the case of Italy the dPln is the runner-up distribution. These results complement those obtained in a cited recent paper which study the US places' city size distribution.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 55285.

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Date of creation: 12 Apr 2014
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Handle: RePEc:pra:mprapa:55285

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Keywords: European city size distributions; population thresholds; lower and upper tails; new statistical distribution;

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References

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  1. Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia, 2013. "The accuracy of graphs to describe size distributions," Applied Economics Letters, Taylor & Francis Journals, Taylor & Francis Journals, vol. 20(17), pages 1580-1585, November.
  2. Yannis Menelaos Ioannides & Henry G. Overman, 2003. "Zipf’s law for cities : an empirical examination," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 583, London School of Economics and Political Science, LSE Library.
  3. Kristian GIESEN & Jens SÜDEKUM, 2012. "The French Overall City Size Distribution," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 107-126.
  4. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, American Economic Association, vol. 94(5), pages 1429-1451, December.
  5. Giesen, Kristian & Zimmermann, Arndt & Suedekum, Jens, 2010. "The size distribution across all cities - Double Pareto lognormal strikes," Journal of Urban Economics, Elsevier, Elsevier, vol. 68(2), pages 129-137, September.
  6. Südekum, Jens & Giesen, Kristian, 2013. "City Age and City Size," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order, Verein für Socialpolitik / German Economic Association 79996, Verein für Socialpolitik / German Economic Association.
  7. González-Val, Rafael & Ramos, Arturo & Sanz, Fernando & Vera-Cabello, María, 2013. "Size Distributions for All Cities: Which One is Best?," MPRA Paper, University Library of Munich, Germany 44314, University Library of Munich, Germany.
  8. Kwok Tong Soo, 2004. "Zipfs Law for Cities: A Cross Country Investigation," CEP Discussion Papers, Centre for Economic Performance, LSE dp0641, Centre for Economic Performance, LSE.
  9. Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, Oxford University Press, vol. 3(4), pages 343-372, October.
  10. Ramos, Arturo & Sanz-Gracia, Fernando & González-Val, Rafael, 2013. "A new framework for the US city size distribution: Empirical evidence and theory," MPRA Paper, University Library of Munich, Germany 52190, University Library of Munich, Germany.
  11. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, Elsevier, vol. 74(1), pages 15-19, December.
  12. Ioannides, Yannis & Skouras, Spyros, 2013. "US city size distribution: Robustly Pareto, but only in the tail," Journal of Urban Economics, Elsevier, Elsevier, vol. 73(1), pages 18-29.
  13. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, Econometric Society, vol. 44(5), pages 963-70, September.
  14. Reed, William J., 2003. "The Pareto law of incomes—an explanation and an extension," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 319(C), pages 469-486.
  15. William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, Wiley Blackwell, vol. 42(1), pages 1-17.
  16. González-Val, Rafael & Lanaspa, Luis & Sanz-Gracia, Fernando, 2013. "Gibrat’s law for cities, growth regressions and sample size," Economics Letters, Elsevier, Elsevier, vol. 118(2), pages 367-369.
  17. Anderson, Gordon & Ge, Ying, 2005. "The size distribution of Chinese cities," Regional Science and Urban Economics, Elsevier, Elsevier, vol. 35(6), pages 756-776, November.
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