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Zipf’s and Gibrat’s laws for migrations

Author

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  • Jesús Clemente
  • Rafael González-Val
  • Irene Olloqui

Abstract

This paper analyses the evolution of the size distribution of the stock of emigrants in the period 1960-2000. Has the distribution of the stock of emigrants changed or has there been some convergence? This is the question discussed in this work. In particular, we are interested in testing the fulfillment of two empirical regularities studied in urban economics: Zipf’s law, which postulates that the product between the rank and size of a population is constant; and Gibrat’s law, witch states that growth rate of a variable is independent of its initial size. We use parametric and non-parametric methods and apply them to absolute (stock of emigrants) and relative (migration density, defined as the quotient between the stock of emigrants of a country and its total population)measurements.
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Suggested Citation

  • Jesús Clemente & Rafael González-Val & Irene Olloqui, 2011. "Zipf’s and Gibrat’s laws for migrations," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 47(1), pages 235-248, August.
    • Handle: RePEc:spr:anresc:v:47:y:2011:i:1:p:235-248
    DOI: 10.1007/s00168-010-0367-7
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    1. Overman, Henry G. & Ioannides, Yannis M., 2001. "Cross-Sectional Evolution of the U.S. City Size Distribution," Journal of Urban Economics, Elsevier, vol. 49(3), pages 543-566, May.
    2. Enrico Spolaore & Romain Wacziarg, 2005. "Borders and Growth," Journal of Economic Growth, Springer, vol. 10(4), pages 331-386, December.
    3. Rafael González-Val & Marcos Sanso-Navarro, 2010. "Gibrat’s law for countries," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(4), pages 1371-1389, September.
    4. Enrico Spolaore & Alberto Alesina & Romain Wacziarg, 2000. "Economic Integration and Political Disintegration," American Economic Review, American Economic Association, vol. 90(5), pages 1276-1296, December.
    5. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    6. 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.
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    8. Danny Quah, 1993. "Galton's Fallacy and Tests of the Convergence Hypothesis (Now published in Scandinavian Journal of Economics 95 (4), 1993, pp.427-443.)," STICERD - Econometrics Paper Series 265, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    9. 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.
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    12. Rose, Andrew, 2005. "Cities and Countries," CEPR Discussion Papers 5235, C.E.P.R. Discussion Papers.
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    14. Larramona, Gemma & Sanso, Marcos, 2006. "Migration dynamics, growth and convergence," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 2261-2279, November.
    15. Quah, D., 1990. "Galton'S Fallacy And The Tests Of The Convergence Hypothesis," Working papers 552, Massachusetts Institute of Technology (MIT), Department of Economics.
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    Cited by:

    1. Masood Gheasi & Peter Nijkamp & Jacques Poot, 2013. "Special issue on international migration: editorial introduction," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 51(1), pages 1-5, August.

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    More about this item

    Keywords

    J61; R11; R12;
    All these keywords.

    JEL classification:

    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes

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