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Zipf’s and Gibrat’s laws for migrations

  • Jesús Clemente

    ()

  • Rafael González-Val

    ()

  • Irene Olloqui

    ()

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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File URL: http://hdl.handle.net/10.1007/s00168-010-0367-7
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Article provided by Springer in its journal The Annals of Regional Science.

Volume (Year): 47 (2011)
Issue (Month): 1 (August)
Pages: 235-248

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Handle: RePEc:spr:anresc:v:47:y:2011:i:1:p:235-248
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  1. Spolaore, Enrico & Wacziarg, Romain, 2005. "Borders and Growth," CEPR Discussion Papers 5202, C.E.P.R. Discussion Papers.
  2. Henry G. Overman & Yannis Ioannides, 2000. "Cross sectional evolution of the US city size distribution," LSE Research Online Documents on Economics 20137, London School of Economics and Political Science, LSE Library.
  3. Rafael González-Val & Marcos Sanso-Navarro, 2010. "Gibrat’s law for countries," Journal of Population Economics, Springer, vol. 23(4), pages 1371-1389, September.
  4. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
  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. Carrington, William J & Detragiache, Enrica & Vishwanath, Tara, 1996. "Migration with Endogenous Moving Costs," American Economic Review, American Economic Association, vol. 86(4), pages 909-30, September.
  7. Andrew K. Rose, 2005. "Cities and Countries," NBER Working Papers 11762, National Bureau of Economic Research, Inc.
  8. Alberto Alesina & Enrico Spolaore & Romain Wacziarg, 1997. "Economic Integration and Political Disintegration," NBER Working Papers 6163, National Bureau of Economic Research, Inc.
  9. Gemma Larramona & Marcos Sanso, 2005. "Migration dynamics, growth and convergence," Documentos de Trabajo dt2005-09, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza.
  10. 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.
  11. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
  12. Quah, Danny, 1993. " Galton's Fallacy and Tests of the Convergence Hypothesis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 427-43, December.
  13. Ghatak, Subrata & Levine, Paul & Price, Stephen Wheatley, 1996. " Migration Theories and Evidence: An Assessment," Journal of Economic Surveys, Wiley Blackwell, vol. 10(2), pages 159-98, June.
  14. Ioannides, Yannis M. & Overman, Henry G., 2003. "Zipf's law for cities: an empirical examination," Regional Science and Urban Economics, Elsevier, vol. 33(2), pages 127-137, March.
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