Clemente, Jesús and González-Val, Rafael and Olloqui, Irene (2010): Zipf’s and Gibrat’s laws for migrations. Forthcoming in: The Annals of Regional Science
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This paper analyzes the evolution of the size distribution of the stock of immigrants in the period 1960–2000. In particular, we are interested in testing the validity of two empirical regularities: Zipf’s law, which postulates that the product between the rank and size of a population is constant; and Gibrat’s law, according to which the growth rate of a variable is independent of its initial size. We use parametric and nonparametric methods and apply them to absolute (stock of immigrants) and relative (migration density, defined as the quotient between the stock of immigrants of a country and its total population) measurements. We find that both the stock of immigrants and migration density follow similar size distributions to those of cities and of countries. Contrary to what traditional migrations models predict, growth in the stock of immigrants is independent of the initial stock. Moreover, the growth of migration density shows a divergent behaviour, which could be explained by the lower birth rates of host countries and the reduction in the cost of emigration produced by the presence of a previous stock of immigrants in the country.
|Item Type:||MPRA Paper|
|Original Title:||Zipf’s and Gibrat’s laws for migrations|
|Keywords:||Migration distribution, Zipf´s law, Gibrat´s law|
|Subjects:||J - Labor and Demographic Economics > J6 - Mobility, Unemployment, and Vacancies > J61 - Geographic Labor Mobility; Immigrant Workers
R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R12 - Size and Spatial Distributions of Regional Economic Activity
R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R11 - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
|Depositing User:||Rafael González-Val|
|Date Deposited:||11. Jan 2010 01:46|
|Last Modified:||12. Feb 2013 20:00|
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Zipf’s and Gibrat’s laws for migrations. (deposited 28. Jul 2008 00:14)
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