Zipf's law for cities: an empirical examination
We use data for metro areas in the United States, from the US Census for 1900 û 1990, to test the validity of Zipf''s Law for cities. Previous investigations are restricted to regressions of log size against log rank. In contrast, we use a nonparametric procedure to calculate local Zipf exponents from the mean and variance of city growth rates. This also allows us to test for the validity of Gibrat''s Law for city growth processes. Despite variation in growth rates as a function of city size, Gibrat''s Law does hold. In addition the local Zipf exponents are broadly consistent with Zipf''s Law. Deviations from Zipf''s Law are easily explained by deviations from Gibrat''s Law.
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- Harris Dobkins, Linda & Ioannides, Yannis M., 2001.
"Spatial interactions among U.S. cities: 1900-1990,"
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- Henry G. Overman & Yannis Menelaos Ioannides, 2001.
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LSE Research Online Documents on Economics
584, London School of Economics and Political Science, LSE Library.
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- Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
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