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Zipf's Law for Cities in the Regions and the Country

  • Giesen, Kristian


    (University of Duisburg-Essen)

  • Suedekum, Jens


    (Heinrich Heine University Düsseldorf)

The salient rank-size rule known as Zipf's law is not only satisfied for Germany's national urban hierarchy, but also for the city size distributions in single German regions. To analyze this phenomenon, we build on the insights by Gabaix (1999) that Zipf's law follows from a stochastic growth process. In particular, Gabaix shows that if the regions follow Gibrat's law, we should observe Zipf at both the regional and the national level. This theory has never been addressed empirically. Using non-parametric techniques we find that Gibrat's law holds in each German region, irrespective of how "regions" are defined. In other words, Gibrat's law and therefore Zipf's law tend to hold everywhere in space.

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Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 3928.

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Length: 24 pages
Date of creation: Jan 2009
Date of revision:
Publication status: published in: Journal of Economic Geography, 2011, 11 (4), 667-686
Handle: RePEc:iza:izadps:dp3928
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