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A new framework for the US city size distribution: Empirical evidence and theory

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  • Ramos, Arturo
  • Sanz-Gracia, Fernando
  • González-Val, Rafael

Abstract

We study the US city size distribution using the Census places data, without size restriction, for the period (1900-2010). Also, we use the recently introduced US City Clustering Algorithm (CCA) data for 1991 and 2000. We compare the lognormal, two distributions named after Ioannides and Skouras (2013) and the double Pareto lognormal with two newly introduced distributions. The empirical results are overwhelming: One of the new distributions widely outperform any of the previously used density functions for each type of data. We also develop a theory which generates the new distributions based on the standard geometric Brownian motion for the population in the short term. We propose some extensions of the theory in order to deal with the long term empirical features.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 52190.

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Date of creation: 13 Dec 2013
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Handle: RePEc:pra:mprapa:52190

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Keywords: US city size distribution; population thresholds; lower and upper tail; new statistical distributions;

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References

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Cited by:
  1. Puente-Ajovin, Miguel & Ramos, Arturo, 2014. "On the parametric description of the French, German, Italian and Spanish city size distributions," MPRA Paper, University Library of Munich, Germany 55285, University Library of Munich, Germany.

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