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Are the log-growth rates of city sizes normally distributed? Empirical evidence for the US

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  • Ramos, Arturo

Abstract

We study the decennial log-growth population rate distributions of the US incorporated places (resp., all places) for the period 1990-2000 (resp. 2000-2010) and the recently constructed US City Clustering Algorithm (CCA) population data in the period 1991-2000. It is obtained an excellent parametric description of these log-growth rates by means of a newly introduced distribution called “double mixture exponential Generalized Beta 2”. The normal distribution is not the one empirically observed for the same datasets.

Suggested Citation

  • Ramos, Arturo, 2015. "Are the log-growth rates of city sizes normally distributed? Empirical evidence for the US," MPRA Paper 65584, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:65584
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    File URL: https://mpra.ub.uni-muenchen.de/65584/1/MPRA_paper_65584.pdf
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    References listed on IDEAS

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    1. Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia, 2013. "The accuracy of graphs to describe size distributions," Applied Economics Letters, Taylor & Francis Journals, vol. 20(17), pages 1580-1585, November.
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    15. Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia & María Vera-Cabello, 2015. "Size distributions for all cities: Which one is best?," Papers in Regional Science, Wiley Blackwell, vol. 94(1), pages 177-196, March.
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    18. Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
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    Cited by:

    1. Puente-Ajovin, Miguel & Ramos, Arturo, 2015. "An improvement over the normal distribution for log-growth rates of city sizes: Empirical evidence for France, Germany, Italy and Spain," MPRA Paper 67471, University Library of Munich, Germany.
    2. Ramos, Arturo, 2015. "Log-growth distributions of US city sizes and non-Lévy processes," MPRA Paper 66561, University Library of Munich, Germany.

    More about this item

    Keywords

    urban log-growth rates distribution; exponential distribution; exponential Generalized Beta 2 distribution; US population log-growth rates;

    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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