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Zipf's law, Gibrat's law and Cointegration

Author

Listed:
  • Aurélie Lalanne

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

  • Martin Zumpe

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper examines the methods to detect the nature of the urban growth processes. It seems that cointegration testing enables to disentangle two versions of Gibrat’s law: a first one with growth shocks that are iid across time and cities (implying convergence of the city-size distribution towards Zipf’s law), and an alternative one with growth shocks that are only iid over time (implying conservation of the initial structure of the city size distribution).
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Aurélie Lalanne & Martin Zumpe, 2015. "Zipf's law, Gibrat's law and Cointegration," Post-Print hal-02479896, HAL.
    • Handle: RePEc:hal:journl:hal-02479896
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    Cited by:

    1. is not listed on IDEAS
    2. Aurélie Lalanne & Martin Zumpe, 2020. "Time-Series Based Empirical Assessment of Random Urban Growth: New Evidence from France," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 18(4), pages 911-926, December.

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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