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Gibrat’s law for countries

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  • González-Val, Rafael
  • Sanso-Navarro, Marcos

Abstract

If the population of a given country evolves according to Gibrat'�s Law, its growth rate will be independent of its initial size. This short paper further investigates this empirical regularity by the application of a suitable panel unit root test and non-parametric methods. The evidence regarding its fulfilment is weaker than that previously found.

Suggested Citation

  • González-Val, Rafael & Sanso-Navarro, Marcos, 2008. "Gibrat’s law for countries," MPRA Paper 9733, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:9733
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    1. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    2. Klaus Jaeger & Wolfgang Kuhle, 2009. "The optimum growth rate for population reconsidered," Journal of Population Economics, Springer;European Society for Population Economics, vol. 22(1), pages 23-41, January.
    3. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    4. Paul Cheshire & Stefano Magrini, 2006. "Population growth in European cities: Weather matters - but only nationally," Regional Studies, Taylor & Francis Journals, vol. 40(1), pages 23-37.
    5. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    6. Eaton, Jonathan & Eckstein, Zvi, 1997. "Cities and growth: Theory and evidence from France and Japan," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 443-474, August.
    7. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    8. Anderson, Gordon & Ge, Ying, 2005. "The size distribution of Chinese cities," Regional Science and Urban Economics, Elsevier, vol. 35(6), pages 756-776, November.
    9. Luis Lanaspa & Fernando Pueyo & Fernando Sanz, 2003. "The Evolution of Spanish Urban Structure during the Twentieth Century," Urban Studies, Urban Studies Journal Limited, vol. 40(3), pages 567-580, March.
    10. Enrico Santarelli (ed.), 2006. "Entrepreneurship, Growth, and Innovation," International Studies in Entrepreneurship, Springer, number 978-0-387-32314-5, December.
    11. Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-1683, September.
    12. Gabaix, Xavier & Ioannides, Yannis M., 2004. "The evolution of city size distributions," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 53, pages 2341-2378, Elsevier.
    13. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    14. Henderson, J. Vernon & Wang, Hyoung Gun, 2007. "Urbanization and city growth: The role of institutions," Regional Science and Urban Economics, Elsevier, vol. 37(3), pages 283-313, May.
    15. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2005. "Testing for PPP: Should we use panel methods?," Empirical Economics, Springer, vol. 30(1), pages 77-91, January.
    16. Rose, Andrew, 2005. "Cities and Countries," CEPR Discussion Papers 5235, C.E.P.R. Discussion Papers.
    17. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
    18. Ioannides, Yannis M. & Overman, Henry G., 2003. "Zipf's law for cities: an empirical examination," Regional Science and Urban Economics, Elsevier, vol. 33(2), pages 127-137, March.
    19. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    20. Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 343-372, October.
    21. Davide Furceri, 2008. "Zipf's law and world income distribution," Applied Economics Letters, Taylor & Francis Journals, vol. 15(12), pages 921-923.
    22. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    23. Alesina, Alberto & Spolaore, Enrico & Wacziarg, Romain, 2005. "Trade, Growth and the Size of Countries," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 23, pages 1499-1542, Elsevier.
    24. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    25. repec:ebl:ecbull:v:15:y:2003:i:6:p:1-7 is not listed on IDEAS
    26. J. V. Henderson & J. F. Thisse (ed.), 2004. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 4, number 4.
    27. Corrado Di Guilmi & Mauro Gallegati & Edoardo Gaffeo, 2003. "Power Law Scaling in the World Income Distribution," Economics Bulletin, AccessEcon, vol. 15(6), pages 1-7.
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    Citations

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    Cited by:

    1. Jesús Clemente & Rafael González-Val & Irene Olloqui, 2011. "Zipf’s and Gibrat’s laws for migrations," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 47(1), pages 235-248, August.
    2. Daniel ARRIBAS-BEL & Fernando SANZ GRACIA & Domingo P. XIMENEZ-DE-EMBUN, 2012. "Kangaroos, Cities And Space: A First Approach To The Australian Urban System," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 165-187.
    3. Aloysius Gunadi Brata & Henri L.F. de Groot & Piet Rietveld, 2013. "Dynamics in Aceh and North Sumatera after the Twin Disasters: An Investigation into the Relevance of the Locational Fundamental Theory," Tinbergen Institute Discussion Papers 13-115/VIII, Tinbergen Institute.
    4. Kwok Tong Soo, 2014. "Zipf, Gibrat and geography: Evidence from China, India and Brazil," Papers in Regional Science, Wiley Blackwell, vol. 93(1), pages 159-181, March.
    5. Rafael GONZÀLEZ-VAL, 2012. "Zipf’S Law: Main Issues In Empirical Work," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 147-164.
    6. Rafael González‐Val, 2010. "The Evolution Of U.S. City Size Distribution From A Long‐Term Perspective (1900–2000)," Journal of Regional Science, Wiley Blackwell, vol. 50(5), pages 952-972, December.
    7. Drugova, Tatiana & Akhundjanov, Sherzod B., 2020. "Growth Process of US Agricultural Land Size: Testing the Law of Proportionate Effect," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304250, Agricultural and Applied Economics Association.

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    More about this item

    Keywords

    Gibrat�'s Law; Country Size; Non-stationary Panels; Non-parametric Methods;
    All these keywords.

    JEL classification:

    • F00 - International Economics - - General - - - General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • 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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