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Zipf's law for cities: a cross country investigation

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  • Soo, Kwok Tong

Abstract

This paper assesses the empirical validity of Zipf¿s Law for cities, using new data on 73 countries and two estimation methods ¿ OLS and the Hill estimator. With either estimator, we reject Zipf¿s Law far more often than we would expect based on random chance; for 53 out of 73 countries using OLS, and for 30 out of 73 countries using the Hill estimator. The OLS estimates of the Pareto exponent are roughly normally distributed, but those of the Hill estimator are bimodal. Variations in the value of the Pareto exponent are better explained by political economy variables than by economic geography variables.

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  • Soo, Kwok Tong, 2004. "Zipf's law for cities: a cross country investigation," LSE Research Online Documents on Economics 19947, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:19947
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    1. Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, April.
    2. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Urban Structure and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 597-624.
    3. Rosen, Kenneth T. & Resnick, Mitchel, 1980. "The size distribution of cities: An examination of the Pareto law and primacy," Journal of Urban Economics, Elsevier, vol. 8(2), pages 165-186, September.
    4. John Luke Gallup & Jeffrey D. Sachs & Andrew D. Mellinger, 1999. "Geography and Economic Development," International Regional Science Review, , vol. 22(2), pages 179-232, August.
    5. Beck, Nathaniel & Katz, Jonathan N., 1995. "What To Do (and Not to Do) with Time-Series Cross-Section Data," American Political Science Review, Cambridge University Press, vol. 89(3), pages 634-647, September.
    6. Cheshire, Paul, 1999. "Trends in sizes and structures of urban areas," Handbook of Regional and Urban Economics, in: P. C. Cheshire & E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 3, chapter 35, pages 1339-1373, Elsevier.
    7. Linda Harris Dobkins & Yannis M. Ioannides, 1999. "Dynamic Evolution of the U.S. City Size Distribution," Discussion Papers Series, Department of Economics, Tufts University 9916, Department of Economics, Tufts University.
    8. Duranton, Gilles, 2002. "City size distributions as a consequence of the growth process," LSE Research Online Documents on Economics 20065, London School of Economics and Political Science, LSE Library.
    9. Gershon Alperovich, 1993. "An Explanatory Model of City-size Distribution: Evidence from Cross-country Data," Urban Studies, Urban Studies Journal Limited, vol. 30(9), pages 1591-1601, November.
    10. John Luke Gallup & Jeffrey D. Sachs & Andrew Mellinger, 1999. "Geography and Economic Development," CID Working Papers 1, Center for International Development at Harvard University.
    11. Alberto F. Ades & Edward L. Glaeser, 1995. "Trade and Circuses: Explaining Urban Giants," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 195-227.
    12. John Luke Gallup & Jeffrey D. Sachs & Andrew Mellinger, 1999. "Geography and Economic Development," CID Working Papers 01A, Center for International Development at Harvard University.
    13. Gallup, J.L. & Sachs, J.D. & Mullinger, A., 1999. "Geography and Economic Development," Papers 1, Chicago - Graduate School of Business.
    14. Robert Axtell and Richard Florida, 2001. "Emergent Cities: A Microeconomic Explanation for Zipf's Law," Computing in Economics and Finance 2001 154, Society for Computational Economics.
    15. Córdoba, Juan-Carlos, 2008. "On the distribution of city sizes," Journal of Urban Economics, Elsevier, vol. 63(1), pages 177-197, January.
    16. 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.
    17. Alperovich, Gershon, 1988. "A new testing procedure of the rank size distribution," Journal of Urban Economics, Elsevier, vol. 23(2), pages 251-259, March.
    18. P. C. Cheshire & E. S. Mills (ed.), 1999. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 3, number 3.
    19. Alperovich, Gershon, 1984. "The size distribution of cities: On the empirical validity of the rank-size rule," Journal of Urban Economics, Elsevier, vol. 16(2), pages 232-239, September.
    20. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    21. 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.
    22. Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 343-372, October.
    23. Gallup, John L. & Sachs, Jeffrey D. & Mellinger, Andrew, "undated". "Geography and Economic Development," Instructional Stata datasets for econometrics geodata, Boston College Department of Economics.
    24. 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.
    25. Huriot,Jean-Marie & Thisse,Jacques-François (ed.), 2000. "Economics of Cities," Cambridge Books, Cambridge University Press, number 9780521641906.
    26. Krugman, Paul, 1996. "Confronting the Mystery of Urban Hierarchy," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 399-418, December.
    27. Gallup, John & Sachs, Jeffrey, 1999. "Geography and Economic Development," Harvard Institute for International Development (HIID) Papers 294434, Harvard University, Kennedy School of Government.
    28. Boozer, Michael A., 1997. "Econometric Analysis of Panel DataBadi H. Baltagi Wiley, 1995," Econometric Theory, Cambridge University Press, vol. 13(5), pages 747-754, October.
    29. France Guerin-Pace, 1995. "Rank-Size Distribution and the Process of Urban Growth," Urban Studies, Urban Studies Journal Limited, vol. 32(3), pages 551-562, April.
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    More about this item

    Keywords

    Cities; Zipfs Law; Pareto distribution; Hill estimator;
    All these keywords.

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions

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