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Volume 2014 (2014), Article ID 498125, 6 pages
Evolutionary Model of the City Size Distribution
EBC Hochschule, Alexanderplatz 1, 10178 Berlin, Germany
Received 17 February 2014; Accepted 12 March 2014; Published 1 April 2014
Academic Editors: J. Le Gallo and E. Yeldan
Copyright © 2014 Joachim Kaldasch. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- G. Zipf, Human Behavior and the Principle of Last Effort, Addison-Wesley, Reading, Mass, USA, 1949.
- G. R. Carroll, “National city-size distributions: what do we know after 67 years of research?” Progress in Human Geography, vol. 6, no. 1, pp. 1–43, 1982.
- H. A. Makse, S. Havlin, and H. E. Stanley, “Modelling urban growth patterns,” Nature, vol. 377, no. 6550, pp. 608–612, 1995.
- Y. M. Ioannides and H. G. Overman, “Zipf's law for cities: an empirical examintion,” Regional Science and Urban Economics, vol. 33, no. 2, pp. 127–137, 2003.
- A. S. Garmestani, C. R. Allen, and C. M. Gallagher, “Power laws, discontinuities and regional city size distributions,” Journal of Economic Behavior and Organization, vol. 68, no. 1, pp. 209–216, 2008.
- K. Giesen, A. Zimmermann, and J. Suedekum, “The size distribution across all cities—double Pareto lognormal strikes,” Journal of Urban Economics, vol. 68, no. 2, pp. 129–137, 2010.
- A. Saichev, D. Sornette, and Y. Malevergne, Theory of Zipf's Law and Beyond, Springer, Berlin, Germany, 2011.
- Q. Zhang and D. Sornette, “Empirical test of the origin of Zipf's law in growing social networks,” Physica A: Statistical Mechanics and Its Applications, vol. 390, no. 23-24, pp. 4124–4130, 2011.
- H. D. Rozenfeld, D. Rybski, X. Gabaix, and H. A. Makse, “The area and population of cities: new insights from a different perspective on cities,” American Economic Review, vol. 101, no. 5, pp. 2205–2225, 2011.
- Y. Ioannides and S. Skouras, “US city size distribution: robustly Pareto, but only in the tail,” Journal of Urban Economics, vol. 73, pp. 18–29, 2013.
- J. Eeckhout, “Gibrat's law for (all) cities,” The American Economic Review, vol. 94, no. 5, pp. 1429–1451, 2004.
- J. Eeckhout, “Gibrat's law for (all) cities: reply,” American Economic Review, vol. 99, no. 4, pp. 1676–1683, 2009.
- E. H. Decker, A. J. Kerkhoff, and M. E. Moses, “Global patterns of city size distributions and their fundamental drivers,” PLoS ONE, vol. 2, no. 9, article e934, 2007.
- Y. Malevergne, V. Pisarenko, and D. Sornette, “Testing the Pareto against the lognormal distributions with the uniformly most powerful unbiased test applied to the distribution of cities,” Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, vol. 83, no. 3, Article ID 036111, 2011.
- B. J. L. Berry and A. Okulicz-Kozaryn, “The city size distribution debate: resolution for US urban regions and megalopolitan areas,” Cities, vol. 29, supplement 1, pp. S17–S23, 2012.
- H. Simon, “On a class of skew distribution functions,” Biometrika, vol. 42, pp. 425–440, 1955.
- X. Gabaix, “Zipf's law for cities: an explanation,” Quarterly Journal of Economics, vol. 114, no. 3, pp. 739–767, 1999.
- X. Gabaix, “Zipf's law and the growth of cities,” The American Economic Review, vol. 89, no. 2, pp. 129–132, 1999.
- X. Gabaix and Y. Ioannides, “The evolution of city size distributions,” in Handbook of Regional and Urban Economics, V. Henderson and J. Thisse, Eds., vol. 4, North-Holland, Amsterdam, The Netherlands, 2004.
- J. C. Córdoba, “A generalized Gibrat's Law for cities,” International Economics Review, vol. 49, pp. 1463–1468, 2008.
- M. Levy, “Gibrat's law for (All) cities: comment,” The American Economic Review, vol. 99, no. 4, pp. 1672–1675, 2009.
- S. Lee and Q. Li, “Uneven landscapes and city size distributions,” Journal of Urban Economics, vol. 78, pp. 19–29, 2013.
- P. Krugman, “Confronting the mystery of urban hierarchy,” Journal of the Japanese and International Economies, vol. 10, no. 4, pp. 399–418, 1996.
- R. Gibrat, Les Inegalites Economiques, Sirey, Paris, France, 1913.
- H. D. Rozenfeld, D. Rybski, J. S. Andrade Jr., M. Batty, H. E. Stanley, and H. A. Makse, “Laws of population growth,” Proceedings of the National Academy of Sciences of the United States of America, vol. 105, no. 48, pp. 18702–18707, 2008.
- F. Schweitzer and G. Silverberg, Eds., Evolution and Self-Organization in Economics, Duncker & Humblot, Berlin, Germany, 1998.
- R. Feistel and W. Ebeling, Physics of Self-Organization and Evolution, Wiley-VCH, New York, NY, USA, 2011.
- J. Kaldasch, “Evolutionary model of the growth and size of firms,” Physica A: Statistical Mechanics and Its Applications, vol. 391, no. 14, pp. 3751–3769, 2012.
- J. Kaldasch, “Evolutionary model of the personal income distribution,” Physica A: Statistical Mechanics and Its Applications, vol. 391, no. 22, pp. 5628–5642, 2012.
- J. Kaldasch, “Evolutionary model of the bank size distribution,” Economics, 2014.
- P. Richmond and S. Solomon, “Power-laws are Boltzmann laws in disguise,” International Journal of Modern Physics C, vol. 12, no. 3, pp. 333–343, 2001.
- K. T. Rosen and M. Resnick, “The size distribution of cities: an examination of the Pareto law and primacy,” Journal of Urban Economics, vol. 8, no. 2, pp. 165–186, 1980.
- S. Findeisen and J. Südekum, “Industry churning and the evolution of cities: evidence for Germany,” Journal of Urban Economics, vol. 64, no. 2, pp. 326–339, 2008.