Izvestiya of Saratov University.

Economics. Management. Law

ISSN 1994-2540 (Print)
ISSN 2542-1956 (Online)

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Spatial Analysis of Growth Rates of Cities Russia

Balash Olga Sergeevna, Saratov State University

Purpose. We discuss the theoretical principles of the Zipf law for the distribution of cities. Empirical results. The results of the econometric analysis of the empirical Zipf's law on Russian census data for 1897 and 2010. As well as the results of the econometric analysis of the Zipf law separately for medium and large towns and cities and industrial communities with populations of less than 45,000 people. Results. Explores the idea of the Zipf law through the implementation of the law Gibrat. Analyzes the logarithms of the growth of urban growth of cities in Russia. The hypothesis tested in accordance with the rate of urban growth in their territorial connection. Ranked Moran's spatial autocorrelation coefficient on the growth rate of any city in Russia. Calculate the spatial autoregression Moran for twenty large Russian cities. In addition, to visualize the results of research are constructed spatial Moran scatterplot of the logarithms growth rates of Russian cities. Conclusion. Empirical studies have confirmed the distribution of Russian cities by the ratio of their rank and size, and spatial clustering of Russian cities in the rate of population growth. 

  1. Zipf G. K. Human behavior and the principle of least effort. Cambridge, MA, Addison-Wesley Press, 1949.
  2. Ioannides Y. M. & Overman H. G. Zipf’s Law for cities: An empirical investigation. Regional Science and Urban Economics, 2003, no 33(1), pp. 127–137.
  3. Rosen K. T. & Resnick M. The size distribution of cities, An examination of the Pareto Law and primacy, Journal of Urban Economics, 1980, no. 8(2), pр. 165–186.
  4. Gabaix X. Zipf’s Law for Cities: An Explanation. The Quarterly Journal of Economics, 1999, vol. 114, no. 3, August, pp. 739–767.
  5. Gabaix X. Zipf’s Law and the Growth of Cities. The American Economic Review, Papers and Proceedings, 1999, May, pр. 129–132.
  6. Nitsch V. Zipf zipped. Journal of Urban Economics. 2005, no. 57(1), pр. 86–100.
  7. Rose A. K. Cities and countries. Journal of Money, Credit and Banking, 2006, no. 38(8), pр. 2225–2245.
  8. Soo K. T. Zipf’s Law for cities: A cross-country investigation. Regional Science and Urban Economics, 2005, no. 35(3), pр. 239–263.
  9. Gibrat R. Les ine´galite´s e´conomiques; applications: aux ine´galite´s des richesses, a` la concentration des entreprises, aux populations des villes, aux statistiques des familles, etc., d’une loi nouvelle, la loi de l’effet proportionnel. Paris, Librairie du Recueil Sirey, 1931.