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A Study of the Distribution of the Number of Employees in Organizations Across Russian Cities Using Rank-Size Models
https://doi.org/10.34023/2313-6383-2025-32-5-75-87
Abstract
The paper argues the feasibility and applicability of power models, including three-parameter rank-size models, for analyzing the distribution of the number of employees in organizations and related socio-economic indicators across cities of the Russian Federation. Using municipal statistics for urban districts, the authors estimated the corresponding three-parameter Zipf – Pareto – Mandelbrot models for each year from 2021 to 2023. This approach made it possible to analyze the dynamics of competition between cities as elements of an urban system for limited resources: population (including the working-age population), labor force, and investments. A comparison of the estimated model parameters revealed varying degrees of balance within Russia's urban system in the distribution of employees, population, and investments across cities of different size, as well as key factors that determine imbalances in the distribution of key macroeconomic indicators among cities.
About the Authors
E. V. Zarova
Moscow Analytical Center, Moscow; Plekhanov Russian University of Economics; Scientific Research Institute for Socio-Economic Statistics of the Federal State Statistics Service (Statistics Research Institute of Rosstat)
Russian Federation
Russian Federation
Elena V. Zarova – Dr. Sci. (Econ.), Professor, Deputy Head of Department, Moscow Analytical Center; Professor, Department of Statistics, Plekhanov Russian University of Economics; Chief Researcher, Scientific Research Institute for Socio-Economic Statistics of the Federal State Statistics Service (Statistics Research Institute of Rosstat)
11, New Arbat Ave., Bldg. 1, Moscow, 119019
36, Stremyanny Lane, Moscow, 117997
44, Izmailovskoe Ave., Moscow, 105679
I. A. Zalmanov
Moscow Analytical Center
Russian Federation
Russian Federation
Ilya A. Zalmanov – Deputy Director General
11, New Arbat Ave., Bldg. 1, Moscow, 119019
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Review
For citations:
Zarova E.V., Zalmanov I.A. A Study of the Distribution of the Number of Employees in Organizations Across Russian Cities Using Rank-Size Models. Voprosy statistiki. 2025;32(5):75-87. (In Russ.) https://doi.org/10.34023/2313-6383-2025-32-5-75-87
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