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The Area and Population of Cities: New Insights from a Different Perspective on Cities

Author

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  • Hernán D. Rozenfeld
  • Diego Rybski
  • Xavier Gabaix
  • Hernán A. Makse

Abstract

The distribution of the population of cities has attracted a great deal of attention, in part because it sharply constrains models of local growth. However, to this day, there is no consensus on the distribution below the very upper tail, because available data need to rely on the "legal" rather than "economic" definition of cities for medium and small cities. To remedy this difficulty, in this work we construct cities "from the bottom up" by clustering populated areas obtained from high-resolution data. This method allows us to investigate the population and area of cities for urban agglomerations of all sizes. We find that Zipf's law (a power law with exponent close to 1) for population holds for cities as small as 12,000 inhabitants in the USA and 5,000 inhabitants in Great Britain. In addition the distribution of city areas is also close to a Zipf's law. We provide a parsimonious model with endogenous city area that is consistent with those findings.

Suggested Citation

  • Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2009. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," NBER Working Papers 15409, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:15409
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    References listed on IDEAS

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    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers
    • 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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