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Urban Scaling and the Production Function for Cities

Author

Listed:
  • José Lobo
  • Luís M A Bettencourt
  • Deborah Strumsky
  • Geoffrey B West
Abstract
The factors that account for the differences in the economic productivity of urban areas have remained difficult to measure and identify unambiguously. Here we show that a microscopic derivation of urban scaling relations for economic quantities vs. population, obtained from the consideration of social and infrastructural properties common to all cities, implies an effective model of economic output in the form of a Cobb-Douglas type production function. As a result we derive a new expression for the Total Factor Productivity (TFP) of urban areas, which is the standard measure of economic productivity per unit of aggregate production factors (labor and capital). Using these results we empirically demonstrate that there is a systematic dependence of urban productivity on city population size, resulting from the mismatch between the size dependence of wages and labor, so that in contemporary US cities productivity increases by about 11% with each doubling of their population. Moreover, deviations from the average scale dependence of economic output, capturing the effect of local factors, including history and other local contingencies, also manifest surprising regularities. Although, productivity is maximized by the combination of high wages and low labor input, high productivity cities show invariably high wages and high levels of employment relative to their size expectation. Conversely, low productivity cities show both low wages and employment. These results shed new light on the microscopic processes that underlie urban economic productivity, explain the emergence of effective aggregate urban economic output models in terms of labor and capital inputs and may inform the development of economic theory related to growth.

Suggested Citation

  • José Lobo & Luís M A Bettencourt & Deborah Strumsky & Geoffrey B West, 2013. "Urban Scaling and the Production Function for Cities," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-10, March.
    • Handle: RePEc:plo:pone00:0058407
    DOI: 10.1371/journal.pone.0058407
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    References listed on IDEAS

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    1. Bettencourt, Luis M.A. & Lobo, Jose & Strumsky, Deborah, 2007. "Invention in the city: Increasing returns to patenting as a scaling function of metropolitan size," Research Policy, Elsevier, vol. 36(1), pages 107-120, February.
    2. Duranton, Gilles & Puga, Diego, 2004. "Micro-foundations of urban agglomeration economies," 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 48, pages 2063-2117, Elsevier.
    3. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2011. "The identification of agglomeration economies," Journal of Economic Geography, Oxford University Press, vol. 11(2), pages 253-266, March.
    4. Rosenthal, Stuart S. & Strange, William C., 2001. "The Determinants of Agglomeration," Journal of Urban Economics, Elsevier, vol. 50(2), pages 191-229, September.
    5. Jaison R. Abel & Ishita Dey & Todd M. Gabe, 2012. "Productivity And The Density Of Human Capital," Journal of Regional Science, Wiley Blackwell, vol. 52(4), pages 562-586, October.
    6. Glaeser, Edward L & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1992. "Growth in Cities," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1126-1152, December.
      • Edward L. Glaeser & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1991. "Growth in Cities," NBER Working Papers 3787, National Bureau of Economic Research, Inc.
      • Glaeser, Edward Ludwig & Kallal, Hedi D. & Scheinkman, Jose A. & Shleifer, Andrei, 1992. "Growth in Cities," Scholarly Articles 3451309, Harvard University Department of Economics.
    7. Ronald L. Moomaw, 1981. "Productivity and City Size: A Critique of the Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(4), pages 675-688.
    8. Richard Florida & Charlotta Mellander & Kevin Stolarick, 2008. "Inside the black box of regional development: human capital, the creative class and tolerance," Journal of Economic Geography, Oxford University Press, vol. 8(5), pages 615-649, September.
    9. Leo Sveikauskas, 1975. "The Productivity of Cities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 89(3), pages 393-413.
    10. Shaikh, Anwar, 1974. "Laws of Production and Laws of Algebra: The Humbug Production Function," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 115-120, February.
    11. Ronald L. Moomaw, 1988. "Agglomeration Economies: Localization or Urbanization?," Urban Studies, Urban Studies Journal Limited, vol. 25(2), pages 150-161, April.
    12. Diego Puga, 2010. "The Magnitude And Causes Of Agglomeration Economies," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 203-219, February.
    13. Rauch James E., 1993. "Productivity Gains from Geographic Concentration of Human Capital: Evidence from the Cities," Journal of Urban Economics, Elsevier, vol. 34(3), pages 380-400, November.
    14. Jaison R. Abel & Ishita Dey & Todd M. Gabe, 2012. "Productivity And The Density Of Human Capital," Journal of Regional Science, Wiley Blackwell, vol. 52(4), pages 562-586, October.
    15. Luís M A Bettencourt & José Lobo & Deborah Strumsky & Geoffrey B West, 2010. "Urban Scaling and Its Deviations: Revealing the Structure of Wealth, Innovation and Crime across Cities," PLOS ONE, Public Library of Science, vol. 5(11), pages 1-9, November.
    16. Andres Gomez-Lievano & HyeJin Youn & Luís M A Bettencourt, 2012. "The Statistics of Urban Scaling and Their Connection to Zipf’s Law," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-11, July.
    17. Segal, David, 1976. "Are There Returns to Scale in City Size?," The Review of Economics and Statistics, MIT Press, vol. 58(3), pages 339-350, August.
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