Scientometrics

, Volume 96, Issue 3, pp 819–828 | Cite as

Scaling of patenting with urban population size: evidence from global metropolitan areas

Article

Abstract

Larger agglomerations of individuals create a social environment can sustain a larger repertoire of intellectual capabilities, thereby facilitating the creation and recombination of ideas, and increasing the likelihood that interactions among individuals will occur through which new ideas are generated and shared. Relatedly, cities have long been the privileged setting for invention and innovation. These two phenomena are brought together in the superlinear scaling relationship whereby urban inventive output (measured through patenting) increases more than proportionally with increasing population size. We revisit the relationship between urban population size and patenting using data for a global set of metropolitan areas in the OECD and show, for the first time, that the superlinear scaling between patenting and population size observed for US metropolitan areas holds for urban areas across a variety of urban and economic systems. In fact the scaling relationships established for the US metropolitan system and for the global metropolitan system are remarkably similar.

Keywords

Urban scaling Patenting Global metropolitan areas Superlinearity 

References

  1. Acs, Z., Anselin, L., & Varga, A. (2002). Patents and innovation counts as measures of regional production of new knowledge. Research Policy, 31, 1069–1085.CrossRefGoogle Scholar
  2. Algaze, G. (2008). Ancient Mesopotamia at the dawn of civilization. Chicago: University of Chicago Press.CrossRefGoogle Scholar
  3. Arbesman, S., & Christakis, N. A. (2011). Scaling of prosocial behavior in cities. Physica A, 390, 2155–2159.CrossRefGoogle Scholar
  4. Arrow, K. (1962). The economic implications of learning by doing. Review of Economic Studies, 29, 155–173.CrossRefGoogle Scholar
  5. Bairoch, P. (1988). Cities and economic development: From the dawn of history to the present. Chicago: The University of Chicago Press.Google Scholar
  6. Barenblatt, G. I. (2003). Scaling. Cambridge: Cambridge University Press.MATHCrossRefGoogle Scholar
  7. Bettencourt, L. M. A. (2012). The origin of scaling in cities. Santa Fe Institute working paper 12-09-014. Santa Fe: Santa Fe Institute.Google Scholar
  8. Bettencourt, L. M. A., Lobo, J., Helbing, D., Kühnert, C., & West, G. (2007a). Growth, innovation, scaling and the pace of life in cities. Proceedings of the National Academy of Sciences, 104, 7301–7306.CrossRefGoogle Scholar
  9. Bettencourt, L. M. A., Lobo, J., & Strumsky, D. (2007b). Invention in the city: Increasing returns to patenting as a scaling function of metropolitan size. Research Policy, 36, 107–120.CrossRefGoogle Scholar
  10. Bettencourt, L. M. A., Lobo, J., Strumsky, D., & West, G. (2010). Urban scaling and its deviations: Revealing the structure of wealth, innovation and crime across cities. PLoS ONE, 5, e13541. doi:10.1371/journal.pone.0013541.CrossRefGoogle Scholar
  11. Boserup, E. (1981). Population and technological change: A study of long-term trends. Chicago: University of Chicago Press.Google Scholar
  12. Boyd, R., Richerson, P. J., & Henrich, J. (2011). The cultural niche: Why social learning is essential for human adaptation. Proceedings of the National Academy of Sciences, 108, 10918–10925.CrossRefGoogle Scholar
  13. Brock, W. A. (1999). Scaling in economics: A readers’ guide. Industrial and Corporate Change, 8, 409–446.MathSciNetCrossRefGoogle Scholar
  14. Carlino, G. A. (1979). Increasing returns to scale in metropolitan manufacturing. Journal of Regional Science, 19, 343–351.CrossRefGoogle Scholar
  15. Carneiro, R. (2000). The transition from quantity to quality: A neglected causal mechanism in accounting for social evolution. Proceedings of the National Academy of Sciences, 97, 12926–12931.CrossRefGoogle Scholar
  16. Carneriro, R. (1962). Scale analysis as an instrument for the study of cultural evolution. Southwestern Journal of Anthropology, 18, 149–169.Google Scholar
  17. Chave, E., & Levin, S. A. (2003). Scale and scaling in ecological and economic systems. Environmental and Resource Economics, 26, 527–557.CrossRefGoogle Scholar
  18. Criscuolo, P. (2006). The ‘home advantage’ effect and patent families. A comparison of OECD triadic patents, the USTPTO and EPO. Scientometrics, 66, 23–41.CrossRefGoogle Scholar
  19. Diamond, J. (1978). The longest isolation, the simplest technology. Nature, 273, 185–186.CrossRefGoogle Scholar
  20. Diamond, J. (1997). Guns, germs, and steel. New York: W.W. Norton and Company.Google Scholar
  21. Dumond, D. E. (1965). Population growth and cultural change. Southwestern Journal of Anthropology, 21, 302–324.Google Scholar
  22. Duranton, G., & Jayet, H. (2011). Is the division of labour limited by the extent of the market?Evidence from French cities. Journal of Urban Economics, 69, 56–71.CrossRefGoogle Scholar
  23. Duranton, G., Martin, P., Mayer, T., & Mayneris, F. (2010). The Economics of clusters: Evidence from France. Oxford: Oxford University Press.CrossRefGoogle Scholar
  24. Ember, M. (1963). The relationship between economic and political development in nonindustrial societies. Ethnology, 2, 228–248.CrossRefGoogle Scholar
  25. Forman, C., Goldfarb, A., & Greenstein, S. (2008). Understanding the inputs into innovation: Do cities substitute for internal firm resources? Journal of Economics and Management Strategy, 17, 295–316.CrossRefGoogle Scholar
  26. Gabaix, X. (2009). Power laws in economics and finance. Annual Review of Economics, 1, 255–293.CrossRefGoogle Scholar
  27. Glaeser, E. L. (2011). Triumph of the city. New York: Penguin.Google Scholar
  28. Griliches, Z. (1990). Patent statistics as economic indicators: A survey. Journal of Economic Literature, 28, 1661–1707.Google Scholar
  29. Hall, P. (1998). Cities in civilization. New York: Pantheon.Google Scholar
  30. Hasan, I., & Tucci, C. L. (2010). The innovation-economic growth nexus: Global evidence. Research Policy, 39, 1264–1276.CrossRefGoogle Scholar
  31. Hunt, R. M., Carlino, G., & Chatterjee, S. (2007). Urban density and the rate of invention. Journal of Urban Economics, 61, 389–419.CrossRefGoogle Scholar
  32. Jacobs, J. (1984). Cities and the wealth of nations. New York: Random House.Google Scholar
  33. Jaffe, A. B., & Trajtenberg, M. (2002). Patents, citations, and innovations: q window on the knowledge economy. Cambridge: MIT.Google Scholar
  34. Jaffe, A. B., Trajtenberg, M., & Henderson, R. (1993). Geographic localization of knowledge spillovers as evidenced by patent citations. Quarterly Journal of Economics, 108, 577–598.CrossRefGoogle Scholar
  35. Jones, C. I., & Romer, P. M. (2010). The new Kaldor facts: Institutions, population, and human capital. American Economic Journal: Macroeconomics, 2, 224–245.CrossRefGoogle Scholar
  36. Katz, J. S. (2006). Indicators for complex innovation systems. Research Policy, 35, 893–909.CrossRefGoogle Scholar
  37. Klasen, S., & Nestmann, T. (2006). Population, population density and technological change. Journal of Population Economics, 19, 611–626.CrossRefGoogle Scholar
  38. Kline, M. A., & Boyd, R. (2010). Population size predicts technological complexity in Oceania. Proceedings of the Royal Society B, 277, 2559–2564.CrossRefGoogle Scholar
  39. Knudsen, B., Florida, R., Stolarick, K., & Gates, G. (2008). Density and creativity in US regions. Annals of the Association of American Geographers, 98, 461–478.CrossRefGoogle Scholar
  40. Kremer, M. (1993). Population growth and technological change: One million B.C. to 1990. Quarterly Journal of Economics, 108, 681–716.CrossRefGoogle Scholar
  41. Lee, R. D. (1987). Population dynamics of humans and other animals. Demography, 24, 443–466.CrossRefGoogle Scholar
  42. Lee, R. D. (1988). Induced population growth and induced technological progress: Their interaction in the accelerating stage. Mathematical Population Studies, 1, 265–288.CrossRefGoogle Scholar
  43. Lobo, J., & Strumsky, D. (2008). Metropolitan patenting, inventor agglomeration and social networks: A tale of two effects. Journal of Urban Economics, 63, 871–884.CrossRefGoogle Scholar
  44. Maraut, S., Dernis, H., Webb, C., Spiezia, V. & Guellec, D. (2008). The OECD REGPAT database: a presentation. OECD Statistical Analysis of Science, Technology and Industry Working PaperGoogle Scholar
  45. Marx, M., Strumsky, D., & Fleming, L. (2009). Noncompetes and inventor mobility: Specialists, stars, and the Michigan experiment. Management Science, 55, 875–889.CrossRefGoogle Scholar
  46. Mokyr, J. (1990). The level of riches: Technological creativity and economic progress. New York: Oxford University Press.Google Scholar
  47. Moomaw, R. L. (1981). Productivity and city size? A critique of the evidence. Quarterly Journal of Economics, 96, 675–688.CrossRefGoogle Scholar
  48. Mumford, L. (1968). The city in history: its origins, its transformations, and its prospects. New York: Mariner Books.Google Scholar
  49. Narin, F. (1994). Patent Bibliometrics. Scientometrics, 30, 147–155.CrossRefGoogle Scholar
  50. Naroll, R. (1956). A preliminary index of social development. American Anthropologist, 58, 687–715.CrossRefGoogle Scholar
  51. OECD (2012). Patents by regions. Organization for Economic Cooperation and Development Patent Statistics (database). doi: 10.1787/data-00509-en
  52. Price, D. J. S. (1969). Measuring the size of science. Proceedings of the Israel Academy of Sciences and Humanities, 4, 1–14.Google Scholar
  53. Puga, D. (2010). The magnitude and causes of agglomeration economies. Journal of Regional Science, 50, 203–219.CrossRefGoogle Scholar
  54. Rauch, J. E. (1993). Productivity gains from geographic concentration of human capital: Evidence from cities. Journal of urban Economics, 34, 380–400.CrossRefGoogle Scholar
  55. Redman, C. (1979). The rise of civilization: from early farmers to urban society in the ancient Near East. San Francisco: W.H. Freeman & Co. Ltd.Google Scholar
  56. Romer, P. M. (2010). What parts of globalization matter for catch-up growth? American Economic Review, 100, 94–98.CrossRefGoogle Scholar
  57. Sedgley, N., & Elmslie, B. (2011). Do we still need cities? evidence on rates of innovation from count data models of metropolitan statistical area patents. American Journal of Economic Sociology, 70, 86–108.CrossRefGoogle Scholar
  58. Segal, D. (1976). Are there returns to scale in city size? The Review of Economics and Statistics, 58, 339–350.CrossRefGoogle Scholar
  59. Shefer, D. (1973). Localization economies in SMSAs: A production function approach. Journal of Regional Science, 13, 55–64.CrossRefGoogle Scholar
  60. Shennan, S. J. (2002). Genes, memes and human history: Darwinian archaeology and cultural evolution. London: Thames and Hudson.Google Scholar
  61. Simon, J. (1977). The economics of population growth. Princeton: Princeton University Press.Google Scholar
  62. Simon, J. (1986). Theory of population and economic growth. Oxford: Basil Blackwell.Google Scholar
  63. Spufford, P. (2003). Power and profit: the merchant in medieval Europe. London: Thames & Hudson.Google Scholar
  64. Sveikauskas, L. (1975). The productivity of cities. Quarterly Journal of Economics, 89, 393–413.CrossRefGoogle Scholar
  65. Uslaner, E. (1976). The pitfalls of per capita. American Journal of Political Science, 20, 125–133.CrossRefGoogle Scholar
  66. van Zeebroeck, N., & van Pottelsberghe de la Potterie, B. (2011). Filing strategies and patent value. Economics of Innovation and New Technology, 20, 539–561.CrossRefGoogle Scholar
  67. Wirth, L. (1938). Urbanism as a way of life. The American Journal of Sociology, 44, 1–24.CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2013

Authors and Affiliations

  1. 1.Arizona State UniversityTempeUSA
  2. 2.University of North Carolina-CharlotteCharlotteUSA
  3. 3.The Brookings InstitutionWashingtonUSA

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