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Why are large cities faster? Universal scaling and self-similarity in urban organization and dynamics


  • L. M.A. Bettencourt


  • J. Lobo


  • G. B. West



Cities have existed since the beginning of civilization and have always been intimately connected with humanity's cultural and technological development. Much about the human and social dynamics that takes place is cities is intuitively recognizable across time, space and culture; yet we still do not have a clear cut answer as to why cities exist or to what factors are critical to make them thrive or collapse. Here, we construct an extensive quantitative characterization of the variation of many urban indicators with city size, using large data sets for American, European and Chinese cities. We show that social and economic quantities, characterizing the creation of wealth and new ideas, show increasing returns to population scale, which appear quantitatively as a power law of city size with an exponent β≃ 1.15 > 1. Concurrently, quantities characterizing material infrastructure typically show economies of scale, namely β≃ 0.8 > 1. The existence of pervasive scaling relations across city size suggests a universal social dynamics common to all cities within an urban system. We sketch some of their general ingredients, which include the acceleration of social life and a restructuring of individual social networks as cities grow larger. We also build simple dynamical models to show that increasing returns in wealth and innovation can fuel faster than exponential growth, which inexorably lead to crises of urban organization. To avoid them we show that growth may proceed in cycles, separated by major urban adaptations, with the unintended consequence that the duration of such cycles decreases with larger urban population size and is now estimated to be shorter than a human lifetime. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • L. M.A. Bettencourt & J. Lobo & G. B. West, 2008. "Why are large cities faster? Universal scaling and self-similarity in urban organization and dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(3), pages 285-293, June.
  • Handle: RePEc:spr:eurphb:v:63:y:2008:i:3:p:285-293
    DOI: 10.1140/epjb/e2008-00250-6

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    References listed on IDEAS

    1. Edward L. Glaeser & Joseph Gyourko & Raven E. Saks, 2006. "Urban growth and housing supply," Journal of Economic Geography, Oxford University Press, vol. 6(1), pages 71-89, January.
    2. Fujita, Masahisa & Hamaguchi, Nobuaki, 2001. "Intermediate goods and the spatial structure of an economy," Regional Science and Urban Economics, Elsevier, vol. 31(1), pages 79-109, February.
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    Cited by:

    1. Alves, Luiz G.A. & Ribeiro, Haroldo V. & Mendes, Renio S., 2013. "Scaling laws in the dynamics of crime growth rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2672-2679.
    2. Xinyue Ye & Yichun Xie, 2012. "Re-examination of Zipf’s law and urban dynamic in China: a regional approach," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(1), pages 135-156, August.


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