Superlinear scaling for innovation in cities

Samuel Arbesman, Jon M. Kleinberg, and Steven H. Strogatz
Phys. Rev. E 79, 016115 – Published 30 January 2009

Abstract

Superlinear scaling in cities, which appears in sociological quantities such as economic productivity and creative output relative to urban population size, has been observed, but not been given a satisfactory theoretical explanation. Here we provide a network model for the superlinear relationship between population size and innovation found in cities, with a reasonable range for the exponent.

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  • Received 29 September 2008

DOI:https://doi.org/10.1103/PhysRevE.79.016115

©2009 American Physical Society

Authors & Affiliations

Samuel Arbesman*

  • Department of Health Care Policy, Harvard Medical School, 180 Longwood Avenue, Boston, Massachusetts 02115, USA

Jon M. Kleinberg

  • Computer Science, Cornell University, Ithaca, New York 14853, USA

Steven H. Strogatz

  • Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, USA

  • *arbesman@hcp.med.harvard.edu
  • kleinber@cs.cornell.edu
  • shs7@cornell.edu

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Vol. 79, Iss. 1 — January 2009

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