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Dresden 2009 – scientific programme

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AGSOE: Arbeitsgruppe Physik sozio-ökonomischer Systeme

AGSOE 8: Traffic Dynamics, Urban and Regional Systems II

AGSOE 8.1: Talk

Tuesday, March 24, 2009, 10:15–10:45, BAR 205

New Laws of City Growth — •Diego Rybski1, Hernan D. Rozenfeld1, Jose S. Andrade Jr.2, Michael Batty3, H. Eugene Stanley4, and Hernan A. Makse11Levich Institute and Physics Department, City College of New York, New York, NY 10031, USA — 2Departamento de Fisica, Universidade Federal do Ceara, 60451-970 Fortaleza, Ceara, Brazil — 3Centre for Advanced Spatial Analysis, University College London, 1-19 Torrington Place, London WC1E 6BT, UK — 4Center for Polymer Studies and Physics Department, Boston University, Boston, MA 02215, USA

An important issue in the study of cities is defining a metropolitan area. A commonly employed method of defining a metropolitan area is the Metropolitan Statistical Areas (MSA), based on rules attempting to capture the notion of city as a functional economic region, and is constructed using experience. Here, we introduce a new method to designate metropolitan areas, denoted the "City Clustering Algorithm" (CCA). The CCA is based on spatial distributions of the population at a fine geographic scale, defining a city beyond the scope of its administrative boundaries. We use the CCA to examine Gibrat's law of proportional growth. We find that the mean growth rate of a cluster utilizing the CCA exhibits deviations from Gibrat's law, and that the standard deviation decreases as a power-law with respect to the city size. The CCA allows for the study of the underlying process leading to these deviations. These results have socio-political implications, such as those pertaining to the location of new economic development in cities of varied size.

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