-exponential distribution in urban agglomeration
- 21 December 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 65 (1) , 017106
- https://doi.org/10.1103/physreve.65.017106
Abstract
Usually, the studies of distributions of city populations have been reduced to power laws. In such analyses, a common practice is to consider cities with more than one hundred thousand inhabitants. Here, we argue that the distribution of cities for all ranges of populations can be well described by using a q-exponential distribution. This function, which reproduces the Zipf-Mandelbrot law, is related to the generalized nonextensive statistical mechanics and satisfies an anomalous decay equation.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Regularities in football goal distributionsPhysica A: Statistical Mechanics and its Applications, 2000
- Are citations of scientific papers a case of nonextensivity?Zeitschrift für Physik B Condensed Matter, 2000
- Power Laws in Solar Flares: Self-Organized Criticality or Turbulence?Physical Review Letters, 1999
- Finite Size Scaling in EcologyPhysical Review Letters, 1999
- Forest Fires: An Example of Self-Organized Critical BehaviorScience, 1998
- How popular is your paper? An empirical study of the citation distributionZeitschrift für Physik B Condensed Matter, 1998
- Dynamics of North American breeding bird populationsNature, 1998
- Strong Regularities in World Wide Web SurfingScience, 1998
- Power laws governing epidemics in isolated populationsNature, 1996
- Scaling behaviour in the dynamics of an economic indexNature, 1995