q-Exponential Distribution in Urban Agglomeration

Preprint

13 September 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0109232

Abstract

Usually, the study of city population distribution has been reduced to power laws. In such analysis, 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

EXPONENTIAL DISTRIBUTION
POPULATION DISTRIBUTION
URBAN AGGLOMERATION
CITY POPULATION
ANOMALOUS DECAY
STATISTICAL
CITIES
DECAY
LAW

All Related Versions

Version 1, 2001-09-13, ArXiv
Published version: Physical Review E, 65 (1), 017106.

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