Zipf Law for Brazilian Cities

Details Zipf Law for Brazilian Cities Zipf Law for Brazilian Cities

2005-11-25

arxiv.org/abs/physics/0511216v2

Physica A 367 (2006) 441-448

Physics

Physics and Society

12 pages, 6 figures, 3 tables, Elsevier LaTeX, accepted for publication in "Physica A". Correction of minor mistyping (eq. 8)

Scientific paper

10.1016/j.physa.2005.11.038

This work studies the Zipf Law for cities in Brazil. Data from censuses of 1970, 1980, 1991 and 2000 were used to select a sample containing only cities with 30,000 inhabitants or more. The results show that the population distribution in Brazilian cities does follow a power law similar to the ones found in other countries. Estimates of the power law exponent were found to be 2.22 +/- 0.34 for the 1970 and 1980 censuses, and 2.26 +/- 0.11 for censuses of 1991 and 2000. More accurate results were obtained with the maximum likelihood estimator, showing an exponent equal to 2.41 for 1970 and 2.36 for the other three years.

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