Why Does Zipf's Law Break Down in Rank-Size Distribution of Cities?

Authored by Hiroto Kuninaka, Mitsugu Matsushita

Date Published: 2008-11

DOI: 10.1143/jpsj.77.114801

Sponsors: No sponsors listed

Platforms: No platforms listed

Model Documentation: Other Narrative

Model Code URLs: Model code not found

Abstract

We study the rank-size distribution of cities in Japan by data analysis and computer simulation. From the census data after World War 11, we find that the rank-size distribution of cities is composed of two parts, each of which has an independent power exponent. In addition, the power exponent of the head part of the distribution changes with time and Zipf's law holds only for a restricted period. We show that Zipf's law broke down owing to the great Showa and Heisei mergers and recovered owing to Population growth in middle-sized cities after the great Showa merger.

Tags

Agent-based model Gibrat's law Zipf's Law Lognormal distribution Power-law distribution population rank-size distribution