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

被引：13

作者：

Kuninaka, Hiroto ^{[1
]}

Matsushita, Mitsugu ^{[1
]}

机构：

[1] Chuo Univ, Dept Phys, Bunkyo Ku, Tokyo 1128551, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2008年 / 77卷 / 11期

关键词：

population; rank-size distribution; power-law distribution; lognormal distribution; Zipf's law; Gibrat's law; agent-based model;

D O I：

10.1143/JPSJ.77.114801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：6

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