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

• Kuninaka Hiroto

  Department of Physics, Chuo University

• Matsushita Mitsugu

  Department of Physics, Chuo University

抄録

We study the rank-size distribution of cities in Japan by data analysis and computer simulation. From the census data after World War II, 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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 77 (11), 114801-114801, 2008

  一般社団法人 日本物理学会

キーワード

• population
• rank-size distribution
• power-law distribution
• lognormal distribution
• Zipf’s law
• Gibrat’s law
• agent-based model

詳細情報

• CRID: 1390282679174710528
• NII論文ID: 130005436228
• NII論文ID: 110006983761
• NII論文ID: 210000107543
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.77.114801
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 9706518
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9706518
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.77.114801
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可