Is the Zipf law spurious in explaining city-size distributions?

被引:62
|
作者
Gan, Li
Li, Dong [1 ]
Song, Shunfeng
机构
[1] Kansas State Univ, Dept Econ, Manhattan, KS 66506 USA
[2] Texas A&M Univ, Dept Econ, College Stn, TX 77843 USA
[3] Univ Nevada, Dept Econ, Reno, NV 89557 USA
关键词
Zipf law; rank-size; spurious;
D O I
10.1016/j.econlet.2006.03.004
中图分类号
F [经济];
学科分类号
02 ;
摘要
The Zipf law, which states that that the rank associated with some size S is proportional to S to some negative power, is a regularity observed in natural and social sciences. One popular application of the Zipf law is the relationship between city sizes and their ranks. This paper examines the rank-size relationship through Monte Carlo simulations and two examples. We show that a good fit (indicated by a high R 2 value) can be found for many statistical distributions. The Zipf law's good fit is a statistical phenomenon, and therefore, it does not require an economic theory that determines city-size distributions. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:256 / 262
页数:7
相关论文
共 50 条
  • [41] Zipf's law, hyperbolic distributions and entropy loss
    Harremoës, P
    Topsoe, F
    ISIT: 2002 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2002, : 207 - 207
  • [42] China's development policies and city size distribution: An analysis based on Zipf's law
    Fang, Li
    Li, Peng
    Song, Shunfeng
    URBAN STUDIES, 2017, 54 (12) : 2818 - 2834
  • [43] The evolution of Zipf's law indicative of city development
    Chen, Yanguang
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 443 : 555 - 567
  • [44] The Italian primary school-size distribution and the city-size: a complex nexus
    Alessandro Belmonte
    Riccardo Di Clemente
    Sergey V. Buldyrev
    Scientific Reports, 4
  • [45] City-size bias in knowledge on the effects of urban nature on people and biodiversity
    Kendal, Dave
    Egerer, Monika
    Byrne, Jason A.
    Jones, Penelope J.
    Marsh, Pauline
    Threlfall, Caragh G.
    Allegretto, Gabriella
    Kaplan, Haylee
    Nguyen, Hanh K. D.
    Pearson, Sue
    Wright, Abigail
    Flies, Emily J.
    ENVIRONMENTAL RESEARCH LETTERS, 2020, 15 (12)
  • [46] The Italian primary school-size distribution and the city-size: a complex nexus
    Belmonte, Alessandro
    Di Clemente, Riccardo
    Buldyrev, Sergey V.
    SCIENTIFIC REPORTS, 2014, 4
  • [47] Rank distributions of words in correlated symbolic systems and the Zipf law
    Kechedzhi, KE
    Usatenko, OV
    Yampol'skii, VA
    PHYSICAL REVIEW E, 2005, 72 (04):
  • [48] REJECTION OF ZIPF MODEL (RANK SIZE RULE) IN RELATION TO CITY SIZE
    ROSING, KE
    PROFESSIONAL GEOGRAPHER, 1966, 18 (02): : 75 - 82
  • [49] Zipf's law and influential factors of the Pareto exponent of the city size distribution: Evidence from China
    Gao, Hongying
    Wu, Kangping
    FRONTIERS OF ECONOMICS IN CHINA, 2008, 3 (01) : 137 - 149
  • [50] GROWTH-PROCESS FOR ZIPFS AND YULES CITY-SIZE LAWS
    DACEY, MF
    ENVIRONMENT AND PLANNING A, 1979, 11 (04) : 361 - 372