A dynamic model for city size distribution beyond Zipf 's law

Physica A: Statistical Mechanics and its Applications

Volumn 384, Issue 2, 2007, Pages 613-627

  Benguigui, Lucien ^a   Blumenfeld Lieberthal, Efrat ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

City size distribution (CSD); Exponent ; Power law

Indexed keywords

DISTRIBUTION FUNCTIONS; DYNAMIC MODELS; STATISTICAL METHODS;

CITY SIZE DISTRIBUTION (CSD); POWER LAW;

STATISTICAL MECHANICS;

EID: 34548011942     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.05.059     Document Type: Article

References (26)

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20. To ameliorate the fit, we added (in Fig. 7) the point (1,0). If K = 1 there is creation of a city at each step and the number of cities grows rapidly, much faster than the growth of the city sizes. Therefore, the log-log rank size plot is a line parallel to the rank axis, i.e. μ ≈ 0.
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23. It is also possible to find the exponential growth of the number of cities with the help of the two relationships: d t = d T / N and d N / d T = 1 / K.
24. In a forthcoming paper we use K as an explicit function K (T) in order to apply the model to the systems of cities of Israel and France.
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