DOUBLE POWER-LAW DEGREE DISTRIBUTION AND INFORMATIONAL ENTROPY IN URBAN ROAD NETWORKS

Jian Jiang (), Frédéric Metz, Christophe Beck, Sébastien Lefevre, Jincan Chen, Qiuping A. Wang and Michel Pezeril
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Jian Jiang: Complexity Science Center, Institute of Particle Physics, Hua-Zhong (Central China), Normal University, Wuhan 430079, China;
Frédéric Metz: Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F. A. Bartholdi, 72000 Le Mans, France
Christophe Beck: Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F. A. Bartholdi, 72000 Le Mans, France
Sébastien Lefevre: Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F. A. Bartholdi, 72000 Le Mans, France
Jincan Chen: Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F. A. Bartholdi, 72000 Le Mans, France;
Qiuping A. Wang: Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F. A. Bartholdi, 72000 Le Mans, France;
Michel Pezeril: LPEC, Faculté des Sciences et Techniques, Université du Maine, Ave. O. Messiaen, 72035 Le Mans, France

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 01, 13-20

Abstract: The double power-law function,p(x) ~ 1/(xb+ cxd)wherexis the degree of one node, andb,c,dare parameters, is used to fit the degree distribution of urban road network of Le Mans city in France. It is called "double power-law" since it behaves as two power laws respectively, in large and small degree region with a crossing in-between. The position of the crossing point is derived as a function of the three parameters. The probabilistic uncertainty of this law is studied with two possible information measures: a generalized measure called varentropy and the Shannon entropy formula.

Keywords: Urban road networks; degree distribution; double power-law; crossing point; entropy (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016075

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