Quasi-static variation of power-law and log-normal distributions of urban population

Ishikawa A. ; Fujimoto S. ; Ramos Gutiérrez, A. (Universidad de Zaragoza) ; Mizuno T.

Resumen: We analytically derived and confirmed by empirical data the following three relations from the quasi-time-reversal symmetry, Gibrat’s law, and the non-Gibrat’s property observed in the urban population data of France. The first is the relation between the time variation of the power law and the quasi-time-reversal symmetry in the large-scale range of a system that changes quasi-statically. The second is the relation between the time variation of the log-normal distribution and the quasi-time-reversal symmetry in the mid-scale range. The third is the relation among the parameters of log-normal distribution, non-Gibrat’s property, and quasi-time-reversal symmetry. © 2021 by the authors.Licensee MDPI, Basel Switzerland.

Idioma: Inglés

DOI: 10.3390/e23070908

Año: 2021

Publicado en: ENTROPY 23, 7 (2021), 908 [16 pp]
ISSN: 1099-4300

Factor impacto JCR: 2.738 (2021)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 42 / 86 = 0.488 (2021) - Q2 - T2

Factor impacto CITESCORE: 4.4 - Physics and Astronomy (Q2)

Factor impacto SCIMAGO: 0.553 - Electrical and Electronic Engineering (Q2) - Physics and Astronomy (miscellaneous) (Q2) - Information Systems (Q2)

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Fund. Análisis Económico (Dpto. Análisis Económico)