An allometric scaling relation based on logistic growth of cities

doi:10.1016/j.chaos.2014.04.017

CORC > 北京大学 > 城市与环境学院

	An allometric scaling relation based on logistic growth of cities
	Chen, Yanguang
刊名	chaos solitons fractals
	2014
关键词	SELF-ORGANIZED CRITICALITY URBAN SETTLEMENTS METABOLIC-RATE CITY SIZE LAWS MODEL SYSTEMS HIERARCHIES HYPOTHESIS NETWORKS
DOI	10.1016/j.chaos.2014.04.017
英文摘要	The relationships between urban area and population size have been empirically demonstrated to follow the scaling law of allometric growth. This allometric scaling is based on exponential growth of city size and can be termed "exponential allometry", which is associated with the concepts of fractals. However, both city population and urban area comply with the course of logistic growth rather than exponential growth. In this paper, I will present a new allometric scaling based on logistic growth to solve the above mentioned problem. The logistic growth is a process of replacement dynamics. Defining a pair of replacement quotients as new measurements, which are functions of urban area and population, we can derive an allometric scaling relation from the logistic processes of urban growth, which can be termed "logistic allometry". The exponential allometric relation between urban area and population is the approximate expression of the logistic allometric equation when the city size is not large enough. The proper range of the allometric scaling exponent value is reconsidered through the logistic process. Then, a medium-sized city of Henan Province, China, is employed as an example to validate the new allometric relation. The logistic allometry is helpful for further understanding the fractal property and self-organized process of urban evolution in the right perspective. (C) 2014 Elsevier Ltd. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000338602500008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical; SCI(E); EI; 5; ARTICLE; chenyg@pku.edu.cn; 65-77; 65
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/160896]
专题	城市与环境学院
推荐引用方式 GB/T 7714	Chen, Yanguang. An allometric scaling relation based on logistic growth of cities[J]. chaos solitons fractals,2014.
APA	Chen, Yanguang.(2014).An allometric scaling relation based on logistic growth of cities.chaos solitons fractals.
MLA	Chen, Yanguang."An allometric scaling relation based on logistic growth of cities".chaos solitons fractals (2014).