Derivations of fractal models of city hierarchies using   entropy-maximization principle

CORC > 北京大学 > 地球与空间科学学院

	Derivations of fractal models of city hierarchies using entropy-maximization principle
	Chen, YG ; Liu, JS
刊名	progress in natural science
	2002
关键词	urban system rank-size rule fractal dimension principle of entropy-maximization Beckmann-Davis&apos model
英文摘要	A pair of models of fractal recursion on city hierarchy, f(m) = f(1)r(f)(1-m) and P-m = P(1)r(p)(m-1) are derived using entropy-maximizing methods, and the relationship of inverse proportion between the number (f(m)) of cities at a given level of the urban hierarchy and the average population size (P-m) of the f(m) cities is established, i.e f(m) proportional to 1/P. It is demonstrated that the underlying rationale of both the scale law of city rank-size distribution and the Zipf dimension value in standard state ( dz = lnr(p)/lnr(f) = 1) rests with maximization of information entropy of city hierarchies.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000174285200010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Materials Science, Multidisciplinary; Multidisciplinary Sciences; SCI(E); 9; ARTICLE; 3; 208-211; 12
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/388606]
专题	地球与空间科学学院
推荐引用方式 GB/T 7714	Chen, YG,Liu, JS. Derivations of fractal models of city hierarchies using entropy-maximization principle[J]. progress in natural science,2002.
APA	Chen, YG,&Liu, JS.(2002).Derivations of fractal models of city hierarchies using entropy-maximization principle.progress in natural science.
MLA	Chen, YG,et al."Derivations of fractal models of city hierarchies using entropy-maximization principle".progress in natural science (2002).