An analytical process of the spatio-temporal evolution of urban systems   based on allometric and fractal ideas

doi:10.1016/j.chaos.2007.01.130

CORC > 北京大学 > 地球与空间科学学院

	An analytical process of the spatio-temporal evolution of urban systems based on allometric and fractal ideas
	Chen, Yanguang ; Jiang, Shiguo
刊名	chaos solitons fractals
	2009
关键词	PATTERNS MODEL SIZE LAW DYNAMICS GROWTH
DOI	10.1016/j.chaos.2007.01.130
英文摘要	This paper presents a computer-based analytical framework for the spatio-temporal evolution of urban systems using the ideas from the allometric growth associated with fractals, Both cities as systems and systems of cities follow the law of allometric growth, and the scaling factors of the allometric relations can compose the matrix equations as eigenfunctions. The fractal dimension arrays are just the eigenvectors of the scaling factor matrices while the numbers of variables are the greatest eigenvalues. The solutions of matrix equations can be employed to analyse city systems and evaluate relative levels of urban development. The method is applied to Hangzhou urban system of China. The results reveal clearly in urbanization process characterized as population concentration and an industrialization process characterized as industrial diffusion. The computation results are consistent with the reality, which indicate that the method is available for analyzing the spatio-temporal evolution of complex systems such as cities. (C) 2007 Elsevier Ltd. All rights reserved.; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical; SCI(E); EI; SSCI; 9; ARTICLE; 1; 49-64; 39
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/246594]
专题	地球与空间科学学院
推荐引用方式 GB/T 7714	Chen, Yanguang,Jiang, Shiguo. An analytical process of the spatio-temporal evolution of urban systems based on allometric and fractal ideas[J]. chaos solitons fractals,2009.
APA	Chen, Yanguang,&Jiang, Shiguo.(2009).An analytical process of the spatio-temporal evolution of urban systems based on allometric and fractal ideas.chaos solitons fractals.
MLA	Chen, Yanguang,et al."An analytical process of the spatio-temporal evolution of urban systems based on allometric and fractal ideas".chaos solitons fractals (2009).