Fractal analytical approach of urban form based on spatial correlation   function

doi:10.1016/j.chaos.2013.02.006

CORC > 北京大学 > 地球与空间科学学院

	Fractal analytical approach of urban form based on spatial correlation function
	Chen, Yanguang
刊名	chaos solitons fractals
	2013
关键词	SELF-ORGANIZED CRITICALITY STRANGE ATTRACTORS CELLULAR-AUTOMATA GROWTH PATTERNS CENTRAL PLACE CITIES DIMENSION MORPHOLOGY COMPLEXITY EVOLUTION
DOI	10.1016/j.chaos.2013.02.006
英文摘要	Urban form has been empirically demonstrated to be of scaling invariance and can be described with fractal geometry. However, the rational range of fractal dimension value and the relationships between various fractal indicators of cities are not yet revealed in theory. By mathematical deduction and transform (e.g., Fourier transform), I find that scaling analysis, spectral analysis, and spatial correlation analysis are all associated with fractal concepts and can be integrated into a new approach to fractal analysis of cities. This method can be termed '3S analyses' of urban form. Using the 3S analysis, I derived a set of fractal parameter equations, by which different fractal parameters of cities can be linked up with one another. Each fractal parameter has its own reasonable extent of values. According to the fractal parameter equations, the intersection of the rational ranges of different fractal parameters suggests the proper scale of the fractal dimension of urban patterns, which varies from 1.5 to 2. The fractal dimension equations based on the 3S analysis and the numerical relationships between different fractal parameters are useful for geographers to understand urban evolution and potentially helpful for future city planning. (C) 2013 Elsevier Ltd. All rights reserved.; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical; SCI(E); EI; 7; ARTICLE; 1; 47-60; 49
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/160985]
专题	地球与空间科学学院
推荐引用方式 GB/T 7714	Chen, Yanguang. Fractal analytical approach of urban form based on spatial correlation function[J]. chaos solitons fractals,2013.
APA	Chen, Yanguang.(2013).Fractal analytical approach of urban form based on spatial correlation function.chaos solitons fractals.
MLA	Chen, Yanguang."Fractal analytical approach of urban form based on spatial correlation function".chaos solitons fractals (2013).