An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of   Geographical Systems

doi:10.1155/2014/910457

CORC > 北京大学 > 城市与环境学院

	An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems
	Luo, Hongyu ; Chen, Yanguang
刊名	discrete dynamics in nature and society
	2014
关键词	URBAN LAND-USE CELLULAR-AUTOMATA CITIES GROWTH FORM MORPHOLOGY DIMENSION EVOLUTION DENSITY SHAPE
DOI	10.1155/2014/910457
英文摘要	The generalized Cobb-Douglas production function has been derived from a general input-output relation based on fractality assumptions. It was proved to be a useful self-affine model for geographical analysis. However, the ordinary least square calculation is always an ineffectual method for the Cobb-Douglas modeling because of the multicollinearity in the logarithmic linear regression. In this paper, a novel approach is proposed to build the geographical Cobb-Douglas models. Combining the concept of allometric scaling with the linear regression technique, we obtain a simple algorithm that can be employed to estimate the parameters of the Cobb-Douglas function. As a case, the algorithm and models are applied to the public transportation of China's cities, and the results validate the allometric algorithm. A conclusion can be drawn that the allometric analysis is an effective way of modeling geographical systems with the general Cobb-Douglas function. This study is significant for integrating the notions of allometry, fractals, and scaling into a new framework to form a quantitative methodology of spatial analysis.; Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences; SCI(E); 0; ARTICLE; chenyg@pku.edu.cn
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/390252]
专题	城市与环境学院
推荐引用方式 GB/T 7714	Luo, Hongyu,Chen, Yanguang. An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems[J]. discrete dynamics in nature and society,2014.
APA	Luo, Hongyu,&Chen, Yanguang.(2014).An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems.discrete dynamics in nature and society.
MLA	Luo, Hongyu,et al."An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems".discrete dynamics in nature and society (2014).