Quantification of non-power-law diversity scaling with local multifractal analysis

CORC > 生态环境研究中心 > 中国科学院生态环境研究中心 > 城市与区域生态国家重点实验室

	Quantification of non-power-law diversity scaling with local multifractal analysis
	Zhang, Shuang; Yakimov, Basil N.; Gelashvili, David B.; Zhang, Yuxin; Markelov, Ivan N.; Ma, Keming
刊名	ECOLOGICAL INFORMATICS
	2018-11-01
卷号	48 页码:48-59
关键词	Dominance Effective diversity Multifractal spectrum Rarity Renyi generalized dimensions Spatial structure
ISSN号	1574-9541
文献子类	Article
英文摘要	Description of spatial structure is in the focus of community ecology. Multifractal analysis is a prospective method because it connects fractal geometry tools with the conventional methodology of diversity analysis. The current version is based on a power-law scaling in the form of species-area relation. It is well suited for the description of self-similar communities. However, it is well known that many natural communities and theoretical models deviate from power-law diversity scaling. We propose to relax the requirement of self-similarity and introduce local multifractal analysis. This new method is based on a local approximation of the relation of effective diversity to scale. It is a fractal analysis in the sense of dealing with power-law approximations and estimation of scaling exponents within the framework of multifractal analysis. However, the multifractal spectra that resulted from this analysis do not characterize global scale-invariant properties but reflect details of diversity scaling specific for a given scale. In that sense, the analysis proposed is local. We present the results of analysis in theoretical and empirical contexts. Classical Fisher model of species abundance distribution deviate from power-law scaling and may be described with local multifractal spectra. We illustrate an empirical application in a case study of spatial structure of two temperate deciduous forests in different landscapes. Our approach provides new perspectives in the investigation of community spatial structure because it widens the scope of fractal analysis beyond self-similar communities. It may be adapted for other versions of multifractal analysis applied in community ecology.
内容类型	期刊论文
源URL	[http://ir.rcees.ac.cn/handle/311016/40633]
专题	生态环境研究中心_城市与区域生态国家重点实验室
推荐引用方式 GB/T 7714	Zhang, Shuang,Yakimov, Basil N.,Gelashvili, David B.,et al. Quantification of non-power-law diversity scaling with local multifractal analysis[J]. ECOLOGICAL INFORMATICS,2018,48:48-59.
APA	Zhang, Shuang,Yakimov, Basil N.,Gelashvili, David B.,Zhang, Yuxin,Markelov, Ivan N.,&Ma, Keming.(2018).Quantification of non-power-law diversity scaling with local multifractal analysis.ECOLOGICAL INFORMATICS,48,48-59.
MLA	Zhang, Shuang,et al."Quantification of non-power-law diversity scaling with local multifractal analysis".ECOLOGICAL INFORMATICS 48(2018):48-59.