Quantification of non-power-law diversity scaling with local multifractal analysis
文献类型:期刊论文
作者 | Zhang, Shuang; Yakimov, Basil N.; Gelashvili, David B.; Zhang, Yuxin; Markelov, Ivan N.; Ma, Keming |
刊名 | ECOLOGICAL INFORMATICS |
出版日期 | 2018-11-01 |
卷号 | 48页码:48-59 |
ISSN号 | 1574-9541 |
关键词 | Dominance Effective diversity Multifractal spectrum Rarity Renyi generalized dimensions Spatial structure |
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. |
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. |
入库方式: OAI收割
来源:生态环境研究中心
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