Application of fundamental equations to species−area theory

BMC Ecology

Research Article

Xubin Pan¹ 

[1] Institute of Plant Quarantine, Chinese Academy of Inspection and Quarantine, 100029, Beijing, China;

关键词: Endemics-area relationship;    Overlap-area relationship;    Power law;    Random replacement;    Real total area;    Sampling rate;    Overlap rate;    Extinction rate;    Overlap index;   

DOI  :  10.1186/s12898-016-0097-5

 received in 2016-05-31, accepted in 2016-08-27,  发布年份 2016

来源: Springer

【 摘 要 】

BackgroundSpecies−area relationship (SAR), endemics-area relationship (EAR) and overlap-area relationship (OAR) are three important concepts in biodiversity study. The application of fundamental equations linking the SAR, EAR and OAR, can enrich the axiomatic framework of the species−area theory and deepen our understanding of the mechanisms of community assembly.ResultsTwo fundamental equations are derived and extended to power law model and random replacement model of species−area distribution. Several important parameters, including the overlap index and extinction rate, are defined and expressed to enrich the species−area theory. For power law model, both EAR and OAR have three parameters, with one more parameter of the total area than SAR does. The EAR equation is a monotonically increasing function for parameter c and z, and a monotonically decreasing function for parameter A. The extinction rate, with two parameters, is a monotonically increasing function for parameter z, and a monotonically decreasing function for parameter A. The overlap index is a monotonically increasing function for parameter A, and a monotonically decreasing function for parameter z, independent of parameter c.ConclusionsThe general formats of SAR, EAR, OAR, overlap index, overlap rate, sampling rate and extinction rate, are derived and extended to power law model and random replacement model as the axiomatic framework of species−area theory. In addition, if the total area is underestimated, the extinction rate will be overestimated.

【 授权许可】

CC BY   
© The Author(s) 2016

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