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Computational Ecology and Software, 2017, 7(1): 1-7
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Article

A new model to describe the relationship between species richness and sample size

WenJun Zhang
School of Life Sciences, Sun Yat-sen University, Guangzhou 510275, China; International Academy of Ecology and Environmental Sciences, Hong Kong

Received 15 December 2016;Accepted 12 January 2017;Published 1 March 2017
IAEES

Abstract
In the sampling of species richness, the number of newly found species declines as increase of sample size, and the number of distinct species tends to an upper asymptote as sample size tends to the infinity. This leads to a curve of species richness vs. sample size. In present study, I follow my principle proposed earlier (Zhang, 2016), and re-develop the model, y=K(1-e-rx/K), for describing the relationship between species richness (y) and sample size (x), where K is the expected total number of distinct species, and r is the maximum variation of species richness per sample size (i.e., max dy/dx). Computer software and codes were given.

Keywords sampling;species richness;sample size;curve;model.


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