Journal of Applied Science and Engineering

Published by Tamkang University Press


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Chia-Jui Chuang This email address is being protected from spambots. You need JavaScript enabled to view it.1

1Applied Mathematics, National Chung Hsing University, Taichung, Taiwan 402, R.O.C.


Received: August 8, 2011
Accepted: November 14, 2011
Publication Date: September 1, 2012

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The similarity indices are often used to assess the biodiversity of two communities. Because some species are not observed in the samples, the common naive estimators may be unsatisfactory. Based on the quadrat sampling, a series of two-sample jackknife estimators for the Jaccard and Sørensen indices are developed. The sequence of estimators is able to reduce bias by increasing the jackknife order; however, it may result in a large variation with the increasing order. To compensate for the bias-variance trade-off, we consider a sequential testing procedure to select the jackknife order. A simulation study based on two real forest plots is used to evaluate the performance of the proposed method.

Keywords: Jaccard Index, Sørensen Index, Two-Sample Jackknife, Quadrat Sampling


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