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A Multiple-community Overlap Measure Based on a Probabilistic Approach
Authors:Jack C Yue  Murray K Clayton
Institution:1. Department of Statistics, National Chengchi University, Taipei, Taiwan, ROC;2. Department of Statistics, University of Wisconsin-Madison, Madison, Wisconsin, USA
Abstract:Species diversity indices are designed to measure the species diversity of a community and to compare the species distribution structure of two communities. The Shannon and Simpson indices are for describing one community, and the Jaccard and Morisita indices are for comparing two communities. Only a few indices allow the simultaneous comparison of three or more communities. In this study, we propose a multiple-community similarity index based on a probabilistic approach, and compare it with other multiple-community indices. Empirical examples are considered as a demonstration of the proposed similarity indices.
Keywords:Delta method  Jaccard index  Maximum likelihood estimator  Shannon index  Similarity index  Simpson index  Species diversity
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