A Unified Approach to Abundance-Based Similarity Indices

碩士 === 國立成功大學 === 統計學系碩博士班 === 95 === For comparing two communities, different similarity indices based on species relative abundance data have been proposed in the past. A new class of similarity indices, in which various indices can be defined according to different parameter values, is described...

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Bibliographic Details
Main Authors: Fang-Yi Su, 蘇芳儀
Other Authors: Mi-Chia Ma
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/28561431663201347241
Description
Summary:碩士 === 國立成功大學 === 統計學系碩博士班 === 95 === For comparing two communities, different similarity indices based on species relative abundance data have been proposed in the past. A new class of similarity indices, in which various indices can be defined according to different parameter values, is described in this article. Some of the similarity indices proposed in the past can be included in this class as well, such as Morisita-Horn index, abundance Jaccard index, and abundance Sorensen index. The properties of the proposed indices are described and compared to the conventional indices. Asymptotically consistent estimators of the indices are proposed. The effects of different sample sizes and species diversities on different indices in the proposed index family are illustrated by simulation studies. Also the proposed indices are compared to the conventional ones on the data of successional vegetation in six tropical forests.