A similarity measure based on species proportions
A similarity measure based on species proportions
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DOI：
10.1080/sta-200066418
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发表时间：
2005-01-01
影响因子：
0.8
通讯作者：
Clayton, MK
中科院分区：
文献类型：
--
作者：
Yue, JC;Clayton, MK
有几个指标可以衡量两个种群的相似性，包括共有物种数与不同物种数的比率（杰卡德指数）和观察到共有物种的条件概率（Smith et al., 1996）。然而，这些指数仅考虑物种数量和共有物种的物种比例。在本文中，我们提出了一个新的相似性指数，其中包括每个种群中共享物种和非共享物种的物种比例，并为此指数提出了非参数最大似然估计（NPMLE）。 Bootstrap 和 delta 方法用于评估 NPMLE 的标准误差。基于损失函数，我们还比较了各种情况下所提出的指数的一类非参数估计量。
There are several indices for measuring the similarity of two populations, including the ratio of the number of shared species to the number of distinct species ( Jaccard's index) and the conditional probability of observing a shared species ( Smith et al., 1996). However, these indices only take into account the number of species and species proportions of shared species. In this article, we propose a new similarity index which includes the species proportions of both the shared and non shared species in each population, and also propose a Nonparametric Maximum Likelihood Estimator ( NPMLE) for this index. Bootstrap and delta methods are used to evaluate the standard errors of the NPMLE. Based on a loss function, we also compare a class of nonparametric estimators for the proposed index in various situations.