Rao's quadratic entropy as a measure of functional diversity based on multiple traits
Rao's quadratic entropy as a measure of functional diversity based on multiple traits
复制标题
DOI：
10.1111/j.1654-1103.2005.tb02393.x
复制
发表时间：
2005-10-01
影响因子：
2.8
通讯作者：
Botta-Dukát, Z
中科院分区：
文献类型：
--
作者：
Botta-Dukát, Z
问题：如果考虑到几个特征，Rao的二次熵是功能多样性的合适度量吗？方法：检验Rao的二次熵（FDQ）是否满足Mason等人提出的先验准则。一个真实的数据集表明，在功能多样性最大化的丰度分布中往往存在零。结果与结论：由于FDQ包含了物种丰度和多个性状，因此满足所有先验条件，优于其他指标。因此，与目前可用的功能多样性测量方法相比，它似乎是一种改进。FDQ的一个意想不到的特性是其值可能随着物种丰富度的增加而降低。其原因是功能多样性既受物种丰度多样性的影响，也受物种间差异的影响。新物种的引入增加了基于物种丰度的多样性，同时可能降低物种间的平均不相似性。
Question: Is Rao's quadratic entropy a suitable measure of functional diversity if several traits are considered?Methods: It is checked whether Rao's quadratic entropy (FDQ) satisfies a priori criteria suggested by Mason et al. A real data set is used to show that there are often zeros in abundance distributions which maximize functional diversity.Results and Conclusion: FDQ fulfils all a priori criteria and it surpasses other proposed indices, because it includes species abundances and more than one trait. Therefore, it seems to be an improvement compared to measures of functional diversity that are currently available. An unexpected property of FDQ is that its value may decrease if species richness increases. The reason is that functional diversity is influenced by both species-abundance based diversity and differences among species. Introduction of a new species into the community increases the species-abundance based diversity, while it may decrease the average dissimilarity among species.