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首页> 外文期刊>Theoretical Population Biology >Towards a unifying approach to diversity measures: bridging the gap between the Shannon entropy and Rao's quadratic index
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Towards a unifying approach to diversity measures: bridging the gap between the Shannon entropy and Rao's quadratic index

机译：朝着多样性测度的统一方法迈进：弥合香农熵和Rao二次指数之间的差距

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摘要

The diversity of a species assemblage has been studied extensively for many decades in relation to its possible connection with ecosystem functioning and organization. In this view most diversity measures, such as Shannon's entropy, rely upon information theory as a basis for the quantification of diversity. Also, traditional diversity measures are computed using species relative abundances and cannot account for the ecological differences between species. Rao first proposed a diversity index, termed quadratic diversity (Q) that incorporates both species relative abundances and pairwise distances between species. Quadratic diversity is traditionally defined as the expected distance between two randomly selected individuals. In this paper, we show that quadratic diversity can be interpreted as the expected conflict among the species of a given assemblage. From this unusual interpretation, it naturally follows that Rao's Q can be related to the Shannon entropy through a generalized version of the Tsallis parametric entropy.
机译：关于物种集合的多样性与其与生态系统功能和组织的可能联系有关，已经进行了数十年的广泛研究。按照这种观点，大多数多样性度量（例如Shannon熵）都依赖于信息论作为量化多样性的基础。同样，传统的多样性测度是使用物种相对丰度计算的，不能解释物种之间的生态差异。 Rao首先提出了一种多样性指数，称为二次多样性（Q），该指数结合了物种的相对丰度和物种之间的成对距离。传统上，二次多样性是指两个随机选择的个体之间的预期距离。在本文中，我们表明二次多样性可以解释为给定组合的物种之间的预期冲突。从这种不寻常的解释中，自然可以得出结论，通过Tsallis参数熵的广义形式，Rao Q可以与Shannon熵相关。

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