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Functional diversity through the mean trait dissimilarity: resolving shortcomings with existing paradigms and algorithms

机译:通过均值特征差异实现功能多样性:解决现有范式和算法的不足

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摘要

While an increasing number of indices for estimating the functional trait diversity of biological communities are being proposed, there is a growing demand by ecologists to clarify their actual implications and simplify index selection. Several key indices relate to mean trait dissimilarity between species within biological communities. Among them, the most widely used include (a) the mean species pairwise dissimilarity (MPD) and (b) the Rao quadratic entropy (and related indices). These indices are often regarded as redundant and promote the unsubstantiated yet widely held view that Rao is a form of MPD. Worryingly, existing R functions also do not always simplify the use and differentiation of these indices. In this paper, we show various distinctions between these two indices that warrant mathematical and biological consideration. We start by showing an existing form of MPD that considers species abundances and is different from Rao both mathematically and conceptually. We then show that the mathematical relationship between MPD and Rao can be presented simply as Rao = MPD x Simpson, where the Simpson diversity index is defined as 1 - dominance. We further show that this relationship is maintained for both species abundances and presence/absence. This evidence dismantles the paradigm that the Rao diversity is an abundance-weighted form of MPD and indicates that both indices can differ substantially at low species diversities. We discuss the different interpretations of trait diversity patterns in biological communities provided by Rao and MPD and then provide a simple R function, called "melodic," which avoids the unintended results that arise from existing mainstream functions.
机译:虽然提出了越来越多的用于估计生物群落功能性状多样性的指标,但生态学家对澄清其实际含义和简化指标选择的需求日益增长。几个关键指标涉及生物群落中物种之间的平均性状差异。其中,使用最广泛的包括(a)平均物种成对相异性(MPD)和(b)Rao二次熵(及相关指数)。这些索引通常被认为是多余的,并提倡了未经证实但仍被广泛接受的观点,即饶是MPD的一种形式。令人担忧的是,现有的R函数也并不总是简化这些索引的使用和区分。在本文中,我们显示了这两个指标之间的各种区别,值得对数学和生物学进行考量。我们首先显示一个现有的MPD形式,该形式考虑了物种的丰富度,并且在数学和概念上均与Rao不同。然后,我们证明MPD与Rao之间的数学关系可以简单地表示为Rao = MPD x Simpson,其中Simpson分集指数定义为1-优势。我们进一步表明,这种关系对于物种的丰度和存在/不存在均保持不变。该证据消除了Rao多样性是MPD的丰富度加权形式的范式,并表明在低物种多样性时,两个指数可能会有很大差异。我们讨论了Rao和MPD提供的生物群落中性状多样性模式的不同解释,然后提供了一个简单的R函数(称为“旋律”),该函数避免了现有主流函数产生的意外结果。

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