Partitioning diversity into independent alpha and beta components
Partitioning diversity into independent alpha and beta components
复制标题
DOI：
10.1890/06-1736.1
复制
发表时间：
2007-10-01
期刊：
影响因子：
4.8
通讯作者：
Jost, Lou
中科院分区：
文献类型：
--
作者：
Jost, Lou
现有的β多样性的一般定义通常会产生对α具有隐藏依赖性的β。这样的β不能用于比较α多样性不同的区域。为了避免误解，现有的α和β的定义必须被一个将多样性划分为独立的α和β分量的定义所取代。这样一个独特的定义就是在这里得出的。当这些新的alpha和beta分量被转换成它们的等价数（元素的有效数）时，惠特克乘法定律（alpha x beta gamma）对所有指数都必然成立。新的测试版给出了不同社区的有效数量。最流行的生态学相似性和重叠的措施（Jaccard，索伦森，霍恩，和Morisita-Horn指数）是新的β多样性的单调变换。香农措施遵循演绎从这种形式主义，并不需要借用信息论，他们被证明是唯一的标准多样性措施，可以分解成有意义的独立的α和β分量时，社区的权重是不平等的。
Existing general definitions of beta diversity often produce a beta with a hidden dependence on alpha. Such a beta cannot be used to compare regions that differ in alpha diversity. To avoid misinterpretation, existing definitions of alpha and beta must be replaced by a definition that partitions diversity into independent alpha and beta components. Such a unique definition is derived here. When these new alpha and beta components are transformed into their numbers equivalents ( effective numbers of elements), Whittaker's multiplicative law ( alpha x beta gamma) is necessarily true for all indices. The new beta gives the effective number of distinct communities. The most popular similarity and overlap measures of ecology (Jaccard, Sorensen, Horn, and Morisita-Horn indices) are monotonic transformations of the new beta diversity. Shannon measures follow deductively from this formalism and do not need to be borrowed from information theory; they are shown to be the only standard diversity measures which can be decomposed into meaningful independent alpha and beta components when community weights are unequal.