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Abundances of Species and Limitation Strata in a Variational Model of an Ecological Community

机译：生态群落变异模型中的物种丰富度和限制层

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摘要

A variational problem is posed to find the relative abundances of species in a community in the stationary growth phase, and a stratification theorem is formulated. Algorithms are derived to determine the relative abundances of species in communities consisting of two or three species consuming two or three resources. The boundaries are described for limitation strata where there are one, two, or three limiting resources. For a community consisting of two species consuming two resources, an explicit expression is obtained for the relative abundance of species as a function of the ratio between the contents of the resources, and the form of this expression for actual demands of organisms for environmental resources is demonstrated.
机译：提出了一个变分问题，以寻找固定生长阶段群落中物种的相对丰度，并提出了分层定理。推导算法来确定由两个或三个消耗两种或三种资源的物种组成的社区中物种的相对丰度。为存在一个，两个或三个限制资源的限制层描述了边界。对于由消耗两种资源的两个物种组成的社区，可以根据资源含量之间的比率获得物种相对丰度的显式表达式，并且该表达式对于生物体实际对环境资源的需求为演示。

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