A search for maximum species abundances in ecological communities under conditional diversity optimization

被引：2

作者：

Alexeyev V.L. ^{[1
]}

Levich A.P. ^{[1
]}

机构：

[1] Dept. Zool. Vertebr. and Gen. Ecol., Biology Faculty, Moscow State University, Vorobyovy Gory

来源：

Bulletin of Mathematical Biology | 1997年 / 59卷 / 4期

关键词：

Batch Culture; Goal Function; Rank Distribution; Resource Factor; Cell Quota;

D O I：

10.1007/BF02458424

中图分类号：

学科分类号：

摘要：

We study a multispecies community of autotrophic microorganisms which grow in a batch culture regime with several perfectly complementary resources. A basic hypothesis is that a stationary phase of the polyculture corresponds to a maximum diversity under the constraints having the meaning of matter conservation laws. The corresponding conditional extremum problem is studied in detail. It is shown that a unique solution to this problem - a 'species structure formula' - adequately describes the experimental data. We prove a number of strict statements concerning the domain of definition and maxima of the obtained solutions. These statements find an adequate interpretation as limitation principles in ecology and in the problems of community structure control.

引用

页码：649 / 677

页数：28

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