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The Community Matrix and the Number of Species in a Community.

The Community Matrix and the Number of Species in a Community. In this paper I am concerned with the number of species that will be held in stable equilibrium in a community of competing organisms, using the general form of the Lotka-Volterra competition equations for m species. Defining Ki as the saturation density for the ith species and αij as the competition coefficient between species i and j, and Ni as the equilibrium density of species i, the number of species will be determined by N̄, K̄, $$\overline{\alpha}$$ , var (K), the covariances among the α's, and the covariance between α and N. In particular, the number of species increases as K̄ increases but as N̄, $$\overline{\alpha}$$ , cov (α), cov (α,N) and variance of K decrease. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The American naturalist Pubmed

The Community Matrix and the Number of Species in a Community.

The American naturalist , Volume 104 (935): 11 – Mar 7, 2018

The Community Matrix and the Number of Species in a Community.


Abstract

In this paper I am concerned with the number of species that will be held in stable equilibrium in a community of competing organisms, using the general form of the Lotka-Volterra competition equations for m species. Defining Ki as the saturation density for the ith species and αij as the competition coefficient between species i and j, and Ni as the equilibrium density of species i, the number of species will be determined by N̄, K̄, $$\overline{\alpha}$$ , var (K), the covariances among the α's, and the covariance between α and N. In particular, the number of species increases as K̄ increases but as N̄, $$\overline{\alpha}$$ , cov (α), cov (α,N) and variance of K decrease.

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ISSN
0003-0147
DOI
10.1086/282641
pmid
29513551

Abstract

In this paper I am concerned with the number of species that will be held in stable equilibrium in a community of competing organisms, using the general form of the Lotka-Volterra competition equations for m species. Defining Ki as the saturation density for the ith species and αij as the competition coefficient between species i and j, and Ni as the equilibrium density of species i, the number of species will be determined by N̄, K̄, $$\overline{\alpha}$$ , var (K), the covariances among the α's, and the covariance between α and N. In particular, the number of species increases as K̄ increases but as N̄, $$\overline{\alpha}$$ , cov (α), cov (α,N) and variance of K decrease.

Journal

The American naturalistPubmed

Published: Mar 7, 2018

There are no references for this article.