Stability vs.Complexity in Model Competition Communities

  • Pavel Kindlmann
Conference paper
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 54)


The question of the so-called stability vs. complexity relationship, i.e. the question whether a complex ecosystem tends to be more or less stable than a simple one, was broadly discussed in recent years. In the ’fifties, ecologists put forward the hypothesis that complex biological communities are more stable than simple ones (Mac Arthur, 1955; Elton, 1958; Hutchinson, 1959), but recent theoretical investigations have demonstrated that stability is not a simple mathematical consequence of complexity. The contrary frequently seems to be true (Gardner and Ashby, 1970; May, 1972; Hastings, 1982a, 1982b). The general context in which these studies are of biological interest has recently been well surveyed by Pimm (1982).


Eigenvalue Distribution Break Curve Competitive System Large Real Part Auxiliary Matrice 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Pavel Kindlmann

There are no affiliations available

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