The Stability of Ecosystems

Stability criteria and phase boundaries for complex ecosystems are obtained and contrasted with previously studied scenarios. The stability of such systems is determined by the behaviour of the largest eigenvalue of matrices governing the response of the system to small perturbations. As a result we...

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Veröffentlicht in:Proceedings of the Royal Society of London. Series B, Biological sciences Biological sciences, 1989-06, Vol.237 (1286), p.43-51
Hauptverfasser: Hogg, T., Huberman, B. A., McGlade, Jacqueline M.
Format: Artikel
Sprache:eng
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Zusammenfassung:Stability criteria and phase boundaries for complex ecosystems are obtained and contrasted with previously studied scenarios. The stability of such systems is determined by the behaviour of the largest eigenvalue of matrices governing the response of the system to small perturbations. As a result we show that ecosystems with unstructured cooperative interactions between arbitrary species can be less stable than had been previously determined. We also examine hierarchical ecologies, and demonstrate their increased stability under certain conditions.
ISSN:0962-8452
0080-4649
0950-1193
1471-2954
2053-9193
DOI:10.1098/rspb.1989.0035