期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 111, 期 50, 页码 17923-17928出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1409077111
关键词
food webs; May's paradox; diversity-stability debate; dynamical stability; complex networks
资金
- Spanish Ministerio de Ciencia e Innovacion
- European Regional Development Fund [FIS2009-08451]
- Junta de Andalucia Proyecto de Excelencia [P09FQM-4682]
- Oxford Centre for Integrative Systems Biology, University of Oxford
- European Commission under the Marie Curie IntraEuropean Fellowship Programme [PIEF-GA-2010-276454]
Why are large, complex ecosystems stable? Both theory and simulations of current models predict the onset of instability with growing size and complexity, so for decades it has been conjectured that ecosystems must have some unidentified structural property exempting them from this outcome. We show that trophic coherence-a hitherto ignored feature of food webs that current structural models fail to reproduce-is a better statistical predictor of linear stability than size or complexity. Furthermore, we prove that a maximally coherent network with constant interaction strengths will always be linearly stable. We also propose a simple model that, by correctly capturing the trophic coherence of food webs, accurately reproduces their stability and other basic structural features. Most remarkably, our model shows that stability can increase with size and complexity. This suggests a key to May's paradox, and a range of opportunities and concerns for biodiversity conservation.
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