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Stability and Complexity in Model Ecosystems
Robert M. May,N. MacDonald +1 more
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Preface vii Preface to the Second Edition Biology Edition 1.Abstract:
Preface vii Preface to the Second Edition Biology Edition 1. Intoduction 3 2. Mathematical Models and Stability 13 3. Stability versus Complexity in Multispecies Models 4. Models with Few Species: Limit Cycles and Time Delays 79 5. Randomly Fluctuating Environments 109 6. Niche Overlap and Limiting Similarity 139 7. Speculations 172 Appendices 187 Afterthoughts for the Second Edition 211 Bibliography to Afterthoghts 234 Bibliography 241 Author Index 259 Subject Index 263read more
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Journal ArticleDOI
Distributed delays facilitate amplitude death of coupled oscillators.
TL;DR: Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather than concentrated at a point.
Journal ArticleDOI
Disturbance‐driven changes in the variability of ecological patterns and processes
TL;DR: By considering variability as a response to disturbance, this paper gains another metric of fundamental system behaviour, an improved ability to identify organizing features of ecosystems and a better understanding of the predictability of disturbance-driven change - all critical aspects of assessing ecosystem response to disturbances.
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Biodiversity and species competition regulate the resilience of microbial biofilm community.
Kai Feng,Zhaojing Zhang,Zhaojing Zhang,Weiwei Cai,Weiwei Cai,Wenzong Liu,Meiying Xu,Huaqun Yin,Aijie Wang,Zhili He,Zhili He,Ye Deng +11 more
TL;DR: This study investigated the resilience of biofilm communities with a gradient of diversity, and explored the relationship between biodiversity and stability in response to a pH shock, showing that all bioreactors could recover to stable performance after pH disturbance.
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Predicting ecosystem stability from community composition and biodiversity
Claire de Mazancourt,Claire de Mazancourt,Forest Isbell,Forest Isbell,Allen Larocque,Frank Berendse,Enrica De Luca,James B. Grace,Bart Haegeman,Bart Haegeman,H. Wayne Polley,Christiane Roscher,Bernhard Schmid,David Tilman,Jasper van Ruijven,Alexandra Weigelt,Brian J. Wilsey,Michel Loreau,Michel Loreau +18 more
TL;DR: A theory that predicts the temporal variability of community biomass from the properties of individual component species in monoculture shows that biodiversity stabilises ecosystems through three main mechanisms: asynchrony in species' responses to environmental fluctuations, reduced demographic stochasticity due to overyielding in species mixtures and reduced observation error.
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Symmetrical overhead in flow networks
TL;DR: Employing the joint entropy, instead of the conditional entropy, to characterize the overhead, results in a symmetrical overhead and also permits the decomposition of the system capacity, or complexity, into components useful in following the response of the whole system to perturbations.