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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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Mutualism and competition between plants and decomposers: implications for nutrient
John Harte,Ann P. Kinzig +1 more
TL;DR: In this article, the consequences of simultaneous mutualism and competition be- tween plants and decomposers are examined, and testable predictions about nutrient allocation in ecosystems follow from the assumption that decomposes allocate for their own growth the fraction of mineralized nutrient that maximizes their population biomass, leaving the remainder available for plant uptake.
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Press perturbations and the predictability ofecological interactions in a food web
TL;DR: In this paper, the authors evaluated the utility of the inverse community matrix in predicting the outcomes of field press experiments in an old-field food web and showed that the degree and the sources of uncertainty were predictable for each species.
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Stability criteria for complex microbial communities
Stacey Butler,James P. O'Dwyer +1 more
TL;DR: The authors explore the stability of microbial networks based on the consumption and exchange of resources, showing that asymmetry in crossfeeding relationships can destabilize networks.
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Aggregation and removal of weak-links in food-web models: system stability and recovery from disturbance
TL;DR: In this paper, the authors used a detailed Ecopath with Ecosim (EwE) model of the Barents Sea to test the impacts of food-web aggregation and the removal of weak linkages.
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A reexamination of stability in randomly varying versus deterministic environments with comments on the stochastic theory of limiting similarity.
TL;DR: This paper shows by example that May's qualitative stability criterion does not ensure stability in any sense unless restrictive conditions on the form of the model are satisfied and alternative methods of analysis are proposed.