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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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Towards novel approaches to modelling biotic interactions in multispecies assemblages at large spatial extents
W. D. Kissling,Carsten F. Dormann,Carsten F. Dormann,Juergen Groeneveld,Juergen Groeneveld,Thomas Hickler,Ingolf Kühn,Greg J. McInerny,José M. Montoya,Christine Römermann,Christine Römermann,Katja Schiffers,Frank M. Schurr,Frank M. Schurr,Alexander Singer,Jens-Christian Svenning,Niklaus E. Zimmermann,Robert B. O'Hara +17 more
TL;DR: This synthesis outlines the development of ‘species interaction distribution models’ (SIDMs), which aim to incorporate multispecies interactions at large spatial extents using interaction matrices using error matrices in multivariate regression models.
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The evolution of host specialization : are trade-offs overrated?
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The dynamics of density dependent population models.
TL;DR: A theoretical analysis of the mathematical mechanisms underlying this complexity from the viewpoint of modern dynamical systems theory on a density-dependent Leslie model with two age classes and the existence of a "strange attractor" is demonstrated.
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A competitive exclusion principle for pathogen virulence.
TL;DR: For a modified Anderson and May model of host parasite dynamics it is shown that infections of different levels of virulence die out asymptotically except those that optimize the basic reproductive rate of the causative parasite.
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Global change and multi-species agroecosystems : Concepts and issues
TL;DR: In this article, the authors discuss the hypothesis that complex agricultural systems are more dependable in production and more sustainable in terms of resource conservation than simple ones and discuss three hypotheses on biodiversity and ecosystem function.