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Stability and Complexity in Model Ecosystems

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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 263

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The connectance of real ecosystems

TL;DR: In this article, the authors analyse a sample of community food webs (the webs of ref. 4 are sink webs), and find a somewhat slower decrease of connectance with increasing species richness.
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Limiting similarity and the form of the competition coefficient.

TL;DR: The generality of this formula is questioned and two alternative expressions for olij are proposed and it is suggested that the Lotka-Volterra model is not sufficient in an investigation of limiting similarity.
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Fish species diversity on model and natural reef patches: experimental insular biogeography'

TL;DR: Observations of selected fish species inhabiting model reefs support the hypothesis that vertical zonation is a means of resource partitioning in these fish communities, and a negative correlation was found between reef isolation and number of fish species on patch reefs.
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Qualitative stability and ambiguity in model ecosystems.

TL;DR: This work reexamine Hurwitz’s principal theorem for stability and proposes two “Hurwitz criteria” that address different aspects of instability: positive feedback and insufficient lower‐level feedback, and derives two qualitative metrics based on these criteria that identify two classes of models that may have significant relevance to system research and management.
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Long-Term Stasis in Ecological Assemblages: Evidence from the Fossil Record*

TL;DR: There is great potential for enhanced interaction between paleoecology and neoecology in understanding spatiotemporal complexity of ecological dynamics and greater uniformity is needed in the approaches to studying the problem.