Cover image for Chaos in Ecology : Experimental Nonlinear Dynamics.
Chaos in Ecology : Experimental Nonlinear Dynamics.
Title:
Chaos in Ecology : Experimental Nonlinear Dynamics.
Author:
Cushing, J. M.
ISBN:
9780080528878
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (241 pages)
Series:
Theoretical Ecology Series ; v.1

Theoretical Ecology Series
Contents:
Front Cover -- Chaos in Ecology: Experimental Nonlinear Dynamics -- Copyright Page -- Contents -- Foreword -- Preface -- Chapter 1. Introduction -- 1.1 What Is Chaos? -- 1.2 Bifurcations and Chaos -- 1.3 The Hunt for Chaos -- 1.4 Mathematical Models and Data -- Chapter 2. Models -- 2.1 The Deterministic LPA Model -- 2.2 The Flour Beetle -- 2.3 Dynamics of the LPA Model -- 2.4 A Stochastic LPA Model -- 2.5 Parameter Estimation -- 2.6 Model Validation -- 2.7 Predicted Dynamics -- 2.8 Concluding Remarks -- Chapter 3. Bifurcations -- 3.1 A Bifurcation Experiment -- 3.2 The Experimental Results -- 3.3 Concluding Remarks -- Chapter 4. Chaos -- 4.1 A Route-to-Chaos -- 4.2 Demographic Variability -- 4.3 Analysis of the Experiment -- 4.4 Concluding Remarks -- Chapter 5. Patterns in Chaos -- 5.1 Sensitivity to Initial Conditions -- 5.2 Temporal Patterns -- 5.3 Lattice Effects -- 5.4 Concluding Remarks -- Chapter 6. What We Learned -- Bibliography -- Appendix -- A The Desharnais Experiment -- B The Bifurcation Experiment -- C The Chaos Experiment -- Index.
Abstract:
It is impossible to predict the exact behavior of all biological systems and how these same systems are exemplified by patterns of complexity and regularity. Decades of research in ecology have documented how these sorts of patterns are the consequences of deceptively simple rules that determine the nature of the patterns created. Chaos in Ecology will explain how simple beginnings result in complicated results. Chaos in Ecology is the inaugural volume of Theoretical Ecology Series. The authors of this volume have employed data from a proven model system in population dynamics. As a result, this book will be of interest to anyone interested in the ecology of populations. It is impossible to predict the exact behavior of almost all biological systems and yet these same systems are exemplified by patterns of complexity and regularity. Decades of research in ecology have documented that these sorts of patterns are the consequence of deceptively simple rules that determine the nature of the patterns created. In essence, simple beginnings result in complicated results. This realization is captured in the mathematical notion of "chaos" and is rendered intuitive by the oft-repeated metaphor: "A butterfly beats its wings in China and causing a thunderstorm in the Midwest." Thus, seemingly trivial initial conditions (e.g. a butterfly in China) cascade through a series of intermediate events to create a significant large-scale event (e.g. a thunderstorm). Chaos in Ecology is the inaugural volume of Theoretical Ecology Series. The authors of this volume have employed data from a proven model system in population dynamics. As a result, this book will be of interest to anyone interested in the ecology of populations.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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