Cushing / Costantino / Dennis Chaos in Ecology

Experimental Nonlinear Dynamics
1. Auflage 2002
ISBN: 978-0-08-052887-8
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band Volume 1, 225 Seiten, Web PDF

Reihe: Theoretical Ecology Series

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

Autoren/Hrsg.

Cushing, J. M.

Costantino, Robert F.

Dennis, Brian

Desharnais, Robert

Henson, Shandelle Marie

Inhaltsverzeichnis

1;Front Cover;1
2;Chaos in Ecology: Experimental Nonlinear Dynamics;4
3;Copyright Page;5
4;Contents;8
5;Foreword;10
6;Preface;13
7;Chapter 1. Introduction ;16
7.1;1.1 What Is Chaos? ;19
7.2;1.2 Bifurcations and Chaos;21
7.3;1.3 The Hunt for Chaos ;32
7.4;1.4 Mathematical Models and Data ;36
8;Chapter 2. Models;42
8.1;2.1 The Deterministic LPA Model ;44
8.2;2.2 The Flour Beetle ;51
8.3;2.3 Dynamics of the LPA Model;56
8.4;2.4 A Stochastic LPA Model ;61
8.5;2.5 Parameter Estimation;68
8.6;2.6 Model Validation;73
8.7;2.7 Predicted Dynamics ;77
8.8;2.8 Concluding Remarks;92
9;Chapter 3. Bifurcations;96
9.1;3.1 A Bifurcation Experiment ;96
9.2;3.2 The Experimental Results;106
9.3;3.3 Concluding Remarks ;113
10;Chapter 4. Chaos;116
10.1;4.1 A Route-to-Chaos ;117
10.2;4.2 Demographic Variability ;122
10.3;4.3 Analysis of the Experiment ;127
10.4;4.4 Concluding Remarks;158
11;Chapter 5. Patterns in Chaos;162
11.1;5.1 Sensitivity to Initial Conditions;164
11.2;5.2 Temporal Patterns;168
11.3;5.3 Lattice Effects ;174
11.4;5.4 Concluding Remarks;186
12;Chapter 6. What We Learned;188
13;Bibliography;198
14;Appendix;210
14.1;A The Desharnais Experiment;210
14.2;B The Bifurcation Experiment;211
14.3;C The Chaos Experiment;228
15;Index;238