Chaos in Ecology (eBook)
225 Seiten
Elsevier Science (Verlag)
978-0-08-052887-8 (ISBN)
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.
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 "e;chaos"e; and is rendered intuitive by the oft-repeated metaphor: "e;A butterfly beats its wings in China and causing a thunderstorm in the Midwest."e; 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
Front Cover 1
Chaos in Ecology: Experimental Nonlinear Dynamics 4
Copyright Page 5
Contents 8
Foreword 10
Preface 13
Chapter 1. Introduction 16
1.1 What Is Chaos? 19
1.2 Bifurcations and Chaos 21
1.3 The Hunt for Chaos 32
1.4 Mathematical Models and Data 36
Chapter 2. Models 42
2.1 The Deterministic LPA Model 44
2.2 The Flour Beetle 51
2.3 Dynamics of the LPA Model 56
2.4 A Stochastic LPA Model 61
2.5 Parameter Estimation 68
2.6 Model Validation 73
2.7 Predicted Dynamics 77
2.8 Concluding Remarks 92
Chapter 3. Bifurcations 96
3.1 A Bifurcation Experiment 96
3.2 The Experimental Results 106
3.3 Concluding Remarks 113
Chapter 4. Chaos 116
4.1 A Route-to-Chaos 117
4.2 Demographic Variability 122
4.3 Analysis of the Experiment 127
4.4 Concluding Remarks 158
Chapter 5. Patterns in Chaos 162
5.1 Sensitivity to Initial Conditions 164
5.2 Temporal Patterns 168
5.3 Lattice Effects 174
5.4 Concluding Remarks 186
Chapter 6. What We Learned 188
Bibliography 198
Appendix 210
A The Desharnais Experiment 210
B The Bifurcation Experiment 211
C The Chaos Experiment 228
Index 238
Erscheint lt. Verlag | 11.12.2002 |
---|---|
Sprache | englisch |
Themenwelt | Naturwissenschaften ► Biologie ► Evolution |
Naturwissenschaften ► Biologie ► Ökologie / Naturschutz | |
Naturwissenschaften ► Geowissenschaften ► Geografie / Kartografie | |
Technik | |
ISBN-10 | 0-08-052887-2 / 0080528872 |
ISBN-13 | 978-0-08-052887-8 / 9780080528878 |
Haben Sie eine Frage zum Produkt? |
Größe: 14,1 MB
Kopierschutz: Adobe-DRM
Adobe-DRM ist ein Kopierschutz, der das eBook vor Mißbrauch schützen soll. Dabei wird das eBook bereits beim Download auf Ihre persönliche Adobe-ID autorisiert. Lesen können Sie das eBook dann nur auf den Geräten, welche ebenfalls auf Ihre Adobe-ID registriert sind.
Details zum Adobe-DRM
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen eine
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen eine
Geräteliste und zusätzliche Hinweise
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich