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Chaos in ecology : experimental nonlinear dynamics / J.M. Cushing ... [et al.].
- Format:
- Book
- Series:
- Theoretical ecology series.
- Academic Press theoretical ecology series
- Language:
- English
- Subjects (All):
- Ecology--Mathematical models.
- Ecology.
- Population biology--Mathematical models.
- Population biology.
- Chaotic behavior in systems.
- Nonlinear theories.
- Physical Description:
- 1 online resource (241 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Amsterdam : Boston : Academic Press, c2003.
- Language Note:
- English
- Summary:
- 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 dyn
- 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-Chaos4.2 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
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 183-193).
- ISBN:
- 1-281-02713-8
- 9786611027131
- 0-08-052887-2
- OCLC:
- 476079210
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