Chaos in Ecology, Volume 1

1st Edition

Experimental Nonlinear Dynamics

Authors: J. M. Cushing Robert Costantino Brian Dennis Robert Desharnais Shandelle Henson
Hardcover ISBN: 9780121988760
eBook ISBN: 9780080528878
Imprint: Academic Press
Published Date: 15th October 2002
Page Count: 225
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Table of Contents

Introduction. Models. Bifurcations. Chaos. Patterns in Chaos. What We Learned. Bibliography. Appendix.

Description

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.

Key Features

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.

Readership

Ecologists, biologists, paleontologists and graduate students interested in ecology.


Details

No. of pages:
225
Language:
English
Copyright:
© Academic Press 2003
Published:
Imprint:
Academic Press
eBook ISBN:
9780080528878
Hardcover ISBN:
9780121988760

Reviews

"The authors have made very circumspect model verifications...The greatest merit of the book is that it confirms experimentally the existence of numerous nonlinear phenomena in populations and presents a new characteristic of populations, that is, the lattice effect. The book is written in an excellent style with high mathematical precision. This work is warmly recommended to all theoretical and field ecologists, and all scientists interested in nonlinear dynamics." -COMMUNITY ECOLOGY (2005) "...rich in statistical concepts and methods. Anyone interested in the dynamics of populations will benefit from reading this book." -ECOLOGY (2003) "In a very real sense, Cushing et al. have done for ecology what Newton did for physics. They have demonstrated that the observed, very complex behavior of biological populations can, at least in principle, be derived and predicted from a knowledge of the operant biological mechanisms expressed in simple mathematical models. ...Chaos in Ecology is a road-map for making ecology into a genuinely predictive science." -Aaron A. King, University of Tennessee (2002) "This is the definitive source on chaos in ecology. Well-written and authoritative." -Simon Levin, Princeton University (2002) "Chaos in Ecology ought to be read by both field and theoretical ecologists." -COMPLEX SYSTEMS LAB, BARCELONA SPAIN


About the Authors

J. M. Cushing Author

Robert Costantino Author

Affiliations and Expertise

University of Arizona

Brian Dennis Author

Affiliations and Expertise

University of Idaho

Robert Desharnais Author

Affiliations and Expertise

California State University, Los Angeles

Shandelle Henson Author

Affiliations and Expertise

College of William and Mary