Stochastic Foundations in Movement Ecology
Anomalous Diffusion, Front Propagation and Random Searches
Authors: Méndez, Vicenç, Campos, Daniel, Bartumeus, Frederic
Free Preview- First textbook style introduction to this emerging field
- Contains exercises and solutions
- Co-authored by leading researchers with complementary backgrounds
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- About this book
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This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lévy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitatively describing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies.
Adopting a self-contained, textbook-style approach, the authors provide the elements of statistical physics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicit definition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems.
Including numerous exercises (with solutions), this text is aimed at graduate students and newcomers in this field at the interface of theoretical ecology, mathematical biology and physics. - Reviews
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From the book reviews:
“This book … attempts to provide an overview of the essential mathematical, physical and modelling aspects which describe the motion of living entities at various scales. … This book is interdisciplinary, intuitive and versatile, bridging a gap between mathematics and ecology in a pedagogically sound and scientifically relevant manner, from which a broad audience may benefit.” (Paul Georgescu, zbMATH, Vol. 1295, 2014)
- Table of contents (10 chapters)
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Elements of Probability Theory
Pages 3-21
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Introduction to Stochastic Processes
Pages 23-59
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Microscopic, Mesoscopic and Macroscopic Descriptions of Dispersal
Pages 63-111
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Anomalous Diffusion and Continuous-Time Random Walks
Pages 113-148
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Reaction-Dispersal Models and Front Propagation
Pages 149-176
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Stochastic Foundations in Movement Ecology
- Book Subtitle
- Anomalous Diffusion, Front Propagation and Random Searches
- Authors
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- Vicenç Méndez
- Daniel Campos
- Frederic Bartumeus
- Series Title
- Springer Series in Synergetics
- Copyright
- 2014
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-39010-4
- DOI
- 10.1007/978-3-642-39010-4
- Hardcover ISBN
- 978-3-642-39009-8
- Softcover ISBN
- 978-3-662-50868-8
- Series ISSN
- 0172-7389
- Edition Number
- 1
- Number of Pages
- XVII, 310
- Number of Illustrations
- 68 b/w illustrations, 16 illustrations in colour
- Topics
