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Stochastic Foundations in Movement Ecology

Anomalous Diffusion, Front Propagation and Random Searches

  • Vicenç Méndez
  • Daniel Campos
  • Frederic Bartumeus

Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Theoretical Foundations

    1. Front Matter
      Pages 1-1
    2. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 3-21
    3. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 23-59
  3. Stochastic Modelling for Dispersal and Movement

    1. Front Matter
      Pages 61-61
    2. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 63-111
    3. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 113-148
    4. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 149-176
    5. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 177-205
  4. Selected Applications

    1. Front Matter
      Pages 207-207
    2. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 209-244
    3. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 245-266
    4. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 267-288
  5. Vicenç Méndez, Daniel Campos, Frederic Bartumeus
    Pages E1-E1
  6. Back Matter
    Pages 289-310

About this book

Introduction

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.

Keywords

Continuous-Time Random Walk Dispersal Ecology Front Propagation Lévy flights and walks Optimal Foraging Stochastic reaction-diffusion processes

Authors and affiliations

  • Vicenç Méndez
    • 1
  • Daniel Campos
    • 2
  • Frederic Bartumeus
    • 3
  1. 1.Dept. de Fisica Grup de Fisica EstadisticaUniversitat Autònoma de BarcelonaCerdanyola del Vallés (Bellaterra)Spain
  2. 2.Dept. de Fisica Grup de Fisica EstadisticaUniversitat Autònoma de BarcelonaCerdanyola del Vallès (Bellaterra)Spain
  3. 3.Centre d`Estudis Avancats de BlanesBlanes (Girona)Spain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-39010-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-39009-8
  • Online ISBN 978-3-642-39010-4
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site
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