Skip to main content
  • Book
  • © 2014

Stochastic Foundations in Movement Ecology

Anomalous Diffusion, Front Propagation and Random Searches

  • First textbook style introduction to this emerging field
  • Contains exercises and solutions
  • Co-authored by leading researchers with complementary backgrounds

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

Buy it now

Buying options

Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvii
  2. Theoretical Foundations

    1. Front Matter

      Pages 1-1
    2. Elements of Probability Theory

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 3-21
    3. Introduction to Stochastic Processes

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 23-59
  3. Stochastic Modelling for Dispersal and Movement

    1. Front Matter

      Pages 61-61
    2. Microscopic, Mesoscopic and Macroscopic Descriptions of Dispersal

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 63-111
    3. Anomalous Diffusion and Continuous-Time Random Walks

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 113-148
    4. Reaction-Dispersal Models and Front Propagation

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 149-176
    5. Random Search Strategies

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 177-205
  4. Selected Applications

    1. Front Matter

      Pages 207-207
    2. Cell Motility

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 209-244
    3. Biological Invasions

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 245-266
    4. Biological Searches and Random Animal Motility

      • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
      Pages 267-288
  5. Erratum to: Chapter 6: Random Search Strategies

    • Vicenç Méndez, Daniel Campos, Frederic Bartumeus
    Pages E1-E1
  6. Back Matter

    Pages 289-310

About this book

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

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)

Authors and Affiliations

  • Dept. de Fisica Grup de Fisica Estadistica, Universitat Autònoma de Barcelona, Cerdanyola del Vallés (Bellaterra), Spain

    Vicenç Méndez

  • Dept. de Fisica Grup de Fisica Estadistica, Universitat Autònoma de Barcelona, Cerdanyola del Vallès (Bellaterra), Spain

    Daniel Campos

  • Centre d`Estudis Avancats de Blanes, Blanes (Girona), Spain

    Frederic Bartumeus

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access