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Dispersal, Individual Movement and Spatial Ecology

A Mathematical Perspective

  • Book
  • © 2013

Overview

Editors:
  1. Mark A. Lewis

    1. Mathematical & Statistical Sciences, University of Alberta, Edmonton, Canada

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  2. Philip K. Maini

    1. Mathematical Institute, Centre for Mathematical Biology, University of Oxford, Oxford, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  3. Sergei V. Petrovskii

    1. Department of Mathematics, University of Leicester, Leicester, United Kingdom

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 2071)

Part of the book sub series: Mathematical Biosciences Subseries (LNMBIOS)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Individual Animal Movement

    1. Front Matter

      Pages 1-1
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    2. Stochastic Optimal Foraging Theory

      • Frederic Bartumeus, Ernesto P. Raposo, Gandhi M. Viswanathan, Marcos G. E. da Luz
      Pages 3-32

    3. Lévy or Not? Analysing Positional Data from Animal Movement Paths

      • Michael J. Plank, Marie Auger-Méthé, Edward A. Codling
      Pages 33-52

    4. Beyond Optimal Searching: Recent Developments in the Modelling of Animal Movement Patterns as Lévy Walks

      • Andy Reynolds
      Pages 53-76

  4. Populations, Communities and Ecosystems

    1. Front Matter

      Pages 261-261
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    2. Life on the Move: Modeling the Effects of Climate-Driven Range Shifts with Integrodifference Equations

      • Ying Zhou, Mark Kot
      Pages 263-292

    3. Control of Competitive Bioinvasion

      • Horst Malchow, Alex James, Richard Brown
      Pages 293-305

    4. Destruction and Diversity: Effects of Habitat Loss on Ecological Communities

      • Nick F. Britton
      Pages 307-330

    5. Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation

      • Vitaly Volpert, Vitali Vougalter
      Pages 331-353

    6. Numerical Study of Pest Population Size at Various Diffusion Rates

      • Natalia Petrovskaya, Nina Embleton, Sergei V. Petrovskii
      Pages 355-385

  5. Back Matter

    Pages 387-388
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Keywords

About this book

Dispersal of plants and animals is one of the most fascinating subjects in ecology. It has long been recognized as an important factor affecting ecosystem dynamics. Dispersal is apparently a phenomenon of biological origin; however, because of its complexity, it cannot be studied comprehensively by biological methods alone. Deeper insights into dispersal properties and implications require interdisciplinary approaches involving biologists, ecologists and mathematicians. The purpose of this book is to provide a forum for researches with different backgrounds and expertise and to ensure further advances in the study of dispersal and spatial ecology. This book is unique in its attempt to give an overview of dispersal studies across different spatial scales, such as the scale of individual movement, the population scale and the scale of communities and ecosystems. It is written by top-level experts in the field of dispersal modeling and covers a wide range of problems ranging from the identification of Levy walks in animal movement to the implications of dispersal on an evolutionary timescale.

Editors and Affiliations

  • Mathematical & Statistical Sciences, University of Alberta, Edmonton, Canada

    Mark A. Lewis

  • Mathematical Institute, Centre for Mathematical Biology, University of Oxford, Oxford, United Kingdom

    Philip K. Maini

  • Department of Mathematics, University of Leicester, Leicester, United Kingdom

    Sergei V. Petrovskii

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