Dispersal, Individual Movement and Spatial Ecology

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

3. From Individuals to Populations

   1. Front Matter

      Pages 77-77

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   2. The Mathematical Analysis of Biological Aggregation and Dispersal: Progress, Problems and Perspectives

      • Hans G. Othmer, Chuan Xue

      Pages 79-127

   3. Hybrid Modelling of Individual Movement and Collective Behaviour

      • Benjamin Franz, Radek Erban

      Pages 129-157

   4. From Individual Movement Rules to Population Level Patterns: The Case of Central-Place Foragers

      • Hsin-Hua Wei, Frithjof Lutscher

      Pages 159-175

   5. Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats

      • Thomas Hillen, Kevin J. Painter

      Pages 177-222

   6. Incorporating Complex Foraging of Zooplankton in Models: Role of Micro- and Mesoscale Processes in Macroscale Patterns

      • Andrew Yu. Morozov

      Pages 223-259

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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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.

• Biological invasion
• Dispersal
• Hybrid modelling
• M31000, M13003, L19147, L19007, M13090, M14068
• Pattern formation

• 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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