Ebook: Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective

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.

---

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.

---

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.
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Stochastic Optimal Foraging Theory....Pages 3-32
L?vy or Not? Analysing Positional Data from Animal Movement Paths....Pages 33-52
Beyond Optimal Searching: Recent Developments in the Modelling of Animal Movement Patterns as L?vy Walks....Pages 53-76
Front Matter....Pages 77-77
The Mathematical Analysis of Biological Aggregation and Dispersal: Progress, Problems and Perspectives....Pages 79-127
Hybrid Modelling of Individual Movement and Collective Behaviour....Pages 129-157
From Individual Movement Rules to Population Level Patterns: The Case of Central-Place Foragers....Pages 159-175
Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats....Pages 177-222
Incorporating Complex Foraging of Zooplankton in Models: Role of Micro- and Mesoscale Processes in Macroscale Patterns....Pages 223-259
Front Matter....Pages 261-261
Life on the Move: Modeling the Effects of Climate-Driven Range Shifts with Integrodifference Equations....Pages 263-292
Control of Competitive Bioinvasion....Pages 293-305
Destruction and Diversity: Effects of Habitat Loss on Ecological Communities....Pages 307-330
Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation....Pages 331-353
Numerical Study of Pest Population Size at Various Diffusion Rates....Pages 355-385
Back Matter....Pages 387-388

---

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.
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Stochastic Optimal Foraging Theory....Pages 3-32
L?vy or Not? Analysing Positional Data from Animal Movement Paths....Pages 33-52
Beyond Optimal Searching: Recent Developments in the Modelling of Animal Movement Patterns as L?vy Walks....Pages 53-76
Front Matter....Pages 77-77
The Mathematical Analysis of Biological Aggregation and Dispersal: Progress, Problems and Perspectives....Pages 79-127
Hybrid Modelling of Individual Movement and Collective Behaviour....Pages 129-157
From Individual Movement Rules to Population Level Patterns: The Case of Central-Place Foragers....Pages 159-175
Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats....Pages 177-222
Incorporating Complex Foraging of Zooplankton in Models: Role of Micro- and Mesoscale Processes in Macroscale Patterns....Pages 223-259
Front Matter....Pages 261-261
Life on the Move: Modeling the Effects of Climate-Driven Range Shifts with Integrodifference Equations....Pages 263-292
Control of Competitive Bioinvasion....Pages 293-305
Destruction and Diversity: Effects of Habitat Loss on Ecological Communities....Pages 307-330
Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation....Pages 331-353
Numerical Study of Pest Population Size at Various Diffusion Rates....Pages 355-385
Back Matter....Pages 387-388
....