Cantrell / Cosner / Ruan Spatial Ecology

Erscheinungsjahr 2012
ISBN: 978-1-4200-5986-1
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 360 Seiten

Reihe: Chapman & Hall/CRC Mathematical & Computational Biology

Exploring the relationship between mathematics and ecology, Spatial Ecology focuses on some important emerging challenges in the field. These challenges consist of understanding the impact of space on community structure, incorporating the scale and structure of landscapes into mathematical models, and developing connections between spatial ecology and evolutionary theory, epidemiology, and economics.

The book begins with essays on how spatial effects influence the dynamics of populations and the structure of communities. It then discusses how spatial scale and structure and dispersal behavior connect to phenomena in population dynamics, evolution, epidemiology, and economics. Subsequent chapters focus on the interplay of ecology with evolution, epidemiology, and economics. The chapters on ecology and evolutionary theory provide a guided tour through a number of scenarios and modeling approaches that represent active areas of current research and suggest some paths toward conceptual unification. The book then illustrates how problems in epidemiology and ecology can be profitably addressed by similar modeling regimes. It concludes with essays that describe how ideas from economics, ecology, and quality control theory may be combined to address issues in natural resource management.

With contributions from some of the best in the field, this volume promotes the advancement of ecology as a truly quantitative science, particularly as it touches on the role of space. The book will inspire readers to open up new areas of research in the mathematical theory of spatial ecology and its connections with evolutionary theory, epidemiology, and economics.

Zielgruppe

Applied mathematicians, ecologists, and biologists.

Autoren/Hrsg.

Cantrell, Stephen

Cosner, Chris

Ruan, Shigui

Fachgebiete

• Geowissenschaften Geographie | Raumplanung Biogeographie
• Naturwissenschaften Biowissenschaften Biowissenschaften Ökologie
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Competition Dynamics in a Seasonally Varying Wetland Don L. DeAngelis, Joel C. Trexler, and Douglas D. Donalson
Introduction

Model

Results

Discussion
Appendix
Spatial Dynamics of Multi-Trophic Communities Priyanga Amarasekare
Introduction

Theoretical Framework

Results

Discussion and Conclusions

Appendix: Spatial Models
Bistability Dynamics in Structured Ecological Models Jifa Jiang and Junping Shi
Non-Structured Models

Diffusion Induced Bistability and Hysteresis

Threshold Manifold

Concluding Remarks
Modeling Animal Movement with Diffusion Otso Ovaskainen and Elizabeth E. Crone
Introduction

Advection-Diffusion in Heterogeneous Environments
Application: Wolf Movement in a Mountainous Landscape

Applications of Diffusion Models
Conclusions
Riverine Landscapes: Ecology for an Alternative Geometry William F. Fagan, Evan H. Campbell Grant, Heather J. Lynch, and Peter J. Unmack
Spatial Ecology

Dendritic Landscapes

Colonization and Extinction

Metapopulation Model
Extinction in Fishes

Conclusion
Biological Modeling with Quiescent Phases Karl P. Hadeler, Thomas Hillen, and Mark A. Lewis
Introduction

Diffusive Coupling and Quiescence

Stationary States and Stability

Periodic Orbits

Rates Depending on Density

Slow Dynamics

Delay Equations

Spread in Space
Applications
Discussion
Spatial Scale and Population Dynamics in Advective Media Roger M. Nisbet, Kurt E. Anderson, Edward McCauley, and Ulrike Feudel
Introduction

Models

Population Persistence and the Drift Paradox

Response to Abiotic Forcing

Directions for Future Research
Using Multivariate State-Space Models to Study Spatial Structure and Dynamics Richard A. Hinrichsen and Elizabeth E. Holmes
Introduction

Multivariate State-Space Models

Population Structure
Parameter Estimation
Model Selection
Snake River Chinook
Discussion
Incorporating the Spatial Configuration of the Habitat into Ecology and Evolutionary Biology Ilkka Hanski
Introduction

Modeling Migration in Fragmented Landscapes

Metapopulation Dynamics

Metacommunity Dynamics of Competing Species

Genetic and Evolutionary Dynamics

Conclusion
Metapopulation Perspectives on the Evolution of Species’ Niches Robert D. Holt and Michael Barfield
Introduction

Models for Adaptive Colonization into Sink Habitats

An Island-Mainland Model with Infrequent Adaptive Colonization

Gene Flow and Population Extinction

A Metapopulation Model with Maladaptive Gene Flow
Discussion
Evolution of Dispersal in Heterogeneous Landscapes Robert Stephen Cantrell, Chris Cosner, and Yuan Lou
Introduction

Random Dispersal: Evolution of Slow Dispersal

Random Dispersal vs Conditional Dispersal

Evolution of Conditional Dispersal

Dispersal and the Ideal Free Distribution

Dispersal in Temporally Varying Environments

Future Directions
Evolution of Dispersal Scale and Shape in Heterogeneous Environments: A Correlation Equation Approach Benjamin M. Bolker
Introduction

Methods
Results

Discussion and Conclusions
Spatiotemporal Dynamics of Measles: Synchrony and Persistence in a Disease Metapopulation Alun L. Lloyd and Lisa Sattenspiel
Introduction

Data Sources

Local Dynamics: Periodicity and Endemic Fadeout

Regional Persistence and Spatial Synchrony

Spatial Synchrony among Large Population Centers

Reinvasion Waves and Phase Relationships

Discussion
Rules of Thumb for the Control of Vector-Borne Diseases in a Spatial Environment Matthew D. Potts and Tristan Kimbrell
Introduction

Model Specification

Results

Discussion
Conclusion
Modeling Spatial Spread of Communicable Diseases Involving Animal Hosts Shigui Ruan and Jianhong Wu
Introduction

Rabies

Dengue

West Nile Virus

Hantavirus

Lyme Disease

Feline Immunodeficiency Virus (FIV)

Summary
Economically Optimal Management of a Metapopulation James N. Sanchirico and James E. Wilen
Spatial Ecology

Optimization

Optimal Spatial Dynamics

Cost of Ignoring Spatial Processes

Conclusion
Models of Harvesting Donald B. Olson
Introduction

Basic Model Formulation

Explicit Examples

Conclusions
Spatial Optimal Control of Renewable Resource Stocks Guillermo E. Herrera and Suzanne Lenhart
Introduction

ODE Models with Spatial Components

PDE Models

Conclusions
References appear at the end of each chapter.

Über Autor(innen)

Robert Stephen Cantrell, Chris Cosner, and Shigui Ruan are all professors in the Department of Mathematics at the University of Miami, Coral Gables, Florida.