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

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

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.