Spatial Ecology / Edition 1

Spatial Ecology / Edition 1

by Stephen Cantrell
     
 

ISBN-10: 1420059858

ISBN-13: 9781420059854

Pub. Date: 08/06/2009

Publisher: Taylor & Francis

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

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Overview

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.

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Product Details

ISBN-13:
9781420059854
Publisher:
Taylor & Francis
Publication date:
08/06/2009
Series:
Chapman & Hall/CRC Mathematical and Computational Biology Series
Pages:
360
Product dimensions:
6.30(w) x 9.30(h) x 1.00(d)

Table of Contents

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.

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