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9780195085129

An Illustrated Guide to Theoretical Ecology

by
  • ISBN13:

    9780195085129

  • ISBN10:

    0195085124

  • Format: Paperback
  • Copyright: 1999-10-14
  • Publisher: Oxford University Press

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Summary

An Illustrated Guide to Theoretical Ecology uses a combination of visual presentations and the symbolic logic of algebra and calculus to provide the most accessible introduction to ecological theory available. It gives students the basic tools they need to understand the complexities ofecological systems and to analyze simple quantitative ecological problems. The author walks students through the most common models in ecology, beginning with first principles and then gently making each formulation accessible through a step-by-step development of equations paired with lavishillustrations. He also applies theoretical developments to practical issues in conservation and resource management, offering a more visceral understanding of the purpose and utility of the theory and demonstrating how it may need modification in its application to real-world problems and futuredirections. The text also includes some basic ecological genetics and an exploration of metapopulation dynamics. An Illustrated Guide to Theoretical Ecology is enhanced by over 500 two-color diagrams, many end-of-chapter problems, and a website that includes simulation models that parallel each chapters development (http://www.nceas.ucsb.edu/BookCase). Ideal as a main text for advanced undergraduatecourses in theoretical and mathematical ecology or conservation biology, this unique book can also serve as a supplement or a self-guided tutorial in general ecology, population ecology, and community ecology courses.

Table of Contents

Preface ix
Part 1: Population Ecology
Exponential and Geometric Population Growth
1(14)
Modeling Population Growth
1(8)
Exponential Growth: R Versus r
9(1)
Problem (Advanced)
10(5)
Spatial, Temporal, and Individual Variation in Birth and Death Rates
15(30)
Movements and Population Growth
15(11)
Spatial Variation
26(4)
Individual Variation and Temporal Variation
30(15)
Population Growth with Age or Stage Structure
45(34)
Keeping Track of the Size of Each Age Group
45(9)
Some Examples of Survival and Birth Functions
54(2)
The Birth Pulse Relative to the Beginning of the Year
56(2)
Cohort Analysis and an Alternative Method for Forming the Leslie Matrix
58(4)
Problems
62(2)
Leslie Matrix Formation and a New Trick
64(2)
λ is the Dominant Eigenvalue of the Leslie Matrix (ADVANCED)
66(6)
More on Stage-Structured Growth
72(7)
Demographic Relationships
79(24)
The Relative Abundance of the Different Age Classes
79(4)
Lotka-Euler Equation
83(3)
Variations on the Lotka-Euler Equation (Supplemental)
86(3)
Some More Identities and Connections for Age-Structured Populations
89(14)
Density Dependent Population Growth
103(34)
A Graphical Model for Density Dependence
103(4)
The Logistic Equation: A Particular Model of Density Dependence
107(30)
Population Regulation, Limiting Factors, and Temporal Variability
137(20)
The Interaction of Density Dependent and Density Independent Factors
137(3)
Detecting Density Dependence
140(4)
The Interaction of Population Regulation and Environmental Noise
144(2)
Population Regulation and Population Limitation
146(11)
Life History Trade-Offs
157(24)
Life History Strategies
157(2)
Optimal Clutch Size
159(4)
Why Be Iteroparous?
163(2)
Optimization of Reproductive Effort
165(8)
Temporal Variability and Optimal Reproductive Effort
173(2)
Another Graphical Technique for Evaluating Optimal Life Histories
175(6)
Reproductive Value and the Evolutionary Theory of Aging
181(14)
The Reproductive Value of Different Ages
181(5)
Reproductive Value and Optimal Reproductive Effort
186(3)
The Evolutionary Theory of Aging (Advanced)
189(6)
Density Dependent Selection on Life History Traits
195(28)
Evolutionary Ecology
195(2)
The Case of No Density or Frequency Dependence
197(6)
Density Dependent Natural Selection
203(8)
Density and Frequency Dependent Competition
211(3)
Density Plus Frequency Dependent Selection in a Lottery Model (Supplemental)
214(9)
Part II: Interactions and Community Ecology
Exploited Resources
223(20)
The Example of Grazing Sheep
223(9)
Harvesting Fish
232(11)
The Mechanics of Predation
243(18)
The Disk Equation
243(6)
Multiple Prey Items
249(2)
Food Depletion (Advanced)
251(2)
Optimal Give-Up Times (Advanced)
253(4)
The Ideal Free Distribution
257(4)
Predator-Prey Systems: Predator Dynamics and Effects on Prey
261(32)
Coupled Growth Equations for Predator and Prey
261(10)
A Type 2 Functional Response
271(4)
Prey Refuges Can Mimic a Type 3 Functional Response
275(3)
Multiple Predators on a Single Prey
278(3)
Predator Interference, Allee Effects, and Other Modifications to Predator-Prey Interactions
281(6)
Mutualistic Relationships
287(6)
Stability of Predator-Prey Systems: Analytical Methods (Advanced)
293(18)
The Classical Lotka-Volterra Predator-Prey Equations
293(8)
Stability Evaluation Applied to More Realistic Models
301(4)
Fishing Intensity and Fish Population Sizes
305(2)
A Shortcut for Stability Evaluation of 2-Species Systems
307(4)
Competitors
311(34)
Interspecific Competition May Be of Two Related Types
311(1)
Laboratory Experiments on Competition
311(5)
Modeling Competition
316(3)
Lotka-Volterra Competition Equations
319(5)
Back to Tribolium and Paramecium
324(3)
Non-Lotka-Volterra Competition
327(1)
Analytical Exposition of Lotka-Volterra Competition (Advanced)
328(5)
More Than Two Competing Species
333(12)
Multispecies Communities
345(36)
Generalized Lotka-Volterra Equations
345(6)
Stability Evaluation (Advanced)
351(1)
Non-GLV Systems Will Behave as GLV Systems in a Small Neighborhood Around an Equilibrium
352(3)
Indirect Effects in MultiSpecies Systems
355(12)
Applications to Niche Theory
367(9)
Limiting Similarity and Predation
376(5)
Space, Islands, and Metapopulations
381(54)
Spatial Representations
381(8)
Larger Spatial Arenas
389(1)
Colonization and Extinction Dynamics of a Single Patch
390(1)
Mainland-Island Systems
391(8)
Metapopulation Dynamics
399(2)
Modifications to the Basic Metapopulation Model
401(10)
Part III: Appendices
Appendix 1
Preparation
411(7)
PART 1---Visualizing Equations
411(4)
PART 2---Terms and Methods of Model Building in Population Biology
415(3)
Appendix 2
Some Matrix Operations
418(5)
Appendix 3
Solving for Equilibrium Points in Dynamical Systems, the Inverse of a Square Matrix, and Some Useful Facts from Linear Algebra
423(5)
Appendix 4
Some Useful Mathematical Identities and Approximations
428(2)
Appendix 5
Calculus
430(2)
Appendix 6
Functions of Random Variables
432(3)
Literature Cited 435(6)
Index 441

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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