Stochastic population dynamics in ecology and conservation / Russell Lande, Steinar Engen, Bernt-Erik Sæther.

Format:

Book

Author/Creator:

Lande, Russell.

Contributor:

Engen, Steinar.

Sæther, Bernt-Erik.

Series:

Oxford series in ecology and evolution

Language:

English

Subjects (All):

Population biology--Mathematical models.

Population biology.

Ecology--Mathematical models.

Ecology.

Conservation biology--Mathematical models.

Conservation biology.

Stochastic processes--Mathametical models.

Stochastic processes.

Physical Description:

x, 212 pages : illustrations ; 24 cm.

Place of Publication:

Oxford ; New York : Oxford University Press, 2003.

Summary:

Random fluctuations in population dynamics are fundamental to pure and applied ecology. This book introduces demographic and environmental stochasticity, and illustrates statistical methods for estimating them from field data. Analysis of stochastic community dynamics indicates that real communities are far from neutral.

Contents:

1 Demographic and environmental stochasticity 1

1.1 Stochastic population fluctuations 1

1.2 Concepts of stochasticity 3

1.3 Formulation of stochasticity 6

1.4 Stochasticity on the natural logarithmic scale 11

1.5 Density-independent growth in a random environment 13

1.6 Density-dependent growth in a random environment 17

1.7 Parameter estimation 18

2 Extinction dynamics 25

2.1 Paleo-extinctions 25

2.2 Modern anthropogenic extinctions 27

2.3 Diffusion approximation of stochastic dynamics 29

2.4 Extinction trajectories in small populations 34

2.5 Stationary distribution of population size 36

2.6 Quasi-stationary distribution and mean time to extinction 37

2.7 Expected duration of the final decline 47

2.8 Distribution of time to extinction 49

3 Age structure 53

3.1 Deterministic density-independent dynamics 53

3.2 Long-run growth rate in a random environment 59

3.3 Time series analysis of population fluctuations 64

3.4 Estimation of density dependence from population time series 68

4 Spatial structure 79

4.1 Classical metapopulations 79

4.2 Metapopulation of a territorial species 80

4.3 Metapopulation dynamics of nonterritorial species 84

4.4 Population synchrony 89

5 Population viability analysis 101

5.1 Assessing extinction risk 101

5.2 Incorporating uncertainty using population prediction intervals (PPIs) 107

5.3 Population models 110

5.4 Examples of PVA 112

6 Sustainable harvesting 119

6.1 Overexploitation and its causes 119

6.2 Harvesting fluctuating populations 121

6.3 Harvesting stochastic age-structured populations 131

6.4 Reducing variance of annual yield in threshold harvesting 134

7 Species diversity 138

7.1 Species abundance distributions 138

7.2 Measures and statistics of diversity 144

7.3 Species accumulation, rarefaction, and extrapolation 148

7.4 Rapid assessment of diversity 152

7.5 Partitioning diversity into additive components 155

8 Community dynamics 162

8.1 Simple ecosystems 163

8.2 Complex ecosystems and communities 164

8.3 Lognormal species abundance distribution 167

8.4 Analyzing community dynamics in space and time 171

8.5 Dynamics of a tropical butterfly community 174.

Notes:

Includes bibliographical references (pages [182]-208) and index.

ISBN:

0198525249

0198525257

OCLC:

50948690