Quantitative Population Ecology

A. Sharov, Dept. of Entomology, Virginia Tech, Blacksburg, USA. http://www.ento.vt.edu/~sharov/PopEcol/#mark7

Lecture Handouts

1. Introduction: Population systems and their components.

1.1. What is population ecology?

1.2. Models as analytical tools

1.3. Population system

1.4. Petri nets (optional)

1.5. Questions and Assignments

2. Estimation of population density and size.

2.1. Censusing a Whole Population

2.2. Simple Random or Systematic Sampling

2.3. How Many Samples?

2.4. Elements of Geostatistics

2.5. Stratified Sampling

2.6. Capture-Recapture and Removal Methods

2.7. Indirect Measures of Population Density

2.8. Questions and Assignments

3. Spatial distribution of organisms.

3.1. Tree Types of Spatial Distribution

3.2. Random Distribution

3.3. Aggregated Spatial Distribution

3.4. Indexes of Aggregation

3.5. Density-Invariant Indexes of Aggregation

3.6. Geostatistical Analysis of Population Distribution

3.7. Fractal Dimension of Population Distribution

3.8. Questions and Assignments

4. Statistical analysis of population dynamics.

4.1. Correlation between population density and various factors

4.2. Correlation between factors

4.3. Example: Colored fox in Labrador (1839-1880)

4.4. Autocorrelation of factors and model validation

4.5. Stochastic models based on regression

4.6. Biological interpretation of stochastic models. Response surfaces

5. Reproducing populations: exponential and logistic growth.

5.1 Exponential model

5.2. Logistic model

5.3. Discrete-time analogs of the exponential and logistic models

5.4. Questions and assignments

6. Life-tables, k-values.

6.1. Age-dependent life-tables

6.2. Stage-dependent life-tables

6.3. Questions and assignments

7. Model of Leslie.

7.1. Model structure

7.2. Model behavior

7.3. Intrinsic rate of population increase

7.4. Stable age distribution

7.5. Modifications of the Leslie model

8. Development of poikilothermous organisms, degree-days.

8.1 Rate of development

8.2 Simple degree-day model

8.3 How to measure temperature?

8.4 Improved degree-day model

8.5 Other non-linear models of development

8.6 Physiological time

8.7 How to combine physiological time with the model of Leslie?

8.8 Questions and Assignments

9. Stability, oscillations and chaos in population dynamics.

9.1. Introduction

9.2. Attractors and Their Types

9.3. Equilibrium: Stable or Unstable?

9.4. Quantitative Measures of Stability

9.5. Limit Cycles and Chaos

9.6. Questions and Assignments

10. Predators, Parasites, and Pathogens.

10.1. Introduction

10.2. Lotka-Volterra Model

10.3. Functional and Numerical Response

10.4. Predator-Prey Model with Functional Response

10.5. Host-Parasitoid Models

10.6. Host-Pathogen Model (Anderson & May)

10.7. Questions and Assignments

11. Competition and Cooperation.

11.1. Intra-specific competition

11.2. Competition between species

11.3. Ecological niche

11.4. Cooperation

12. Dispersal and spatial dynamics.

12.1. Random Walk

12.2. Diffusion Models

12.3. Stratified Dispersal

12.4. Metapopulation Models

13. Population outbreaks.

13.1. Ecological mechanisms of outbreaks

13.2. A model of an outbreak

13.3. Catastrophe theory

13.4. Classification of outbreaks

13.5. Synchronization of outbreaks in space

Labs

1. Orientation in software: Microsoft Excel.

2. How to write a scientific paper

3. Population sampling and spatial distribution.

4. Statistical analysis of population change.

5. Model of Leslie.

6. Development of poikilothermous organisms.

7. Model of Ricker: stability, oscillations, chaos.

8. Parasitism and biological control

Statistical tables

1. t-statistics

2. Chi-square statistics

4. F-statistics, P=0.01

5. F-statistics, P=0.001

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