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# Population Biology Models

## Introduction

I enjoy teaching Human Population Biology at the University of Washington. The course has 3 themes: (a) the use of models to understand the basic principles of population biology, such as the capacity for population growth; (b) the role of natural selection on the individual in shaping population-level phenomena; and, (c) examples of how these principles shed light on important issues for the human species. I have built a handful of Excel spreadsheets to help my students understand some mathematical models used in population biology. They are available here for your non-commercial use.

## Models

 1. Epidemic Threshold 2. Evolution of Disease Virulence 3. Discrete Exponential Population Growth 4. Logistic Population Growth 5. Reproductive Value 6. Siler Model of Mortality 7. Haploid Model of Natural Selection 8. Hamilton's Rule (Kin Selection) 9. Sir Philip Sydney Game 10. Chooser-Copier Game (coming soon...) More coming soon...

### 1. Epidemic Threshold

The first spreadsheet shows graphically the threshold population size needed for the spread
of an epidemic, while allowing the user to adjust infection and removal rates.

The second spreadsheet determines whether or not an epidemic will ensue given values
entered by the user for population size, and infection and removal rates.

### 2. Evolution of Disease Virulence

Find optimal virulence for a disease using the model of number of secondary infections from a single infected host. Life history theory applied to disease ecology -- cool!

### 3. Discrete Exponential Population Growth

Build a model of population growth given the characteristics of the population. It is a discrete model, so population grows in a stepwise, not continuous, fashion.

### 4. Logistic Population Growth

A model of population growth constrained by density-dependent factors.

### 5. Reproductive Value

Provides calculations and graphics for reproductive value across the lifespan in women from three populations.

### 6. Siler Model of Mortality

A "mixture" model of the age-pattern of mortality in humans (and other animals) with just enough parameterization to fit well with any population.

### 7. Haploid Model of Natural Selection

A "starter" population genetics model.

### 8. Hamilton's Rule

Simple model of kin selection.

### 9. Sir Philip Sydney Game

A game of signaling and responding to signals of "need."

### 10. Chooser-Copier Game

An ESS model of mate-choice copying -- i.e., the cultural transmission of mate-choice decisions.

⇒ coming soon...

 Excel Files: To view an .XLS file, you need Microsoft Excel 2003 or later. All files are © 2009-2013 Geoff Kushnick, but the models themselves have their own copyrights and I make no claim to them.