Table of Contents

• The mystery
• 1. Introduction
• 2. The mystery
• 3. Exponential growth
• 4. Population dynamics
• 5. Exponential growth equation
• 6. You write the equation
• 7. Applet: Exp. growth
• 8. Summary of exp. growth
• 9. Assumptions about exp. growth
• 10. Applet: Once more with mortality
• 11. ...and an equation
• The plot thickens
• 12. Examining assumptions
• 13. Assumptions get violated
• 14. Carrying capacity...
• 15....mathematically expressed
• 16. Logistic growth
• 17. Applet: ... among elephants
• 18. Applet: ... among mice
• 19. Applet: ... among gypsy moths
• 20. Detour: chaotic dynamics
• 21. Applet: Seasonal changes
• 22. Applet: Disturbance = Death
• The case is cracked
• 23. You be the detective
• 24. Just the facts ma'am

Examining assumptions

A while back we listed two critical assumptions of the exponential growth model. They were

1. all offspring survive
2. all flies have the same number of offspring every month

Then we investigated a violation of the first assumption, but that led to a dead end. Now we'll look into the second assumption, that all flies have the same number of offspring every month. There are lots of ways this could be violated!!

See if you can think of some before going to the next page.