Population Dynamics: Three Types Of Population Growth (Page 3 of 4) in pdf

Population Dynamics: Three Types Of Population Growth Page 3

Investigation 2: Logistic Growth in a Fish Population

In this brief investigation you will step through a model of logistic growth in a population of fish.

Follow the simulation from Step 1 to Step 4.

1. Give the equation for population growth here: ______________________________________

2. On a graph, what does this equation represent? _____________________________________

3. What is density-dependent growth? What factors affect this type of growth?

4. Give the equation for logistic growth here: ___________________________________________

5. What similarities doe s this equation have with the general equation for population growth? What

differences are there between the two equations?

6. What is carrying capacity and how is it determined? What happens as a population reaches its carrying

capacity?

7. Explain what is meant by the “unused portion of K.”

8. Add fish to the lake. What is the relationship between N and [1-(N-K)]?

9. Define the following and describe its relationship with N:

a. r: _________________________________________________________________________

b. r

: ______________________________________________________________________

max

10. What is the equation for the realized intrinsic rate of increase? Write it in the space below:

11. Predict what happens to r as the population reaches K:

12. If K = 50, and r

= 0.5, when will r be equal to half of r

max

Population Dynamics: Three Types Of Population Growth Page 3