Homework Assignment #4: Population Growth

Due: Monday, 16 October 2006

1. Identify the model and the formula needed to calculate future population size that you would use for the following: (each is worth 2 points; 1 point for the right model and 1 point for the equation)

            A. A Semelparous salmon.

            B. An iteroparous species of prairie voles living on unlimited resources.

            C. An iteroparous lion living in an area of limited prey.

            D. A species of plant that dies in the winter.

            E. An enormous species of oak tree that survives the winter and reproduces every year.

Show all your work

2. Exponential Growth: calculate growth rate and future population size given the following information.

dN/dt = ?

N₄ = ?

N₀ = 100

r = 0.1

t = 4

3. Logistic Growth: calculate growth rate, per capita growth rate, and eventual stable population size given the following information.

dN/dt = ?

dN/dt*1/N = ?

N_stable =

N₀ = 100

r = 0.1

K = 200

What would be the per capita growth rate when N = 150? When N = 50?


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