Homework Assignment #3: Demography
Due: Monday, 9 October 2006
Note: You need to show all work to get full credit!
1. Given the first survival and fecundity schedule for a plant species calculate Ro. (2 points)
A. What is the total number of seeds (offspring) produced by this population if the original population has N = 100 inds?
B. What is the geometric rate of growth (l)?
C. Is this population growing or declining?
2. Compare the values of Ro with l from question 1. Are they the same or different? Why? (1 point)
3. Explain the difference between Ro and r. In what models do you use these to estimate future population size? Why? (4 points)
A. What values of Ro indicate that a population is growing, stable, or declining?
B. What values of r indicate that a population is growing, stable, or declining?
4. Using the second survival and fecundity schedule, calculate Ro. (3 points)
A. What is the generation time (T) for this population?
B. What is the per capita rate of increase (r)?
C. Is the population increasing or decreasing? Why?
Use the following life table for an annual plant species to answer question 1
|
Age (x) |
lx |
mx |
lxmx |
|
0 |
1.000 |
0.000 |
|
|
1 |
0.750 |
0.525 |
|
|
2 |
0.500 |
4.356 |
|
|
3 |
0.250 |
5.015 |
|
|
4 |
0.150 |
1.233 |
|
Use for question 4 pertaining to a population of deer mice
|
x (months) |
lx |
mx |
lxmx |
|
|
0 |
1.000 |
0.000 |
|
|
|
1 |
0.800 |
0.250 |
|
|
|
2 |
0.600 |
0.852 |
|
|
|
3 |
0.400 |
4.487 |
|
|
|
4 |
0.200 |
4.395 |
|
|