Question 4: Population Changes (6 points)

A population of cougars ranges in an area of 600 square miles. A study of the population yielded the following data:

Year	Total number of cougars at beginning of the year	Number of cougar births during the year	Number of cougar deaths during the year
1	389	15	12

a) Calculate the population of cougars present at the beginning of Year 2. (1 point)

b) Calculate the population density at the beginning of Year 2. (1 point)

c) Calculate the carrying capacity if the maximum density of cougars supported by the ecosystem is 0.800 cougars per square mile. (1 point)

d) Calculate the maximum per capita growth rate of this population using Year 1 data. (1 point)

e) Calculate the logistic growth rate of this population using Year 1 data. (1 point)

f) Suppose human activity decreases the amount of available habitat for this species, reducing the carrying capacity of the remaining habitat to 420 cougars and increasing the annual death rate to 13.?Calculate the logistic growth rate of the population under these new conditions. (1 point)

1 2 3 4 5 6 7 8 9 (2) (3 4 5 7 8 9 0 3 2 2 4 5 7 8 0 9 1 3 4 5 (6) (7 (8) 9 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 (2) (3 4 5 7 8 9 0 3 2 2 4 5 7 8 0 9 1 3 4 5 (6) (7 (8) 9 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 (2) (3 4 5 7 8 9 0 3 2 2 4 5 7 8 0 9 1 3 4 5 (6) (7 (8) 9 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 (2) (3 4 5 7 8 9 0 3 2 2 4 5 7 8 0 9 1 3 4 5 (6) (7 (8) 9 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 (2) (3 4 5 7 8 9 0 3 2 2 4 5 7 8 0 9 1 3 4 5 (6) (7 (8) 9 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 (2) (3 4 5 7 8 9 0 3 2 2 4 5 7 8 0 9 1 3 4 5 (6) (7 (8) 9 2 3 4 5 6 7 8 9