Exponential vs. Logistic Growth (exam 2)

Question 1

growth rate, r

Answer 1

r = b (births) - d (deaths)
r = (b+i)-(d+e)

Question 2

Population Growth

Answer 2

dN/dt=G=rNo

No = initial population

Question 3

The value of r determines how rapidly the population grows

Answer 3

r<0 population declines
r=0 population stable
r>0 population grows

Question 4

exponential growth model

Answer 4

pop size at time (Nt) = initial pop size (No) x (e) ^ rt

Question 5

Assumptions of logistic population growth

Answer 5

-Age distrib (initially) stable
-No emigration or immigration
-No time lag in repro. responses
-Rel. b/t growth and rate of growth -> linear
-Set value for K - Carrying capacity

Question 6

logistic growth

Answer 6

G = rN(K-N/K)

Question 7

logistic growth model

Answer 7

Nt = K / ( 1+ ( K/No -1)e^ -rt

Question 8

Sustainability model as a modification of the logistic growth model

Answer 8

G= rN(K-N/K) - qEN

q = catchability constant
E = fishing effort