If you were modeling the growth of the algae population according to the logisti
ID: 48566 • Letter: I
Question
If you were modeling the growth of the algae population according to the logistic growth model, what would be different between year 6 and year 20?
The per capita (intrinsic) growth rate r is higher in year 6 than in year 20.
The per capita (intrinsic) growth rate r is lower in year 6 than in year 20.
The population size N is less than K in year 6 and much greater than K in year 20.
The population size N is less than K in year 6 and about equal to K in year 20.
Q43. If someone added algicide (an algal poison) to the lake, thereby increasing the algal death rate, what would change?
The algae population would grow slower in this new environment.
The algae population would grow faster in this new environment.
The carrying capacity of the algae population in this new environment would be lower.
The initial size of the algae population in this new environment would be smaller.
Explanation / Answer
dN/dt = r * N ( K - N) / K
r = 1/ N * dN/dt * K / (K-N)
The per capita (intrinsic) growth rate r is higher in year 6 than in year 20 because r is inversely proportional to N so the growth rate will be higher in year 6 where population is small than in year 20 where population will be more.
The population size N is less than K in year 6 and much greater than K in year 20 because the growth rate of algae will go beyond the point of the carrying capacity so that r is not infinity.
43.
The algae population would grow slower in this new environment because if we put some value for K/(N-K) then r is directly proportional to dN/dt so the rate will decrease because change population is decreasing with time.
The carrying capacity of the algae population in this new environment would be lower because of poor conditions for growth and survival hence this would lead to decrease in population of algae and carrying capacity is small