A population of Drosophila mauritiana reproduces in synchrony at discrete time p
ID: 257993 • Letter: A
Question
A population of Drosophila mauritiana reproduces in synchrony at discrete time periods every generation, and generations occur at two-week intervals. The current population size is 1,000, and its geometric population growth rate is 3.0 per generation. What will the expected size of the population be after six weeks? Please show work on how you got the answer.A population of Drosophila mauritiana reproduces in synchrony at discrete time periods every generation, and generations occur at two-week intervals. The current population size is 1,000, and its geometric population growth rate is 3.0 per generation. What will the expected size of the population be after six weeks? Please show work on how you got the answer.
A population of Drosophila mauritiana reproduces in synchrony at discrete time periods every generation, and generations occur at two-week intervals. The current population size is 1,000, and its geometric population growth rate is 3.0 per generation. What will the expected size of the population be after six weeks? Please show work on how you got the answer.
Explanation / Answer
Current population No = 1000
Growth rate r = 3.0 per generation
Time T = 6 weeks
Time for each generation t = 2 weeks
Number of generations n = T/t = 6/2 = 3
Drosophila grows with the power Law
Nt = rn No = 33 x 1000 = 27000.
So, the expected size of population after six weeks will be 27000.