Question 1. You are studying an endangered population of orchids, for which the

Question

Question 1. You are studying an endangered population of orchids, for which the birth rate b 0.20 births per individual per year and the death rate d-0.18 deaths per individual per year. The current population size (No) is 50 plants. A. Given that the intrinsic growth rate r-b-d, calculate the projected population size after 10 years (rounded to the nearest individual) assuming exponential growth. Show your work. 10 B. What is the approximate doubling time of this population, in years (rounded to the nearest year)? Show your work tdouble

Explanation / Answer

Answer 1

R=b-d

# r = 0.20-0.18

#r=0.02

Nt+1= N0ert

= 50e(0.02)(10)= 110.52

N10= 61 orchids;

Answer 2

td= ln(2)/r

= 0.693/(b-d)

= 0.693/0.02

= 34.65

tdouble= 34.65 years;

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