(a) Find the sustainable harvest ratio for the woodland caribou in Exercise 42 in Section 3.7.
(b) Using the data in Exercise 42 in Section 3.7, reduce the caribou herd according to your answer to part (a). Verify that the population returns to its original level after one time interval.

Woodland caribou are found primarily in the western provinces of Canada and the American northwest. The average lifespan of a female is about 14 years. The birth and survival rates for each age bracket are given in Table 3.4, which shows that caribou cows do not give birth at all during their first 2 years and give birth to about one calf per year during their middle years. The mortality rate for young calves is very high.

The numbers of woodland caribou reported in Jasper National Park in Alberta in 1990 are shown in Table 3.5. Using a CAS, predict the caribou population

for 1992 and 1994. Then project the population for the years 2010 and 2020. What do you conclude? (What assumptions does this model make, and how could it be improved?)

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Table 3.4 Age Birth Survival (years) Rate Rate 0–2 0.0 0.3 2–4 0.4 0.7 4-6 1.8 0.9 6–8 1.8 0.9 8–10 1.8 0.9 10–12 1.6 0.6 12–14 0.6 0.0