Question 1. Consider a population of perennial plants that breed in the early spring and suffer high drought-related mortality late in the summer. Field monitoring experiments suggest that drought leads to a 50% decline in the population during the late summer (d = 0.5). Given this degree of mortality, use the model to calculate how many offspring each individual would, on average, have to produce during the breeding season to prevent the population from declining over time. In other words, calculate the minimum value of b that would be compatible with population growth. [1 point] Scoring: Full credit for providing the correct answer and showing how the answer was obtained (16., show your work). Suppose that you are monitoring island endemic cricket population that has recently become threatened due to an invasive parasitoid wasp species that is attacking its members. From observations of birth and death rates, you estimate that the intrinsic growth rate of the cricket population to be i\\' = 0.05, which has a 95% condence interval of: 95% CI. for r= [-0.01, -0.1] Since the entire condence interval for your estimate of r is negative, your data imply that the population will decline over time. Question 2. The current size of the cricket population is 5,000 individuals. Assume that the current conditions of parasitism do not change and, thus, r remains constant over time. Use your point estimate for r (ii = 0.05) and the model presented above to predict the amount of time it will take for the population size to decline below 50 individuals, which is the threshold for a \"critically endangered\" classication. Show how you arrived at your conclusion. [1 point] Scoring: Full credit for providing the correct answer and showing how the answer was obtained (16., submit the R code and relevant simulation output to justify the answer OR present a detailed mathematical solution to the question). Question 3. There is uncertainty around your estimate of 1'. Suppose that the true value of r is within the 95% condence interval presented above. Use the model to calculate a best-case scenario and worst-case scenario for the amount of time it will take for the cricket population to become critically endangered. Show how you arrived at your conclusions. [1 point]