EEB122FINALFALL2010

# EEB122FINALFALL2010 - EEB122 exam questions 1 Consider the...

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EEB122 exam questions 12/04/10 1. Consider the following model for population persistence: dN/dt = N*f(N). What is the per capita growth rate of the population? (a) dN/dt (b) N*f(N) (c) N*f(N)=0 solved for N (d) F(N) (e) N Questions 2-4 are based on the continuous logistic model: dN/dt = r N (1- (N/K)). 2. If r=0.5, K=50 and the current size of the population N=20, what is the per capita growth rate of the logistic model? (a) 0.3 (b) 0.25 (c) 0 (d) 1.75 (e) 0.2 3. What is the per capita growth rate when N=K? (a) 0.3 (b) 0.25 (c) 0 (d) 1.75 (e) 0.2 4. What is the per capita growth rate when N=K/2? (a) 0.3 (b) 0.25 (c) 0 (d) 1.75 (e) 0.2 5. Petunia, a commonly cultivated plant with brightly colored flowers, exhibits an annual life history in temperature climates, i.e., the plant grows, produces flowers, sets seed and dies at the end of the year. If you are starting a nursery with 10 Petunia plants, how long will it take for the nursery to produce more than 60 plants given a birth rate of 2 plants per year and no seed mortality from one year to the next? Assume that the bank has

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agreed to loan you enough money to buy soil, fertilizer and an assistant to hand pollinate every single plant in the nursery. (a) Never, because the population dies out (b) 2 years (c) 2.5 years (d) 3 years (e) 3.2 years 6. The graph below illustrates the population dynamics of a captive beetle population, based on data collected every week for a period of three years. Based on the dynamics you see in the graph, which of the following models would be the most appropriate for predicting future population sizes? (a) Geometric (b) Exponential (c) Continuous logistic (d) Discrete logistic (e) None of these models is appropriate 7. We saw in class that the continuous logistic model and the discrete logistic model can both lead to the same long-term outcomes (equilibria): N*=0 or N*=K. How is this possible given that the two models contain fundamentally different assumptions about the life histories of the organisms under study? (a) Long-term outcomes (equilibria) are independent of time (b) Long-term outcomes (equilibria) are independent of initial conditions (c) The equilibria N*=0 or N*=K are attractors (d) Both models predict N*=0 if the intrinsic growth rate is negative (e) Both models predict N*=K if the intrinsic growth rate is positive
8. The table below gives the abundance of sage grouse within a 1 km 2 plot in the Santa Monica mountains. The grouse have overlapping generations and continuous reproduction, and compete intensely for access to nest sites. Given an initial population size of 5 individuals, what is the best estimate of the intrinsic growth rate r? (a) 0.12 (b) 0.19 (c) 0.31 (d) 0.45 (e) 0.56 8. Consider the logistic model for population growth dN/dt = r N (1- (N/K)) . (i) Identify the state variable(s), independent variable(s) and parameters of

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EEB122FINALFALL2010 - EEB122 exam questions 1 Consider the...

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