2. Find general formulas (in terms of R, a, f, q, and K) for the equilibrium point in the predator-prey model with logistic prey growth. In other words, find the values of V and C for which, once the populations reach those values, they will never change.
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Population Growth
R and K Selection
R and K selection are concepts in ecology used to describe traits in the fluctuation of a population or population dynamics. For example, they describe the life-association traits between parent and offspring, such as quantity or number of young ones born at a time, quality of parental care, the age to maturity, and reproductive effort.
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- 12. Which of the following dynamics are not predicted by the Lotka-Volterra predator-prey model using an exponential growth function (the simplest form)? a. exponential decline of the predator population in the absence of prey b. coexistence of predator and prey c. exponential growth of the prey population in the absence of predators d. none, all of these are predicted by the predator-prey model e. unstable oscillations in predator and prey density1.In wildlife management, population numbers must be sustainable in that populations cannot exceed the environment’s ability to support them. Using the ∆N formula, consider the following: Coyotes are members of the Canis family, or dog family, that wanders natural or agricultural grasslands and temperate forest in search of rodents and small prey. Occasionally they will form packs to bring down a larger animal – perhaps a young, sick, or old deer. In this scenario, assume population numbers of coyotes have increased dramatically. a.Using your knowledge of the ∆N formula, provide four possible causes for this dramatic increase in population. b.Assume you are a wildlife manager and that the high coyote population is resulting in more human/coyote interactions. Steps need to be taken to correct the imbalance in coyotes. Provide two ecologically sound solutions to the problem.2. If the food source is affecting the buffalo population, what do you predict the graph of the food source would look like? Either draw a graph or write a prediction.
- 7.Optimal foraging theory suggests that ____________. A) when handling time is long relative to search time, predators should be generalists. B) specialized diets are rare in nature. C) new items are added to the diet only if their handling time is larger than average. D) when search time is long relative to handling time, predators should be generalists.A large lake contains an abundance of rainbow trout. You capture 75 trout, tag and then release them. You then capture another sample of 200 trout. Of the 200 trout in this second sample, 15 have tags. a) Estimate the number of trout in the lake using the mark-recapture technique. b) What assumptions do you make when using the mark-recapture technique? state 2 assumptions and explain why they are important.1. Based on the graph, determine the population of carabao in:i. 4 years: _______ii. 5 years: _______iii. 6 years: _______2. What is the maximum carrying capacity of carabao in the given ecosystem?3. How many years did it take for the carabao to reach its carrying capacity? Explain your answer.
- Draw and label graphs (including zero-growth isoclines) showing the predicted behavior of the Lotka-Volterra predator/prey equations if we assume prey growth follows and exponential growth model. Show how the graphs would change of the prey follow a logistic growth model.1. Answer the following questionsa)How long will it take for a dolphin population to be reduced by 50% if the intrinsic rate of increase is -.04?b)In the last 70 years the blue whale population decreased from 340,280 to 4,727. What is the intrinsic rate of decrease (r)? c)If the current intrinsic rate of increase for blue whales is .1, how long will it take the current population of 4,727 to climb back to 340,280?To measure the population of lake trout in a 250-hectare lake, 100 individuals were netted and marked with a fin clip, and then returned to the lake. The next week, the lake is netted again, and out of the 300 lake trout that are caught, 15 have fin clips. Using the capture-recapture estimate, the lake trout population size could be closest to? Also, what formula do I use to solve this problem? Thank You!
- 3. The population of rats in a field had a tremendous decrease because of the absence of snakes. * A. density-dependent limiting factor B. density-independent limiting factor8)Which of the following questions would be considered ecological questions? choose all that apply a)How does the availability of rainfall affect pollen production in mulberry trees? b)How do the population dynamics of hawks affect the population dynamics of lizards? c)How does elevation affect the amount of rainfall? d)How did the mouse species present in the Mojave Desert arise? e)How does a mutation in a gene for amylase affect nutrient absorption in white-tailed deer? f)None of these are ecological questions1. Based on the graph, determine the population of carabao in: i. 4 years: 2. Based on the graph, determine the population of carabao in: ii. 5 years:3. Based on the graph, determine the population of carabao in: iii. 6 years:4. What is the maximum carrying capacity of carabao in the given ecosystem? 5. How many years did it take for the carabao to reach its carrying capacity? Explain your answer