Régarding the population growth of Canada geese, which of the following statements is most likely true? The population is increasing at a constant rate with time. If modeled geometrically, A should be greater than 0, because the population is increasing. O If modeled exponentially, r should be greater than 0, because the population is increasing. None of the above statements is true.
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- Examine the top and middle graphs in Figure 54-5. Are these examples of exponential or logistic population growth? Where is K in each graph?A population that did not grow in close relation to the amount of resources available in the environment, and dramatically overshot the carrying capacity, would experience: A. logistic growth, such as shown on the S-shaped curve B. exponential growth, such as shown on the J-shaped curve C. unpredictable growth, such as shown on the ?-shaped curve D. exponential growth, such as shown on the S-shaped curve E.logistic growth, such as shown on the J-shaped curveA population that grew in close relation to the amount of resources available in the environment, would experience A. exponential growth, such as shown on the J-shaped curve B. logistic growth, such as shown on the S-shaped curve C. unpredictable growth, such as shown on the ?-shaped curve D.logistic growth, such as shown on the J-shaped curve E. exponential growth, such as shown on the S-shaped curve
- Contrast exponential and logistic (= sigmoid) growth of a population. Under what conditions might you expect a population to exhibit ex-ponential growth? Why can exponential growth not be perpetuated indefinitely?A population of bats in a local zoo demonstrates geometric growth. The initial population size is 43 bats. During that year, 77 bats are born, and 21 bats are lost to accidents and predators. a. Determine the geometric growth rate (λ). Show your work. b. Do you assume that the population will continue to increase at this rate? Explain how you made this conclusion.Write the BIDE dynamics equation, where the left side of the equation is Nt+1. Realizing you are working with a closed population, put an “X” through the terms you will not need to consider to understand population growth of a species.
- The growth of a population of rare South American beetles is given by the logistic function with k = 0.00001 and t in months. Assume that there are 200 beetles initially and that the maximum population size is 10,000. a. Find the growth function G1t2 for these beetles. Find the population and rate of growth of the population after the following times. b. 6 months c. 3 years d. 7 years e. What happens to the rate of growth over time?a) The region numbered 3 on the graph represents the __A__ brought on by the limiting factors called __B___. Select one: a. A B Carrying capacity Environmental resistance b. A B Environmental resistance Exponential growth c. A B Exponential growth Lag phase d. A B Lag phase Carrying capacity b) The region of the graph that illustrates the exponential growth of a population and the type of graph illustrated are, respectively: Select one: a. Exponential Growth Type of Graph 4 S-shaped b. Exponential Growth Type of Graph 2 Logistic c. Exponential Growth Type of Graph 3 J-Shaped d. Exponential Growth Type of Graph 1 Exponential c) What do the regions numbered 2 and 4 on the graph represent? Select one: a. Region #2 Region #4 Immigration and birth rate is less than emigration and death rate. Emigration and death rate is less than immigration and birth rate. b. Region #2…A particular specie of animal has a carrying capacity of K and a growth rate of r. From an initial population of N0, what will be its population after a very long time? Show your calculations.
- A population with three life-stages separated by 3 years is modelled by a Leslie matrix, resulting in these predictions. The x-axis shows the number of time steps in the vector dynamics from the Leslie matrix multiplication. How many years before the long-term dynamics take over? a) 0 b) 2 c) 5 d) 15 What is the long term prediction for this population? a) decreases to zero b) anything could happen c) increases to infinity d) stable If the population started with many more animals and in different proportions from each life stage, would the prediction be the same or different? If the population started with many more animals and in different proportions from each life stage, in the long term dynamics what would be the ratio of newborns (stage 1) to youths (stage 2) to adults (stage 3). a) about 1 to 1 to 1 b) about 4 to 2 to 1 c) about 6 to 3 to 1 d) no way to judgeExplain the differences between equations for exponential population growth, logistic population growth, and Lotka-Volterra models for competition. Illustrate how and explain why these equations yield different trends?A few plant-eating salamanders manage to float on a log to a large island in the Pacific that did not have any other salamander species previously. The salamanders find the island has abundant plants for food and no predators. On average, a salamander has four offspring per year and lives for one year. Refer to the equation for the logistic growth model if you were modeling salamnder population growth with this logistic growth equation, during the first few years, a) N<K b) N=K c) N>K d) there is no relationship between N and K