in 1980 the population of alligators on the kennedy space center grounds was estimated to be 1500. in 2006 the population had grown to an estimated 6000. (a) using the malthusian law (see page 95 of the text) for population growth, estimate the population of alligators on the grounds in 2020. (b) suppose we have the additional estimate that in 1993, the population was 4100. using the logistic model, estimate the population in 2020.
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(a) Using the Malthusian law, we can estimate the population of alligators on the Kennedy Space Center grounds in 2020 given the data provided as:
We know that: In 1980 the population of alligators on the Kennedy Space Center grounds was estimated to be 1500.In 2006 the population had grown to an estimated 6000. Now using the Malthusian law (Nt = Noert), we can find the value of r.
ert = ln(Nt/No)r = ln(Nt/No)/t = ln(6000/1500)/26r = 0.091approx.Now putting this value into the formula Nt = Noert, we have Nt = 1500e^(0.091 x 40) = 1500e^(3.64) ≈ 49,012.So, the estimated population of alligators on the grounds in 2020 is approximately 49,012.(b) Let us use the logistic model to estimate the population in 2020. We have the following additional data: In 1993, the population was 4100.
Thus, the value of the carrying capacity K = 4100, and using the logistic growth equation we can find the value of r, which is the growth rate of the population./ = rN(1-N/K)Where N is the population size, K is the carrying capacity, and r is the intrinsic rate of natural increase.
Now using the data of 1993 and 2006 to calculate r, we get: = / ∗ 1/(∗(1−/)) = ln((6000/4100))/(2006−1993) ∗ 1/(4100∗(1−1500/4100)) ≈ 0.07Using the value of r and the logistic growth equation, we have:()= /(1+((/)−1) ∗ e−)Substituting the values of K, No and r, we get:(2020) = 4100/(1+((4100/1500)−1) ∗ e−0.07(2020−1993))≈ 36,239Therefore, the estimated population of alligators in 2020 using the logistic model is approximately 36,239.
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Explanation:
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Issuing press releases, placing stories and articles in the media, entering coalitions with other groups, and contacting interest group members are examples of advocacy strategies or tactics that interest groups can use to influence public policy and public opinion.
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To estimate elasticity, compare the____
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Answer:
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Explanation:
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The degree to which participants collaborate and rely on one another to provide the information, materials, and resources needed to finish tasks.
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Answer:
they believe that after you die you go to heaven and the way to get to heaven is you to be baptized
Explanation:. :)
Answer:
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The braking time of a car is a continuous random variable because it can take on any value within a certain range, and it is not restricted to specific values.
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Answer:
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Question 3
At what age did children in Sparta begin training to defend their city?
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Answer:
7
Explanation:
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Answer:
b. contains glaciers
Explanation:
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Answer:
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