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 judge The Leslie matrix to the graph is given below. Use Wolfram Alpha to compute the dominant eigenvalue. Use trial and error to answer this question. If you can change the survival rate for adults (life stage 3), then what would be the smallest survival rate that makes this population stable or increase in the long-term? Use trial and error to find the smallest number that when you change that entry in the matrix, the population does not decay in the long-term. Give your answer 1 digit after decimal
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 judge
The Leslie matrix to the graph is given below.
Use Wolfram Alpha to compute the dominant eigenvalue. Use trial and error to answer this question.
If you can change the survival rate for adults (life stage 3), then what would be the smallest survival rate that makes this population stable or increase in the long-term?
Use trial and error to find the smallest number that when you change that entry in the matrix, the population does not decay in the long-term. Give your answer 1 digit after decimal
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