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. The leslie matrix for this graph is also given below. Compute the dominant eigenvalue (use wolfram alpha). 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.
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. The leslie matrix for this graph is also given below.
Compute the dominant eigenvalue (use wolfram alpha). 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 up to one digit past the decimal point.
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