Consider a species of elk that can be split into 4 age groupings: those aged 0-1...

 

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Consider a species of elk that can be split into 4 age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years, and those aged 3-4 years. The population is observed once a year. Given that the Leslie matrix is equal to O 0.9 1.2 1.2 L%3D 0 0,5 0.2 and the initial population distribution is 46 of the first age group, 17 of the second age group, 11 of the third group, and 3 of the oldest age group, answer the following questions. 46 17 The initial population vector is xo = 11 3 How many elk aged 1-2 years are there expected to be after 10 years? 194 How many elk aged 0-1 years are there expected to be after 20 years? 1644 How many elk are there expected to be after 30 years? 25479 Calculate the dominant eigenvalue of the Leslie matrix good to 3 decimal places. A1 = 1.215 What is the long-term growth rate of this population of elk as a percent? growth rate = 21.5 (The growth rate is the percentage of growth over/under 100%.) Are the elk thriving, static, or going extinct? thriving Consider a species of elk that can be split into 4 age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years, and those aged 3-4 years. The population is observed once a year. Given that the Leslie matrix is equal to O 0.9 1.2 1.2 L%3D 0 0,5 0.2 and the initial population distribution is 46 of the first age group, 17 of the second age group, 11 of the third group, and 3 of the oldest age group, answer the following questions. 46 17 The initial population vector is xo = 11 3 How many elk aged 1-2 years are there expected to be after 10 years? 194 How many elk aged 0-1 years are there expected to be after 20 years? 1644 How many elk are there expected to be after 30 years? 25479 Calculate the dominant eigenvalue of the Leslie matrix good to 3 decimal places. A1 = 1.215 What is the long-term growth rate of this population of elk as a percent? growth rate = 21.5 (The growth rate is the percentage of growth over/under 100%.) Are the elk thriving, static, or going extinct? thriving