A hamster population, where we only consider females, can be divided into two-age groups: Minors have a one-to-six chance of surviving the first year and on average the two offspring. The second litter is over-one-year-old. No hamster grows older than two years A. Set up a Leslie matrix L that represents the information given above. Information is missing. Introduce a variable value as needed B. How many individuals of each cohort are there after one year when we assume that the population starts with 10 over-one-year-olds and 15 under-one-year-olds? How many individuals from each cohort are there after two years? The answer depends on the variables you introduced. These assumptions regarding the initial population only apply here, not in (d) below C. The measurements have shown that the population grows long-term with a growth rate = 52, ie after one year the population is around 52 times as large as before. Based on this information, determine the value of the variables. You do not have to show all your calculations, but it must be understandable and reproducible what you have done and why (describe it in your own words) D. With regard to the initial population, we only know that the number of minors is between eight and twelve, and the number of minors is between six and ten. Describe (or illustrate graphically) as accurately as possible what we can say about the population after one to two years.
A hamster population, where we only consider females, can be divided into two-age groups: Minors have a one-to-six chance of surviving the first year and on average the two offspring. The second litter is over-one-year-old. No hamster grows older than two years A. Set up a Leslie matrix L that represents the information given above. Information is missing. Introduce a variable value as needed B. How many individuals of each cohort are there after one year when we assume that the population starts with 10 over-one-year-olds and 15 under-one-year-olds? How many individuals from each cohort are there after two years? The answer depends on the variables you introduced. These assumptions regarding the initial population only apply here, not in (d) below C. The measurements have shown that the population grows long-term with a growth rate = 52, ie after one year the population is around 52 times as large as before. Based on this information, determine the value of the variables. You do not have to show all your calculations, but it must be understandable and reproducible what you have done and why (describe it in your own words) D. With regard to the initial population, we only know that the number of minors is between eight and twelve, and the number of minors is between six and ten. Describe (or illustrate graphically) as accurately as possible what we can say about the population after one to two years.
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter12: Review Of Calculus And Probability
Section12.5: Random Variables, Mean, Variance, And Covariance
Problem 5P
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Transcribed Image Text:A hamster population, where we only consider females, can be divided into two-age groups: Minors have a one-to-six chance of surviving the first year and on average the two offspring.
The second litter is over-one-year-old. No hamster grows older than two years
A. Set up a Leslie matrix L that represents the information given above. Information is missing. Introduce a variable value as needed
B. How many individuals of each cohort are there after one year when we assume that the population starts with 10 over-one-year-olds and 15 under-one-year-olds?
How many individuals from each cohort are there after two years? The answer depends on the variables you introduced. These assumptions regarding the initial population only apply here, not in (d) below
C. The measurements have shown that the population grows long-term with a growth rate = 52, ie after one year the population is around 52 times as large as before.
Based on this information, determine the value of the variables. You do not have to show all your calculations, but it must be understandable and reproducible what you have done and why
(describe it in your own words)
D. With regard to the initial population, we only know that the number of minors is between eight and twelve,
and the number of minors is between six and ten. Describe (or illustrate graphically) as accurately as possible what we can say about the population after one to two years.
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