The owl population in a year n can be divided into juveniles, subadults and adults. Adults produce, on average, 0.4 juveniles each year. Approximately 53% of juveniles survive to be subadults the next year, while 73% of subadults survive to become adults. Approximately 89% of the adult population survives from one year to the next. 1. Write down the equations for juveniles, subadults and adults in the year n+1 as functions of the juvenile, subadult and adult populations at year n. Explain all terms. 2. Carefully explaining your notation and the terms, write down a matrix equation
The owl population in a year n can be divided into juveniles, subadults and
adults. Adults produce, on average, 0.4 juveniles each year. Approximately
53% of juveniles survive to be subadults the next year, while 73% of subadults
survive to become adults. Approximately 89% of the adult population survives
from one year to the next.
1. Write down the equations for juveniles, subadults and adults in the year n+1 as functions of the juvenile,
subadult and adult populations at year n. Explain all terms.
2. Carefully explaining your notation and the terms, write down a matrix equation of the form pn+1 = Apn.
3. If there are 21 juveniles, 17 subadults and 53 adults this year, how many of each would we expect next
year?
4. What is the equation that would describe the population in 5 years? (Do not calculate it!)
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