Suppose we are trying to model the population of female peng…

Suppose we are trying to model the population of female penguins in Antarctica. We’ve been told that the penguins never get older than 4 years old. We are also told that 51% of the age 0 females, 82% of the age 1 females, 87% of the age 2 females, and 86% of the age 3 females are alive when we take the census at time . Additionally, we are told that each female must be at least 1 year old to have offspring, but 2-year olds have no offspring. Lastly, we are told that every female who has offspring is left with an average of   surviving female baby penguins where   is the mother’s age. What is the Leslie matrix for this age-structured population?