Chapter 2, Problem 7P

To determine

To calculate: The projected population matrix after $50$ years, after $100$ years and after $150$ years and the conclusion about the population of northern spotted owl if owls in juvenile phase leave their nest and make their own territory for which they need dense forest nearby otherwise they would become prey to predators and hence the total population will decrease.

The matrix showing population of spotted owl in initial year is, $X_0=\left[\begin{array}{c}650\\ 200\\ 2100\end{array}\right]$ and $A=\left[\begin{array}{ccc}0& 0& 0.33\\ 0.18& 0& 0\\ 0& 0.71& 0.94\end{array}\right]$.