next up previous
Next: Markov Chain Models Up: Due in Recitation on Previous: Due in Recitation on

A Population Problem

One application of linear algebra is to the evolution of population distributions over time.

For example, consider the following data about regional population distribution in the United States.

Figure: Regional Population Shifts
\begin{tabular}{\vert c\vert c\vert c\vert c\vert c\vert c\vert} ...
...4. & South & 75.4 M & .3327 & 85.4 M & .3434 \\ \hline

If the population redistribution seen in this table were to continue, what might that mean for the future? In this problem, you'll look at a Markov chain model to explore this. First we review how such a model works: