Matrix Models 2.

The w recursion relations can be expressed as a single matrix relation (the picture at right is not part of the equation, thanks):
This can be even more succinctly written:

n(t+1) = L n(t)

where n(t+1) and n(t) are the columns of population values, and L is the square matrix defining the recursion.

Finally note that

n(t) = L n(t-1) = L2 n(t-2) = ... = Lt n(0),

which gives us a nice way of determining the populations at any time t in terms of a set of starting populations at time t = 0.

On the next page we'll look at some examples. Your browser will need to be able to handle JavaScript.
Home.
Population Page 14.
Population Page 16.

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