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Converting a life-cycle graph to a matrix

This life cycle graph can be translated into a matrix, $\mathbf A$, and the number of individuals in the next time step can be calculated as

\begin{displaymath}
{\mathbf n}(t) = {\mathbf A}{\mathbf n}(t-1) \quad
\end{displaymath}

(cf. the equation for Leslie matrices). The matrix corresponding to the life-cycle graph in Figure 1 is:

\begin{displaymath}
\left(
\begin{array}{rrrrrr}
0 & 0 & 0 & 0 & 0 & 322.38 \\
...
...7 & 0.862 \\
0 & 0 & 0 & 0.023 & 0.750 & 0
\end{array}\right)
\end{displaymath}



Kent Holsinger 2007-09-16