Construct and interpret Leslie matrices and life-cycle diagrams
A wildlife survey follows a female woodland-bird population through equal-width age groups
The population is recorded once per model interval in the declared group order
Each group has width 1 year; one recurrence step advances one such interval
Females are counted; each fertility rate is the expected number of daughters per counted female in one model period
Write the state as a column in the order nestling, juvenile, subadult. In \(L\), rows are destination groups and columns are source groups
\[S_0 = \begin{bmatrix} 106 \\ 142 \\ 91 \end{bmatrix}\]
\[L = \begin{bmatrix} 1.4 & 0.8 & 0.4 \\ 0.8 & 0 & 0 \\ 0 & 0.9 & 0 \end{bmatrix}\]