Leslie Matrices (VCE SSCE General Mathematics): Flashcards

Model population changes over time by age groups

Only females (they give birth to new members)

Birth rate: avg. female offspring from age group $i$

Survival rate: proportion moving from group $i$ to $i+1$

$0 \leq s_i \leq 1$

Birth rates $b_1, b_2, \ldots, b_m$

Entries just below the main diagonal

$S_{n+1} = LS_n$

$S_n = L^nS_0$

Increase, decrease, stabilise, or oscillate