## Quick Reference

A matrix that captures the evolution of the age distribution of the females in a population. The female population is divided into *g* age-groups, each of width *k* years. The probability that a female, in group *j* at time *t*, will be alive in group (*j*+1) at time (*t*+*k*) is denoted by *S** _{j}*. The mean number of female offspring born to a mother in group

*j*between times

*t*and (

*t*+

*k*), and alive at time (

*t*+

*k*), is denoted by

*M*

*. The Leslie matrix,*

_{j}**L**, is given by The entries in this matrix are the mean numbers at time (

*t*+

*k*) resulting from single individuals in each group at time

*t*. If

**N**(

*t*) is the

*g*×1 column vector with entries being the mean numbers of females in the groups at time

*t*then the Leslie model states that

**N**(*t*+*k*)=**LN**(*t*).

*Subjects:*
Probability and Statistics.

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