Growth curve at each time step
along t :

which in transpose form of Nt :

Each column of the Matrix NT consists of a "one step" or an age vector of
the population. The leftern most column is the initial vector N0.

The total population of each vector will To construct a graph
of the population growth along the time steps 0 ... t, we have to find the total
population in each vector Nt :

Say NT is the vector of the population at time or step t, then
following

Leslie equation:

Enter the time step (how many step to simulate)

Enter data for vector of initial population of each
stage:

Thus we have the Leslie Matrix, M :

Enter data for Fx

Enter data for p statistic:

Enter number of stage (x):

Since p (survival
data) are located diagonally starting at first column and second row, to enter p
we firstly construct a vector of x-1
dimension (n = x-1).

Also consider that Origin=0 is used in this Mathcad
program.

Statistics needed for population growth simulation using
Leslie model are:

F (fecundity) and
p (survival) of the population in each
stage of development or

age-class, and the initial population vector N. ( in some texts, m is used for F and

s for p ).

Say, x is the number
of age-class, the Leslie transition matrix is Mx.x.

A Mathcad program for Leslie
model population growth simulation,

by Rudy C Tarumingkeng,
IPB-Bogor, Indonesia

MATRIKS
PROYEKSI LESLIE --- PROGRAM MATHCAD