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
Enter the time step (how many step to simulate)
Enter data for vector of initial population of each
Thus we have the Leslie Matrix, M :
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
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,
PROYEKSI LESLIE --- PROGRAM MATHCAD