This applet simulates Galton-Watson branching processes,
with a variety of offspring distributions:
Binomial,
P(X=x)=
æ è
n
p
ö ø
px(1-p)(n-x),
with
Parameter 1 representing n and Parameter 2 representing p.
Poisson,
P(X=x)=
e-llx
x!
,
with
Parameter 1 representing l.
A geometric
distribution, P(X=x)=p(1-p)x for x ³ 0, with Parameter 1
representing p.
A distribution with
P(X=x)=[ 6/(p2(x+1)2)].
Use the ``Start'' button to see the next generation. Use the
``Stop'' button to clear the current branching process and start
again. If the population size gets very large then the program
will display ``Population explosion'' and stop running.
The applet was written by Camilla Jordan and Jonathan Jordan.
File translated from
TEX
by
TTH,
version 3.21. On 17 Sep 2003, 12:36.