Summary: Simulation, Final project:
Demography
Søren Asmussen
December 2, 2004
Stable population theory
We first recall from week 12 the definition of a Galton-Watson process with a
finite set 1, . . . , q of types. The process is vector-valued, Xn = X1
n, . . . , Xq
n
where Xj
n is the number of type j individuals at time n, and the children of the
ith type k individual is a vector Zj
n,i = Zk,1
n,i , . . . , Zk,q
n,i . Thus
Xj
n+1 =
q
k=1
Xk

Source: Asmussen, Søren - Department of Mathematical Sciences, Aarhus Universitet

Collections: Mathematics