We present a model for biological aging that considers the number of i
ndividuals whose (inherited) genotype determines the maximum age for d
eath: each individual may die before that age due to some external fac
tor, but never after that limit. The genotype of the offspring is inhe
rited from the parent with some mutations, described by a transition m
atrix. The model can describe different strategies of reproduction and
it is exactly soluble. The applied our method to the bit-string model
for aging and the results are in perfect agreement with numerical sim
ulations. (C) 1998 Elsevier Science B.V. All rights reserved.