title: On the survival probability of a slightly advantageous mutant gene in a multitype population: a multidimensional branching process model.
abstract: The estimated survival probability of a slightly supercritical Galton-Watson process is generalized to a multitype branching process. The result is used to estimate the probability of initial success of a mutant gene whose effect on the individual carrier depends on the carrier's sex, class, etc. The probability of initial success is also estimated in a case where the effect of the mutation is manifested in terms of the distribution of types within one's progeny, e.g. in a case of a change in the sex ratio.
mesh_terms: D005796:Genes; D005828:Genetics, Population; D006579:Heterozygote; D008957:Models, Genetic; D009154:Mutation; D011336:Probability; D012641:Selection, Genetic