On the survival probability of a slightly advantageous mutant gene in a multitype population: A multidimensional branching process model
- 1 April 1984
- journal article
- research article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 19 (2) , 201-209
- https://doi.org/10.1007/bf00277746
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.Keywords
This publication has 7 references indexed in Scilit:
- On the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size?A branching process modelJournal of Mathematical Biology, 1981
- Worker-queen conflict and the evolution of social insectsTheoretical Population Biology, 1977
- Some Effects of Two Types of Migration on the Survival of a GeneBiometrics, 1972
- Population GeneticsPublished by Springer Nature ,1969
- Some Applications of Multiple-Type Branching Processes in Population GeneticsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1968
- The Theory of Branching ProcessesPublished by Springer Nature ,1963