Moments for sum of an arbitrary function of gene frequency along a stochastic path of gene frequency change.
- 1 April 1975
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 72 (4) , 1602-1604
- https://doi.org/10.1073/pnas.72.4.1602
Abstract
A diffusion model is developed to compute any moment of the sum of an arbitrary function of the gene frequency along sample paths between any two specified frequencies. This is used to calculate the mean age of a mutant of frequency chi, including or excluding the possibility of its having been at value chi equals 1 during the process, and the total frequency of heterozygotes involving an allele since its origin.Keywords
This publication has 14 references indexed in Scilit:
- Mutational pressure as the main cause of molecular evolution and polymorphismNature, 1974
- On Some Principles Governing Molecular EvolutionProceedings of the National Academy of Sciences, 1974
- The age of an allele in a finite populationGenetics Research, 1974
- The Moments of Stochastic Integrals and the Distribution of Sojourn TimesProceedings of the National Academy of Sciences, 1974
- Conditional diffusion processes in population geneticsTheoretical Population Biology, 1973
- The Dilemma of Nearly Neutral Mutations: How Important Are They For Evolution and Human Welfare?Journal of Heredity, 1972
- The average number and the variance of generations at particular gene frequency in the course of fixation of a mutant gene in a finite populationGenetics Research, 1972
- Total number of individuals affected by a single deleterious mutation in large populationsTheoretical Population Biology, 1971
- The average number of generations until extinction of an individual mutant gene in a finite population.1969
- Evolutionary Rate at the Molecular LevelNature, 1968