The frequency spectrum of a mutation, and its age, in a general diffusion model.

Journal article

General formulae are derived for the probability density and expected age of a mutation of frequency x in a population, and similarly for a mutation with b copies in a sample of n genes. A general formula is derived for the frequency spectrum of a mutation in a sample. Variable population size models are included. Results are derived in two frameworks: diffusion process models for the frequency of the mutation; and birth and death process models. The coalescent structure within the mutant gene group and the non-mutant group is considered.

Authors: Griffiths, R

• Publication status: Published
• Journal: Theoretical population biology
• Volume: 64
• Issue: 2
• Pages: 241-251
• Publication date: 2003-09-01
• DOI: 10.1016/s0040-5809(03)00075-3
• EISSN: 1096-0325
• ISSN: 0040-5809
• Language: English
• Keywords: Reproduction; Mutation; Population Density; Models, Genetic; Alleles; Mathematics; Mortality; Gene Frequency; Birth Rate; Genetics, Population; Probability