### Abstract

A method to calculate joint gene frequencies, which are the probabilities that two neutral genes taken at random from a population have certain allelic states, is developed taking into account the effects of the mating system and the mutation scheme. We assume that the mutation rates are constant in the population and that the mating system does not depend on allelic states. Under either - the condition that mutation rates are symmetric or that the mating unit is large and the mutation rate is small - the general formula is represented by two terms, one for the mating system and the other for the mutation scheme. The term for the mating system is expressed using the coancestry coefficient in the infinite allele model, and the term for the mutation scheme is a function of the eigenvalues and the eigenvectors of the mutation matrix. Several examples are presented as applications of the method, including homozygosity in a stepping-stone model with a symmetric mutation scheme.

Original language | English |
---|---|

Pages (from-to) | 963-974 |

Number of pages | 12 |

Journal | Genetics |

Volume | 111 |

Issue number | 4 |

Publication status | Published - 1985 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Genetics
- Genetics(clinical)

### Cite this

*Genetics*,

*111*(4), 963-974.

**Joint frequencies of alleles determined by separate formulations for the mating and mutation systems.** / Tachida, Hidenori.

Research output: Contribution to journal › Article

*Genetics*, vol. 111, no. 4, pp. 963-974.

}

TY - JOUR

T1 - Joint frequencies of alleles determined by separate formulations for the mating and mutation systems

AU - Tachida, Hidenori

PY - 1985

Y1 - 1985

N2 - A method to calculate joint gene frequencies, which are the probabilities that two neutral genes taken at random from a population have certain allelic states, is developed taking into account the effects of the mating system and the mutation scheme. We assume that the mutation rates are constant in the population and that the mating system does not depend on allelic states. Under either - the condition that mutation rates are symmetric or that the mating unit is large and the mutation rate is small - the general formula is represented by two terms, one for the mating system and the other for the mutation scheme. The term for the mating system is expressed using the coancestry coefficient in the infinite allele model, and the term for the mutation scheme is a function of the eigenvalues and the eigenvectors of the mutation matrix. Several examples are presented as applications of the method, including homozygosity in a stepping-stone model with a symmetric mutation scheme.

AB - A method to calculate joint gene frequencies, which are the probabilities that two neutral genes taken at random from a population have certain allelic states, is developed taking into account the effects of the mating system and the mutation scheme. We assume that the mutation rates are constant in the population and that the mating system does not depend on allelic states. Under either - the condition that mutation rates are symmetric or that the mating unit is large and the mutation rate is small - the general formula is represented by two terms, one for the mating system and the other for the mutation scheme. The term for the mating system is expressed using the coancestry coefficient in the infinite allele model, and the term for the mutation scheme is a function of the eigenvalues and the eigenvectors of the mutation matrix. Several examples are presented as applications of the method, including homozygosity in a stepping-stone model with a symmetric mutation scheme.

UR - http://www.scopus.com/inward/record.url?scp=0022374143&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022374143&partnerID=8YFLogxK

M3 - Article

C2 - 4065547

AN - SCOPUS:0022374143

VL - 111

SP - 963

EP - 974

JO - Genetics

JF - Genetics

SN - 0016-6731

IS - 4

ER -