Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-Reduction
Polyploids are organisms whose genomes consist of more than two complete sets of chromosomes. Both autopolyploids and allopolyploids may display polysomic inheritance. A peculiarity of polysomic inheritance is multivalent formation during meiosis resulting in double-reduction, which occurs when sist...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Oxford University Press
2019-05-01
|
| Series: | G3: Genes, Genomes, Genetics |
| Subjects: | |
| Online Access: | http://g3journal.org/lookup/doi/10.1534/g3.119.400132 |
| _version_ | 1819147544657133568 |
|---|---|
| author | Kang Huang Tongcheng Wang Derek W. Dunn Pei Zhang Xiaoxiao Cao Rucong Liu Baoguo Li |
| author_facet | Kang Huang Tongcheng Wang Derek W. Dunn Pei Zhang Xiaoxiao Cao Rucong Liu Baoguo Li |
| author_sort | Kang Huang |
| collection | DOAJ |
| description | Polyploids are organisms whose genomes consist of more than two complete sets of chromosomes. Both autopolyploids and allopolyploids may display polysomic inheritance. A peculiarity of polysomic inheritance is multivalent formation during meiosis resulting in double-reduction, which occurs when sister chromatid fragments segregate into the same gamete. Double-reduction can result in gametes carrying identical-by-descent alleles and slightly increasing homozygosity. This will cause the genotypic frequencies to deviate from expected values and will thus bias the results of standard population genetic analytical methods used in molecular ecology and selective breeding. In this study, we extend existing double-reduction models to account for any even level of ploidy, and derive the symbolic expressions for genotypic frequencies via two methods. Inbreeding coefficients and heterozygosity under double-reduction and inbreeding are also calculated. Numerical solutions obtained by computer simulations are compared with analytical solutions predicted by the model to validate the model. |
| first_indexed | 2024-12-22T13:31:31Z |
| format | Article |
| id | doaj.art-523cd88432814438b1da0877f2ed6ec1 |
| institution | Directory Open Access Journal |
| issn | 2160-1836 |
| language | English |
| last_indexed | 2024-12-22T13:31:31Z |
| publishDate | 2019-05-01 |
| publisher | Oxford University Press |
| record_format | Article |
| series | G3: Genes, Genomes, Genetics |
| spelling | doaj.art-523cd88432814438b1da0877f2ed6ec12022-12-21T18:24:10ZengOxford University PressG3: Genes, Genomes, Genetics2160-18362019-05-01951693170610.1534/g3.119.40013237Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-ReductionKang HuangTongcheng WangDerek W. DunnPei ZhangXiaoxiao CaoRucong LiuBaoguo LiPolyploids are organisms whose genomes consist of more than two complete sets of chromosomes. Both autopolyploids and allopolyploids may display polysomic inheritance. A peculiarity of polysomic inheritance is multivalent formation during meiosis resulting in double-reduction, which occurs when sister chromatid fragments segregate into the same gamete. Double-reduction can result in gametes carrying identical-by-descent alleles and slightly increasing homozygosity. This will cause the genotypic frequencies to deviate from expected values and will thus bias the results of standard population genetic analytical methods used in molecular ecology and selective breeding. In this study, we extend existing double-reduction models to account for any even level of ploidy, and derive the symbolic expressions for genotypic frequencies via two methods. Inbreeding coefficients and heterozygosity under double-reduction and inbreeding are also calculated. Numerical solutions obtained by computer simulations are compared with analytical solutions predicted by the model to validate the model.http://g3journal.org/lookup/doi/10.1534/g3.119.400132Polysomic inheritancedouble-reductiongenotypic frequencyinbreeding coefficientheterozygosity |
| spellingShingle | Kang Huang Tongcheng Wang Derek W. Dunn Pei Zhang Xiaoxiao Cao Rucong Liu Baoguo Li Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-Reduction G3: Genes, Genomes, Genetics Polysomic inheritance double-reduction genotypic frequency inbreeding coefficient heterozygosity |
| title | Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-Reduction |
| title_full | Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-Reduction |
| title_fullStr | Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-Reduction |
| title_full_unstemmed | Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-Reduction |
| title_short | Genotypic Frequencies at Equilibrium for Polysomic Inheritance Under Double-Reduction |
| title_sort | genotypic frequencies at equilibrium for polysomic inheritance under double reduction |
| topic | Polysomic inheritance double-reduction genotypic frequency inbreeding coefficient heterozygosity |
| url | http://g3journal.org/lookup/doi/10.1534/g3.119.400132 |
| work_keys_str_mv | AT kanghuang genotypicfrequenciesatequilibriumforpolysomicinheritanceunderdoublereduction AT tongchengwang genotypicfrequenciesatequilibriumforpolysomicinheritanceunderdoublereduction AT derekwdunn genotypicfrequenciesatequilibriumforpolysomicinheritanceunderdoublereduction AT peizhang genotypicfrequenciesatequilibriumforpolysomicinheritanceunderdoublereduction AT xiaoxiaocao genotypicfrequenciesatequilibriumforpolysomicinheritanceunderdoublereduction AT rucongliu genotypicfrequenciesatequilibriumforpolysomicinheritanceunderdoublereduction AT baoguoli genotypicfrequenciesatequilibriumforpolysomicinheritanceunderdoublereduction |