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Statistics of Mendelian segregation-A mixture model
1Department of Botany and Plant Sciences, University of California, Riverside, California.
Summary
Mendelian segregation creates genetic variation within families. Inbreeding increases total genetic variance by shifting it from within-family to between-family components, maintaining allelic variance over time.
Area of Science:
- Genetics
- Quantitative Genetics
- Statistical Genetics
Background:
- Mendel's law of segregation explains genetic variation maintenance.
- Offspring inherit one random allele from each parent, contributing to within-family variance.
- Genetic value in offspring follows a mixture distribution of parental alleles.
Purpose of the Study:
- To define multiple Mendelian variables.
- To develop a mixture model for quantitative genetics.
- To analyze the impact of inbreeding on genetic variance partitioning.
Main Methods:
- Development of a mixture model based on Mendelian variables.
- Partitioning of total genetic variance into between-family and within-family components.
- Analysis of variance shifts under conditions of inbreeding.
Main Results:
- In the absence of inbreeding, genetic variance is equally partitioned between families.
- Inbreeding increases between-family variance at the expense of within-family variance.
- Total genetic variance increases with inbreeding, maintaining allelic variance.
Conclusions:
- The study introduces a mixture model for quantitative genetics.
- A "law of conservation of allelic variance" is proposed, analogous to the law of conservation of mass.
- The model elucidates how genetic variation is maintained across generations, even with inbreeding.
Keywords:
Mendel's law of segregationbetween-family and within-family variancesconservation law of genetic variancemixture modelpartitioning of variance componentsMore Related Videos
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