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Polygenic and Multifactoral Traits • Polygenic inheritance Continuous variation Additive alleles Calculating the number of genes • Heritability Statistical tools: Mean, variance Broad sense heritability Narrow sense heritability Twin Studies and concordance Continuous variation • Kolreuter’s cross • Dwarf x tall tobacco • F1 intermediate • F2 intermediate, normal distribution Multiple gene hypothesis • East’s cross of Nicotiana with different corolla length • Indicates Mendelian segregation of different phenotypic classes • Took subsets of F2 and crossed. Multiple factor hypothesis • • • • • • Characters quantified Two or more genes Additive alleles Contribute a constant amount Non-additive add nothing All alleles add equally Polygenic inheritance • 2 or more genes • Show continuous variation vs discontinuous • Additive component • Distinct phenotypic classes • Quantitative traits: size, weight, height,IQ Polygenic inheritance Skin color Additive Model • (1/4)n= ratio of f2 individuals showing extreme phenotype • n = (2n +1) phenotypic classes Regression to the mean • Tendency of offspring of parents with extreme differences in phenotype to exhibit a phenotype that is average of the two parental phenotypes • Dominant and additive effects Threshold effects • Some individuals show affected or unaffected phenotypes • Predisposition is caused by a number of genes in an additive way • Will develop the genetic disorder if exposed to proper environmental conditions. Familial Risks • First degree: Parentchild share ½ genes • Second degree: grandfather: grandchild share ¼ genes • Third degree share 1/8 genes Statistical Analysis • Mean (X) = ∑Xi/n • Variance (s2) = (∑Xi – X)2/n-1 • Standard deviation (s) = √s2 Broad-sense Heritabilty • H2 = proportion of total variance caused by genetic variance • H2 = 1.0, all genetic • H2 = 0 all variation due to environment • Vp= phenotypic var • Vg= genetic var • VE= enviromental var • Vp= Vg + VE • H2= Vg/Vp Twin studies Heritability Survey of traits