Complications Theta correction Mutation Silent alleles Theta correction, mutations, silent alleles Thore Egeland(1),(2) (1) Norwegian University of Life Sciences, (2) NIPH Athens Feb 11-12 2016 1 / 16 Complications Theta correction Mutation Silent alleles Beyond standard cases I Complex pedigrees Large, inbred I Theta corrrection If e.g. Hardy-Weinberg does not apply I Mutation If e.g. parent and child share no alleles I Silent alleles Homozygote or silent allele? I Drop out Homozygote or drop out? 2 / 16 Complications Theta correction Mutation Silent alleles Dispute laid to rest 3 / 16 Complications Theta correction Mutation Silent alleles Hardy Weinberg 4 / 16 Complications Theta correction Mutation Silent alleles I Fraction homozygotes increases with θ 5 / 16 Complications Theta correction Mutation Silent alleles Previous example 6 / 16 Complications Theta correction Mutation Silent alleles Fst=Theta=0.01. Input: Pedigrees > Parameters I I LR = 2.298 · 1.764 = 4.1 when θ = 0.01 LR = 2.450 · 1.805 = 4.4 when θ = 0.00. 7 / 16 Complications Theta correction Mutation Silent alleles Mutation: Exercise 2.2, 2.7 AF 14/15 Mother −/− Child 16/17 9 / 16 Complications Theta correction Mutation Silent alleles Mutation: Results, simillar to Exercise 2.9 System D3S1358 TPOX D6S474 3 markers 22 (1 mut) Child 17/17 8/8 16/17 AF 17/18 8/8 14/15 ... ... LR 2.450 1.805 0.000 0.000 ... 0.000 LR(mut) 2.449 1.804 0.001 0.0045 ... 25070642 Table 1: Genotype data for a Child and alleged father (AF) along with LR-s. The rightmost column is based on a stepwise unstationary mutation model (expained below) with mutation rate 0.001 and range 0.5 for all markers. 10 / 16 Complications Theta correction Mutation Silent alleles Equal model I P(no mutation) = 0.999 I Problem: P(14 → 17) = P(15 → 16) = 0.0002. 11 / 16 Complications Theta correction Mutation Silent alleles Mutation: Biology I Mutation rates: http://www.cstl.nist.gov/strbase/mutation.htm 12 / 16 Complications Theta correction Mutation Silent alleles Mutation: Input 13 / 16 Complications Theta correction Mutation Silent alleles Mutation Matrix. Range Range = 15 → 17 0.00015385 = = 0.5 15 → 16 0.0030769 14 / 16 Complications Theta correction Mutation Silent alleles Silent alleles. Input: General DNA data > . . . > Options 15 / 16 Complications Theta correction Mutation Silent alleles Exercise 2.11 AF B/− mother A/− child A/− I I I I Enter genotypes as homozygous. pB = 0.1, pS = P(“Silent allele”) = 0.05. Now e.g. P(B/−) = pB2 + 2 · pB pS = 0.02. Statistics for silent alleles: http://www.cstl.nist.gov/strbase/NullAlleles.htm 16 / 16
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