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Reliability of Genomic Predictions for North American Dairy Bulls. Sequencing and Genotyping. Cattle genome sequenced in 2004 30 chromosome pairs (including X,Y) 3 billion letters from each parent Illumina BovineSNP50 BeadChip 58,000 genetic markers in 2007
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Reliability of Genomic Predictions for North American Dairy Bulls
Sequencing and Genotyping • Cattle genome sequenced in 2004 • 30 chromosome pairs (including X,Y) • 3 billion letters from each parent • Illumina BovineSNP50 BeadChip • 58,000 genetic markers in 2007 • 38,416 used in genomic predictions • Current cost <$250 per animal
Experimental Design • Compute genomic evaluations and parent averages from 2003 data • 3576 older Holstein bulls born 1952-1998 • Compare ability to predict daughter deviations in 2008 data • 1759 younger bulls born 1999-2002 • Test results for 27 traits: 5 yield, 5 health, 16 conformation, and Net Merit
Genomic Methods • Direct genomic evaluation • Inversion for linear prediction, REL • Iteration for nonlinear prediction • Combined genomic evaluation • 3 x 3 selection index combining direct genomic PTA, traditional PA or PTA, and subset PA or PTA by REL
Major Gene on Chromosome 18Net Merit, Productive Life, Calving Ease, Stature, Strength, Rump Width
Linear and Nonlinear Predictions • Linear model • Infinitesimal alleles model in which all loci have non-zero effects • Nonlinear models • Model A: infinitesimal alleles with a heavy-tailed prior • Model B: finite locus model with normally-distributed marker effects • Model AB: finite locus model with a heavy-tailed prior
R2 vs. Reliability • Adjust the observed genomic R2 • Daughter deviations contain error • Divide by REL of 2008 deviations • Parents are selected • Add difference of PA R2 from expected • Adjust theoretical genomic REL • Genotypes contain a few errors • QTLs are located between SNPs
R2 and Reliabilities for Traditional and Genomic Predictions
R2 and Reliabilities for Traditional and Genomic Predictions
Reliability Gains for Proven Bulls • Bulls included in test had: • >10 daughters in August 2003 • >10% increase in reliability by 2008 • Numbers of bulls in test ranged from 104 to 735 across traits • Predicted the change in evaluation • Significant increase in R2 (P < .001) for 26 of 27 traits
SNPs on X Chromosome • Each animal has two evaluations: • Expected genetic merit of daughters • Expected genetic merit of sons • Difference is sum of effects on X • SD = .1 σG, smaller than expected • Correlation with sire’s daughter vs. son PTA difference was significant (P<.0001), regression close to 1.0
X, Y, Pseudo-autosomal SNPs 35 SNPs 35 SNPs 0 SNPs 487 SNPs
Clones and Identical Twins21HO2121, 21HO2125, 21HO2100, CAN6139300, CAN6139303
Value of Genotyping More SNP9,604 (10K), 19,208 (20K), and 38,416 (40K) SNP
Simulated ResultsWorld Holstein Population • 15,197 older and 5,987 younger bulls in Interbull file • 40,000 SNPs and 10,000 QTLs • Provided timing, memory test • Reliability vs parent average REL • REL = corr2 (EBV, true BV) • 80% vs 34% expected for young bulls • 72% vs 30% observed in simulation
Brown Swiss Results • Nearly all proven bulls genotyped • Data from 225 bulls born before 1999 • Predict 118 bulls born during or after 1999 • Gains in young bull reliability • Expected to be 1% to 3% • Actual gains were about 2% for yield • Little or no gain for other traits • Cooperation with Europe is needed
Jersey Genotypes • Same experimental design • DNA available for 766 bulls • Total of 594 genotyped as of June • Results not available yet • Gains in reliability expected to be proportional to number of bulls genotyped
Expected vs Observed ReliabilityHolsteins • Reliability for predictee bulls • Traditional PA: 27% average across traits • Genomic: 63% expected vs. 50% observed • Observed range 78% (fat pct) to 31% (SCE) • PTA regressions .8 to .9 of expected • Multiply genomic daughter equivalents by .7 to make expected closer to observed • For example, 16 * .7 = 11 • Include polygenic effect, less than 5%
Genetic ProgressHolsteins • Assume 60% REL for net merit • Sires mostly 2 instead of 6 years old • Dams of sons mostly heifers with 60% REL instead of cows with phenotype and genotype (66% REL) • Progress could increase by >50% • 0.37 vs. 0.23 genetic SD per year • Reduce generation interval more than accuracy
Genetic Evaluation Advancesand increases in genetic progress
How Related are Relatives?Correction • Example: Full sibs • Share 50% ± 5% of their DNA on average (in cattle) • SD 3.5% reported previously was low • For any diploid species, general formula is 50% ± 50% / [2(C + L)].5, where C is number of chromosomes and L is genome length in Morgans
Conclusions • Genomic predictions significantly better than parent average (P < .0001) for all 26 traits tested • Gains in reliability equivalent on average to 11 daughters with records • Analysis used 3576 historical bulls • April data included 5285 proven bulls • High REL requires many genotypes
Acknowledgments • Genotyping and DNA extraction: • BFGL, U. Missouri, U. Alberta, GeneSeek, GIFV, and Illumina • Computing: • AIPL staff (Mel Tooker, Leigh Walton, etc.) • Funding: • National Research Initiative grants • 2006-35205-16888, 2006-35205-16701 • Agriculture Research Service • Contributors to Cooperative Dairy DNA Repository (CDDR)
CDDR Contributors • National Association of Animal Breeders (NAAB, Columbia, MO) • ABS Global (DeForest, WI) • Accelerated Genetics (Baraboo, WI) • Alta (Balzac, AB) • Genex (Shawano, WI) • New Generation Genetics (Fort Atkinson, WI) • Select Sires (Plain City, OH) • Semex Alliance (Guelph, ON) • Taurus-Service (Mehoopany, PA)