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Technical note: Automatic scaling in single-step genomic BLUP.

M Bermann1, D Lourenco1, I Misztal1

  • 1Department of Animal and Dairy Science, University of Georgia, Athens, 30602.

Journal of Dairy Science
|December 14, 2020
PubMed
Summary
This summary is machine-generated.

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Single-step genomic BLUP (ssGBLUP) requires compatible relationship matrices for accurate predictions. Automatic scaling methods were evaluated, showing that while generally effective, they can introduce bias, particularly when the mean is a fixed effect.

Area of Science:

  • Animal Breeding and Genetics
  • Quantitative Genetics
  • Genomic Prediction

Background:

  • Single-step genomic best linear unbiased prediction (ssGBLUP) integrates genomic and pedigree data for enhanced prediction accuracy.
  • Compatibility between genomic and pedigree relationship matrices is crucial for unbiased predictions in ssGBLUP.
  • Current methods for ensuring compatibility, like scaling the genomic relationship matrix, can increase computational burden.

Purpose of the Study:

  • To evaluate an 'automatic' scaling method for ssGBLUP using Quaas-Pollak transformation.
  • To compare the bias, accuracy, and dispersion of automatic scaling against traditional scaling and no scaling methods.
  • To investigate the impact of different allele frequency calculations on scaling effectiveness.

Main Methods:

Keywords:
compatibility between genomic matricesgenomic selectionscaling

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  • Implemented automatic scaling in ssGBLUP by transforming the inverse of the combined relationship matrix (H).
  • Utilized a simulated dataset with genomic relationship matrices computed using realized, equal, or base population allele frequencies.
  • Assessed prediction performance by calculating bias, accuracy, and dispersion of genomic estimated breeding values (GEBV) against true breeding values (TBV).

Main Results:

  • Unscaled predictions showed significant bias (0.58–0.86), while scaling by averages reduced bias substantially (0.03–0.08).
  • Automatic scaling resulted in moderate bias (0.18) irrespective of allele frequencies.
  • Accuracies were similar across scaling methods, but unscaled predictions were less accurate. GEBV inflation was reduced by both scaling methods.

Conclusions:

  • Automatic scaling offers a computationally efficient alternative but can introduce bias, especially when the mean breeding value is a fixed effect.
  • Scaling by averages or treating the mean as random yields less biased predictions compared to automatic scaling.
  • The choice of scaling method impacts prediction bias in ssGBLUP, with implications for genomic evaluation accuracy.