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    • TraitaTraining setbFixed effectscMean predictive ability (r)dSDeMinimumfMaximumg
      ShoulderAll familiesNo0.330.150.120.60
      Honeycrisp-derived families0.300.150.110.57
      Minneiska-derived families0.280.150.090.46
      All familiesYes0.330.150.100.62
      Honeycrisp-derived families0.310.150.090.58
      Minneiska-derived families0.350.180.080.48
      LenticelAll familiesNo0.340.100.230.53
      Honeycrisp-derived families0.300.110.110.47
      Minneiska-derived families0.350.100.260.46
      a Shoulder russet ratings and the dual lenticel russet ratings; b Three training sets were used: (1) all breeding germplasm minus untested family, (2) all 'Honeycrisp'-derived families minus untested family, and (3) all 'Minneiska'-derived families minus untested family; c Fixed effect model included two SNPs at the previously reported LG2 and LG6 shoulder russet QTLs[8] as fixed effects; d Correlation between observed and predicted values using Pearson correlation averaged across testing set families; e Standard deviation of r all runs for each trait-training-model set; f Minimum r within each trait-training-model set; g Maximum r within each trait-training-model set.

      Table 1. 

      Summary of genomewide prediction for shoulder and dual lenticel russet ratings.

    • Model – TraitaTesting setbCulling criteriaCull (n)Keep (n)Type A error (%)cType B error (%)d
      GS – ShoulderFull-sib familiesOver 2.046154826.010.2
      Over 2.524876115.010.8
      Over 3.01059067.111.5
      MAS – Shoulder< 2 LOW alleles46154828.29.7
      GS – LenticelOver 2.588512422.67.1
      Over 5.033167817.021.1
      Over 7.5139960.914.4
      GS – ShoulderSelectionsOver 2.08776
      Over 2.547116
      Over 3.017146
      MAS – Shoulder*< 2 LOW alleles5773
      GS – Lenticel
      Over 2.514914
      Over 5.063100
      Over 7.513150
      a Model comparison between genomewide selection (GS) with all markers as random effects using the all training set and marker-assisted selection (MAS); targeted traits were shoulder russet formation and lenticel russet formation; b Germplasm used in the testing set; Breeding = all 13 'Honeycrisp'- and 'Minneiska'-derived families were used as a testing family (n = 1,009); Selections = all advanced selections (n = 163), * Only 130 individuals were assessed for MAS due to unresolved QTL alleles; c Type 1 error defined as individuals that were culled based upon predicted values but would have been kept based upon observed values; d Type 2 error defined as individuals that were kept based upon predicted values but would have been culled based upon observed values.

      Table 2. 

      Comparison of culling using genomewide selection (GS) at different thresholds and marker-assisted (MAS) for shoulder russet and genomewide selection at different thresholds for lenticel russet formation.