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Table 3 Number of iterations needed to reach a Pearson correlation (for each trait) between intermediate and true estimates of genetic effects (or Legendre polynomials) greater than 0.99990

From: Convergence behavior of single-step GBLUP and SNPBLUP for different termination criteria

Evaluation

Model\(^{\text{a}}\)

# Iterations\(^{\text{b}}\)

\(e_{r}\) \(^{\text{c}}\)

CR

CD

CK

CM

FIN

ssGBLUP (10)

2700

\(9.547*10^{-3}\)

\(1.623*10^{-7}\)

\(4.237*10^{-5}\)

0.241

0.749

ssGBLUP (30)

2600

\(1.282*10^{-2}\)

\(7.813*10^{-8}\)

\(3.195*10^{-5}\)

0.327

0.802

ssSNPBLUP (10)

2500

\(9.372*10^{-3}\)

\(1.274*10^{-7}\)

\(5.587*10^{-5}\)

0.530

1.533

ssSNPBLUP (30)

2700

\(1.069*10^{-2}\)

\(2.117*10^{-7}\)

\(4.144*10^{-5}\)

0.335

0.805

KAR

ssGBLUP (10)

1100

\(3.460*10^{-3}\)

\(3.293*10^{-7}\)

\(3.967*10^{-5}\)

2.595

5.284

ssGBLUP (30)

1100

\(3.675*10^{-3}\)

\(1.063*10^{-6}\)

\(2.904*10^{-5}\)

4.096

8.354

ssSNPBLUP (10)

1100

\(4.115*10^{-3}\)

\(1.851*10^{-5}\)

\(1.683*10^{-5}\)

2.737

5.572

ssSNPBLUP (30)

1100

\(4.039*10^{-3}\)

\(1.135*10^{-5}\)

\(2.435*10^{-5}\)

4.189

8.544

LON

ssGBLUP (10)

3900

\(1.607*10^{-4}\)

\(1.540*10^{-8}\)

\(6.789*10^{-7}\)

0.060

0.235

ssSNPBLUP (10)

4100

\(1.974*10^{-4}\)

\(1.849*10^{-6}\)

\(5.344*10^{-7}\)

0.069

0.267

LON + block

ssGBLUP (10)

1300

\(1.476*10^{-4}\)

\(2.273*10^{-8}\)

\(2.121*10^{-6}\)

0.040

0.154

ssGBLUP (30)

1500

\(1.177*10^{-4}\)

\(1.987*10^{-8}\)

\(2.003*10^{-6}\)

0.043

0.165

ssSNPBLUP (10)

1600

\(1.393*10^{-4}\)

\(1.549*10^{-5}\)

\(2.839*10^{-6}\)

0.073

0.282

ssSNPBLUP (30)

1800

\(9.499*10^{-5}\)

\(5.961*10^{-6}\)

\(1.352*10^{-6}\)

0.039

0.153

  1. Values of termination criteria corresponding to the number of iterations are reported
  2. \(^{\text{a}}\)Percentage of variance (due to additive genetic effects) explained by residual polygenic effects
  3. \(^{\text{b}}\)The solutions were stored and evaluated every 100-th iteration
  4. \(^{\text{c}}\) \(e_{r}\) = relative errors in the solutions