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Table 2 Number of iterations needed to reach a difference (for each trait) between intermediate and true estimates of genetic effects (or Legendre polynomials) lower than 1%

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)

3200

\(4.432*10^{-3}\)

\(4.295*10^{-8}\)

\(1.134*10^{-5}\)

0.105

0.327

ssGBLUP (30)

3200

\(4.864*10^{-3}\)

\(3.162*10^{-8}\)

\(1.922*10^{-5}\)

0.181

0.444

ssSNPBLUP (10)

3200

\(2.724*10^{-3}\)

\(3.719*10^{-8}\)

\(1.871*10^{-5}\)

0.155

0.448

ssSNPBLUP (30)

3200

\(4.600*10^{-3}\)

\(5.168*10^{-8}\)

\(1.536*10^{-5}\)

0.172

0.412

KAR

ssGBLUP (10)

1800

\(8.745*10^{-4}\)

\(6.520*10^{-8}\)

\(5.535*10^{-6}\)

0.431

0.877

ssGBLUP (30)

1400

\(9.561*10^{-4}\)

\(7.483*10^{-7}\)

\(8.794*10^{-6}\)

1.163

2.372

ssSNPBLUP (10)

1900

\(8.180*10^{-4}\)

\(6.845*10^{-6}\)

\(4.194*10^{-6}\)

0.444

0.905

ssSNPBLUP (30)

1500

\(8.181*10^{-4}\)

\(4.504*10^{-6}\)

\(6.830*10^{-6}\)

0.802

1.636

LON

ssGBLUP (10)

5200

\(9.709*10^{-5}\)

\(1.590*10^{-9}\)

\(6.699*10^{-8}\)

0.006

0.023

ssSNPBLUP (10)

5600

\(1.126*10^{-4}\)

\(6.966*10^{-7}\)

\(5.583*10^{-8}\)

0.006

0.025

LON + block

ssGBLUP (10)

1600

\(4.178*10^{-5}\)

\(1.868*10^{-8}\)

\(5.976*10^{-7}\)

0.010

0.039

ssGBLUP (30)

1800

\(5.085*10^{-5}\)

\(5.054*10^{-9}\)

\(5.041*10^{-7}\)

0.011

0.042

ssSNPBLUP (10)

2000

\(6.559*10^{-5}\)

\(4.742*10^{-6}\)

\(7.822*10^{-7}\)

0.021

0.083

ssSNPBLUP (30)

2100

\(5.314*10^{-5}\)

\(1.372*10^{-6}\)

\(4.656*10^{-7}\)

0.013

0.052

  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