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Table 6 Optimization of the genetic contribution when minimizing the migrant contribution with restricted kinship and/or mean estimated breeding values

From: Novel optimum contribution selection methods accounting for conflicting objectives in breeding programs for livestock breeds with historical migration

Scenarioa

Parameterb

\( {\mathbf{f}}_{{\mathbf{A}}} \)

\( {\mathbf{f}}_{{\mathbf{B}}} \)

\( {\mathbf{f}}_{{\mathbf{C}}} \)

\( {\mathbf{f}}_{{\mathbf{D}}} \)

MCc

EBV

Selectedd

SD of \( {\mathbf{c}}_{{\mathbf{s}}} \) e

Angler

 REF

0.022

0.926

0.527

0.049

0.722

0.211

 TS

0.031

0.939

0.565

0.067

0.722

1.184

0.065

0

 minMC.A

0.030

0.827

0.345

0.083

0.570

−0.289

0.106

0.012

 minMC.A.EBV

0.030

0.866

0.404

0.084

0.622

0.516

0.091

0.012

 minMC.A.B.EBV

0.030

0.866

0.404

0.084

0.622

0.516

0.091

0.012

 minMC.A.C.EBV

0.030

0.866

0.404

0.084

0.622

0.516

0.091

0.012

 minMC.A.D.EBV

0.020

0.903

0.472

0.046

0.683

0.516

0.342

0.005

Vorderwald

 REF

0.030

0.852

0.380

0.072

0.605

0.287

 TS

0.043

0.882

0.432

0.093

0.645

1.161

0.106

0

 minMC.A

0.035

0.789

0.300

0.074

0.527

−0.111

0.276

0.011

 minMC.A.EBV

0.035

0.813

0.327

0.075

0.555

0.550

0.220

0.010

 minMC.A.B.EBV

0.035

0.813

0.327

0.075

0.555

0.550

0.220

0.010

 minMC.A.C.EBV

0.035

0.813

0.327

0.075

0.555

0.550

0.211

0.010

 minMC.A.D.EBV

0.031

0.825

0.342

0.067

0.571

0.550

0.317

0.008

  1. aThe name of each optimization scenario consists of a prefix indicating the objective function and a suffix indicating the constraint settings
  2. bThe parameter used as a constraint is marked in italic in the scenario. Bold italic values show that the actual value obtained does not reach the limit of the corresponding constraint in this scenario (value higher than the lower limit or lower than the upper limit)
  3. cObjective function
  4. dProportion of selected sires with non-zero genetic contributions; a \( {\text{c}}_{{{\text{s}}_{\text{i}} }} \) value lower than 0.00025 is treated as zero
  5. eStandard deviation of the genetic contributions of all male selection candidates