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Table 3 Optimization of the genetic contributions when minimizing kinship \( \varvec{f}_{\varvec{B}} \) with a restriction on migrant contribution 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

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

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

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

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

MC

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

 minfB.A

0.030

0.827

0.345

0.082

0.570

−0.295

0.106

0.012

 minfB.A.MC

0.030

0.827

0.345

0.082

0.570

−0.295

0.111

0.012

 minfB.A.MC.EBV

0.030

0.866

0.404

0.083

0.623

0.516

0.081

0.012

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

 minfB.A

0.035

0.789

0.300

0.074

0.528

−0.111

0.260

0.011

 minfB.A.MC

0.035

0.789

0.300

0.074

0.528

−0.111

0.260

0.011

 minfB.A.MC.EBV

0.035

0.813

0.327

0.075

0.555

0.550

0.228

0.010

  1. aThe name of each optimization scenario consists of a prefix that indicates the objective function and a suffix that indicates the constraint settings
  2. bThe parameter used as a constraint is marked in italics in the scenario. Bold italic values indicate that the actual value obtained does not reach the limit of the corresponding constraint (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
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Genetics Selection Evolution

ISSN: 1297-9686