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Table 1 Rate of true genetic gain realised by POCS, GOCS, and IOCS at \(0.01\varvec{ }{\Delta F}_{{\text{true}}}\) in three breeding schemes with three predictions methods (PBLUP, GBLUP, and TBV)

From: Pedigree relationships to control inbreeding in optimum-contribution selection realise more genetic gain than genomic relationships

Prediction

Scheme

OCS

\({\Delta \text{G}}_{\text{true}}\)

\({\Delta \text{G}}_{\text{scaled}}\)

\({\Delta \text{F}}_{\text{pedigree}}\)

\({\Delta \text{F}}_{\text{genomic}}\)

PBLUP

M25L5

POCS

0.379

100.0

0.0098

 
  

GOCS

0.317

83.6

 

0.0071

  

IOCS

0.356

93.9

  
 

M25L20

POCS

0.570

100.0

0.0094

 
  

GOCS

0.429

75.3

 

0.0061

  

IOCS

0.544

95.4

  
 

M100L5

POCS

0.554

100.0

0.0094

 
  

GOCS

0.485

87.5

 

0.0080

  

IOCS

0.534

96.4

  

GBLUP

M25L5

POCS

0.398

100.0

0.0088

 
  

GOCS

0.390

98.0

 

0.0099

  

IOCS

0.409

102.8

  
 

M25L20

POCS

0.703

100.0

0.0074

 
  

GOCS

0.665

94.6

 

0.0117

  

IOCS

0.720

102.4

  
 

M100L5

POCS

0.658

100.0

0.0076

 
  

GOCS

0.648

98.5

 

0.0127

  

IOCS

0.670

101.8

  

TBV

M25L5

POCS

0.773

100.0

0.0090

 
  

GOCS

0.762

98.6

 

0.0101

  

IOCS

0.782

101.2

  
 

M25L20

POCS

1.149

100.0

0.0079

 
  

GOCS

1.143

99.5

 

0.0131

  

IOCS

1.162

101.1

  
 

M100L5

POCS

0.999

100.0

0.0080

 
  

GOCS

0.996

99.7

 

0.0124

  

IOCS

1.012

101.3

  
  1. Rates of absolute and scaled true genetic gain (\({\Delta \text{G}}_{\text{true}}\) and \({\Delta \text{G}}_{\text{scaled}}\)), rates of pedigree inbreeding (\({\Delta \text{F}}_{\text{pedigree}}\)) realised by POCS, and rates of genomic inbreeding (\({\Delta \text{F}}_{\text{genomic}}\)) realised by GOCS are means of 200 simulation replicates. \({\Delta \text{G}}_{\text{scaled}}\) was calculated by setting \({\Delta \text{G}}_{\text{true}}\) realised by POCS to 100 in each combination of breeding scheme and prediction method. SD between the replicates ranged from 0.00114 to 0.00256 (\({\Delta \text{F}}_{\text{true}}\)), 0.0288 to 0.0559 (\({\Delta \text{G}}_{\text{true}}\)), 2.51 to 14.45 (\({\Delta \text{G}}_{\text{scaled}}\)), 0.00743 to 0.00979 (\({\Delta \text{F}}_{\text{pedigree}}\)), and 0.00153 to 0.00270 (\({\Delta \text{F}}_{\text{genomic}}\))