Reliability of pedigree-based and genomic evaluations in selected populations

Table 4 Prediction error variance (PEV) reliabilities^a based on different measures of additive genetic variance^b (V _A), reliability of selection^a, and equilibrium reliabilities^a (%) of different types of estimates of breeding values (EBV)^c by scenario in generations 20 and 21

Reliability	EBV_P,20	EBV_P,21	EBV_P _&Y,20,f	EBV_P _&Y,20,m	EBV_M _&Y,20	EBV_M,21
Random selection
PEV
σ ²_A = σ ²_A,0	35₁	36₁	42₁	79₁	86₁	71₁
σ ²_A = σ ²_A,0 − Δσ ²_α,t,inb	27₁	27₁	35₁	76₁	84₁	67₁
σ ²_A = σ ²_A,t	23₁	28₁	31₆	75₁	83₂	67₄
Reliability of selection	25₇	29₆	32₆	75₂	84₂	70₃
BLUP selection
PEV
σ ²_A = σ ²_A,0	39₁	39₁	45₁	79₁	87₁	75₁
σ ²_A = σ ²_A,0 − Δσ ²_α,t,sel	36₁	36₁	43₁	78₁	87₁	74₁
σ ²_A = σ ²_A,0 − Δσ ²_α,t,inb	27₁	27₁	35₁	75₁	85₁	70₁
σ ²_A = σ ²_A,0 − Δσ ²_GD,t	22₄	24₄	30₄	74₁	84₁	69₂
σ ²_A = σ ²_A,0 − Δσ ²_α,t − Δσ ²_GD,t	−5₉	−4₈	7₈	65₃	78₂	58₃
σ ²_A = σ ²_A,t	−4₅	−4₇	7₄	65₂	78₁	58₃
Reliability of selection	3₃	3₂	13₃	67₁	80₁	63₃
Equilibrium	3₁	3₁	13₁	67₁	79₁	62₁

^aAverage and standard error (as subscript)
^b σ ²_A,0 = base additive genetic variance; Δσ ²_α,t,inb = change in additive genic variance due to inbreeding from base to generation t (5); Δσ ²_α,t,sel = change in additive genic variance due to selection from base to generation t (6); Δσ ²_α,t = Δσ ²_α,t,inb + Δσ ²_α,t,sel = change in additive genic variance due to inbreeding and selection from base to generation t (7); Δσ ²_GD,t = change in additive genetic variance due to the Bulmer effect (8); σ ²_A,t = additive genetic variance in generation t
^cEBV_P = estimates of breeding value based on pedigree information; EBV_P _&Y = estimates of breeding value based on pedigree and phenotype information; EBV_M = estimates of breeding value based on marker information; EBV_M _&Y = estimates of breeding value based on marker and phenotype information; other subscripts denote generation (20 and 21) and a group of males (m) or females (f)

ISSN: 1297-9686