Predictive performances of animal models using different multibreed relationship matrices in systems with rotational crossbreeding

Poulsen, Bjarke Grove; Ostersen, Tage; Nielsen, Bjarne; Christensen, Ole Fredslund

doi:10.1186/s12711-022-00714-w

Genetics Selection Evolution

Table 3 Median level bias across replicates

From: Predictive performances of animal models using different multibreed relationship matrices in systems with rotational crossbreeding

Population \(\times\) method	y\(_{A}\)	y\(_{AD}\)
Population \(\times\) method	y\(_{A}\)	Purebred	F1	Rotation
Population A (Purebred)
GT	−0.02 (0.08)\(^{\mathrm{a}}\)	0.29 (0.09)\(^{\mathrm{a}}\)	−0.03 (0.08)\(^{\mathrm{a}}\)	0.12 (0.08)\(^{\mathrm{a}}\)
MF	−0.02 (0.08)\(^{\mathrm{a}}\)	0.28 (0.09)\(^{\mathrm{a}}\)	−0.03 (0.08)\(^{\mathrm{a}}\)	0.12 (0.08)\(^{\mathrm{a}}\)
NRM	−0.01 (0.08)\(^{\mathrm{a}}\)	0.29 (0.10)\(^{\mathrm{a}}\)	−0.04 (0.09)\(^{\mathrm{a}}\)	0.12 (0.09)\(^{\mathrm{a}}\)
SM	−0.03 (0.08)\(^{\mathrm{a}}\)	0.28 (0.09)\(^{\mathrm{a}}\)	−0.03 (0.09)\(^{\mathrm{a}}\)	0.11 (0.09)\(^{\mathrm{a}}\)
ssGT	−0.01 (0.07)\(^{\mathrm{a}}\)	0.28(0.07)\(^{\mathrm{a}}\)	−0.01 (0.07)\(^{\mathrm{a}}\)	0.13 (0.07)\(^{\mathrm{a}}\)
ssMF	−0.01 (0.08)\(^{\mathrm{a}}\)	0.28 (0.07)\(^{\mathrm{a}}\)	−0.04 (0.07)\(^{\mathrm{a}}\)	0.13 (0.08)\(^{\mathrm{a}}\)
ssNRM	0.00 (0.08)\(^{\mathrm{a}}\)	0.29 (0.08)\(^{\mathrm{a}}\)	−0.02 (0.09)\(^{\mathrm{a}}\)	0.14 (0.09)\(^{\mathrm{a}}\)
ssSM	0.00 (0.07)\(^{\mathrm{a}}\)	0.29 (0.08)\(^{\mathrm{a}}\)	−0.03 (0.08)\(^{\mathrm{a}}\)	0.13(0.08)\(^{\mathrm{a}}\)
Population B (Purebred)
GT	0.00 (0.07)\(^{\mathrm{a}}\)	0.28 (0.09)\(^{\mathrm{a}}\)	−0.03 (0.08)\(^{\mathrm{a}}\)	0.04 (0.07)\(^{\mathrm{a}}\)
MF	0.00 (0.07)\(^{\mathrm{a}}\)	0.28 (0.10)\(^{\mathrm{a}}\)	−0.02 (0.08)\(^{\mathrm{a}}\)	0.04 (0.07)\(^{\mathrm{a}}\)
NRM	0.01 (0.08)\(^{\mathrm{a}}\)	0.28 (0.10)\(^{\mathrm{a}}\)	0.03 (0.09)\(^{\mathrm{a}}\)	0.05 (0.08)\(^{\mathrm{a}}\)
SM	0.01 (0.07)\(^{\mathrm{a}}\)	0.29 (0.08)\(^{\mathrm{a}}\)	−0.03 (0.08)\(^{\mathrm{a}}\)	0.04 (0.07)\(^{\mathrm{a}}\)
ssGT	−0.01 (0.06)\(^{\mathrm{a}}\)	0.28 (0.08)\(^{\mathrm{a}}\)	−0.03 (0.07)\(^{\mathrm{a}}\)	0.04 (0.06)\(^{\mathrm{a}}\)
ssMF	0.01 (0.06)\(^{\mathrm{a}}\)	0.28 (0.08)\(^{\mathrm{a}}\)	−0.01 (0.07)\(^{\mathrm{a}}\)	0.05 (0.07)\(^{\mathrm{a}}\)
ssNRM	0.01 (0.07)\(^{\mathrm{a}}\)	0.28 (0.08)\(^{\mathrm{a}}\)	−0.02 (0.08)\(^{\mathrm{a}}\)	0.04 (0.08)\(^{\mathrm{a}}\)
ssSM	0.01 (0.06)\(^{\mathrm{a}}\)	0.28 (0.08)\(^{\mathrm{a}}\)	−0.02 (0.07)\(^{\mathrm{a}}\)	0.04 (0.07)\(^{\mathrm{a}}\)
Population C (Crossbred)
GT	0.00 (0.05)\(^{\mathrm{a}}\)			0.20 (0.07)\(^{\mathrm{a}}\)
MF	0.00 (0.06)\(^{\mathrm{a}}\)			0.20 (0.07)\(^{\mathrm{a}}\)
NRM	0.00 (0.06)\(^{\mathrm{a}}\)			0.19 (0.07)\(^{\mathrm{a}}\)
SM	0.00 (0.06)\(^{\mathrm{a}}\)			0.20 (0.06)\(^{\mathrm{a}}\)
ssGT	0.00 (0.06)\(^{\mathrm{a}}\)			0.20 (0.07)\(^{\mathrm{a}}\)
ssMF	0.00 (0.06)\(^{\mathrm{a}}\)			0.20 (0.07)\(^{\mathrm{a}}\)
ssNRM	0.00 (0.06)\(^{\mathrm{a}}\)			0.21 (0.06)\(^{\mathrm{a}}\)
ssSM	0.00 (0.06)\(^{\mathrm{a}}\)			0.20 (0.06)\(^{\mathrm{a}}\)

Median absolute deviations from medians are in parentheses
Level Bias: Difference between change in predicted and true breeding values relative to in the base population
Bold: Medians in bold differ significantly from zero
Superscripts: Different superscripts denote that medians are significantly different
Superscripts are comparable within combinations of Population and column
ss-prefix: Relationship matrices include genomic information
y\(_{A}\): A phenotype with additive genetic effects
y\(_{AD}\): A phenotype with both additive and dominant genetic effects
Purebred: True breeding value is for production of purebred animals
F1: True breeding value is for production of F1-animals
Rotation: True breeding value is for mating with rotationally crossbred animals

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ISSN: 1297-9686

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