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Table 1 Average effects of paternal and maternal alleles at a QTL with imprinting

From: Genomic best linear unbiased prediction method including imprinting effects for genomic evaluation

Gamete type

Allele

Values and frequencies of genotypes produced

Mean value of genotypes produced

Average allele effect

A 1 A 1

A 1 A 2

A 2 A 1

A 2 A 2

  
  

a

δ+ε

δ-ε

-a

  

Sire

A 1

1-q

q

  

(1-q)a + q(δ+ε)

q{a + (2q-1)δ+ε} = qα m

 

A 2

  

1-q

q

-qa + (1-q)(δ-ε)

-(1-q){a + (2q-1)δ+ε} = -(1-q)α m

Dam

A 1

1-q

 

q

 

(1-q)a + q(δ-ε)

q{a + (2q-1)δ-ε} = qα f

 

A 2

 

1-q

 

q

-qa + (1-q)(δ+ε)

-(1-q){a + (2q-1)δ-ε} = -(1-q)α f

  1. α m  = a + (2q - 1)δ + ε; α f  = a + (2q - 1)δ − ε; a = genotypic value of A 1 A 1; δ = mean of two heterozygotes; ε = difference between two heterozygotes; q = frequency of allele A 2.