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Table 2 Breed \(\mathcal {A}\) specific partial relationship matrix \(\mathbf {A}^{\mathcal {A}}\) for the pedigree in Table 1

From: Genetic evaluation for three-way crossbreeding

id

1

2

5

6

7

8

1

1

0

\(\frac{1}{2}\)

\(\frac{1}{4}\)

\(\frac{1}{8}\)

\(\frac{1}{8}\)

2

 

1

\(\frac{1}{2}\)

\(\frac{1}{4}\)

\(\frac{1}{8}\)

\(\frac{1}{8}\)

5

  

1

\(\frac{1}{2}\)

\(\frac{1}{4}\)

\(\frac{1}{4}\)

6

   

\(\frac{1}{2}\)

\(\frac{1}{4}\)

\(\frac{1}{4}\)

7

    

\(\frac{1}{4}\)

\(\frac{1}{8}\)

8

     

\(\frac{1}{4}\)