Table 4 General Combining Abilities (GCA) where α_{t} = the average effect of the allele substitution (A for a) and β_{t} is the parameter for the interaction between two alleles. Breeding Value 1 is the practical one that applies to the next generation whereas Breeding Value 2 is the theoretical one for an equilibrium population
Genotype | GCA | Breeding Value 1 | Breeding Value 2 |
---|---|---|---|
AAAA | 2qα_{t} – 2q^{2}β_{t} | 4qα_{t} – 4q^{2}β_{t} | 4qα_{t} |
AAAa | ½(3q–p)α_{t} + q(p–q)β_{t} | (3q–p)α_{t} + 2q(p–q)β_{t} | (3q–p)α_{t} |
AAaa | ½(2q–2p)α_{t} – ½(\(\frac23\)–4pq)β_{t} | (2q–2p)α_{t} – (\(\frac23\)–4pq)β_{t} | (2q–2p)α_{t} |
Aaaa | ½(q–3p)α_{t} + p(q–p)β_{t} | (q–3p)α_{t} + 2p(q–p)β_{t} | (q–3p)α_{t} |
aaaa | –2pα_{t} – 2p^{2}β_{t} | –4pα_{t} – 4p^{2}β_{t} | –4pα_{t} |