From: A theoretical derivation of response to selection with and without controlled mating in honeybees
 | Uncontrolled mating | Controlled mating |
---|---|---|
\(\Delta B_t\) | \(\frac{p+q}{3+3q}\cdot S_1\) | \(\frac{S_1+S_2}{5}\) |
\(\Delta P_t\) | \(\frac{p+q}{3+3q}\cdot S_1\) | \(\frac{S_1+S_2}{5}\) |
\(D_t\) | \(\frac{S_1}{1+q}\) | \(\frac{6}{p+2q-pq}\cdot \frac{S_1+S_2}{5}-\frac{p}{p+2q-pq}\cdot S_1\) |
T | \(\frac{3}{p+q}\) | \(\frac{6}{p+2q-pq}-\frac{5p}{p+2q-pq}\cdot \frac{S_1}{S_1+S_2}\) |