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# Table 2 Annual genetic gain in the breeding population (\(\Delta B_t\)) and passive population (\(\Delta P_t\)) as well as genetic lag (\(D_t\)) and time lag (*T*) between sub-populations in honeybees

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
| \(\frac{3}{p+q}\) | \(\frac{6}{p+2q-pq}-\frac{5p}{p+2q-pq}\cdot \frac{S_1}{S_1+S_2}\) |