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Table 1 Simulated epistatic model for two-locus interactions

From: The long-term effects of genomic selection: 1. Response to selection, additive genetic variance, and genetic architecture

Genotype locus B Genotype locus C
CC Cc cc
BB \(e_{00} = \mu + a_{B} + a_{C} + k\) \(e_{01} = \mu + a_{B} + d_{C} + m\) \(e_{02} = \mu + a_{B} - a_{C} - k\)
Bb \(e_{10} = \mu + d_{B} + a_{C} + l\) \(e_{11} = \mu + d_{B} + d_{C} + n\) \(e_{12} = \mu + d_{B} - a_{C} - l\)
bb \(e_{20} = \mu - a_{B} + a_{C} - k\) \(e_{21} = \mu - a_{B} + d_{C} - m\) \(e_{22} = \mu - a_{B} - a_{C} + k\)
  1. First, nine epistatic effects (\(e_{00}\) to \(e_{22}\)) were simulated randomly, by sampling for each effect an epistatic degree (\(\varepsilon\)) from a normal distribution and scaling them by the additive effects of the two loci (i.e. \(e_{00} = \varepsilon_{00} \sqrt {\left| {a_{B} a_{C} } \right|}\)). Then, those nine epistatic effects were used to estimate the separate functional additive (\(a_{B}\) and \(a_{C}\)), dominance (\(d_{B}\) and \(d_{C}\)), additive-by-additive (\(k\)), additive-by-dominance (\(l\) and \(m\)) and dominance-by-dominance (\(n\)) epistatic effects that were underlying those epistatic effects