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Fig. 4 | Genetics Selection Evolution

Fig. 4

From: Analysis of the causal structure of traits involved in sow lactation feed efficiency

Fig. 4

Additive genetic association between daily sow weight balance (dSWB) and daily back fat thickness balance (dBFTB). a Total (\({\upsigma }^{*}\)) and direct additive (\(\upsigma \)) genetic association and b indirect additive genetic association. \(\text{Component} \,1: \left({\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLFI}}\times {\upsigma }_{\mathrm{a},\mathrm{dLFI}}^{2}+{\upsigma }_{\mathrm{a},\mathrm{dLFI},\mathrm{dSWB}}+{\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLWG}}\times {\upsigma }_{\mathrm{a},\mathrm{dLFI},\mathrm{dLWG}}\right)\times {\uplambda }_{\mathrm{dBFTB}\leftarrow \mathrm{dSWB}}\times {\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLFI}},\) \(\text{Component}\,2:\left({\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLFI}}\times {\upsigma }_{\mathrm{a},\mathrm{dLFI},\mathrm{dSWB}}+{\upsigma }_{\mathrm{a},\mathrm{dSWB}}^{2}+{\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLWG}}\times {\upsigma }_{\mathrm{a},\mathrm{dSWB},\mathrm{dLWG}}\right)\times {\uplambda }_{\mathrm{dBFTB}\leftarrow \mathrm{dSWB}},\) \(\text{Component}\,3:\left({\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLFI}}\times {\upsigma }_{\mathrm{a},\mathrm{dLFI},\mathrm{dLWG}}+{\upsigma }_{\mathrm{a},\mathrm{dSWB},\mathrm{dLWG}}+{\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLWG}}\times {\upsigma }_{\mathrm{a},\mathrm{dLWG}}^{2}\right)\times {\uplambda }_{\mathrm{dBFTB}\leftarrow \mathrm{dSWB}}\times {\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLWG}},\)\(\text{Component}\,4:{\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLFI}}\times {\upsigma }_{\mathrm{a},\mathrm{dLFI},\mathrm{dBFTB}},\)\(\text{Component}\,5:{\uplambda }_{\mathrm{dSWB}\leftarrow \mathrm{dLWG}}\times {\upsigma }_{\mathrm{a},\mathrm{dLWG},\mathrm{dBFTB}}\)

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