Calculation of heterosis and recombination loss
In this post, I demonstrate the calculation of heterosis and recombination loss coefficients using an example pedigree. Heterosis (hybrid vigor) and recombination loss are critical concepts in animal and plant breeding, particularly in crossbreeding systems. Heterosis is the favourable gene effect in crossbred offspring, calculated as $$ h_{AB}^k = p_A^s p_B^d + p_B^s p_A^d, $$ where $h_{AB}^k$ is the heterosis coefficient of progeny k for the A and B breed combination, $p_A^s$ is the breed A proportion in sire s (the sire of k), and $p_B^d$ is the breed B proportion in dam d (the dam of k). $p_B^s$ and $p_A^d$ are self-explanatory. ...