3.1 popultaion genetics for GRM

3.1.1 Unrelated GRM - \(m_e\)

\[ m_e=1/\text{var}(\text{GRM}_{\text{offdiag}}) \]

3.1.2 Sib GRM - genome length (Morgan)

The genome length measured in Morgan can be put in the following:

\[ m_{e.\text{IBS}}=\text{var}(\text{GRM}_{\text{sib}})=\frac{1}{16} \]

We can depict the distribution of IBS across all families and calculate the \(\frac{1}{\text{var}(\text{GRM}_{\text{sib}})}\)

3.1.3 Brothers, Sisiters, Bro-Sis pairs, Bro pairs + Sis pairs

We can separate the families based on the gender and depict the distribution of IBS across the whole genome:

Moreover, we can calculate different $$