We wanted to systematically measure how evenly the heritability is distributed, the level of polygenicity. To this end, we calculated the heritability per physical length (%/Mb) for each segment and the variance of this quantity over all segments. Let \(V_t\) be this variance for trait t. \[ \begin{align} ρ_t=-log(V_t) \end{align} \]
For each segment length, we calculated \(ρ_t\) for all 497 traits. To emphasize the relative difference of \(ρ_t\) among different traits, we define the scaled \(ρ_t\) as follows:
\[\begin{align}δ_t=(ρ_t-ρ_{min})/(ρ_{max}-ρ_{min})\end{align}\] where \(ρ_{min}\) is the minimum of \(ρ_t\) and \(ρ_{max}\) is the maximum of \(ρ_t\) among traits. Through our analysis, we used \(δ_t\).
Continuous trait only
Binary trait only