9.13 Calculating PBS
PBS is based on calculating \(\textrm{F}_{ST}\) for each pairwise comparison of the three populations. We then calculate the branch length (\(\mathbf{T}\)) that separates each population pair:
\[ T = -\mathrm{log}(1 - \textrm{F}_{ST}) \]
PBS is then computed as:
\[ \textrm{PBS} = \frac{\textrm{T}_{AB} + \textrm{T}_{AC} - \textrm{T}_{BC}}{2} \]