OLS branch length estimates

 The ordinary least squares estimate of a branch length (b) is given by

images\olsbranchlenest_d1.gif

where dij is the pairwise distance between sequences i and j. The coefficients wij’s depend on whether the branch under consideration is internal or external.

Coefficients wij’s for an internal branch

images\olsbranchlenest_d2.gif

where, mA, mB, mC, and mC are the numbers of sequences in clusters A, B, C, and D, respectively.

 

Coefficients wij’s for an external branch

images\olsbranchlenest_d3.gif

where, mA and mB are the numbers of sequences in clusters A and B.