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Lecture 3: A Brief Overview of Molecular Phylogeny - MCD Biology

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C. This can be estimated (from Poisson counting statistics) for any position as “Knuc,” the average extent <strong>of</strong><br />

sequence change at any position in two homologous seqs:<br />

Knuc = -3/4[ln(1-[4/3]D)<br />

where D=fractional difference in compared seqs.<br />

1. For instance, between human and E.coli SSU rRNAs you count 50% difference (= on average 0.5<br />

changes/nt). The “real” extent is calculated from the expression as:<br />

Knuc=-3/4[ln(1-[4/3]D) = -3/4ln(1-2/3) = -3/4ln 0.33 = 0.825<br />

So, the “correction” distance is more than half-again the changes you count!<br />

2. ”Evolutionary distance” (Knuc) is the calculated number <strong>of</strong> changes, not the number you count. Knuc is<br />

non-linear with depth in the tree, so the deeper in the tree, the greater the uncertainty:

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