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Lev A. Zhivotovsky (1999) [Takezaki, N. 96]

Consider two populations, X an Y and r autosomal microsatellite loci. \( \overline{\mu _{X}} \) and \( \overline{\mu _{Y}} \)are the mean of \( \mu _{X_{j}} \)and \( \mu _{Y_{j}} \)averall loci for population X and Y respectively.


\begin{displaymath}
D_{R}=-\log \left( \frac{C_{XY}}{V_{XY}}\right) \end{displaymath}

with,

\( C_{XY}=\frac{1}{r-1}\left( \sum ^{r}_{j}\mu _{X_{j}}\mu _{Y_{j}}-r\overline{\mu _{X}}\overline{\mu _{Y}}\right) \) and \( V_{XY}=\frac{1}{2}\left( V_{X}+V_{Y}\right) \), where \( V_{X}=\frac{1}{r-1}\left( \sum ^{r}_{j}\mu _{X_{j}}^{2}-r\overline{\mu _{X}}^{2}\right) \), \( V_{Y}=\frac{1}{r-1}\left( \sum ^{r}_{j}\mu _{Y_{j}}^{2}-r\overline{\mu _{Y}}^{2}\right) \)

Attention, to avoid software crash, when \( C_{XY}<1 \), \( C_{XY} \) is set to 1.



Olivier Langella 2002-03-20