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Summary

Correlation of gametes due to inbreeding within subpopulations ($F_{is}$): 0.1372
Correlation of gametes within subpopulations ($F_{st}$): 0.2143
Correlation of gametes in sample ($F_{it}$): 0.3221

Why do I refer to them as the ``correlation of gametes $\dots$''? There are two reasons:

  1. That's the way Wright always referred to and interpreted them.

  2. We can define indicator variables $x_{ijk} = 1$ if the $i$th allele in the $jth$ individual of population $k$ is $A_1$ and $x_{ijk} = 0$ if that allele is not $A_1$. This may seem like a strange thing to do, but the Weir and Cockerham approach to $F$-statistics described below uses just such an approach. If we do this, then the definitions for $F_{is}$, $F_{st}$, and $F_{it}$ follow directly.4

Notice that, in principle, both $F_{is}$ and $F_{st}$ could be negative, i.e., there could be an excess of heterozygotes within populations ($F_{is} < 0$) or alleles drawn randomly from within a population might be less similar to one another than those drawn from different populations ($F_{st} < 0$).


next up previous
Next: Statistical expectation and biased Up: An example from Isotoma Previous: An example from Isotoma
Kent Holsinger 2008-08-18