From Schonman (2013):
...allele A can only invade under Hamilton’s condition R=$F_{ST}$ > C/B.
From Harpending (2002):
The best general definition of the coefficient of relation $R_{XY}$ between individuals X and Y is (Bulmer, 1994) $R_{XY}$ = $F_{XY}$/$F_{XX}$, where $F_{XY}$ is the kinship between X and Y and $F_{XX}$ is the kinship of X with himself [..]
[..] $F_{ST}$ is just the coefficient of kinship between members of the same deme [..]
[..] $F_{Self} = \frac{(1 + F_{ST})}{2}$ [..]
This means, unless I am mistaken, that if I take Harpending's equation and substitute $F_{ST}$ for $F_{XY}$ and substitute 1/2(1+$F_{ST}$) for $F_{XX}$, I can calculate within-deme relatedness: 2*$F_{ST}$/(1+$F_{ST}$).
Yet Schonman says R=$F_{ST}$?
What am I doing wrong here?
$F_{ST}$
). Here is a tutorial for formatting math equations. $\endgroup$FST is just the coefficient of kinship between members of the same deme
sounds wrong to me because $F_{ST}$ depends upon the genetic diversity in the total population but it might be hard to give an opinion on an out-of-context quotation (I have not read the paper). Also, I am not used to work with he coefficient of relatedness (or of kinship; to me these two concepts are the same but I might be mistaken) and might gets a bit lost here. $\endgroup$