Archiver > GENEALOGY-DNA > 2010-03 > 1269979308

From: (John Chandler)
Subject: Re: [DNA] Questions about alternate means of searching DNA Genealogy
Date: Tue, 30 Mar 2010 16:07:53 -0400
References: <><> <000001cacfe2$817a39b0$846ead10$@com>
In-Reply-To: <000001cacfe2$817a39b0$846ead10$@com>(

I wrote

"The Y chromosome is passed on as a whole, and it could well be the same 1%
of the male population that has all three of those rare alleles together."

Sandy replied:
> Really? I suppose it's possible, but I'd say it's highly unlikely. Perhaps
> you can offer an example?

Nothing could be simpler. This is what's called variously "population
structure" or "linkage disequilibrium". Looking at the other side,
let's consider the CODIS markers, all on different chromosomes. The
inheritance of each marker is independent, and so a man with
(heterozygous) rare alleles on two different markers would have
children split into four groups of roughly equal size: (1) with just
rare allele "A", (2) with just rare allele "B", (3) with both rare
alleles, and (4) with neither. (All this assuming his wife doesn't
also have either "A" or "B".) The rare alleles don't stick together.
The distributions of alleles therefore quickly approaches a state of
equilibrium, where no correlation can be found between the frequencies
of different alleles, provided that there is substantial interbreeding
of subpopulations.

For the Y chromosome, none of that happens. First of all, rare
alleles on the Y tend to die out (and daughter out) because there is
only one copy, and half of the children don't get any. Second, a man
with rare alleles on two Y markers will have sons who all have the
same two rare alleles. No mixing, no equilibration. If his line is
reproductively successful over the years, that will make those alleles
slightly less rare and therefore less likely to disappear altogether.
Similarly, an additional mutation to a rare allele on a third marker
in his lineage is likely to either die out or burgeon to the point
where it becomes a major fraction of the still-rare lineage. Genetic
drift is a big factor in small populations because they are small and
therefore have little "inertia".

John Chandler

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