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echo: evolution
to: All
from: William Morse
date: 2003-12-23 20:25:00
subject: Re: 12 Days of Hamilton`s

Dear Perplexed


jamenegay{at}ra.rockwell.com (Jim Menegay) wrote in
news:brm67b$4l5$1{at}darwin.ediacara.org: 

> William Morse  wrote in message
> news:... 
>> jamenegay{at}ra.rockwell.com (Jim Menegay) wrote in
>> news:brj3n0$2718$1{at}darwin.ediacara.org: 



> I am sure that the root of my problem lies in the kinds of phenomena
> you suggest, but I remain perplexed.  For example, I have a fourth
> cousin who is my fourth cousin by two different lines.  He has twice
> as many of my genes as my other fourth cousins, and I fully intend
> to give his daughters twice as much money as the other children of
> fourth cousins.  I don't yet see what has been gained when a single 
> person assumes two roles in my tree.  

Unfortunately I deleted your original post, so I am now trying to 
reconstruct your three problems (cf. other follow in the ng). You would 
seem to be correct when going forward in time, that having one person 
assume two roles doesn't help. It does help when going backward in time, 
as the two roles represent one instance of the gene (and I got it 
backward in my follow). But on further reflection I don't see your 
problem with the forward going application. If I am recreating this 
correctly, you are saying that you have one copy of the gene, your 
sibling has (on average) 1/2 copy of the gene, your four cousins have a 
total of 1/2 copy of the gene, your 16 second cousins have a total of 1/2 
copy of the gene, etc. But  you have two total genes at this locus, as 
does your sibling, as does _each one_ of your four cousins ( a total of 
eight genes, of which only on average 1/2 is IBD to yours), as does _each 
one_ of your 16 second cousins. So in each iteration out your IBD gene 
becomes a successively smaller proportion of the total genes available at 
this locus. Where did I go wrong in this logic?

Yours,

Bill Morse
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