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echo: evolution
to: All
from: Perplexed In Peoria
date: 2004-07-02 16:57:00
subject: Re: Kin Selection contrad

"Paul Gallagher"  wrote in message
news:cbumki$1qte$1{at}darwin.ediacara.org...
> In  Guy Hoelzer
 writes:

> I saw an interesting paper showing how kin selection can be modeled
> mathematically with Price's Theorem in terms of group selection.
> ... But I can't remember the titles -- can
> anybody help?

There have been many.  If you're the kind of person who wants
original sources, you want
  Selfish and Spiteful Behavior in an Evolutionary Model
  W. D. Hamilton, Nature 228, 1218-20 (1970)
But also see what Hamilton says about this paper in retrospect
in Chapters 5, 6, and 8 of Narrow Roads.  And follow the paper's
reference to Price's paper in Nature.

My favorite paper on the topic is a big one:
  "A geometric view of relatedness", Alan Grafen, 1985
  http://users.ox.ac.uk/~grafen/cv/oseb.pdf

Also good is:
  "The Price Equation, Fisher's fundamental theorem, kin selection, and
  causal analysis", Steve Frank, 1997
  http://stevefrank.org/reprints-choice/97Evol-Causal-R.html

> I also recall a paper by Maynard-Smith showing how to model kin selection
> in terms of individual selection.

I also would be interested in seeing a reference for that paper.

> As to level at which selection is _really_ occuring, I liked Sean Rice's essay,
> http://pantheon.yale.edu/~sean/group.html

I liked it less well.  See my reply to Edser on the thread
"Hamilton's Rule: light at the end of a LONG tunnel?"  Also, notice
what Frank and Grafen say about the dynamic insufficiency of
Price's equation.  This means that a group selection interpretation
of kin selection needs to make some auxiliary assumptions about
the breeding structure, so as to restore the variance within groups
that gets discharged by selection.  It is difficult to do so in a
way that also maintains the variance between groups.
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