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| subject: | Re: (Part2) Kin Selection |
joe{at}removethispart.gs.washington.edu wrote
> > What, exactly, is it you supposedly worked out? Why not
> > show us your work? Why not make your thinking explicit?
>
> OK. So first we define a situation and then pause to see if
> McGinn is willing to accept it. A simple model case, not a general
> case -- the interest is to see whether Hamilton's result emerges, or
> whether some totally different rule is correct.
>
> We have
> 1. An infinite population
> 2. Diploid
> 3. One sex (hermaphrodites)
> 4. Random mating
> 5. Discrete generations
> 6. Each organism, once in its life, engages in a social
> interaction where there are two roles: "Donor" and
"Recipient"
> 7. In this interaction there either is or is not an altruistic
> behavior that occurs
> 8. If it does not occur, both individuals have fitness 1
> 9. If it does, Donor has fitness 1-c, Recipient has fitness 1+b
> 10. After the interaction the individuals wander off and mate
> randomly (i.e. not necessarily with that partner)
> 11. The probability that the behavior occurs is a function of the
> genotype of the Donor, but not that of the Recipient.
> 12. There is a locus with two alleles, A and a. A is rare.
> This locus is one (in our model case the only one) whose
> genotype affects the probability that the Donor engages in the
> behavior.
>
> Now we need to hear from McGinn whether by assuming this situation we
> are OK, so that he is willing to hear about the algebra that results.
Situation?
I read your points, 1 thru 12 above, and found them
unacceptable. If you want to discuss why I found
them unacceptable I guess we could approach that on
a point by point basis. But, to be honest, I'm
wondering why you need (or think you need) special
considerations in order to make your case?
Jim
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