> >>BOH:-
> >>But this depends on the size of b. If b (or,
> >>to be more precise, rb) is
> >>large enough, then altruism towards a
> >>single individual will evolve.

> > JE:-
> > It does not matter how large b is.
> > My point was, only one condition exists
> > within Hamilton's rule that is not
> > classically group selective: when just
> > one recipient receives all b largess
> > from the actor. This one recipient cannot
> > be related > r=1, i.e. just a single
> > recipient has to be a clone of the actor
> > to avoid group selection within Hamilton's
> > rule.


> BOH:-
> Some simple maths:
> Hamilton's condition is rb>c.
> Let r = 1, and assume that hamilton's condition is true, so we have b1 > c
> Now let r=1/2, and find what value of b will make Hamilton's condition
> true.  This is clearly b2 > c/r, or b2 > 2c, which is true if b2 = 2 b1.
> Hence, b can vary to make Hamilton's rule true for different values of
> r, and so if Hamiton's rule can hold for a single recipient when r=1, it
> can also hold for r<1.

JE:-
The original discussion was not about
when "altruism towards a single individual
will evolve" only using a relative
fitness standard (that does not allow
such an event to be measured via the
rule as Dr O'Hara has confirmed)
it only concerned the proposition
that only a single non group
selective event existed within the
rule. This was when all of b (no matter
how large or how small b becomes) is
donated to just a single recipient.

Does Dr O'Hara agree or disagree
that all cases of Hamilton's rule
where > 1 recipients receive b
largess from just one actor are
classically group selective irrespective
of the size of the b donation?

Regards,

John Edser
Independent Researcher

PO Box 266
Church Pt
NSW 105
Australia

edser{at}tpg.com.au
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