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echo: evolution
to: All
from: John Edser
date: 2004-08-05 06:37:00
subject: What Is c Within Hamilton

The Mad Hatter's Tea Party continues...

> > > > > Note that John Edser wrote:
> > > > > Within Hamilton's rule the two fitnesses
> > > > > being compared are inclusive fitness
> > > > > (rb) and Darwinian fitness implied as
> > > > > as just the cost (c).

> > > > NAS:-
> > > > This is wrong. Conventionally, inclusive fitness is r b -
> > > > c, not r b.

JE:-
Then "Hamiltonian fitness" is not
"inclusive fitness". Please provide
the fitness label that you now argue
denoted one rb fitness total
within Hamilton's rule.

Any relative fitness is a comparison.
Any subtraction is just a comparison.
What was being compared is what was being
subtracted. What was being subtracted
here, is c from rb. ERGO: rb and c were
the ASSUMED fitness TOTALS being compared
within the rule were rb (the HAMILTONIAN total)
commonly referred to as "inclusive fitness"
and c, the cost of b. This c cost is the
total cost IN DARWINIAN FITNESS to the
actor. NOTE: all these values are just
variables. Not a single constant exists
within the rule.


> > > JM:-
> > > This is also wrong.  At least as Hamilton defined inclusive fitness in
> > > 1964.  He defined it as something like (K + rb - c), where K would be
> > > the fitness that an organism would have if all social
> > > interactions were
> > > excluded (and the costs of those interactions).

JE:-
The above constitutes Hamilton's fumble.
This failed attempt to include an explicit
absolute fitness general term within his rule
so that the rule could make biological sense
proved fatal.

When the absolute fitness of the actor
is explicitly included within the rule
then:

		rb > K

	where:

 K = Darwinian fitness of the actor.

 This is not an ESS (evolutionary stable
 strategy) because the actor becomes
 sterile like. However, only this ONE case proves
 organism fitness altruism within nature.
 All cases of Hamilton's rule without K
 remain ambiguous because the rule cannot distinguish
 between a reduced donation and an investment.
 This being the case the rule without K remains
 _biologically_ meaningless even if the _maths_
 is valid.

>snip<

Regards,

John Edser
Independent Researcher

PO Box 266
Church Pt
NSW 2105
Australia

edser{at}tpg.com.au
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