Text 104, 214 rader
Skriven 2004-09-19 06:23:00 av John Edser (1:278/230)
Ärende: Re: Kin altruism
========================




"Malcolm" <malcolm@55bank.freeserve.co.uk> wrote:-

> > EG:-
> > But does this argument really hold? As I see it, kin selection suffers
> > from the same weakness as does group selection. For what will happen
> > when all the indivduals in the group are kin altruists? This group
> > will also be genetically unstable! If, in this group, a gene for
> > egoism appears in a single individual, (after a mutation, say) this
> > individual will benefit from the altruism of its kin (who didn't get
> > the egoism gene), and save the cost of acting altruistically agaist
> > its kin. This individual will then get more offspring (with the egoism
> > gene) than its kin altruist kin and other (kin altruist) members of
> > the group. The egoism gene will therefore, in the long run, outcompete
> > the kin altruism gene, ust as it outcompeted the pure altruism gene in
> > the previous scenario!
> > Or have I overlooked something?

> M:-
> Yes. The alleles must be "identical by descent". This isn't a good phrase
> since all similar stretches of DNA, barring enormous accidents,
> must derive
> ultimately from the same ancestral piece. What it means is that the
> coefficient of relatedness is calculated through the common
> ancestor, not by
> comparing sequence homology. Otherwise I would be motivated to lose 40% of
> my resources to save an octopus, which is absurd.

JE:-
M has correctly pointed out one of the
most common misunderstandings of
Hamilton et al, (uncorrected) logic.
Ongoing discussion re: the evolution of
organism fitness altruism (OFA)
has been heatedly debated in sbe for
over 4 years. I refer readers to recent
exchanges.

Hamilton's rule is like an iceberg.
The vast majority of the fitness
that is required to be measured to prove
organism fitness altruism remains hidden
underwater.

M's argument is
based on Hamilton's rule:

	rb>c

where:

r = relatedness (measured as a probability IBD)
b = resources moved (in fitness units)
c = cost of b (in the same fitness units)

The rule can only measure a relative
fitness difference between c and rb where
no absolute fitness is included. Thus the
altruist may sustain a relative loss
while making an absolute gain. In this
case Hamilton's rule would mistakenly measure
"altruism" when the act was exactly the
opposite: mutualistic.


Hamilton's uncorrected rule remains
hopelessly incomplete because it cannot measure
the difference between a donation or an investment
by the actor (the supposed altruist) without the
total fitness of the actor actually included
within the rule as a general term. What most
people do not understand is that rb and c,
which are compared by simple subtraction:

	rb-c>0

are not subtracted DIRECTLY they are only
subtracted INDIRECTLY via a  missing baseline
fitness m, that has been included on BOTH sides
of the inequality allowing this baseline
(the water line of the iceberg) to become
deleted, mathematically.

Example:
Thus if r=0.5, c=2 and b = 1 then:

 	0.5*2 - 1 > 0
	        1 > 0
so the rule measures OFA for the actor
in this case.

If m=10 and you add m to both sides:

	10 + 1 > 10
	    11 > 10

So again, OFA is measured for the actor.

Mathematically nothing has changed but
BIOLOGICALLY it HAS. This is because only
now has 100% of the actor's fitness become
visible instead of remaining invisible
(below the iceberg's water line).

Clearly, in the instance above,
only 10% of the potential total fitness
is involved in the supposed altruistic
donation as a cost c and not 100%, i.e.
the top of the iceberg is 10% with 90%
hidden below water. Unless 100% is involved
Hamilton et al cannot prove
that b was just an altruistic donation
since b may have been an investment by
the actor (the exact opposite of a donation!)

Definitions:

Donation: a cost c paid for b that
returns less than c to the actor.

Investment: a cost c paid for
b that returns more than c
to the actor.

If the total fitness of the actor = K
then OFA is only proven within Hamilton's
rule when:

	rb > K

Here K = cmax (the maximum possible cost
that any actor could possibly pay). In
this case the actor will become sterile
-like, i.e. it would be able to reproduce
normally but would not do so.
This situation remains the ONLY case using
Hamilton's rule where 100% of the hidden baseline
fitness m becomes visible and active within the
rule, i.e. the only case where absolutely nothing
remains hidden because Hamilton's enormous
fitness ice burg has towed to shore so nothing
remains hidden under the water line.

Clearly, m cannot be > K and c+m = K if
Hamilton's fitness books are to be balanced
(one complete iceberg accounted for).
If c+m < K then some fitness has not been
accounted for via the rule and if c+m>K then
fitness has been added from nowhere that has
not been accounted for via the rule. One
iceberg has to be accounted for not just the
bit of it floating above the fitness waterline
to measure when OFA can or cannot evolve.

Since:

	K = c+m

And for OFA to be proven:

	rb > K

Substituting (c+m) for K:


	rb > c+m

	rb-c > m

The terms rb-c represent Hamilton's
defined inclusive fitness measure.

In Hamilton's rule inclusive fitness
must be larger than zero and not m for
OFA  to be measured for any actor. This
means, Hamilton's rule remains in
error by the amount m when it is attempting
to measure a difference between an altruistic
donation and a mutualistic investment.
This error is enormous because it represents
most of Hamilton's fitness iceberg!

Hamilton's rule remains hopelessly incomplete
and cannot do what it has been employed to
do for over 50 years: measure when OFA
can evolve. Yet, the Neo Darwinistic
establishment remains recalcitrant, consistently
misusing Hamilton's rule to measure when OFA
can evolve, against all reason. I can only
conclude that political bias i.e. running this
misuse. The only other explanation is downright
stupidity.

My regards to all,

John Edser
Independent Researcher

PO Box 266
Church Pt
NSW 2105
Australia

edser@tpg.com.au
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