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echo: evolution
to: All
from: Anon.
date: 2004-07-16 17:27:00
subject: Re: Hamilton`s Rule: lig

John Edser wrote:
> "Anon."  wrote:-
> 
> 
>>>>>JE:-
>>>>>Hamilton requires the number of organism recipients
>>>>>to be >1 unless a single recipient clone is being supposed
>>>>>related r = 1.
>>>>
> 
>>>>BOH:-
>>>>This is actually not true: Hamilton's rule can still
predict altruism if
>>>>b is large enough.
>>>
> 
>>>JE:-
>>>You have disagreed that:
>>>"Hamilton requires the number of organism recipients
>>>to be >1 unless a single recipient clone is being supposed
>>>related r = 1."  Thus you argue that just one recipient
>>>can provide an inclusive fitness > 1! Please explain
>>>how such a event is possible within Hamilton's
>>>stated logic?
>>
> 
>>BOH:-
>>If b is greater than 1, as I stated.
> 
> 
> JE:-
> The above constitutes evasion. We are
> _not_ talking about the size of the supposed
> donated b largess we are talking about the
> number of recipients that _need_ to receive
> it for the altruistic gene to just relatively
> spread when compared to the wildtype gene. 

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.


>>>AGAIN: Hamilton's value b was mostly
>>>donated to > 1 Darwinian selectees.
>>
> 
>>BOH:-
>>Has this ever been stated?  If so, where?
> 
> 
> JE:-
> See above. 

Sorry, I meant stated in the scientific literature.


> AGAIN:
> "Do you agree that such a
> size is only significant when
> it is a part of a _non_ random
> pattern? "
> 
> Please answer the question.
> 
Answering this will get me into an epistemiological minefield, as you'll 
insist on using your interpretation of random patterns, and random 
processes, an interpretation I do not share.  I'd rather avoid a long 
(and no doubt fruitless) discussion of epistemology.  And this is even 
before I ask what you mean precisely by "significant".

Bob

-- 
Bob O'Hara

Dept. of Mathematics and Statistics
P.O. Box 68 (Gustaf H„llstr”min katu 2b)
FIN-00014 University of Helsinki
Finland

Telephone: +358-9-191 51479
Mobile: +358 50 599 0540
Fax:  +358-9-191 51400
WWW:  http://www.RNI.Helsinki.FI/~boh/
Journal of Negative Results - EEB: http://www.jnr-eeb.org
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