Re: Defection Rates and Classes (was Parody of Science)

Tim Rhodes (proftim@speakeasy.org)
Wed, 18 Aug 1999 01:56:45 -0700

From: "Tim Rhodes" <proftim@speakeasy.org>
To: <memetics@mmu.ac.uk>
Subject: Re: Defection Rates and Classes (was Parody of Science)
Date: Wed, 18 Aug 1999 01:56:45 -0700

Derek wrote:

>But, what if we introduce D-down? Say, at only 0.1%

[snip]

>Almost indistinguishable in terms of the overall class proportions and
>distribution. It is however, very different in terms of the genetic
>prospects of a single individual in the professional class. That
individual
>has an average of 1.6 children. However, some of those 1.6 children may
>slip down into the worker class, and have a raised reproductive rate. So
>that individual may have a larger average number of grandchildren than the
>2.56 which he/she would have without any D-down permitted.
>
>So, off the top of my head....
>
>the average number of descendents of a person in prof. class at gen.1, at
>cycle 2 is
>
>[2*Rp]squared + (2*Rp * D-down * Rw) = 2.5696
>
>ie. the number of descendents expected by reproduction in the professional
>class plus the number of descendents in the workers.
>
>Subsequently it may not be so simple, as some of the descendents who
migrate
>downwards will themselves have descendents who migrate back up, and who
then
>may have descendents who migrate back down etc..., so it may be recursive.

That's kind of what I expected. With just a small amount of movement up and
down the gene pools can become so muddied that it becomes hard to talk about
one group or the other as a part of a specific genetic class.

And this result might be seen by some as case of the memes' selfishness
overcoming -- or at least displacing -- that of the genes.

-Tim

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