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| subject: | Re: Random Genetic Drift |
joe{at}removethispart.gs.washington.edu wrote
> [McGinn]
> >> >Genetic drift is nothing but a more complex and, therefore, more
> >> >conceptually intractable version of the gambler's fallacy.
> >> >
> >> >You could also do search in google using: Gambler's fallacy
> >> >
> >> >It seems there are two types of gambler's fallacy, as described
> >> >on the following webpage:
> >> >
> >> >http://www.nizkor.org/features/fallacies/gamblers-fallacy.html
> >> >
> >> >I think the one associated with genetic drift is the second of
> >> >the two on this page.
> >>
> [me]
> >> I went there and saw a page on the common fallacious belief that
> >> having got some heads, tails are "due". This has
nothing whatsoever
> >> to do with genetic drift calculations,
>
> [McGinn]
> >I agree. But this wasn't the issue I raised. I suggest reading my
> >post again.
>
> [me]
> > which do not commit this
> >> fallacy. They use binomial distributions in the ordinary,
correct, way.
>
> [McGinn]
> >Not the issue. Read it again.
>
> OK, so I read again. The relevant passages from McGinn's post are
> cited above. He clearly says that thinking in terms of genetic drift
> is a fallacy, the second of the two ways that one can commit the Gambler's
> Fallacy.
Right.
> The description on that web page is:
>
> "The second involves cases whose probabilities of occuring are not
> independent of one another. For example, suppose that a boxer has won 50%
> of his fights over the past two years. Suppose that after several fights
> he has won 50% of his matches this year, that he his lost his last six
> fights and he has six left. If a person believed that he would win his
> next six fights because he has used up his losses and is
"due" for a
> victory, then he would have committed the Gambler's Fallacy. After all,
> the person would be ignoring the fact that the results of one match can
> influence the results of the next one. For example, the boxer might have
> been injured in one match which would lower his chances of winning his
> last six fights."
>
> I can only conclude that McGinn believes that people who do genetic
> drift calculations are thinking fallaciously because the genetic
> segregation, birth, and death events are not independent.
If after performing such calculations they came to the
conclusion that their results indicated the existence
of a form of causation distinct from natural selection
then yes, you would be correct to conclude that I
believe such thinking is fallacious.
> Without getting into the issue of whether events in the universe are really
> random,
If you are unwilling to confront this issue then it
is unlikely that you will ever escape the psychological,
gravitational pull of the gambler's fallacy.
> it is very apparent that these birth, death, and segregation events
> are closely enough modeled by random occurrences that this is a highly
> useful description.
I'm not disputing it's usefulness. (This is not the
issue.) Likewise if you were a bookie taking bets on
one of the fights of the above mentioned boxer I would
not dispute your claim that employing statistics of
past fights was useful.
> It really doesn't matter whether the genetic drift is
> a function of our not knowing the exact state of the universe, or whether
> it somehow is a consequence of quantum mechanical randomness.
>
> McGinn has presented no argument that using binomial (coint tossing) type
> probability arguments is a poor description of genetic drift. One can infer
> from the evidence above that he thinks that the outcomes of the
"tosses"
> are not independent. If they are positively related (as in the boxer case
> above that he cites) then even more gene frequency change will occur than
> imagined by genetic drift calculations.
>
> It is mysterious why McGinn thinks that this is true enough to lead to a
> noticeable departure from genetic drift calculations. He has declared that
> a fallacy is being committed, but he has given no evidence.
You provided the evidence.
>
> Note that we're not discussing whether genetic drift "is causal",
Well, I won't pretend to speak for you, but this was
the subject I was discussing. (Uh, so. What about it,
Joe? Do you still maintain that genetic drift is causal?
[For what it's worth, I'm under no illusion that I will
actually get an answer to this question. Not now.
Not ever.])
> but just
> whether it describes in a useable way what's going on, what to expect to
> happen to the gene frequencies.
Jim
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