pianoforte611 comments on [LINK] Why I'm not on the Rationalist Masterlist - Less Wrong Discussion
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If you did that then after one or two generations, regression to the mean would set the average IQ right back to where it was (almost). If you eliminated enough of the left tail over several generations to actually change the average to a stable higher value, then the right tail would be extended.
Like I said I'm not commenting on the effect of the Holocaust because I don't know anything about it.
If UberHitler kills everyone with IQ<100, that raises the average IQ without increasing the number of people with high IQ. After a few generations, you are back to a Gaussian with a smaller variance (you lost some genetic diversity) and a slightly larger mean, which means that at some IQ level that is sufficiently high you have fewer people with that IQ .
I am not following how killing people who do poorly on a test does not evoke the evolution demon, eventually.
The average increased, that's your evolution. If you let many generations pass, for the mutations to happen and genetic diversity to restore, you will get the variance back as well.
Assuming random mating, you'll already get higher IQ kids in the next generation since people with exceptionally high IQ are more likely to mate.
The reversal test makes this sound a bit strange:
If you have a population with an average IQ of 100 and you add in an equal number of people with an IQ of 80 then after a generation, you will have a Gaussian with a larger variance. Hence there will be more geniuses due to more genetic variation.
Surely you don't believe that? I realize that this isn't a perfect reversal but that sounds very odd to me.
Anyway here is the crude model of intelligence that I working with - I admit I'm not an expert on this topic, and I have some reading up to do on the genetic basis of intelligence. Intelligence is a polygenetic trait that can be roughly (very roughly) modeled as a bunch of genetic sites with either a plus or minus alleles (keeping it simple with just 2 possibilities). The more plus alleles you have the more likely you are to have a high IQ (genes and intelligence aren't perfectly correlated). Populations with a higher average IQ have a higher concentration of plus alleles so the chance of receiving many of them is increased. But if you take away all of the people who due to bad luck received a very large number of minus alleles, you haven't altered the concentration of alleles in the gene pool that much - this is part of why regression to the mean occurs. But if you consistently select for people with a higher concentration of plus alleles, then the odds of any one child having a lot of plus alleles increases in the population. This is how artificial selection occurs in any trait that is polygenetic. Corn kernels are huge because the people who cultivated corn selected for the biggest corn kernels - yes there was a loss of genetic diversity and yes there was decrease in the variance, but that nevertheless what was observed were corn kernels that were bigger than any corn before.
It would happen in your model, if there is no perfect overlap between the set of sites in one population and the set of sites in the other population. With two populations, you have more sites. The smartest possible mega-genius is from the mixed population and has + alleles on each site; none of the original populations can have a genius this smart at all.
To see that on less extreme rarity (and approximately for a large number of alleles), write down the ratio of two Gaussians with different means and variances. Simplify. Observe that the ratio of the larger variance Gaussian to the smaller variance Gaussian gets arbitrarily high far from the mean.
Okay but that is an incredibly weak claim - I'm not interested in switching all of the plus alleles on because additivity starts to break down and having an IQ of say 500 isn't particularly meaningful. For any reasonable definition of genius, artificially selecting for the smartest members of a population (what super-Hitler is doing), will increase the number of them.
Assume total heritability, random mating, additive genetics, and a single 50% truncation event. In the first generation, the right tail becomes 4x larger as a proportion of the population, but it gets smaller in equilibrium. The new mean is 0.8 standard deviations above the old mean. The new standard deviation is 0.6 times the old one. When it reaches equilibrium and becomes a Gaussian with those parameters, the crossover where the old population had a thicker tail than the new is about two standard deviations. At three standard deviations, the new distribution is only 1/10 of the old distribution. But I don't know how much time it takes to get there.
Thank you, I'm pretty surprised by that result. Two questions: does assortive mating merely slow down that process? And is there any way to increase the both the average and the standard deviation?
You need new mutations to increase the standard deviation, that takes a lot of time and a big population size.
Also, having a genetic disorder applies larger selection pressure to the other genes.
If we are to think of some real 'eugenic' population bottleneck, such as WW2 related, the correlation between intelligence and survival is, frankly, shit, plus a lot of small, geographically co-located sub-populations where a bunch of beneficial genes have been slowly increasing in prevalence get completely wiped out, with loss of all copies of that gene.
Bottom line is, selective breeding of larger corn kernels works quickly because the nature hasn't been breeding for larger corn kernels to begin with, it has been breeding optimum kernel sizes, and to get large kernels you're just selecting genetic disorders. There's nothing that you can wreck about the brain that would turn you into a genius, there's a plenty of things you can wreck about growth that would make corn kernels big.
Or just some mutagens.
It seems to me that this would work much better for traits that can be accomplished through loss of function (e.g. larger corn kernels, through loss of function of regulator genes) than in general. At too high mutation rate, complex functionality can't be preserved.
One thing to keep in mind eugenics wise is that pretty much all the breeding methods we employ for other species are dysgenic - we are producing cripples to our own benefit or amusement. Damage this, damage that, select this bad gene, that bad gene, and you get yourself docile floppy eared dog with the IQ equivalent of severe mental retardation, compared to a wolf.
If you truncate less of the tail, it takes more generations to move the mean, but I believe that by the time it moves the same distance, the variance shrinks less.
If you have a randomly mating population, apply assortative mating for a few generations, apply one generation of selection, and let randomly mix, it costs less variance for the same mean as if you don't do assortative mating. That's because assortative mating is a kind of selection, so this is like several generations of selection. If you start and end with an equilibrium of assortative mating, I'm not sure what happens. Also, assortative mating increases the variance, so you have to distinguish between the variance of the population and the variance of the population that would result if you switched to random mating.
I made a weak claim (all sites) to make it easier for you to see how that works within your own additive model. Of course, you don't have to have plus alleles on all locations for a genius to be more common in the mixed population than in the original populations.
This would depend on the population sizes involved, number of locations, and overlap between locations.
What is the process by which you expect the mean to regress enough to leave you with a thinner upper tail than before UberHitler did his thing?