Do small families lead to higher IQ?

Okay, so this is just me thinking (and mathing) out loud. Suppose we have two different groups (A and B) of 100 people each (arbitrary number chosen for ease of dividing.) In Group A, people are lumped into 5 large “clans” of 20 people each. In Group B, people are lumped in 20 small clans of 5 people each.

Each society has an average IQ of 100–ten people with 80IQs, ten people with 120IQs, and eighty people with 100IQs. I assume that there is slight but not absolute assortative mating, so that most high-IQ and low-IQ people end up marrying someone average.

IQ pairings:

100/100    100/80    100/120    80/80    120/120 (IQ)

30                 9                9                 1               1            (couples)

Okay, so there should be thirty couples where both partners have 100IQs, nine 100/80IQ couples, nine 100/120IQ couples, one 80/80IQ couple, and one 120/120IQ couple.

If each couple has 2 kids, distributed thusly:

100/100=> 10% 80, 10% 120, and 80% 100

120/120=> 100% 120

80/80 => 100% 80

120/100=> 100% 110

80/100 => 100% 90

Then we’ll end up with eight 80IQ kids, eighteen 90IQ, forty-eight 100IQ, eighteen 110 IQ, and 8 120IQ.

So, under pretty much perfect and totally arbitrary conditions that probably only vaguely approximate how genetics actually works (also, we are ignoring the influence of random chance on the grounds that it is random and therefore evens out over the long-term,) our population approaches a normal bell-curved IQ distribution.

Third gen:

80/80  80/90  80/100  90/90  90/100  90/110  100/100  100/110  100/120  110/110  110/120  120/120

1             2            5             4            9             2              6                9               5              4             2             1

2 80         4 85      10 90      8 90     18 95      4 100       1,4,1       18 105     10 110        8 110       4 115        2 120

3 80, 4 85, 18 90, 18 95, 8 100, 18 105, 18 110, 4 115, and 3 120. For simplicity’s sake:

7 80IQ, 18 90IQ, 44 100IQ, 18 110IQ, and 7 120IQ.

Not bad for a very, very rough model that is trying to keep the math very simple so I can write it blog post window instead of paper, though clearly 6 children have gotten lost somewhere. (rounding error???)

Anyway, now let’s assume that we don’t have a 2-child policy in place, but that being smart (or dumb) does something to your reproductive chances.

In the simplest model, people with 80IQs have zero children, 90s have one child, 100s have 2 children, 110s have 3 children, and 120s have 4 children.

oh god but the couples are crossed so do I take the average or the top IQ? I guess I’ll take average.

Gen 2:

100/100    100/80    100/120    80/80    120/120 (IQ)

30                 9                9                 1               1            (couples)

60 kids        9 kids       27 kids       0              4 kids

6, 48, 6

So our new distribution is six 80IQ, nine 90IQ, forty-eight 100IQ, twenty-seven 110IQ, and ten 120IQ.

(checks math oh good it adds up to 100.)

We’re not going to run gen three, as obviously the trend will continue.

Let’s go back to our original clans. Society A has 5 clans of 20 people each; Society B has 20 clans of 5 people each.

With 10 high-IQ and 10 low-IQ people per society, each clan in A is likely to have 2 smart and 2 dumb people. Each clan in B, by contrast, is likely to have only 1 smart or 1 dumb person. For our model, each clan will be the reproductive unit rather than each couple, and we’ll take the average IQ of each clan.

Society A: 5 clans with average of 100 IQ => social stasis.

Society B: 20 clans, 10 with average of 96, 10 with average of 106. Not a big difference, but if the 106s have even just a few more children over the generations than the 96s, they will gradually increase as a % of the population.

Of course, over the generations, a few of our 5-person clans will get two smart people (average IQ 108), a dumb and a smart (average 100), and two dumb (92.) The 108 clans will do very well for themselves, and the 92 clans will do very badly.

Speculative conclusions:

If society functions so that smart people have more offspring than dumb people (definitely not a given in the real world,) then: In society A, everyone benefits from the smart people, whose brains uplift their entire extended families (large clans.) This helps everyone, especially the least capable, who otherwise could not have provided for themselves. However, the average IQ in society A doesn’t move much, because you are likely to have equal numbers of dumb and smart people in each family, balancing each other out. In Society B, the smart people are still helping their families, but since their families are smaller, random chance dictates that they are less likely to have a dumb person in their families. The families with the misfortune to have a dumb member suffer and have fewer children as a result; the families with the good fortune to have a smart member benefit and have more children as a result. Society B has more suffering, but also evolves to have a higher average IQ. Society A has less suffering, but its IQ does not change. Obviously this a thought experiment and should not be taken as proof of anything about real world genetics. But my suspicion is that this is basically the mechanism behind the evolution of high-IQ in areas with long histories of nuclear, atomized families, and the mechanism suppressing IQ in areas with strongly tribal norms. (See HBD Chick for everything family structure related.)




Bi-modal brains?

But... the second equation makes perfect sense.
But… the second equation makes sense.

So I have this co-woker–we’ll call her Delta. (Certain details have been changed to protect the privacy of the innocent.) Delta is an obviously competent, skilled worker who has succeeded at her job in a somewhat technical field for many years. She has multiple non-humanities degrees or accredidations. And yet, she frequently says things that are mind-numbingly dumb and make me want to bang my head on my desk.

To be fair, everybody makes mistakes and says incorrect things sometimes; maybe she thinks the exact same thing about me. Also, I have no real perspective on how dumb people think, because I haven’t spent much of my life talking to them. Even the formerly homeless people I know can carry on a layman’s discussion of quantum physics.

At any rate, I don’t actually think Delta is dumb. Instead, I think she has, essentially, two brain modes: Feeling Mode and Logic Mode.

Feeling Mode happens to be her default; she can do Logic Mode perfectly well, but she has to concentrate to activate it. If Logic Mode isn’t on, then things just get automatically processed through Feelings Mode and, as a result, don’t always make sense.

When Logic Mode is on, she does quite fine–her career, after all, is dependent on her rational, logical abilities, above-average math skills, etc. But her job is just that, not a passion, not something she’d do if it didn’t put food on the table. When she is in default mode, her brain just doesn’t make logical connections, notice patterns (especially meta-patterns), or otherwise understand a lot of the stuff going on around her. And her inability to judge distances/estimate sizes just makes me cringe.

My conversation topics typically go over like lead balloons.

In a recent Stanford Magazine article, Content to Code? in which Marissa Messina discusses her decision to major in computer science:

BEFORE STANFORD, I’d never heard the term “CS.” When my pre-Orientation mates used it repeatedly during our technology-free week of hiking in Yosemite prior to the start of freshman year, I had to ask them what it stood for. But their matter-of-fact response—”computer science”—was still a foreign concept to me. …

“Nonetheless, I celebrate my decision to develop my technical side. Although it does not come naturally to me, in Bay Area culture, knowing how to code feels like a prerequisite to existing. …

“I quickly learned through get-to-know-you conversations that being a “techie” was inherently cooler than being a “fuzzie,” and that social standard plus rumors of superior job prospects for engineers began to make me question my plan to major in psychology.

“Three years later, here I am, close to graduating and capable of coding. Now what?

“I certainly don’t imagine myself thriving as a professional programmer, because thinking in syntactically flawless computer-speak remains a wearisome process for me. … “

How on Earth does anyone arrive at Stanford without knowing that computer science exists?

Messina illustrates my theory rather well. She can go into logic mode, she can write code well enough to major in CS at Stanford, but it does not come naturally to her and she finds it rather unpleasant. She is only doing it because, back in freshman year, someone said her job prospects would be better with a CS degree. Now she realizes that she doesn’t actually want to do CS for a full-time job.

I suspect that most people operate primarily in Feelings Mode, and may be even worse than my co-worker at activating Logic Mode. Some may not have an operative Logic Mode at all; a few people may not have a Feeling Mode, but that seems less common. Feelings are instinctual, irrational, and messy. They exist because they are useful, but that does not mean they make logical sense.

For example, let’s suppose an out-of-control train is racing toward a group of schoolchildren who’ve been tied to the railroad tracks, but if you push a 9-foot tall man in heavy plate mail in front of the train, his death will save the children.

People operating in Logic Mode start debating the virtues of Kant’s Categorical Imperative verses Mill’s Utilitarianism.

People operating in Feelings Mode want to know what kind of psycho came up with a fucked up question like that. Children tied to the train tracks? Murdering an innocent bystander by pushing him in front of the train? Why are you fuckers debating this? Are you all sick in the head?

When Feeling people switch over into Logic Mode, I suspect it exerts some cost on them: that is, they can do it, but they don’t really like it. It’s uncomfortable, unpleasant, and sometimes exhausting. So most of the time, they prefer to be in default mode.

So there are things that they can understand in Logic Mode, but since they find the whole business unpleasant, they prefer to ignore such conclusions if they possibly can. This probably makes it very difficult to get people to make any kind of decisions involving unpleasant scenarios + data. The unpleasantness itself of the scenario breaks them out of Logic Mode and into Feeling Mode, and then the whole business is flushed down the toilet because someone goes into a screaming fit because you hurt their feelings with your data.

Earlier this morning, I happened across this “Systematizing Quotient” Quiz that HBD Chick linked to. Obviously the quiz has certain drawbacks, like user bias and the difficulty of comparing oneself to others (do I know more or less about car engines than other people? I probably know less about them than most men, but since I can diagram how an engine works and explain it, do I know more than the average woman? Where do I fall on a population scale? And what if I wouldn’t research something before buying it because I already know all about it, or because I think the brands available on the market are similar enough that the time spent resourcing would not be cost-effective?) but I thought I’d try it, anyway.

I scored in the 61-80 range, which is not terribly surprising. What’s weird is just how low everyone else scores, since the averages are 24 and 30 for women and men, respectively, and it’s not like the scale goes down to -50 or anything.

At any rate, when Delta started talking about how much she hates the Common Core math, well, I was curious. I did some digging and came up with problems like the one at the top of the screen, generally accompanied by a bunch of comments from parents like, “What are they even doing?” and “I have no idea what that is!” and “That makes no sense!” And I just look at them all like, Wow, you can’t figure out that 5+2+10+10+10=37?

Sure, math is a recently evolved trait and all, but those sorts of comments still vaguely surprise me.

IQ probably intersects the two modes via a separate axis. That is, a high-IQ Feelings Person might be able to concentrate enough of their mental resources to out-math a low-IQ Logic person, and vice versa, a high-IQ Logic Person might be able to concentrate enough mental resources to out-feel a Feeling Person. (For example, by reading a book about what various facial expressions mean and then using that knowledge in real life.) Delta, for example, could probably figure out the problem after a while, but would still say it’s a terrible problem.

There was a conversation around here somewhere about a recent paper that came out claiming that the discrepancy between the number of men and women in high-end mathematics was due to not enough girls taking rigorous math courses in middle school. Well, I don’t know about the middle schools where the paper was published, but my middle school only had one math class, and we all took it, so I don’t think that’s exactly the problem. More likely, cognitive differences just happen to be manifesting themselves in Middle School, and the math geniuses are starting to outshine people who are smart and hard working but not geniuses.

In the conversation, someone remarked that while women (or in this case, girls,) they’ve known can do math perfectly well, they tend not to enjoy it, and prefer doing other things, whereas the men they know are more or less forced to do it because their brains just happen to automatically look for patterns. This was the original inspiration for this post; the idea that someone might be able to switch back and forth between two modes, but would generally prefer one, while someone else might generally prefer the other. I might call it “Logic Mode” and The Guardian might call it “Systematizing Mode”, but they’re both basically the same.

If this is true, most people may not operate in Feeling Mode, but most women do. On the other hand, it may be that only a small sub-set of men operate primarily in Logic Mode, either, but they happen to be a larger sub-set than the sub-set of women who operate primarily in Logic Mode. Since I don’t talk to most people (no one possibly could,) and my real-life conversations are largely limited to other women, I am curious about your personal observations.



Somali Autism

Approximately one in 88 children has been diagnosed with autism, but in Minnesota, one in 32 Somali children and one in 36 white children have the condition.

A recent study–the Minneapolis Somali Autism Spectrum Disorder Project–reviewed the diagnosis paperwork to make sure the autism diagnoses were accurate, and concluded that they are. They did not go interviewing kids in search of symptoms, just looked at the records of people who’d already been diagnosed.

According to the NY Times, “But the Somali children were less likely than the whites to be “high-functioning” and more likely to have I.Q.s below 70. (The average I.Q. score is 100.) The study offered no explanation of the statistics.”

Well that one seems obvious: average Somali IQ is probably below 70.

Supply your own map if you feel like it
Average IQ by Country, from Memolition

Also, “While some children back home had the same problems children everywhere do, parents said, autism was so unfamiliar that there was no Somali word for it until “otismo” was coined in Minnesota.”

You might think it’s just something in the Minneapolis water supply, but another study, this one from Sweden, found something similar:

Children of migrant parents were at increased risk of low-functioning autism (odds ratio (OR) = 1.5, 95% CI 1.3-1.7); this risk was highest when parents migrated from regions with a low human development index, and peaked when migration occurred around pregnancy (OR = 2.3, 95% CI 1.7-3.0). A decreased risk of high-functioning autism was observed in children of migrant parents, regardless of area of origin or timing of migration. … Environmental factors associated with migration may contribute to the development of autism presenting with comorbid intellectual disability, especially when acting in utero. High- and low-functioning autism may have partly different aetiologies, and should be studied separately.

So what’s up with white kids with autism? Did they get screwed by migration, too?

There is one thing that Minneapolis and Sweden do have in common: lack of sunlight. Somalis may be particularly at risk of Vitamin D deficit, or some other disorder caused by differences in the night-day cycle at different latitudes.

But again, whites have similar rates of autism despite having had thousands of years to adjust to high-latitude winters, while African Americans, who ought to be more similar to the Somalis in their winter/light adaptions, have much lower rates.

In fact, I can’t really think of anything that whites in Minnesota and Somalis in Minnesota might have in common that they wouldn’t also have in common with African Americans in Minnesota. Or Sweden.

The obvious solution is that Somali autism might just be caused by totally different stuff than white autism. Perhaps migration itself caused the high Somali autism rates, or the stress and trauma of war and dislocation. Or it could have something to do with the Somali preference for cousin marriage, but perhaps the autistic kids never got noticed back in Somalia because of high infant mortality rates.

The Recent Development of High European IQ

You know what’s kind of awesome? Understanding the economic development level of virtually every country on earth becomes much easier as soon as you realize the massive correlation between per capita and IQ–and it gets even better if you focus on verbal IQ or “smart fraction” vebal IQs:

Oh, there you are, correlation
Lifted gratefully from La Griffe du Lion‘s Smart Fraction II article
I do wonder why he made the graph so much bigger than the relevant part
Lifted gratefully from La Griffe du Lion‘s Smart Fraction II article

La Griffe du Lion has a lot of great articles explaining phenomena via math, so if you haven’t read them already, I strongly recommend that you do.

One wonders what this data would look like if we looked backwards, at per capita GDP in, say, the 15 to 1800s.

I really hope I can find a better graph
I really hope I can find a better graph (this one’s from Wikimedia)


Well, that's slightly better
Also from Wikimedia

According to the Guardian article about the paper British Economic Growth 1270-1870, “estimates that per capita income in England in the late middle ages was about $1,000 or £634 a year when compared with currency values in 1990.

“According to the World Bank, countries which had a per capita income of less than $1,000 last year included Ghana ($700), Cambodia ($650), Tanzania ($500), Ethiopia ($300) and Burundi ($150), while in India – one of the BRIC emerging economies – the gross income per capita stands only just above medieval levels at $1,180.”

Ah, here’s a decent graph:

I am so not digging the scale on this graph
From the Wikipedia page on India-EU relations

From the description of the graph:

“The %GDP of Western Europe in the chart is the region in Europe that includes the following modern countries – UK, France, Germany, Italy, Belgium, Switzerland, Denmark, Finland, Sweden, Norway, Netherlands, Portugal, Spain and other smaller states in the Western part of Europe.

The %GDP of Middle East in the chart is the region in West Asia and Northeast Africa that includes the following modern countries – Egypt, Israel, Palestinian Territories, Lebanon, Syria, Turkey, Jordan, Saudi Arabia, Qatar, Bahrain, Kuwait, UAE, Oman, Yemen, Iran, Iraq and other regions in the Arabian region.”

The problem with doing the graph this way is that it doesn’t control for population growth. Obviously the US expanded greatly in population between 1700 and 1950, crushing the rest of the world’s GDP by comparison, without anyone else necessarily getting any poorer. It would be nice if the graph included Africa, because I wonder how things like Mansa Musa’s gold mines would show up.

At any rate, here is my impression, which this graph basically seems to back up:

Around the time of the Romans, “Europe” and the Middle East had similar levels of development, integration into global economy, etc. The fall of the Roman Empire coincided with the Middle East pulling ahead in math, science, and nice-looking buildings.

Meanwhile, India and China were doing quite well for themselves, though it’s not clear from the graph how much of that is population. I would not be surprised to find similar numbers for per capita GDP at that time, though.

Then around 1000, Europe starts to improve while the Middle East falls behind and stays there. I suspect this is in part because cousin marriage became more common in the Middle East between 0 and 1000 while simultaneously becoming less common in Europe, and because the Middle East probably didn’t have much arable land left to expand into and so population couldn’t increase very much, whereas the Germans started their big eastward migration about then, (The Ostsiedlung–goodness, it took me a while to figure out how that’s spelled.) increasing the number of Europeans in our cohort and spurring growth.


One of my earlier theories was "I suspect Eastern Germany must was settled after western Germany, due to pesonalities," which turns out to be true
Click for the bigger version )

India, meanwhile, went downhill for a long time, for I have no idea why reasons. China was doing great until quite recently, when it apparently went capootie. Why? I don’t know, but I think part of the effect is just Europe (and the US) suddenly pulling ahead, making China look less significant by comparison.

So. Extrapolating backwards from what we know about the correlation between GDP and verbal IQ, I suspect Western Europe experienced a massive increase in IQ between 1000 and 1900.

A large chunk of this increase was probably driven by the German eastward expansion, a rather major migration you’ve probably never heard of. (As HBD Chick says, “from a sociobiological point-of-view, probably the most underappreciated event in recent western european history. that and the reconquest of spain.”) Another large chunk was probably driven by various cultural factors unique to manorialism and Christianity.

Windmills began popping up in Western Europe in the late 1100s (given that they seem to have started in France, England, and Flanders, rather than in areas geographically closer to the Middle East, it seems unlikely that the European windmills were inspired by earlier Middle Eastern windmills, but were instead a fairly independent invention.

Watermills were an earlier invention–the Classical Romans and Greeks had them. The Chinese and Middle Easterners had them, too, at that time. I don’t know how many mills they all had, but Europeans really took to them:

“At the time of the compilation of the Domesday Book (1086), there were 5,624 watermills in England alone, only 2% of which have not been located by modern archeological surveys. Later research estimates a less conservative number of 6,082, and it has been pointed out that this should be considered a minimum as the northern reaches of England were never properly recorded. In 1300, this number had risen to between 10,000 and 15,000. [Bold mine.]By the early 7th century, watermills were well established in Ireland, and began to spread from the former territory of the empire into the non-romanized parts of Germany a century later. Ship mills and tide mill were introduced in the 6th century.” (Wikipedia page on Watermills.)

In short, by the 1300s, Europe was well on its way toward industrialization.

IMO, these things combined to produce a land where the clever could get ahead and have more children than the non-clever, where those who could figure out a new use or more efficient milling design could profit.

Oh, look, here’s something relevant from HBD Chick, quoting Daniel Hannan’s article in the Telegraph:

“‘By 1200 Western Europe has a GDP per capita higher than most parts of the world, but (with two exceptions) by 1500 this number stops increasing. In both data sets the two exceptions are Netherlands and Great Britain. These North Sea economies experienced sustained GDP per capita growth for six straight centuries. The North Sea begins to diverge from the rest of Europe long before the “West” begins its more famous split from “the rest”. [W]e can pin point the beginning of this “little divergence” with greater detail. In 1348 Holland’s GDP per capita was $876. England’s was $777. In less than 60 years time Holland’s jumps to $1,245 and England’s to 1090. The North Sea’s revolutionary divergence started at this time.’

The result, I suspect, was an increase in average IQs of about 10 to 15 points–perhaps 20 points in specific sub-groups, eg Ashkenazi Jews–with an overall widening of the spread toward the top end.

The Good Side of Clannishness

So I was reading a conversation over at HBD Chick’s the other day about why some people take her work way too personally (and confrontationally,) even though it clearly isn’t meant that way, in which someone pointed out that even if she doesn’t exactly mean it that way, if you call people clannish or tribal, they’re bound to get offended, because nobody likes clannishness.

But wait, I thought. I know people who like clannishness.

This seems obvious when you consider that the majority of people who live in societies-that-are-more-clannish-than-mine probably like their societies and prefer their level of clannishness to my society’s level, otherwise they would take steps to change their society. Even if they might balk at the words like “clannish” or “tribal” (or the insinuation that their society has higher levels of in-breeding than some other society,) there are plenty of practical aspects of clannishness that some people actually like.

In the clannish society, you can depend on your extended kin network to always have your back. Clannish societies are generally very friendly–compare the outgoing friendliness of southern Italians to the more reserved-natured Germans. People with strong kin networks are born with a supply of friends, role models, advice givers, and potential business partners. Their kinfolk will even stick up for them, defending them against outsiders.

The inverse of clannishness is atomization, and atomization is lonely and stressful. In the atomized society, you are stuck on your own, with no one to catch you if you fall. You might be a single mother or an only child, or a hikikomori. Either way, you’re alone–and most people don’t seem to cope well with loneliness.

(The downside to tribal societies is that friendly extroverts are more likely to punch you in the face.)

Several of my friends have visited or lived in societies that fall outside the Hajnal Line, and absolutely loved them. “The friendliest place I have ever been,” raved one. “The people there are so friendly, I hear they’d stop and talk to their neighbors on the way to the hospital!” said another. “I just got hit on for the first time in my life,” said a third. “The only place I have ever felt what it meant to have a loving family–if only my family were like that.” “Everyone was so hospitable and polite and absolutely mortified when my hotel got bombed.” “If it weren’t for my [obligations], I would move there in a heartbeat.” (Quotes from five different places.)

Some of these same people have gone through decades of loneliness in outbred societies. One friend had literally no friends for a decade, after losing a spouse to a divorce and a child and parent to death; two are considered unattractive and are perennially alone. Several have little to no relationship with their extended families; most live quite far from their nearest relatives.

So even if people may not like being called “clannish” or “tribal,” these societies certainly have their fans.