Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

The heritability of IQ

Abstract

IQ heritability, the portion of a population's IQ variability attributable to the effects of genes1, has been investigated for nearly a century, yet it remains controversial. Covariance between relatives may be due not only to genes, but also to shared environments, and most previous models have assumed different degrees of similarity induced by environments specific to twins, to non-twin siblings (henceforth siblings), and to parents and offspring. We now evaluate an alternative model that replaces these three environments by two maternal womb environments, one for twins and another for siblings, along with a common home environment. Meta-analysis of 212 previous studies shows that our ‘maternal-effects’ model fits the data better than the ‘family-environments’ model. Maternal effects, often assumed to be negligible, account for 20% of covariance between twins and 5% between siblings, and the effects of genes are correspondingly reduced, with two measures of heritability being less than 50%. The shared maternal environment may explain the striking correlation between the IQs of twins, especially those of adult twins that were reared apart. IQ heritability increases during early childhood, but whether it stabilizes thereafter remains unclear. A recent study of octogenarians2, for instance, suggests that IQ heritability either remains constant through adolescence and adulthood3, or continues to increase with age2. Although the latter hypothesis has recently been endorsed4, it gathers only modest statistical support in our analysis when compared to the maternal-effects hypothesis. Our analysis suggests that it will be important to understand the basis for these maternal effects if ways in which IQ might be increased are to be identified.

Main

Despite its conceptual simplicity, IQ heritability has engendered vitriolic debates throughout this century, debates that are now recurring5 following the publication of The Bell Curve by R. Herrnstein and C. Murray6. Part of this controversy arises because IQ heritability is not well characterized. Paradoxically, direct versus indirect analytic methods, both of which attempt to estimate genetic effects on IQ unencumbered by environmental effects, yield markedly different estimates7. Direct studies presumably eliminate environmental covariance by evaluating relatives raised apart; indirect studies presumably eliminate environmental covariance by contrasting results from different study designs that have complementary environmental covariance terms. Contrary to their identical objectives, the former typically produces notably larger IQ heritability estimates. We postulate that this paradox is attributable in large part to the presence of unacknowledged maternal effects on IQ.

In traditional quantitative genetic studies, the environment is divided into maternal and external constituents1. We expand this dichotomy to take account of the realities of IQ adoption studies, lumping maternal environment and any shared external environment of adopted children into a single ‘pre-separation environment’. Because the duration of shared external environment is usually small, pre-separation and maternal effects are roughly equivalent. Both are distinct from maternal inheritance, which is sometimes called a maternal effect8.

Our IQ analyses focus on the magnitude of the additive and non-additive genetic components1, estimated to explain 60–85% of the variation in IQ from adult monozygotic twin studies, and the magnitude of maternal effects, usually assumed to be negligible. To estimate these effects, we analysed 212 IQ studies (or more precisely, correlations) based on 50,470 distinct pairings. The analysis included 204 correlations from studies of zero and first-degree relatives or their adoptive counterparts9. We supplemented this set with some new twin studies published after 1981: a study of monozygotic twins reared apart10, the Swedish adoption/twin study of aging of monozygotic twins reared together and apart and dizygotic twins reared together11, and two studies of monozygotic and dizygotic adult twins reared together12.

Each IQ correlation and related sample size is classified by kind of study (Fig. 1). We evaluate these data using a standard quantitative genetic model for the components of variance (Table 1) and Bayesian meta-analysis13, a standard technique for combining information across studies. Our model is built on two levels of distributional assumptions: we assume a likelihood model for the observed correlations among relatives in each type of study; and we specify a prior distribution for the parameters of the model. We assume any standardized component of variance (positive correlation) is apriori equally likely to lie between zero and one. These prior distributions make the Bayesian parameter estimates similar to maximum-likelihood estimates.

Figure 1: Figure 1 IQ correlations for certain study designs (see Table 1for types) plotted versus sample size.
figure 1

The horizontal line indicates the mean correlation. Note the scatter about each mean is consistent with decreasing variance with increasing sample size, suggesting that much of the variance in the IQ correlations is due to sampling variance. Four type 4 studies, with missing sample size, are assigned the median sample size of 201. We analyse all study types6 with zero or first-degree relatives and their adoptive counterparts with the exception of adopted/adopted siblings. Adopted/adopted studies are excluded because the observed correlations are extremely variable relative to the other sets of correlations, and are inconsistent with the remaining data. If these data are included in our analysis, there is no appreciable difference in variance components estimates.

Table 1 Expected covariances by relationship

All correlations were Fisher-transformed and, after transformation, observed correlations from the same study design follow a normal distribution if they differ only by measurement error. However, several studies are outliers under a normal likelihood, suggesting that the studies are more heterogeneous with respect to variability than is predicted by measurement error alone. Heterogeneity is expected because some study methods differ markedly9. We account for the heterogeneity by assuming that the transformed values follow a t-distribution with two degrees of freedom.

We fit four models to the data. The richest of these models, model IV, allows for additive and non-additive genetic effects, twin and singleton maternal effects, and external environmental effects for twins, siblings and parent–offspring. The remaining models differ from model IV in that Models I and II constrain the maternal effects to be zero, and models I and III constrain the external environmental effects to be equal.

The models are evaluated informally by comparing the average observed correlations for each of the nine study designs to the models' predicted values (Table 2). Model I predicts the correlation for the dizygotic twins raised together very poorly. Except for monozygotic twins raised apart, the predicted correlations for each study type are similar for models II–IV. The observed correlations for monozygotic twins raised apart (Fig. 1) ranges from 0.62 to 0.78, with a mean of 0.74. The most extreme predicted correlation is that obtained from model II (0.50), and the closest value is from model IV (0.74), but model III also predicts the correlation well, with a value of 0.68. Maternal effects seem to be essential for a good fit to the data.

Table 2 Posterior means for IQ correlations by study type

Models III and IV estimate a large maternal effect for twins and a smaller effect for siblings (Table 3). Model III attributes 20% (95% Bayesian credible interval: 15–24%) to the former and 5% (1–8%) to the latter. The difference between these estimates is intuitively appealing. Twins share the womb concurrently, whereas siblings share the womb serially. Hence, although a mother may have similar physiological status and personal habits from one pregnancy to another, the temporal separation between progeny apparently diminishes the correlation of sibling IQ.

Table 3 Posterior means and 95% credible intervals for standardized covariances

Remarkably, the covariance attributed to environmental components is also roughly equal for models II–IV (Table 3). The notable difference among the models is how the covariance resulting from shared environments is partitioned.

The models are compared formally using Bayes factors15,16 to obtain their posterior probabilities. Apriori each model is assumed equally likely. The best model is model III, with a posterior probability of 0.95, followed by model IV, with probability 0.05, and models I and II, with probabilities near zero. Hence model II17, which is commonly used to describe the quantitative genetics of IQ, is rejected when it is compared to model III, which involves a common home environment and a maternal environment that varies depending on whether the pair are twins or not. Model III is favoured over model II by a posterior factor of almost 10,000 to 1, primarily on account of model II's fit to the observed data from monozygotic twins reared apart: its predicted value is about six standard deviations from the mean. Model IV, which combines features of models II and III, seems to be overparameterized and its environmental components make little sense (Table 3).

Model III's parameter estimates (Table 3) define estimates of IQ heritability. However, the concept of heritability has narrow-sense and broad-sense interpretations. Narrow-sense heritability accounts for additive genetic effects only; broad-sense heritability encompasses both additive and non-additive genetic effects. This distinction is often lost in the ‘IQ debates’, even though it is critical to the social implications of IQ heritability18. Based on model III, broad- and narrow-sense heritability estimates are 48% and 34%, respectively; both agree closely with estimates from studies using standard quantitative genetic models19,20 and indirect estimation methods7,21.

An IQ enigma has been developed7 by contrasting the typically larger direct heritability estimates with complementary, smaller indirect estimates. For example, an indirect estimate of broad-sense heritability is obtained by multiplying twice the difference between monozygotic and dizygotic twin correlations (Table 2). For these data (Table 3), the broad-sense heritability estimate of 0.52 is slightly greater than that obtained from model III, which is expected because the contrast overestimates heritability by about 0.5σD (see Table 1). The correlation for monozygotic twins reared apart yields a much larger direct estimate of 0.74. The difference between estimates can be reduced by subtracting the maternal effect from the direct estimate, yielding a value of 0.54.

Twice the observed correlation for siblings reared apart yields another direct, biased estimate of broad-sense heritability; the bias is −1/2σD, estimated from model III to be −7.5%. This direct estimate, 0.48, is much lower than the direct estimate obtained from the monozygotic twins reared apart, but it is similar to the indirect estimate and model III's estimate. The similarity to model III's estimate can be attributed to the balance between the bias and the 5% sibling maternal effect, which the direct estimates ignores. Thus maternal effects may resolve the IQ enigma by rectifying disparate direct and indirect heritability estimates.

It is not difficult to gather evidence for the importance of maternal environment. There is substantial brain growth in utero, and the brain has 70% of its final mass within a year of birth. Additionally, various studies indicate that IQ can be affected by prenatal environment: IQ is positively correlated with birth weight even after controlling for gestational age22,23; twins, who usually weigh less than singletons, average 4–7 points lower on IQ tests24; some dietary supplements can raise IQs25,26; alcohol, drug and cigarette consumption may lower IQs27,29; and lead exchange from mother to fetus may reduce IQ30.

In contrast, the large direct estimates derived from studies of adult twins raised apart have been explained by the conjecture that, as twins get older, IQ becomes more heritable. Evidence has been provided to support this ‘age hypothesis’4,12, although the results are inconclusive and relationship unclear.

To compare the age- and maternal-effects hypotheses, we related the IQ correlations to subject age whenever possible. We classified the studies by age into three categories, namely youths (<14 years), adolescents (14–18 years) and adults (>18 years), based on median or mean subject age for each study; we assigned 71% of the twin and sibling studies. Because they are cross-generational, assigning parent–offspring studies was problematic: in one treatment we included all such studies as adolescents, and in another we excluded all such studies except for parent/child apart. We then extended model II. This age-effect model allowed heritability to increase with age by two adjustments: a multiplicative increase in the genetic components of variance, namely b−1/2 for youths, b0 for adolescents, and b2 for adults; and a multiplicative decrease in the shared environment components of variance, namely c1/2 for youths, c0 for adolescents, and c−2 for adults. For b and c > 1, these multiplicative functions have forms consistent with those hypothesized in ref. 12. Our prior distribution for b and c favoured the age hypothesis slightly by putting uniform mass between (1/√2,√2).

The parameter estimates for b (1.13,[1.05–1.19]) and c (1.21,[1.03–1.38]), based on the analysis of all types of study, are consistent with the age hypothesis. Because Bayes factors (BF) impose a penalty for added complexity we also considered a one-parameter age-effect model with b = c. This model is favoured over the two-parameter model (BF = 2.5), and is also favoured to a small degree over model II (BF = 11, b = 1.10, [1.04–1.16]). Similar results are obtained when parent–offspring studies are excluded. However, no version of model II is competitive with model III by Bayes factor. Moreover, age-effects models fail to fit the data better than a simpler model that invokes maternal effects.

Our statistical analyses cannot, of course, be considered definitive. Age may affect IQ heritability, even though the age model does not gain much support from our analyses. Moreover, our analyses do not preclude other, unmodelled factors, such as cultural inheritance and interaction between genes and the environment, from having important effects on IQ. Despite these caveats though, several important conclusions emerge from our results.

Adoption designs are a popular means of estimating IQ heritability. Associated analyses, however, usually assume negligible maternal effects. By contrast, our results show that 20% of twin and 5% of sibling covariance may be attributable to maternal effects. These results have two implications: a new model may be required regarding the influence of genes and environment on cognitive function; and interventions aimed at improving the prenatal environment could lead to a significant increase in the population's IQ. Moreover, some of Herrnstein and Murray's conclusions6 regarding human evolution such as the development of cognitive castes and IQ dysgenics, arise from their belief that IQ heritability is at least60%, and is probably closer to the 80% values obtained fromadoption studies. Our results suggest far smaller heritabilities: broad-sense heritability, which measures the total effect of genes on IQ, is perhaps 48%; narrow-sense heritability, the relevant quantity for evolutionary arguments because it measures the additive effects of genes, is about 34%. Herrnstein and Murray's evolutionary conclusions are tenuous in light of these heritabilities18.

References

  1. Falconer, D. S. Introduction to Quantitative Genetics (Longman, New York, (1981)).

    Google Scholar 

  2. McClearn, G. E. et al. Substantial genetic influence on cognitive abilities in twins 80 or more years old. Science 276, 1560–1563 (1997).

    CAS  Article  Google Scholar 

  3. Gottesman, I. I. Twins: en route to QTLs for cognition. Science 276, 2522–1523 (1997).

    Article  Google Scholar 

  4. Task Force for Scientific Affairs. Intelligence: Knowns and Unknowns (American Psychological Association, Washington D, (1995)).

  5. Devlin, B., Fienberg, S., Resnick, D. & Roeder, K. (eds) Intelligence, Genes and Success: Scientists Respond to The Bell Curve (Springer, New York, (1997)).

    Book  Google Scholar 

  6. Herrnstein, R. J. & Murray, C. The Bell Curve: Inteligence and Class Structure in American Life (Free Press, New York, (1994)).

    Google Scholar 

  7. Plomin, R. & Loehlin, J. C. Direct and indirect IQ heritability studies: a puzzle. Behav. Genet. 19, 331–342 (1989).

    CAS  Article  Google Scholar 

  8. Rose, R. J. et al. Data from kinships of monozygotic twins indicate maternal effects on intelligence. Nature 283, 375–377 (1980).

    ADS  CAS  Article  Google Scholar 

  9. Bouchard, T. J. J & McGue, M. Familial studies of intelligence: a review. Science 250, 223–228 (1990).

    ADS  Article  Google Scholar 

  10. Bouchard, T. J. J, Lykken, D. T., McGue, M., Segal, N. L. & Tellegen, A. Sources of human psychological differences: the Minnesota study of twins reared apart. Science 250, 223–228 (1990).

    ADS  Article  Google Scholar 

  11. Pedersen, N. L., Plomin, R., Nesselroade, J. R. & McClearn, G. E. Aquantitative genetic analysis of cognitive abilities during the second half of the life span. Psychol. Sci. 3, 346–353 (1992).

    Article  Google Scholar 

  12. McGue, M., Bouchard, T. J. J, Iacono, W. G. & Lykken, D. T. in Nature, Nurture and Psychology (eds Plomin, R. & McClearn, G. E.) 59–76 (American Psychological Association, Washington DC, (1993)).

    Book  Google Scholar 

  13. National Research Council. Combining Information. Statistical Issues and Opportunities for Research (National Academy Press, Washington D, (1992)).

  14. Smith, A. F. M. & Roberts, G. O. Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. J. R. Stat. Soc. B 55, 3–24 (1993).

    MathSciNet  MATH  Google Scholar 

  15. Kass, R. E. & Raftery, A. E. Bayes Factors. J. Am. Stat. Assoc. 90, 773–795 (1995).

    MathSciNet  Article  Google Scholar 

  16. Verdinelli, I. & Wasserman, L. Computing Bayes factors by using a generalization of the Savage-Dickey density ratio. J. Am. Stat. Assoc. 90, 614–618 (1995).

    Article  Google Scholar 

  17. Plomin, R., DeFries, J. C. & McClearn, G. E. Behavioral Genetics: A Primer (Freeman, New York, (1990)).

    Google Scholar 

  18. Daniels, M., Devlin, B. & Roeder, K. in Intelligence, Genes and Success: Scientists respond to The Bell Curve (eds Devlin, B., Fienberg, S., Resnick, D. & Roeder, K.) (Springer, New York, (1997)).

    Google Scholar 

  19. Chipuer, H. M., Rovine, M. J. & Plomin, R. LISREL modeling: genetic and environmental influences on IQ revisited. Intelligence 14, 11–29 (1990).

    Article  Google Scholar 

  20. Rao, D. C., Morton, N. E., Lalouel, J. M. & Lew, R. Path analysis under generalized assortative mating. II. American IQ. Genet. Res. 39, 187–198 (1982).

    CAS  Article  Google Scholar 

  21. McCartney, K., Harris, M. J. & Bernieri, F. Growing up and growing apart: a developmental meta-analysis of twin studies. Psychol. Bull. 107, 226–237 (1990).

    CAS  Article  Google Scholar 

  22. Lynn, R. & Hattori, K. The heritability of intelligence in Japan. Behav. Genet. 20, 545–546 (1990).

    CAS  Article  Google Scholar 

  23. Churchill, J. A. The relationship between intelligence and birth weight in twins. Neurology 15, 341–347 (1965).

    CAS  Article  Google Scholar 

  24. T. Husén, T. Intra-pair similarities in the school achievement of twins. Scand. J. Psychol. 4, 108–144 (1963).

    Article  Google Scholar 

  25. Harrell, R. F., Woodyard, E. & Gates, A. I. The Effects of Mothers' Diets on the Intelligence of Offspring (Teacher's College, New York, (1955)).

    Google Scholar 

  26. Rush, D., Stein, Z., Susser, M. & Brody, N. in Diet in Pregnancy: A Randomized Controlled Trial of Nutritional Supplements (eds Rush, D., Stein, Z. & Susser, M.) 88–131 (Liss, New York, (1980)).

    Google Scholar 

  27. Reinisch, J., Sanders, S. A., Mortensen, E. L. & Rubin, D. B. In utero exposure to phenobarbital and intelligence deficits in adult men. J. Am. Med. Assoc. 274, 1518–1525.

  28. Streissguth, A. P., Barr, H. M., Sampson, P. D., Darby, B. L. & Martin, D. C. IQ at age 4 in relation to maternal alcohol and smoking during pregnancy. Dev. Psychol. 25, 3–11 (1989).

    Article  Google Scholar 

  29. Olds, D. L., Henderson, C. R. J & Tatelbaum, R. Intellectual impairment in children of women who smoke cigarettes during pregnancy. Pediatrics 93, 221–227 (1994).

    CAS  PubMed  Google Scholar 

  30. Baghurst, P. A. et al. Environmental exposure to lead and children's intelligence at the age of seven years. N. Engl. J. Med. 327, 1279–1284 (1992).

    CAS  Article  Google Scholar 

Download references

Acknowledgements

We thank T. J. Bouchard Jr for compilations of IQ data, and J. C. Loehlin, M. McGue, S.Fienberg and R. Kass for comments on a previous draft of the manuscript. This work was supported by grants from the National Science Foundation and the National Institutes of Health.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Devlin.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Devlin, B., Daniels, M. & Roeder, K. The heritability of IQ. Nature 388, 468–471 (1997). https://doi.org/10.1038/41319

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/41319

Further reading

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing