Mendelian imputation of parental genotypes improves estimates of direct genetic effects
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Abstract
Effects estimated by genome-wide association studies (GWASs) include effects of alleles in an individual on that individual (direct genetic effects), indirect genetic effects (for example, effects of alleles in parents on offspring through the environment) and bias from confounding. Within-family genetic variation is random, enabling unbiased estimation of direct genetic effects when parents are genotyped. However, parental genotypes are often missing. We introduce a method that imputes missing parental genotypes and estimates direct genetic effects. Our method, implemented in the software package snipar (single-nucleotide imputation of parents), gives more precise estimates of direct genetic effects than existing approaches. Using 39,614 individuals from the UK Biobank with at least one genotyped sibling/parent, we estimate the correlation between direct genetic effects and effects from standard GWASs for nine phenotypes, including educational attainment ( r = 0.739, standard error (s.e.) = 0.086) and cognitive ability ( r = 0.490, s.e. = 0.086). Our results demonstrate substantial confounding bias in standard GWASs for some phenotypes.
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Estimates of DGEs are less precise than estimates of population effects because they only use within-family genotype variation, which is half of the variation in a random-mating population.
“Furthermore, even when parental genotypes are available, estimates of DGEs are less precise than estimates of population effects because they only use within-family genotype variation, which is half of the variation in a random-mating population3.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
The Main section says that random segregation within families enables unbiased estimates of direct genetic effects, and the Results section on genome-wide analyses says power to analyze individual-SNP direct effects was limited (page numbers unavailable). But the paper does not state the claimed comparison with population-effect precision or that within-family genotype variation is half of population variation. Its reported one-half effective sample size compares parent–offspring pairs with complete parental-genotype data, not direct-effect estimates with population-effect estimates. (LLM, conf=0.82)
Experimental — accuracy not yet measuredAlthough population structure can introduce bias into imputed parental genotypes, the resulting bias in DGE estimates is negligible for samples of relatively homogeneous genetic ancestry typically used in GWAS.
“Although population structure can introduce bias into imputed parental genotypes, the resulting bias in DGE estimates is negligible for the samples of relatively homogeneous genetic ancestry typically used in GWAS3,20.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
The Methods section, “Effect of population structure” (page not available), says population structure biases imputed parental genotypes and can bias direct-effect estimates. It says that for relatively homogeneous samples this bias is *likely* negligible at the individual-SNP level; the claim states negligibility without that uncertainty or scope limitation. The passage also does not establish that such samples are typically used in GWAS. (LLM, conf=0.85)
Experimental — accuracy not yet measuredBecause segregation of chromosomes during meiosis is independent of environment, estimates of DGEs are free from confounding due to gene-environment correlation, including from IGEs and population-stratification.
“Because the segregation of chromosomes during meiosis is independent of environment, estimates of DGEs are free from confounding due to gene-environment correlation, including from IGEs and population-stratification3,9,15,16.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
The Main section says random segregation during meiosis enables parent–offspring trio analyses to obtain unbiased, stratification-free estimates of direct genetic effects. But it also warns that sibling-based estimates can be biased by indirect genetic effects from siblings; the unqualified claim that estimates of direct genetic effects are free of this confounding is too broad. (LLM, conf=0.84)
Experimental — accuracy not yet measuredLDSC was designed for GWAS summary statistics on population effects derived from samples of unrelated individuals.
“Since LDSC was designed for GWAS summary statistics on population effects derived from samples of unrelated individuals, we use the effective sample size for the required sample size input3,9.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
The Results section describes population effects as estimates from standard GWAS, and Methods > GWASs in unrelated individuals describes an unrelated GWAS sample. The paper does not state that LDSC was designed for summary statistics from such samples; Methods > IBD inference mentions LD Score Regression software only as a way to calculate LD scores. No page numbers are available in our copy. (LLM, conf=0.82)
Experimental — accuracy not yet measuredFGWAS uses the natural experiment of random assignment of genotype within families to separate out the contribution of direct genetic effects (DGEs) from other factors contributing to genetic associations.
“Family-based GWAS (FGWAS) uses the natural experiment of random assignment of genotype within families to separate out the contribution of direct genetic effects (DGEs) — causal effects of alleles in an individual on an individual — from other factors contributing to genetic associations.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
sib-GWAS is biased by IGEs between siblings.
“Because genotype data on sibling pairs is more commonly available than complete genotype data on parents, sib-GWAS has been a popular approach9,13, although it is biased by IGEs between siblings3,15,16.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
FGWAS has been proposed as a solution to confounding in GWAS that also enables deeper investigation of gene-environment correlation and non-random mating.
“Family-based GWAS (FGWAS) has been proposed as a solution to the problem of confounding in GWAS3,9,14–16 that also enables deeper investigation of the impact of gene-environment correlation — including from IGEs — and non-random mating, including population structure and assortative mating.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
Genetic associations (including those from GWAS) can be affected by gene-environment correlations and non-random mating, such as indirect genetic effects, assortative mating, and population stratification, leading to biased inferences.
“However, genetic associations can be affected by gene-environment correlations and non-random mating, which can lead to biased inferences in downstream analyses.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
When applied to sibling pair data, the imputation approach increases effective sample size of DGE estimates by up to one third and of average NTCs by up to one half compared to sib-GWAS.
“When applied to sibling pair data, this approach increases the effective sample size of DGE estimates by up to one third and of average NTCs by up to one half compared to sib-GWAS3.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
The imputation approach gives consistent and unbiased estimates of DGEs provided that imputed parental genotypes are unbiased.
“The imputation approach has been proven to give consistent and unbiased estimates of DGEs provided that the imputed parental genotypes are unbiased3.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
sib-GWAS uses genetic differences between siblings to estimate DGEs.
“An alternative study design, which we call sib-GWAS, uses genetic differences between siblings to estimate DGEs3,9.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
Young et al. presented an approach that enables sibling pair data, parent-offspring pair data, and complete parental genotype data to be jointly analyzed through imputation of missing parental genotypes.
“Young et al. presented an alternative approach that enables sibling pair data, parent-offspring pair data, and complete parental genotype data to be jointly analyzed in a unified analytical framework through imputation of missing parental genotypes3,20.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
The primary explanation for positive LDSC estimates of correlation between DGEs and average NTCs for height and EA is likely assortative mating, which is strong for EA and height, although IGEs that are positively correlated with DGEs could also contribute.
“The primary explanation is likely AM, which is strong for EA and height25,31, although IGEs that are positively correlated with DGEs could also contribute3.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
The population effect estimated from β can differ substantially from δ+α when there is assortative mating.
“Unlike in the single variant case, the population effect estimated from β can differ substantially from δ+α — where α is the average NTC for the PGI — when there is AM3,7.”
From Family-GWAS reveals effects of environment and mating on genetic associations (2024) · cites this paper as [3]
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“We then turn to sibling indirect effects, which are known to bias estimates of direct effects in sibling-based GWASs [2,34].”
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“We leveraged first-degree relatives in the UK Biobank cohort to impute parental genotypes using the snipar package 18 .”
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“…personality genomics, researchers have combined twin and family methods with GWAS by sampling related individuals from family units and estimating genome-wide associations while controlling for the genotypes of an individual’s family members (Howe et al. 2022, Tan et al. 2024, Young et al. 2022).”
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“Since E[gij |gp(i), gm(i)] = gpar(i)/2, and variation in offspring genotype around this expectation is due to random Mendelian segregations, estimates of direct genetic effects from fitting Model 1 are free from confounding due to IGEs and non-random mating[8].”
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“Later studies demonstrated that the T/NT regression model is equivalent to the regression model in which the offspring phenotype is regressed on the offspring PGS and the parental PGSs (Okbay et al. 2022; Tubbs et al. 2020 ).”
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“However, it is more interesting to look at the relationship of the phenotypic and genotypic differences in siblings as the difference in siblings provides an estimate of direct genetics effects unbiased of indirect parental effects (Brumpton et al. 2020; Morris et al. 2020; Young et al. 2022).”
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“Although PGS effects contain environmental and population artifacts, these confounds can be controlled for using either within-sibship-based designs (Howe et al. 2022) or by imputing and controlling for parental genotypes (Young et al. 2022).”
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“As recommended by HESS, we also only used sites available in the Genomes phase1 v3 reference panels (The 1000 Genomes Project Consortium 2010) using reference SNP IDs and alleles to merge the data ( n = 8,676,905 SNPs We used the 1,703 LD-independent blocks, on average 1.6 Mb in length, based upon European LD patterns…”
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- Authors
- Young, A. I., Nehzati, S. M., Benonisdottir, S., Okbay, A., Jayashankar, H., Lee, C., Cesarini, D., Benjamin, D. J., Turley, P., & Kong, A.
- Affiliations
- University of Southern California (US)
- Vrije Universiteit Amsterdam (NL)
- National Bureau of Economic Research (US)
- University of Oxford (GB)
- Corresponding author
- Young, Alexander I.
- Kong, Augustine
- Venue
- Nature Genetics
- Published
- 2022-06
- Volume
- 54
- Issue
- 6
- Pages
- 897-905
- ISSN
- 1061-4036 (ISSN-L)
- 1546-1718
- PMC
- PMC9197765
- OpenAlex
- W4281917178
- Cited by
- 144
- References
- 0
- Citations by year
- 2026: 32 · 2025: 30 · 2024: 29 · 2023: 19 · 2022: 19 · 2021: 12 · 2020: 3
- FWCI
- 14.62
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Nature Genetics (publishedVersion, cc-by)
- bioRxiv (Cold Spring Harbor Laboratory) (acceptedVersion, cc-by-nc)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- VU Research Portal (publishedVersion, other-oa)
- eScholarship (California Digital Library) (submittedVersion, cc-by)
- Data Archiving and Networked Services (DANS) (submittedVersion, other-oa)
- Funders
- Li Ka Shing Foundation
- Netherlands Organisation for Scientific Research | Nationaal Regieorgaan Praktijkgericht Onderzoek SIA (016.Veni.198.058)
- Foundation for the National Institutes of Health (R24-AG065184, R01-AG042568, K99-AG062787-01)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Associations and Epidemiology
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic and phenotypic traits in livestock
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Mapping and Diversity in Plants and Animals
- Keywords
- Mendelian randomization, direct genetic effects, indirect genetic effects, confounding, educational attainment, cognitive ability
- MeSH terms
- Genotype, Humans, Parents, Software, Polymorphism, Single Nucleotide, Genome-Wide Association Study
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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