bioRxivGeneticsPreprint
Genomic SEM Provides Insights into the Multivariate Genetic Architecture of Complex Traits
Andrew David GrotzingeriD, Mijke RhemtullaiD, Ronald de VlamingiD, Stuart James RitchieiD, Travis T. MallardiD, William David HilliD, Hill Fung IpiD, Andrew Mark McIntoshiD, Ian J. DearyiD, Philipp KoellingeriD, K. Paige HardeniD, Michel Guillaume NivardiD, Elliot M. Tucker–DrobiD
Abstract
Methods for using GWAS to estimate genetic correlations between pairwise combinations of traits have produced \"atlases\" of genetic architecture. Genetic atlases reveal pervasive pleiotropy, and genome-wide significant loci are often shared across different phenotypes. We introduce genomic structural equation modeling (Genomic SEM), a multivariate method for analyzing the joint genetic architectures of complex traits. Using formal methods for modeling covariance structure, Genomic SEM synthesizes genetic correlations and SNP-heritabilities inferred from GWAS summary statistics of individual traits from samples with varying and unknown degrees of overlap. Genomic SEM can be used to identify variants with effects on general dimensions of cross-trait liability, boost power for discovery, and calculate more predictive polygenic scores. Finally, Genomic SEM can be used to identify loci that cause divergence between traits, aiding the search for what uniquely differentiates highly correlated phenotypes. We demonstrate several applications of Genomic SEM, including a joint analysis of GWAS summary statistics from five genetically correlated psychiatric traits. We identify 27 independent SNPs not previously identified in the univariate GWASs, 5 of which have been reported in other published GWASs of the included traits. Polygenic scores derived from Genomic SEM consistently outperform polygenic scores derived from GWASs of the individual traits. Genomic SEM is flexible, open ended, and allows for continuous innovations in how multivariate genetic architecture is modeled.
- assay: GWAS summary statistics
- research focus: GWAS / association mapping
- research focus: polygenic risk
- research focus: benchmarking
- approach: statistical model
Abstract summary
Claude Opus 5.5 · xhigh effort · 18 Oct 2026 · from the abstract
Structural equation modeling over GWAS summary statistics fits several traits jointly; across five psychiatric traits it surfaced 27 SNPs the univariate GWASs missed and sharpened polygenic scores.
Genetic correlation atlases document widespread pleiotropy but treat traits two at a time, so the shared structure behind many phenotypes is never modelled explicitly. Genomic SEM builds that covariance structure from summary statistics alone, tolerating samples whose overlap is uneven or unknown, so latent cross-trait liabilities can be tested, used for discovery and used for prediction.
Key results
ShownA joint analysis of five genetically correlated psychiatric traits turned up SNPs that the single-trait GWASs had not flagged.
27 independent SNPs not identified in the univariate GWASs, of which 5 had been reported in other published GWASs of the same traits; the abstract names neither the traits nor the sample sizes. · Abstract
SuggestedPolygenic scores built from the multivariate model predict better than scores from each trait's own GWAS.
Described as consistently outperforming the single-trait scores, with no R-squared, variance explained, target cohort or number of comparisons reported. · Abstract
ClaimedThe framework also locates variants that pull correlated traits apart, not only those acting on shared liability.
Stated as a capability for finding loci that cause divergence between highly correlated phenotypes; no worked example or counts accompany it in the abstract. · Abstract
Methods, data and reproducibility
Genomic structural equation modeling assembles SNP-heritabilities and genetic correlations estimated from published GWAS summary statistics into a formal covariance structure model, allowing for varying and unknown overlap between the contributing samples. SNP effects are then tested against latent cross-trait factors, and loci that drive divergence between correlated phenotypes are also identified.
- GWAS summary statistics for five genetically correlated psychiatric traits, analysed jointly · n = 5 traits; per-trait sample sizes not stated
- Methods & tools
- Genomic SEM
- Reproducibility gaps
- No software package, repository or source for the summary statistics is named in the abstract.
Limitations (2)
- No sample sizes, trait names, heritability or correlation estimates are reported, and the polygenic score advantage comes without any effect size. · noted in this summary
- The discovery demonstration rests on one set of five correlated psychiatric traits, and 5 of the 27 new SNPs had already been reported elsewhere for those traits. · noted in this summary
Read this if you combine GWAS summary statistics across correlated traits and want a factor-model framework that handles unknown sample overlap and feeds better polygenic scores.
- Citations
- 49
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