Rare and low-frequency coding variants alter human adult height

Summary

Height is a highly heritable, classic polygenic trait with ∼700 common associated variants identified so far through genome-wide association studies. Here, we report 83 height-associated coding variants with lower minor allele frequencies (range of 0.1-4.8%) and effects of up to 2 cm/allele (e.g. in IHH, STC2, AR and CRISPLD2), >10 times the average effect of common variants. In functional follow-up studies, rare height-increasing alleles of STC2 (+1-2 cm/allele) compromised proteolytic inhibition of PAPP-A and increased cleavage of IGFBP-4 in vitro, resulting in higher bioavailability of insulin-like growth factors. These 83 height-associated variants overlap genes mutated in monogenic growth disorders and highlight new biological candidates (e.g. ADAMTS3, IL11RA, NOX4) and pathways (e.g. proteoglycan/glycosaminoglycan synthesis) involved in growth. Our results demonstrate that sufficiently large sample sizes can uncover rare and low-frequency variants of moderate to large effect associated with polygenic human phenotypes, and that these variants implicate relevant genes and pathways.

Introduction

Human height is a highly heritable, polygenic trait^1,2. The contribution of common DNA sequence variation to inter-individual differences in adult height has been systematically evaluated through genome-wide association studies (GWAS). This approach has thus far identified 697 independent variants located within 423 loci that together explain ∼20% of the heritability of height³. As is typical of complex traits and diseases, most of the height alleles discovered so far are common (minor allele frequency (MAF) >5%) and are mainly located outside coding regions, complicating the identification of the relevant genes or functional variants. Identifying coding variants associated with a complex trait in new or known loci has the potential to pinpoint causal genes. Furthermore, the extent to which rare (MAF <1%) and low-frequency (1%< MAF ≤ 5%) coding variants also influence complex traits and diseases remains an open question. Many recent DNA sequencing studies have identified only few such variants^4-8, but this limited success could be due to their modest sample size⁹. Some studies have suggested that common sequence variants may explain the majority of the heritable variation in adult height¹⁰, making it timely to assess whether and to what extent rare and low-frequency coding variation contributes to the genetic landscape of this model polygenic trait.

In this study, we used an ExomeChip¹¹ to test the association between 241,453 variants (83% coding with MAF ≤5%) and adult height variation in 711,428 individuals (discovery and validation sample sizes were 458,927 and 252,501, respectively). The ExomeChip is a genotyping array designed to query in very large sample sizes coding variants identified by whole-exome DNA sequencing of ∼12,000 participants. The main goals of our project were to determine whether rare and low-frequency coding variants influence the architecture of a model complex human trait, such as adult height, and to discover and characterize new genes and biological pathways implicated in human growth.

Results

32 rare and 51 low-frequency coding variants associated with adult height

We conducted single-variant meta-analyses in a discovery sample of 458,927 individuals, of whom 381,625 were of European ancestry. We validated our association results in an independent set of 252,501 participants. We first performed standard single-variant association analyses; technical details of the discovery and validation steps are in Methods (Extended Data Figs 1-3, Supplementary Tables 1-11). In total, we found 606 independent ExomeChip variants at array-wide significance (P<2×10^-7), including 252 non-synonymous or splice site variants (Methods and Supplementary Table 11). Focusing on non-synonymous or splice site variants with MAF <5%, our single-variant analyses identified 32 rare and 51 low-frequency height-associated variants (Extended Data Tables 1-2). To date, these 83 height variants (MAF range 0.1-4.8%) represent the largest set of validated rare and low-frequency coding variants associated with any complex human trait or disease. Among these 83 variants, there are 81 missense, one nonsense (in CCND3), and one essential acceptor splice site (in ARMC5) variants.

We observed a strong inverse relationship between MAF and effect size (Fig. 1). Although power limits our capacity to find rare variants of small effects, we know that common variants with effect sizes comparable to the largest seen in our study would have been easily discovered by prior GWAS, but were not detected. Our results agree with a model based on accumulating theoretical and empirical evidences that suggest that variants with strong phenotypic effects are more likely to be deleterious, and therefore rarer^12,13. The largest effect sizes were observed for four rare missense variants, located in the androgen receptor gene AR (rs137852591, MAF=0.21%, P_combined=2.7×10^-14), in CRISPLD2 (rs148934412, MAF=0.08%, P_combined=2.4×10^-20), in IHH (rs142036701, MAF=0.08%, P_combined=1.9×10^-23), and in STC2 (rs148833559, MAF=0.1%, P_combined=1.2×10^-30). Carriers of the rare STC2 missense variant are ∼2.1 cm taller than non-carriers, whereas carriers of the remaining three variants (or hemizygous men that carry the X-linked AR-rs137852591 rare allele) are ∼2 cm shorter than non-carriers. In comparison, the mean effect size of common height alleles is ten times smaller in the same dataset. Across all 83 rare and low-frequency non-synonymous variants, the minor alleles were evenly distributed between height-increasing and -decreasing effects (48% vs. 52%, respectively) (Fig. 1 and Extended Data Tables 1-2).

Figure 1.

Variants with a larger effect size on height variation tend to be rarer. We observed an inverse relationship between the effect size (from the combined “discovery+validation” analysis, in cm on the y-axis) and the minor allele frequency (MAF) for the height variants (x-axis, from 0 to 50%). We included in this figure the 606 height variants with P<2×10^-7.

Coding variants in new and known height loci, and heritability explained

Many of the height-associated variants in this ExomeChip effort are located near common variants previously associated with height. Of the 83 rare and low-frequency non-synonymous variants, two low-frequency missense variants were previously identified (in CYTL1 and IL11)^3,14 and 47 fell within 1 Mb of a known height signal; the remaining 34 define new loci. We used conditional analysis in the UK Biobank dataset and confirmed that 38 of these 47 variants were independent from the previously described height SNPs (Supplementary Table 12). We validated the UK Biobank conditional results using an orthogonal imputation-based methodology implemented in the full discovery set (Extended Data Fig. 4 and Supplementary Table 12). In addition, we found a further 85 common variants and one low-frequency synonymous variant (in ACHE) that define novel loci (Supplementary Table 12). Thus, our study identified a total of 120 new height loci (Supplementary Table 11).

We used the UK Biobank dataset to estimate the contribution of the new height variants to heritability, which is h²∼80% for adult height². In combination, the 83 rare and low-frequency variants explained 1.7% of the heritability of height. The newly identified novel common variants accounted for another 2.4%, and all independent variants, known and novel together explained 27.4% of heritability. By comparison, the 697 known height SNPs explain 23.3% of height heritability in the same dataset (vs. 4.1% by the new height variants identified in this ExomeChip study). We observed a modest positive association between MAF and heritability explained per variant (P=0.012, Extended Data Fig. 5), with each common variant explaining slightly more heritability than rare or low-frequency variants (0.036% vs. 0.026%, Extended Data Fig. 5).

Gene-based association results

To increase power to find rare or low-frequency coding variants associated with height, we performed gene-based analyses (Methods and Supplementary Tables 13-15). After accounting for gene-based signals explained by a single variant driving the association statistics, we identified ten genes with P<5×10^-7 that harbor more than one coding variant independently associated with height variation (Supplementary Tables 16-17). These gene-based results remained significant after conditioning on genotypes at nearby common height-associated variants present on the ExomeChip (Table 1). Using the same gene-based tests in an independent dataset of 59,804 individuals genotyped on the same exome array, we replicated three genes at P<0.05 (Table 1). Further evidence for replication in these genes was seen at the level of single variants (Supplementary Table 18). From the gene-based results, three genes – CSAD, NOX4, and UGGT2 – fell outside of the loci found by single-variant analyses and are implicated in human height for the first time.

Table 1.

Ten height genes implicated by gene-based testing. These genes meet our three criteria for statistical significance: (1) gene-based P<5×10^-7, (2) the gene does not include variants with P<2×10^-7, and (3) the gene-based P-value is at least two orders of magnitude smaller than the P-value for the most significant variant within the gene. For each gene, we provide P-values for the four different gene-based tests applied. P-values in bold are the most significant results for a given gene.

Gene	Discovery gene-based P-value				Validation P-value1	Combined P-value1	Conditional P-value2	Note3
	SKAT-broad	VT-broad	SKAT-strict	VT-strict
OSGIN1	4.3×10-11	4.5×10-5	0.19	0.18	0.048	2.6×10-12	7.7×10-11	Known locus. No predicted causal genes.
CRISPLD1	2.2×10-7	6.7×10-11	8.5×10-6	8.9×10-7	0.50	1.2×10-12	NA	Known locus, sentinel GWAS SNP not tested on ExomeChip. CRISPLD1 was predicted to be causal.
CSAD	2.3×10-8	2.4×10-9	0.83	0.59	0.54	2.0×10-9	NA	New locus.
SNED1	1.9×10-5	4.3×10-9	NA	NA	0.083	4.5×10-10	1.4×10-9	Known locus. SNED1 was not predicted to be causal.
G6PC	1.3×10-5	3.6×10-8	5.5×10-6	1.3×10-6	0.24	5.2×10-8	3.9×10-8	Known locus, G6PC was not predicted to be causal. G6PC is mutated in glycogen storage disease Ia.
NOX4	5.1×10-6	1.4×10-7	NA	NA	0.013	5.5×10-9	NA	New locus.
UGGT2	3.0×10-5	2.6×10-7	2.3×10-5	4.8×10-7	0.64	3.4×10-7	NA	New locus.
FLNB	2.2×10-6	5.1×10-4	2.4×10-9	3.2×10-6	0.016	8.6×10-11	3.6×10-9	Known locus. FLNB was predicted to be causal. FLNB is mutated in atelosteogenesis type I.
B4GALNT3	2.4×10-5	1.9×10-5	1.8×10-5	3.1×10-7	0.79	4.3×10-7	7.7×10-7	Known locus. B4GALNT3 was predicted to be causal.
CCDC3	6.3×10-4	6.3×10-6	3.0×10-7	5.4×10-9	0.080	1.2×10-9	1.6×10-9	Known locus. CCDC3 was predicted to be causal.

¹Validation (N=59,804) and combined results using the same test and (when possible) variants.

²When the gene is located in a locus identified by our single-variant analysis (1 Mb window), we conditioned the gene-based association result on genotypes at the single variant(s).

³If the gene falls within a known GWAS height locus, we mention if it was predicted to be causal using bioinformatic tools (ref. ³). NA, not applicable.

Coding variants implicate biological pathways in human skeletal growth

Prior pathway analyses of height loci identified by GWAS have highlighted gene sets related to both general biological processes (such as chromatin modification and regulation of embryonic size) and more skeletal growth-specific pathways (chondrocyte biology, extracellular matrix (ECM), and skeletal development)³. We used two different methods, DEPICT¹⁵ and PASCAL¹⁶ (Methods), to perform pathway analyses using the ExomeChip results to test whether coding variants could either independently confirm the relevance of these previously highlighted pathways (and further implicate specific genes in these pathways), or identify new pathways. To compare the pathways emerging from coding and non-coding variation, we applied DEPICT separately on (1) exome array-wide associated coding variants independent of known GWAS signals and (2) non-coding GWAS loci, excluding all novel height-associated genes implicated by coding variants. We identified a total of 496 and 1,623 enriched gene sets, respectively, at a false discovery rate (FDR) <1% (Supplementary Tables 19-20); similar analyses with PASCAL yielded 362 and 278 enriched gene sets (Supplementary Tables 21-22). Comparison of the results revealed a high degree of shared biology for coding and non-coding variants (for DEPICT, gene set P-values compared between coding and non-coding results had Pearson's r = 0.583, P<2.2×10^-16; for PASCAL, Pearson's r=0.605, P<2.2×10^-16). However, some pathways showed stronger enrichment with either coding or non-coding genetic variation. In general, coding variants more strongly implicated pathways specific to skeletal growth (such as ECM and bone growth), while GWAS signals highlighted more global biological processes (such as transcription factor binding and embryonic size/lethality) (Extended Data Fig. 6). The two significant gene sets identified by DEPICT and PASCAL that uniquely implicated coding variants were “BCAN protein protein interaction subnetwork” and “proteoglycan binding.” Both of these pathways relate to the biology of proteoglycans, which are proteins (such as aggrecan) that contain glycosaminoglycans (such as chrondroitin sulfate) and that have well-established connections to skeletal growth¹⁷.

We also examined which height-associated genes identified by ExomeChip analyses were driving enrichment of pathways such as proteoglycan binding. Using unsupervised clustering analysis, we observed that a cluster of 15 height-associated genes is strongly implicated in a group of correlated pathways that include biology related to proteoglycans/glycosaminoglycans (Fig. 2 and Extended Data Fig. 7). Seven of these 15 genes overlap a previously curated list of 277 genes annotated in OMIM as causing skeletal growth disorders³; genes in this small cluster are enriched for OMIM annotations relative to genes outside the cluster (odds ratio=27.6, Fisher's exact P=1.1×10^-5). As such, the remaining genes in this cluster may be strong candidates for harboring variants that cause Mendelian growth disorders. Within this group are genes that are largely uncharacterized (SUSD5), have relevant biochemical functions (GLT8D2, a glycosyl transferase studied mostly in the context of the liver¹⁸; LOXL4, a lysyl oxidase expressed in cartilage¹⁹), modulate pathways known to affect skeletal growth (FIBIN, SFRP4)^20,21 or lead to increased body length when knocked out in mice (SFRP4)²².

Figure 2.

Heat map showing subset of DEPICT gene set enrichment results. The full heat map is available as Extended Data Fig. 7. For any given square, the color indicates how strongly the corresponding gene (shown on the x-axis) is predicted to belong to the reconstituted gene set (y-axis). This value is based on the gene's Z-score for gene set inclusion in DEPICT's reconstituted gene sets, where red indicates a higher Z-score and blue indicates a lower one. The proteogly can binding pathway (bold) was uniquely implicated by coding variants by DEPICT and PASCAL. To visually reduce redundancy and increase clarity, we chose one representative “meta-gene set” for each group of highly correlated gene sets based on affinity propagation clustering (Supplementary Information). Heat map intensity and DEPICT P-values correspond to the most significantly enriched gene set within the meta-gene set; meta-gene sets are listed with their database source. Annotations for the genes indicate whether the gene has OMIM annotation as underlying a disorder of skeletal growth (black and grey) and the minor allele frequency of the significant ExomeChip (EC) variant (shades of blue; if multiple variants, the lowest-frequency variant was kept). Annotations for the gene sets indicate if the gene set was also found significant for EC by PASCAL (yellow and grey) and if the gene set was found significant by DEPICT for EC only or for both EC and GWAS (purple and green). Abbreviations: GO: Gene Ontology; MP: mouse phenotype in the Mouse Genetics Initiative; PPI: protein-protein interaction in the In Web database.

Functional characterization of rare STC2 variants

To begin exploring whether the identified rare coding variants affect protein function, we performed in vitro functional analyses of two rare coding variants in a particularly compelling and novel candidate gene, STC2. Over-expression of STC2 diminishes growth in mice by covalent binding and inhibition of the proteinase PAPP-A, which specifically cleaves IGF binding protein-4 (IGFBP-4), leading to reduced levels of bioactive insulin-like growth factors (Fig. 3A)²³. Although there was no prior genetic evidence implicating STC2 variation in human growth, the PAPPA and IGFBP4 genes were both implicated in height GWAS³, and rare mutations in PAPPA2 cause severe short stature²⁴, emphasizing the likely relevance of this pathway in humans. The two STC2 height-associated variants are rs148833559 (p.Arg44Leu, MAF=0.096%, P_discovery=5.7×10^-15) and rs146441603 (p.Met86Ile, MAF=0.14%, P_discovery=2.1×10^-5). These rare alleles increase height by 1.9 and 0.9 cm, respectively, suggesting that they both partially impair STC2 activity. In functional studies, STC2 with these amino acid substitutions were expressed at similar levels to wild-type, but showed clear, partial defects in binding to PAPP-A and in inhibition of PAPP-A-mediated cleavage of IGFBP-4 (Fig. 3B-D). Thus, the genetic analysis successfully identified rare coding alleles that have demonstrable and predicted functional consequences, strongly confirming the role of these variants and the STC2 gene in human growth.

Figure 3.

STC2 mutants p.Arg44Leu (R44L) and p.Met86Ile (M86I) show compromised proteolytic inhibition of PAPP-A. (A) Schematic representation of the role of STC2 in IGF-1 signaling. Partial inactivation of STC2 by height-associated DNA sequence variation could increase bioactive IGF-1 through reduced inhibition of PAPP-A. (B) Western blot analysis of recombinant STC2 wild-type and variants R44L and M86I. (C) Covalent complex formation between PAPP-A and STC2 wild-type or variants R44L and M86I. Separately synthesized proteins were analyzed by PAPP-A Western blotting following incubation for 8 h. In the absence of STC2 (Mock lane), PAPP-A appears as a single 400 kDa band (*). Following incubation with wild-type STC2, the majority of PAPP-A is present as the approximately 500 kDa covalent PAPP-A:STC2 complex (#), in which PAPP-A is devoid of proteolytic activity towards IGFBP-4. Under similar conditions, incubation with variants R44L or M86I appeared to cause less covalent complex formation with PAPP-A. The gels are representative of at least three independent experiments. (D) PAPP-A proteolytic cleavage of IGFBP-4 following incubation with wild-type STC2 or variants for 1-24 h. Wild-type STC2 causes reduction in PAPP-A activity, with complete inhibition of activity following 24 h incubation. Both STC2 variants show increased IGFBP-4 cleavage (i.e. less inhibition) for all time points analyzed. Mean and standard deviations of three independent experiments are shown. One-way repeated measures analysis of variance followed by Dunnett's post-test showed significant differences between STC2 wild-type and variants R44L (P<0.001) and M86I (P<0.01).

Pleiotropic effects

Previous GWAS studies have reported pleiotropic or secondary effects on other phenotypes for many common variants associated with adult height^3,25. Using association results from 17 human complex phenotypes for which well-powered meta-analysis results were available, we explored if rare and low-frequency height variants are also pleiotropic. We found one rare and five low-frequency missense variants associated with at least one of the other investigated traits at array-wide significance (P<2×10^-7)(Extended Data Fig. 8 and Supplementary Table 23). The minor alleles at rs77542162 (ABCA6, MAF=1.7%) and rs28929474 (SERPINA1, MAF=1.8%) were associated with increased height and increased levels of LDL-cholesterol (LDL-C) and total cholesterol (TC), whereas the minor allele at rs3208856 in CBLC (MAF=3.4%) was associated with increased height, HDL-cholesterol (HDL-C) and triglyceride (TG), but lower LDL-C and TC levels. The minor allele at rs141845046 (ZBTB7B, MAF=2.8%) was associated with both increased height and body mass index (BMI). The minor alleles at the other two missense variants associated with shorter stature, rs201226914 in PIEZO1 (MAF=0.2%) and rs35658696 in PAM (MAF=4.8%), were associated with decreased glycated haemoglobin (HbA1c) and increased type 2 diabetes (T2D) risk, respectively.

Discussion

We undertook an association study of nearly 200,000 coding variants in 711,428 individuals, and identified 32 rare and 51 low-frequency coding variants associated with adult height. Furthermore, gene-based testing discovered 10 genes that harbor several additional rare/low-frequency variants associated with height, including three genes (CSAD, NOX4, UGGT2) in loci not previously implicated in height. Given the design of the ExomeChip, which did not consider variants with MAF <0.004% (or one allele in ∼12,000 participants), our gene-based association results do not rule out the possibility that additional genes with such rarer coding variants also contribute to height variation; deep DNA sequencing in very large sample sizes will be required to address this question. In total, our results highlight 89 genes (10 from gene-based testing and 79 from single-variant analyses (four genes have 2 independent coding variants)) that are likely to modulate human growth, and 24 alleles segregating in the general population that affect height by more than 1 cm (Extended Data Tables 1-2 and Table 1). The rare and low-frequency coding variants explain 1.7% of the heritable variation in adult height. When considering all rare, low-frequency, and common height-associated variants validated in this study, we can now explain 27.4% of the heritability.

Our analyses revealed many coding variants in genes mutated in monogenic skeletal growth disorders, confirming the presence of allelic series (from familial penetrant mutations to mild effect common variants) in the same genes for related growth phenotypes in humans. We used gene set enrichment-type analyses to demonstrate the functional connectivity between the genes that harbor coding height variants, highlighting known as well as novel biological pathways that regulate height in humans (Fig. 2, Extended Data Fig. 7 and Supplementary Tables 19-22), and newly implicating genes such as SUSD5, GLT8D2, LOXL4, FIBIN, and SFRP4 that have not been previously connected with skeletal growth. Additional interesting height candidate genes include NOX4, ADAMTS3 and ADAMTS6, PTH1R, and IL11RA (Extended Data Tables 1-2, Supplementary Tables 17 and 24). NOX4, identified through gene-based testing, encodes NADPH oxidase 4, an enzyme that produces reactive oxygen species, a biological pathway not previously implicated in human growth. Nox4^-/- mice display higher bone density and reduced numbers of osteoclasts, a cell type essential for bone repair, maintenance, and remodelling12. We also found rare coding variants in ADAMTS3 and ADAMTS6, genes that encode metalloproteinases that belong to the same family than several other human growth syndromic genes (e.g. ADAMTS2, ADAMTS10, ADAMTSL2). Moreover, we discovered a rare missense variant in PTH1R that encodes a receptor of the parathyroid hormone (PTH): PTH-PTH1R signaling is important for bone resorption and mutations in PTH1R cause chondrodysplasia in humans²⁶. Finally, we replicated the association between a low-frequency missense variant in the cytokine gene IL11, but also found a new low-frequency missense variant in its receptor gene IL11RA. The IL11-IL11RA axis has been shown to play an important role in bone formation in the mouse^27,28. Thus, our data confirm the relevance of this signaling cascade in human growth as well.

Overall, our findings provide strong evidence that rare and low-frequency coding variants contribute to the genetic architecture of height, a model complex human trait. This conclusion has strong implications for the prediction of complex human phenotypes in the context of precision medicine initiatives. Indeed, although rare, large effect size variants might not explain most of the heritable disease risk at the population level, they are important to predict the risk to develop disease for individuals that carry them. Our findings also seem to contrast sharply with results from the recent large-scale T2D association study, which found only six variants with MAF <5% (ref. ²⁹). This apparent difference could simply be explained by the large difference in sample sizes between the two studies (711,428 for height vs. 127,145 for T2D). When we consider the fraction of associated variants with MAF<5% among all confirmed variants for height and T2D, we find that it is similar (9.7% for height vs. 7.1% for T2D). This supports the strong probability that rarer T2D alleles and more generally, rarer alleles for other polygenic diseases and traits, will be uncovered as sample sizes continue to increase.

Methods

Study design & participants

The discovery cohort consisted of 147 studies comprising 458,927 adult individuals of the following ancestries: 1) European descent (N=381,625), 2) African (N=27,494), 3) South Asian (N=29,591), 4) East Asian (N=8,767); 5) Hispanic (N=10,776) and 6) Saudi (N=695). All participating institutions and coordinating centers approved this project, and informed consent was obtained from all subjects. Discovery meta-analysis was carried out in each ancestry group (except the Saudi) separately as well as in the All group. Validation was undertaken in individuals of European ancestry only (Supplementary Tables 1-3). Conditional analyses were undertaken only in the European descent group (106 studies, N=381,625).

Phenotype

Height (in centimeters) was corrected for age and the genomic principal components (derived from GWAS data, the variants with MAF >1% on ExomeChip, or ancestry informative markers available on the ExomeChip), as well as any additional study-specific covariates (e.g. recruiting center), in a linear regression separately by sex, whereas for family-based studies sex was included as a covariate in model. For studies with non-related individuals, residuals were calculated the model. Additionally, residuals for case/control studies were calculated separately. Finally, residuals were subject to inverse normal transformation.

Genotype calling

The majority of studies followed a standardized protocol and performed genotype calling using the designated manufacturer software, which was then followed by zCall³¹. For 10 studies participating in the Cohorts for Heart and Aging Research in Genomic Epidemiology (CHARGE) Consortium, the raw intensity data for the samples from seven genotyping centers were assembled into a single project for joint calling¹¹. Study-specific quality control (QC) measures of the genotyped variants was implemented before association analysis (Supplementary Tables 1-2).

Study-level statistical analyses

Individual cohorts were analyzed separately for each ancestry population, with either RAREMETALWORKER (http://genome.sph.umich.edu/wiki/RAREMETALWORKER) or RVTEST (http://zhanxw.github.io/rvtests/), to associate inverse normal transformed height data with genotype data taking potential cryptic relatedness (kinship matrix) into account in a linear mixed model. These software are designed to perform score-statistics based rare-variant association analysis, can accommodate both unrelated and related individuals, and provide single-variant results and variance-covariance matrix. The covariance matrix captures linkage disequilibrium (LD) relationships between markers within 1 Mb, which is used for gene-level meta-analyses and conditional analyses³². Single-variant analyses were performed for both additive and recessive models (for the alternate allele).

Centralized quality-control

The individual study data were investigated for potential existence of ancestry population outliers based on 1000 Genome Project phase 1 ancestry reference populations. A centralized QC procedure implemented in EasyQC³³ was applied to individual study association summary statistics to identify outlying studies: (1) assessment of possible problems in height transformation,(2) comparison of allele frequency alignment against 1000 Genomes Project phase 1 reference data to pinpoint any potential strand issues, and (3) examination of quantile-quantile (QQ) plots per study to identify any problems arising from population stratification, cryptic relatedness and genotype biases. We excluded variants if they had call rate <95%, Hardy-Weinberg equilibrium P<1×10^-7, or large allele frequency deviations from reference populations (>0.6 for all ancestry analyses and >0.3 for ancestry-specific population analyses). We also excluded from downstream analyses markers not present on the Illumina ExomeChip array 1.0, variants on the Y-chromosome or the mitochondrial genome, indels, multiallelic variants, and problematic variants based on the Blat-based sequence alignment analyses. Meta-analyses were carried out in parallel by two different analysts at two sites.

Single-variant meta-analyses

Discovery analyses

We conducted single-variant meta-analyses in a discovery sample of 458,927 individuals of different ancestries using both additive and recessive genetic models (Extended Data Fig. 1 and Supplementary Tables 1-4). Significance for single-variant analyses was defined at array-wide level (P<2×10-7, Bonferroni correction for 250,000 variants). The combined additive analyses identified 1,455 unique variants that reached array-wide significance (P<2×10-7), including 578 non-synonymous and splice site variants (Supplementary Tables 5-7). Under the additive model, we observed a high genomic inflation of the test statistics (e.g. λ_GC of 2.7 in European-ancestry studies for common markers, Extended Data Fig. 2 and Supplementary Table 8), although validation results (see below) and additional sensitivity analyses (see below) suggested that it is consistent with polygenic inheritance as opposed to population stratification, cryptic relatedness, or technical artifacts (Extended Data Fig. 2). The majority of these 1,455 association signals (1,241; 85.3%) were found in the European-ancestry meta-analysis (85.5% of the discovery sample size) (Extended Data Fig. 2). Nevertheless, we discovered eight associations within five loci in our all-ancestry analyses that are driven by African studies (including one missense variant in the growth hormone gene GH1 (rs151263636), Extended Data Fig. 3), three height variants found only in African studies, and one rare missense marker associated with height in South Asians only (Supplementary Table 7).

Genomic inflation and confounding

We observed a marked genomic inflation of the test statistics even after adequate control for population stratification (linear mixed model) arising mainly from common markers; λ_GC in European-ancestry was 1.2 and 2.7 for all and common markers, respectively (Extended Data Fig. 2 and Supplementary Table 8). Such inflation is expected for a highly polygenic trait like height, and is consistent with our very large sample size^3,34. To confirm this, we applied the recently developed linkage disequilibrium (LD) score regression method to our height ExomeChip results³⁰, with the caveats that the method was developed (and tested) with >200,000 common markers available. We restricted our analyses to 15,848 common variants (MAF ≥5%) from the European-ancestry meta-analysis, and matched them to pre-computed LD scores for the European reference dataset³⁰. The intercept of the regression of the χ² statistics from the height meta-analysis on the LD score estimate the inflation in the mean χ² due to confounding bias, such as cryptic relatedness or population stratification. The intercept was 1.4 (standard error=0.07), which is small when compared to the λ_GC of 2.7. Furthermore, we also confirmed that the LD score regression intercept is estimated upward because of the small number of variants on the ExomeChip and the selection criteria for these variants (i.e. known GWAS hits). The ratio statistic of (intercept -1) / (mean χ² -1) is 0.067 (standard error=0.012), well within the normal range³⁰, suggesting that most of the inflation (∼93%) observed in the height association statistics is due to polygenic effects (Extended Data Fig. 2).

Furthermore, to exclude the possibility that some of the observed associations between height and rare/low-frequency variants could be due to allele calling problems in the smaller studies, we performed a sensitivity meta-analysis with primarily Europe-ancestry studies totaling >5,000 participants. We found very concordant effect sizes, suggesting that smaller studies do not bias our results (Extended Data Fig. 2).

Conditional analyses

The RAREMETAL R-package³⁵ and the GCTA v1.24³⁶ software were used to identify independent height association signals across the European descent meta-analysis results. RAREMETAL performs conditional analyses by using covariance matrices in order to distinguish true signals from those driven by LD at adjacent known variants. First, we identified the lead variants (P<2×10^-7) based on a 1 Mb window centered on the most significantly associated variant and performed LD pruning (r²<0.3) to avoid downstream problems in the conditional analyses due to co-linearity. We then conditioned on the LD-pruned set of lead variants in RAREMETAL and kept new lead signals at P<2×10^-7. The process was repeated until no additional signal emerged below the pre-specified P-value threshold. The use of a 1 Mb window in RAREMETAL can obscure dependence between conditional signals in adjacent intervals in regions of extended LD. To detect such instances, we performed joint analyses using GCTA with the ARIC and UK ExomeChip reference panels, both of which comprise >10,000 individuals of European descent. With the exception of a handful of variants in a few genomic regions with extended LD (e.g. the HLA region on chromosome 6), the two software identified the same independent signals (at P<2×10^-7).

To discover new height variants, we conditioned the height variants found in our ExomeChip study on the previously published GWAS height variants³ using the first release of the UK Biobank imputed dataset and regression methodology implemented in BOLT-LMM³⁷. Because of the difference between the sample size of our discovery set (N=458,927) and the UK Biobank (first release, N=120,084), we applied a threshold of P_conditional<0.05 to declare a height variant as independent in this analysis. We also explored an alternative approach based on approximate conditional analysis³⁶. This latter method (SSimp) relies on summary statistics available from the same cohort, thus we first imputed summary statistics³⁸ for exome variants, using summary statistics from the Wood et al. 2014 study³. Conversely, we imputed the top variants from the Wood et al. 2014 study using the summary statistics from the ExomeChip. Subsequently, we calculated effect sizes for each exome variant conditioned on the Wood et al. 2014 top variants in two ways. First, we conditioned the imputed summary statistics of the exome variant on the summary statistics of the Wood et al. 2014 top variants that fell within 5 Mb of the target ExomeChip variant. Second, we conditioned the summary statistics of the ExomeChip variant on the imputed summary statistics of the Wood et al. 2014 hits. We then selected the option that yielded a higher imputation quality. For poorly tagged variants (r̂² < 0.8), we simply used up-sampled HapMap summary statistics for the approximate conditional analysis. Pairwise SNP-by-SNP correlations were estimated from the UK10K data (TwinsUK³⁹ and ALSPAC⁴⁰ studies, N=3,781).

Validation of the single-variant discovery results

Several studies, totaling 252,501 independent individuals of European ancestry, became available after the completion of the discovery analyses, and were thus used for validation of our experiment. We validated the single-variant association results in eight studies, totaling 59,804 participants, genotyped on the Exomechip using RAREMETAL³². We sought additional evidence for association for the top signals in two independent studies in the UK (UK Biobank) and Iceland (deCODE), comprising 120,084 and 72,613 individuals, respectively. We used the same QC and analytical methodology as described above. Genotyping and study descriptives are provided in Supplementary Tables 1-3. For the combined analysis, we used the inverse-variance weighted fixed effects meta-analysis method using METAL⁴¹. Significant associations were defined as those with a combined meta-analysis (discovery and validation) P_combined<2×10^-7.

We considered 81 variants with suggestive association in the discovery analyses (2×10^-7<P_discovery≤2×10^-6). Of those 81 variants, 55 reached significance after combining discovery and replication results based on P_combined<2×10^-7 (Supplementary Table 9). Furthermore, recessive modeling confirmed seven new independent markers with P_combined<2×10^-7 (Supplementary Table 10). One of these recessive signals is due to a rare X-linked variant in the AR gene (rs137852591, MAF=0.21%). Because of its frequency, we only tested hemizygous men (we did not identify homozygous women for the minor allele) so we cannot distinguish between a true recessive mode of inheritance or a sex-specific effect for this variant. To test the independence and integrate all height markers from the discovery and validation phase, we used conditional analyses and GCTA “joint” modeling³⁶ in the combined discovery and validation set. This resulted in the identification of 606 independent height variants, including 252 non-synonymous or splice site variants (Supplementary Table 11). If we only consider the initial set of lead SNPs with P<2×10^-7, we identified 561 independent variants. Of these 561 variants (selected without the validation studies), 560 have concordant direction of effect between the discovery and validation studies, and 548 variants have a P_validation<0.05 (466 variants with P_validation<8.9×10^-5, Bonferroni correction for 561 tests), suggesting a very low false discovery rate (Supplementary Table 11).

Gene-based association meta-analyses

For the gene-based analyses, we applied two different sets of criteria to select variants, based on coding variant annotation from five prediction algorithms (PolyPhen2 HumDiv and HumVar, LRT, Mutation Taster and SIFT)⁴². The mask labeled “broad” included variants with a MAF <0.05 that are nonsense, stop-loss, splice site, as well as missense variants that are annotated as damaging by at least one program mentioned above. The mask labeled “strict” included only variants with MAF <0.05 that are nonsense, stop-loss, splice site, as well as missense variants annotated as damaging by all five algorithms. We used two tests for gene-based testing, namely the SKAT⁴³ and VT⁴⁴ tests. Statistical significance for gene-based tests was set at a Bonferroni-corrected threshold of P<5×10^-7 (threshold for 25,000 genes and four tests). The gene-based discovery results were validated (same test and variants, when possible) in the same eight studies genotyped on the ExomeChip (N=59,804 participants) that were used for the validation of the single-variant results (see above, and Supplementary Tables 1-3). Gene-based conditional analyses were performed in RAREMETAL.

Pleiotropy analyses

We accessed ExomeChip data from GIANT (BMI, waist-hip ratio), GLGC (total cholesterol (TC), triglycerides (TG), HDL-cholesterol (HDL-C), LDL-cholesterol (LDL-C)), IBPC (systolic and diastolic blood pressure), MAGIC (glycaemic traits), REPROGEN (age at menarche and menopause), and DIAGRAM (type 2 diabetes). For coronary artery disease, we accessed 1000 Genomes Project-imputed GWAS data released by CARDIoGRAMplusC4D⁴⁵.

Pathway analyses

DEPICT is a computational framework that uses probabilistically-defined reconstituted gene sets to perform gene set enrichment and gene prioritization¹⁵. For a description about gene set reconstitution please refer to references ^{15 and 46}. In brief, reconstitution was performed by extending pre-defined gene sets (such as Gene Ontology terms, canonical pathways, protein-protein interaction subnetworks and rodent phenotypes) with genes co-regulated with genes in these pre-defined gene set using large-scale microarray-based transcriptomics data. In order to adapt the gene set enrichment part of DEPICT for ExomeChip data, we made two principal changes. First and foremost, because DEPICT for GWAS incorporates all genes within a given LD block around each index SNP, we modified DEPICT to take as input only the gene directly impacted by the coding SNP. Second, we adapted the way DEPICT adjust for confounders (such as gene length) by generating null ExomeChip association results using Swedish ExomeChip data (Malmö Diet and Cancer (MDC), All New Diabetics in Scania (ANDIS), and Scania Diabetes Registry (SDR) cohorts, N=11,899) and randomly assigning phenotypes from a normal distribution before conducting association analysis (see Supplementary Information). For the gene set enrichment analysis of the ExomeChip data, we used significant non-synonymous variants statistically independent of known GWAS hits (and that were present in the null ExomeChip data; see Supplementary Information for details). For gene set enrichment analysis of the GWAS data, we used all loci (1) with a non-coding index SNP and (2) that did not contain any of the novel ExomeChip genes. In visualizing the analysis, we used affinity propagation clustering⁴⁷ to group the most similar reconstituted gene sets based on their gene memberships (see Supplementary Information). Within a “meta-gene set”, the best P-value of any member gene set was used as representative for comparison. DEPICT for ExomeChip was written using the Python programming language and the code can be found at https://github.com/RebeccaFine/height-ec-depict.

We also applied the PASCAL pathway analysis tool¹⁶ to association summary statistics for all coding variants. In brief, the method derives gene-based scores (both SUM and MAX statistics) and subsequently tests for the over-representation of high gene scores in predefined biological pathways. We used standard pathway libraries from KEGG, REACTOME and BIOCARTA, and also added dichotomized (Z-score>3) reconstituted gene sets from DEPICT¹⁵. To accurately estimate SNP-by-SNP correlations even for rare variants, we used the UK10K data (TwinsUK³⁹ and ALSPAC⁴⁰ studies, N=3781). In order to separate the contribution of regulatory variants from the coding variants, we also applied PASCAL to association summary statistics of only regulatory variants (20 kb upstream, gene body excluded) from the Wood et al. study³. In this way, we could classify pathways driven principally by coding, regulatory or mixed signals.

STC2 functional experiments

Mutagenesis, cell culture and transfection

For the generation of STC2 mutants (R44L and M86I), wild-type STC2 cDNA contained in pcDNA3.1/Myc-His(-) (Invitrogen)²³ was used as a template. Mutagenesis was carried out using Quickchange (Stratagene), and all constructs were verified by sequence analysis. Recombinant wild-type STC2 and variants were expressed in human embryonic kidney (HEK) 293T cells (293tsA1609neo, ATCC CRL-3216) maintained in high-glucose DMEM supplemented 10% fetal bovine serum, 2 mM glutamine, nonessential amino acids, and gentamicin. The cells are routinely tested for mycoplasma contamination. Cells (6×10⁶) were plated onto 10 cm-dishes and transfected 18 h later by calcium phosphate coprecipitation using 10 μg plasmid DNA. Media were harvested 48 h post transfection, cleared by centrifugation, and stored at -20°C until use. Protein concentrations (58-66 nM) were determined by TRIFMA using antibodies described previously²³. PAPP-A was expressed stably in HEK293T cells as previously reported⁴⁸. Expressed levels of PAPP-A (27.5 nM) were determined by a commercial ELISA (AL-101, Ansh Labs, TX).

STC2 and PAPP-A complex formation

Culture supernatants containing wild-type STC2 or variants were adjusted to 58 nM, added an equal volume of culture supernatant containing PAPP-A corresponding to a 2.1-fold molar excess, and incubated at 37°C. Samples were taken at 1, 2, 4, 6, 8, 16, and 24 h and stored at -20°C.

Analysis of proteolytic activity

Specific proteolytic cleavage of ¹²⁵I-labeled IGFBP-4 is described in detail elsewhere⁴⁹. Briefly, the PAPP-A:STC2 complex mixtures were diluted (1:190) to a concentration of 145 pM PAPP-A and mixed with preincubated ¹²⁵I-IGFBP4 (10 nM) and IGF-1 (100 nM) in 50 mM Tris-HCl, 100 mM NaCl, 1 mM CaCl₂. Following 1 h incubation at 37°C, reactions were terminated by the addition of SDS-PAGE sample buffer supplemented with 25 mM EDTA. Substrate and co-migrating cleavage products were separated by 12% nonreducing SDS-PAGE and visualized by autoradiography using a storage phosphor screen (GE Healthcare) and a Typhoon imaging system (GE Healthcare). Band intensities were quantified using ImageQuant TL 8.1 software (GE Healthcare).

Western blotting

STC2 and covalent complexes between STC2 and PAPP-A were blotted onto PVDF membranes (Millipore) following separation by 3-8% SDS-PAGE. The membranes were blocked with 2% Tween-20, and equilibrated in 50 mM Tris-HCl, 500 mM NaCl, 0.1% Tween-20, pH 9 (TST). For STC2, the membranes were incubated with goat polyclonal anti-STC2 (R&D systems, AF2830) at 0.5 μg/ml in TST supplemented with 2% skim milk for 1 h at 20°C. For PAPP-A:STC2 complexes, the membranes were incubated with rabbit polyclonal anti-PAPP-A⁵⁰ at 0.63 μg/ml in TST supplemented with 2% skim milk for 16 h at 20°C. Membranes were washed with TST and subsequently incubated with polyclonal swine anti-rabbit IgG-HRP (DAKO, P0217) or polyclonal rabbit anti-goat IgG-HRP (DAKO, P0449), respectively, diluted 1:2000 in TST supplemented with 2% skim milk for 1 h at 20°C. Following washing with TST, membranes were developed using enhanced chemiluminescence (ECL Prime, GE Healthcare). Images were captured using an ImageQuant LAS 4000 instrument (GE Healthcare).

Data Availability Statement

Summary genetic association results are available on the GIANT website: http://portals.broadinstitute.org/collaboration/giant/index.php/GIANT_consortium.

URLs

ClinVar, http://www.ncbi.nlm.nih.gov/clinvar/

DEPICT, http://www.broadinstitute.org/mpg/depict/

ExomeChip, http://genome.sph.umich.edu/wiki/Exome_Chip_Design

ExomeDEPICT, https://github.com/RebeccaFine/height-ec-depict

OMIM, http://omim.org/

PASCAL, http://www2.unil.ch/cbg/index.php?title=Pascal

RAREMETALWORKER, http://genome.sph.umich.edu/wiki/RAREMETALWORKER

RVTEST, http://zhanxw.github.io/rvtests/

Extended Data

Extended Data Figure 1.

Flowchart of the GIANT ExomeChip height study design.

Extended Data Figure 2.

Height ExomeChip association results. (A) Quantile-quantile plot of ExomeChip variants and their association to adult height under an additive genetic model in individuals of European ancestry. We stratified results based on allele frequency. (B) Manhattan plot of all ExomeChip variants and their association to adult height under an additive genetic model in individuals of European ancestry with a focus on the 553 independent SNPs, of which 469 have MAF>5% (grey), 55 have MAF between 1 and 5% (green), and 29 have MAF<1% (blue). (C) Linkage disequilibrium (LD) score regression analysis for the height association results in European-ancestry studies. In the plot, each point represents an LD Score quantile, where the x-axis of the point is the mean LD Score of variants in that quantile and the y-axis is the mean χ² statistic of variants in that quantile. The LD Score regression slope of the black line is calculated based on Equation 1 in Bulik-Sullivan et al.³⁰ which is estimated upwards due to the small number of common variants (N=15,848) and the design of the ExomeChip. The LD score regression intercept is 1.4, the λ_GC is 2.7, the mean χ² is 7.0, and the ratio statistic of (intercept -1) / (mean χ² -1) is 0.067 (standard error=0.012). (D) Scatter plot comparison of the effect sizes for all variants that reached significance in the European-ancestry discovery results (N=381,625) and results including only studies with sample sizes >5000 individuals (N=241,453).

Extended Data Figure 3.

Height ExomeChip association results in African-ancestry populations. Among the all-ancestry results, we found eight variants for which the genetic association with height is mostly driven by individuals of African ancestry. The minor allele frequency of these variants is <1% (or monomorphic) in all ancestries except African-ancestry individuals. In individuals of African ancestry, the variants had allele frequencies between 9 and 40%.

Extended Data Figure 4.

Concordance between direct conditional effect sizes using UK Biobank (x-axis) and conditional analysis performed using a combination of imputation-based methodology and approximate conditional analysis (SSimp, y-axis). The Pearson's correlation coefficient is r=0.85. The dashed line indicates the identity line. The 95% confidence interval is indicated in both directions. Red, SNPs with P_cond>0.05 in the UK Biobank; Green, SNPs with P_cond≤0.05 in the UK Biobank.

Extended Data Figure 5.

Heritability estimated for all known height variants in the first release of the UK Biobank dataset. (A) We observed a weak but significant positive trend between minor allele frequency (MAF) and heritability explained (P=0.012). (B) Average heritability explained per variant when stratifying the analyses by allele frequency or genomic annotation. For heritability estimations in UKBB, variants were pruned to r²< 0.2 in the 1000 Genomes Project data set, and the heritability figures are based on h²=80% for height.

Extended Data Figure 6.

Comparison of DEPICT gene set enrichment results based on coding variation from ExomeChip (EC) or non-coding variation from genome-wide association study data (GWAS). The x-axis indicates the P-value for enrichment of a given gene set using DEPICT adapted for EC data, where the input to DEPICT is the genes implicated by coding EC variants that are independent of known GWAS signals. The y-axis indicates the P-value for gene set enrichment using DEPICT, using as input the GWAS loci that do not overlap the coding signals. Each point represents a meta-gene set, and the best P-value for any gene set within the meta-gene set is shown. Only significant (false discovery rate < 0.01) gene set enrichment results are plotted. Colors correspond to whether the meta-gene set was significant for EC only (blue), GWAS only (green), both but more significant for EC (purple), or both but more significant for GWAS (orange), and the most significant gene sets within each category are labeled. A line is drawn at x = y for ease of comparison.

Extended Data Figure 7.

Heat map showing entire DEPICT gene set enrichment results (analogous to Fig. 2 in the main text). For any given square, the color indicates how strongly the corresponding gene (shown on the x-axis) is predicted to belong to the reconstituted gene set (y-axis). This value is based on the gene's Z-score for gene set inclusion in DEPICT's reconstituted gene sets, where red indicates a higher Z-score and blue indicates a lower one. The proteoglycan binding pathway was uniquely implicated by coding variants (as opposed to common variants) by both DEPICT and the Pascal method. To visually reduce redundancy and increase clarity, we chose one representative “meta-gene set” for each group of highly correlated gene sets based on affinity propagation clustering (see Methods and Supplementary Information). Heat map intensity and DEPICT p-values correspond to the most significantly enriched gene set within the meta-gene set; meta-gene sets are listed with their database source. Annotations for the genes indicate whether the gene has OMIM annotation as underlying a disorder of skeletal growth (black and grey) and the minor allele frequency of the significant EC variant (shades of blue; if multiple variants, the lowest-frequency variant was kept). Annotations for the gene sets indicate if the gene set was also found significant for EC by the Pascal method (yellow and grey) and if the gene set was found significant by DEPICT for EC only or for both EC and GWAS (purple and green). Abbreviations: GO: Gene Ontology; KEGG: Kyoto encyclopedia of genes and genomes; MP: mouse phenotype in the Mouse Genetics Initiative; PPI: protein-protein interaction in the InWeb database.

Extended Data Figure 8.

Heatmaps showing associations of the height variants to other complex traits; −log10(P-values) are oriented with beta effect direction for the alternate allele, white are missing values, yellow are non-significant (P>0.05), green to blue shading for hits with positive beta in the other trait and P-values between 0.05 and <2×10^-7 and, orange to red shading for hits with negative beta in the other trait and P-values between 0.05 to <2×10^-7. Short and tall labels are given for the minor alleles. Clustering is done by the complete linkage method with Euclidean distance measure for the loci. Clusters highlight SNPs that are more significantly associated with the same set of traits. (A) Variants for which the minor allele is the height-decreasing allele. (B) Variants for which the minor allele is the height-increasing allele.

Extended Data Table 1.

Rare variants associated with adult height.32 missense or splice site variants with minor allele frequency <1% in European-ancestry participants that have P_combined<2×10^-7. The direction of the effect (Beta, standard deviation units) and effect allele frequency (AF) is given for the alternate (Alt) allele. Genomic coordinates are on build 37 of the human genome. For each variant, we provide the most severe annotation using the ENSEMBL Variant Effect Predictor (VEP) tool. N, sample size; Ref, reference allele; SE, standard error.

					Discovery (N up to 381,625)				Validation (N up to 252,501)				Combined (N up to 634,126)
Variant	Chr:Pos	Ref/Alt	Gene	Annotation	AF	Beta	SE	P-value	AF	Beta	SE	P-value	AF	Beta	SE	P-value
rsl50341307	1:32673514	G/C	IQCC	missense	0.002	-0.141	0.026	7.92E-08	0.004	-0.116	0.025	3.83E-06	0.003	-0.128	0.018	1.34E-12
rsl43365597	1:41540902	G/A	SCMH1	missense	0.004	0.188	0.018	1.58E-25	0.006	0.169	0.024	9.42E-13	0.005	0.181	0.014	1.35E-36
rsl14233776	1:41618297	G/A	SCMH1	missense	0.006	-0.119	0.015	1.92E-15	0.006	-0.11	0.019	1.32E-08	0.006	-0.116	0.012	1.80E-22
rs145659444	1:149902342	C/T	MTMR11	missense	0.007	0.067	0.015	4.16E-06	0.006	0.083	0.019	7.11E-06	0.007	0.073	0.012	3.03E-10
rs144712473	1:183495812	A/G	SMG7	missense	0.006	-0.094	0.014	4.97E-11	0.008	-0.067	0.017	8.94E-05	0.007	-0.083	0.011	1.61E-14
rs144673025	1:223178026	T/C	DISP1	missense	0.008	-0.078	0.013	1.11E-09	0.007	-0.086	0.018	1.22E-06	0.008	-0.081	0.011	1.27E-14
rs142036701	2:219924961	G/T	IHH	missense	0.001	-0.32	0.04	1.09E-15	0.003	-0.263	0.043	1.48E-09	0.002	-0.294	0.029	1.85E-23
rsl47445258	2:220078652	C/T	ABCB6	missense	0.01	-0.086	0.012	3.43E-13	0.009	-0.064	0.018	4.40E-04	0.01	-0.079	0.01	2.47E-15
rsl21434601	3:46939587	C/T	PTH1R	missense	0.003	0.154	0.023	1.30E-11	0.003	0.192	0.031	5.48E-10	0.003	0.168	0.019	1.14E-19
rsl41374503	4:73179445	C/T	ADAMTS3	missense	0.003	-0.119	0.021	1.82E-08	0.004	-0.089	0.023	1.32E-04	0.004	-0.106	0.016	1.30E-11
rsl49385790	4:120422407	T/G	PDE5A	missense	0.001	0.257	0.031	7.50E-17	0.005	0.19	0.033	1.28E-08	0.003	0.226	0.023	2.65E-23
rsl46301345	5:32784907	G/A	NPR3	missense	0.003	0.128	0.022	1.05E-08	0.002	0.166	0.035	1.78E-06	0.003	0.139	0.019	7.91E-14
rs61736454	5:64766798	G/A	ADAMTS6	missense	0.002	-0.152	0.026	7.82E-09	0.002	-0.182	0.032	1.37E-08	0.002	-0.164	0.02	4.80E-16
rs78727187	5:127668685	G/T	FBN2	missense	0.006	0.183	0.015	2.47E-33	0.006	0.181	0.02	5.06E-20	0.006	0.182	0.012	1.47E-52
rsl48833559	5:172755066	C/A	STC2	missense	0.001	0.29	0.037	5.69E-15	0.001	0.368	0.043	1.32E-17	0.001	0.323	0.028	1.15E-30
rsl48543891	6:155450779	A/G	TIAM2	missense	0.003	-0.124	0.022	1.45E-08	0.001	-0.016	0.082	8.50E-01	0.003	-0.117	0.021	3.96E-08
rs41511151	7:73482987	G/A	ELN	missense	0.004	-0.086	0.018	2.63E-06	0.007	-0.061	0.019	1.51E-03	0.006	-0.074	0.013	2.31E-08
rsl12892337	8:135614553	G/C	ZFAT	missense	0.004	0.196	0.019	4.42E-26	0.004	0.184	0.024	1.20E-14	0.004	0.191	0.015	6.12E-38
rs75596750	8:135622851	G/A	ZFAT	missense	0.001	0.255	0.036	1.54E-12	0.002	0.339	0.039	5.94E-18	0.002	0.293	0.027	2.05E-28
rsl38273386	11:27016360	G/A	FIBIN	missense	0.004	-0.12	0.017	5.79E-12	0.005	-0.076	0.024	1.56E-03	0.004	-0.105	0.014	3.26E-14
rsl38059525	11:94533444	G/A	AMOTL1	missense	0.009	-0.096	0.012	9.01E-16	0.007	-0.089	0.017	3.84E-07	0.008	-0.094	0.01	2.84E-21
rsl47996581	12:58138971	G/A	TSPAN31	missense	0.003	-0.116	0.022	8.26E-08	0.001	-0.268	0.09	2.85E-03	0.003	-0.125	0.021	5.50E-09
rsl3141	12:121756084	G/A	ANAPC5	missense	0.009	-0.082	0.012	1.09E-11	0.011	-0.105	0.016	1.44E-11	0.01	-0.091	0.01	1.45E-21
rsl50494621	15:44153571	C/T	WDR76	missense	0.008	0.063	0.013	1.56E-06	0.014	0.054	0.015	3.42E-04	0.011	0.059	0.01	2.32E-09
rsl41308595	15:89424870	G/T	HAPLN3	missense	0.001	-0.267	0.037	2.84E-13	0.002	-0.234	0.035	2.43E-11	0.002	-0.25	0.025	1.02E-22
rs141923065	16:31474091	A/G	ARMC5	splice acceptor	0.006	0.104	0.015	5.88E-12	0.013	0.057	0.018	1.16E-03	0.009	0.084	0.011	1.62E-13
rs34667348	16:47684830	C/A	PHKB	missense	0.005	0.121	0.016	3.96E-14	0.005	0.033	0.020	1.04E-01	0.005	0.088	0.013	3.43E-12
rsl40385822	16:67470505	G/A	HSD11B2	missense	0.002	-0.148	0.028	1.27E-07	0.002	-0.124	0.035	3.38E-04	0.002	-0.139	0.022	1.97E-10
rsl49615348	16:84900645	G/A	CRISPLD2	missense	0.007	-0.095	0.014	9.13E-12	0.008	-0.098	0.017	4.34E-09	0.008	-0.096	0.011	2.92E-19
rsl48934412	16:84902472	G/A	CRISPLD2	missense	0.001	-0.297	0.04	7.75E-14	0.001	-0.317	0.058	3.49E-08	0.001	-0.304	0.033	2.36E-20
rs201226914	16:88798919	G/T	PIEZOl	missense	0.002	-0.187	0.027	5.27E-12	0.002	-0.241	0.043	1.99E-08	0.002	-0.202	0.023	8.68E-19
rsl37852591	23:66941751	C/G	AR	missense	0.002	-0.304	0.061	7.05E-07	0.008	-0.333	0.058	7.12E-09	0.005	-0.319	0.042	2.67E-14

Extended Data Table 2.

Low-frequency variants associated with adult height.59 variants (51 missense or nonsense) with minor allele frequency between 1 and 5% in European-ancestry participants that have P_combined<2×10^-7. For TTN-rs16866412 and NOL8-rs921122, the association is significant (P<2×10^-7) upon conditional analysis. The direction of the effect (Beta, standard deviation units) and effect allele frequency (AF) is given for the alternate (Alt) allele. For each variant, we provide the most severe annotation using the ENSEMBL Variant Effect Predictor (VEP) tool. N, sample size; Ref, reference allele; SE, standard error

					Discovery (N up to 381,625)				Validation (N up to 252,501)				Combined N up to 634,126)
Variant	Chr:Pos	Ref/Alt	Gene	Annotation	AF	Beta	SE	P-value	AF	Beta	SE	P-value	AF	Beta	SE	P-value
rs41292521	1:51873967	G/A	EPS15	missense	0.020	0.045	0.008	5.07E-08	0.023	0.065	0.010	7.60E-11	0.021	0.053	0.006	2.56E-17
rs61730011	1:119427467	A/C	TBX15	missense	0.042	-0.059	0.006	1.61E-24	0.046	-0.056	0.007	4.19E-15	0.044	-0.058	0.005	2.79E-36
rsl1580946	1:150551327	G/A	MCLl	missense	0.014	0.061	0.010	2.16E-09	0.015	0.085	0.012	7.86E-12	0.015	0.070	0.008	1.55E-19
rs141845046	1:154987704	c/t	ZBTB7B	missense	0.028	0.058	0.007	7.30E-17	0.025	0.061	0.010	4.46E-10	0.027	0.059	0.006	3.46E-25
rs79485039	1:180886140	C/T	KIAA1614	missense	0.026	0.034	0.007	1.41E-06	0.031	0.030	0.009	4.51E-04	0.028	0.033	0.006	2.63E-09
rs52826764	2:20205541	C/T	MATN3	missense	0.026	-0.071	0.007	2.67E-23	0.028	-0.084	0.010	6.60E-19	0.027	-0.076	0.006	3.74E-41
rs16859517	2:219949184	C/T	NHEJ1	intron	0.036	0.059	0.006	5.96E-21	0.036	0.064	0.008	1.12E-15	0.036	0.061	0.005	8.20E-37
rsl6866412	2:179474668	G/A	TTN	missense	0.013	-0.053	0.010	1.35E-07	0.010	-0.019	0.015	2.15E-01	0.012	-0.042	0.008	3.44E-07
rs7571816	2:233077064	A/G	DIS3L2	intron	0.025	-0.060	0.007	2.35E-16	0.023	-0.079	0.010	2.58E-15	0.024	-0.066	0.006	6.46E-31
rs2229089	3:14214524	G/A	XPC	missense	0.031	-0.038	0.007	1.22E-08	0.035	-0.020	0.008	1.68E-02	0.033	-0.030	0.005	1.29E-08
rs76208147	3:47162886	C/T	SETD2	missense	0.019	0.048	0.009	2.24E-08	0.016	0.062	0.012	2.22E-07	0.018	0.053	0.007	1.65E-13
rs35713889	3:49162583	C/T	LAMB2	missense	0.039	0.043	0.006	3.28E-12	0.045	0.060	0.007	1.33E-16	0.041	0.050	0.005	3.49E-27
rs9838238	3:98600385	T/C	DCBLD2	missense	0.047	0.029	0.005	1.23E-07	0.051	0.027	0.007	5.62E-05	0.048	0.028	0.004	1.68E-12
rs11722554	4:5016883	G/A	CYTL1	missense	0.040	-0.049	0.006	2.01E-17	0.034	-0.057	0.009	6.68E-11	0.038	-0.052	0.005	1.86E-25
rs61730641	4:87730980	C/T	PTPN13	missense	0.015	-0.086	0.010	1.94E-19	0.016	-0.094	0.012	1.38E-15	0.016	-0.089	0.008	9.43E-32
rs116807401	4:135121721	T/C	PABPC4L	missense	0.017	0.065	0.009	1.39E-13	0.016	0.045	0.012	1.33E-04	0.017	0.058	0.007	7.54E-16
rs28925904	4:144359490	C/T	GAB1	missense	0.019	-0.048	0.008	1.04E-08	0.023	-0.036	0.010	3.24E-04	0.021	-0.043	0.006	4.29E-12
rs34343821	4:154557616	C/T	KIAA0922	missense	0.011	0.059	0.011	7.75E-08	0.015	0.056	0.012	5.75E-06	0.013	0.058	0.008	2.18E-12
rs35658696	5:102338811	A/G	PAM	missense	0.048	-0.025	0.005	3.76E-06	0.053	-0.031	0.007	8.47E-06	0.050	-0.027	0.004	1.63E-10
rs34821177	5:126250812	C/T	MARCH3	missense	0.036	0.034	0.006	4.25E-08	0.029	0.027	0.009	2.45E-03	0.034	0.032	0.005	1.67E-10
rs62623707	5:135288632	A/G	LECT2	missense	0.044	-0.030	0.006	1.02E-07	0.049	-0.024	0.007	4.77E-04	0.046	-0.027	0.005	1.36E-09
rs34471628	5:172196752	A/G	DUSP1	missense	0.036	0.048	0.006	4.00E-14	0.042	0.036	0.007	1.26E-06	0.039	0.043	0.005	1.93E-20
rs28932177	5:176637471	G/A	NSD1	missense	0.028	0.063	0.007	2.38E-17	0.027	0.065	0.009	2.62E-12	0.028	0.064	0.006	4.27E-30
rs78247455	5:176722005	G/A	NSD]	missense	0.023	-0.083	0.008	1.86E-26	0.025	-0.085	0.010	8.42E-18	0.024	-0.084	0.006	2.32E-41
rs7757648	6:30851933	G/A	DDRI	intron	0.013	-0.075	0.013	1.11E-08	0.011	-0.079	0.018	1.24E-05	0.012	-0.076	0.011	4.64E-13
rs34427075	6:34730395	C/T	SNRPC	synonymous	0.014	-0.117	0.010	9.21E-33	0.016	-0.139	0.012	9.59E-31	0.015	-0.126	0.008	3.45E-60
rs33966734	6:41903798	C/A	CCND3	stop sained	0.013	-0.140	0.017	5.51E-17	0.011	-0.101	0.018	3.41E-08	0.012	-0.122	0.012	1.28E-22
rs17277546	7:99489571	G/A	TRIM4	3′UTR	0.049	0.034	0.005	3.28E-10	0.052	0.038	0.007	2.26E-07	0.050	0.035	0.004	1.40E-17
rs7636	7:100490077	G/A	ACHE	synonymous	0.043	-0.037	0.006	8.59E-10	0.035	-0.019	0.009	2.92E-02	0.040	-0.031	0.005	2.98E-10
rsl7480616	7:135123060	G/C	CNOT4	missense	0.028	0.060	0.007	2.31E-17	0.030	0.054	0.009	5.04E-10	0.029	0.058	0.005	3.90E-26
rs3136797	8:42226805	C/G	POLB	missense	0.018	0.044	0.009	1.95E-06	0.021	0.026	0.010	1.30E-02	0.019	0.036	0.007	1.88E-07
rs11575580	9:34660864	C/T	ILURA	missense	0.016	-0.064	0.009	5.20E-13	0.020	-0.030	0.011	4.42E-03	0.018	-0.050	0.007	4.01E-13
rs921122	9:95063947	C/T	NOL8	missense	0.039	0.041	0.009	2.56E-06	0.040	0.018	0.008	3.45E-02	0.040	0.029	0.006	3.33E-06
rs41274586	10:79580976	G/A	DLG5	missense	0.017	-0.058	0.009	2.72E-11	0.017	-0.076	0.012	5.15E-11	0.017	-0.065	0.007	7.66E-20
rs41291604	10:97919011	A/G	ZNF518A	missense	0.040	0.031	0.006	9.94E-08	0.040	0.022	0.008	3.05E-03	0.040	0.028	0.005	3.91E-09
rs71455793	11:65715204	G/A	TSGAJOIP	missense	0.039	-0.058	0.006	1.82E-21	0.046	-0.072	0.007	1.41E-23	0.042	-0.064	0.005	1.52E-43
rs4072796	12:7548996	C/G	CD163L1	missense	0.035	0.034	0.006	4.11E-08	0.037	0.015	0.008	6.68E-02	0.036	0.027	0.005	1.87E-08
rs61743810	12:69140339	G/C	SLC35E3	missense	0.022	-0.047	0.008	1.13E-09	0.023	-0.036	0.010	5.UE-04	0.022	-0.043	0.006	1.29E-11
rs117801489	12:104408832	T/C	GLT8D2	missense	0.017	0.053	0.009	8.72E-10	0.028	0.062	0.010	5.82E-10	0.022	0.057	0.007	1.60E-17
rs2066674	13:50842259	G/A	DLEU1	intron	0.044	0.073	0.006	2.33E-37	0.041	0.084	0.008	7.02E-25	0.043	0.077	0.005	5.66E-57
rsl7880989	14:23313633	G/A	MMP14	missense	0.027	0.041	0.007	1.72E-08	0.029	0.052	0.009	7.81E-09	0.028	0.045	0.006	3.27E-16
rs34354104	14:24707479	G/A	GMPR2	missense	0.048	0.045	0.005	3.67E-16	0.050	0.047	0.007	1.34E-11	0.049	0.046	0.004	2.13E-29
rs117295933	14:45403699	C/A	KLHL28	missense	0.016	-0.045	0.009	1.55E-06	0.025	-0.036	0.010	4.13E-04	0.020	-0.041	0.007	3.05E-09
rs41286548	14:70633411	C/T	SLC8A3	missense	0.021	-0.054	0.008	2.49E-11	0.026	-0.045	0.009	2.02E-06	0.023	-0.050	0.006	2.03E-16
rs28929474	14:94844947	C/T	SERPINA1	missense	0.018	0.124	0.009	1.39E-45	0.019	0.139	0.011	2.50E-34	0.019	0.130	0.007	1.72E-75
rs41286560	14:101349454	G/T	RTL1	missense	0.024	-0.050	0.007	1.17E-11	0.028	-0.033	0.009	2.12E-04	0.026	-0.044	0.006	2.50E-15
rs116858574	15:34520687	T/C	EMC4	missense	0.014	0.047	0.010	1.16E-06	0.014	0.028	0.012	2.19E-02	0.014	0.040	0.008	1.60E-07
rs34815962	15:72462255	C/T	GRAMD2	missense	0.019	0.073	0.009	8.72E-17	0.023	0.074	0.010	3.66E-13	0.021	0.073	0.007	1.28E-27
rs16942341	15:89388905	C/T	AC AN	synonymous	0.026	-0.129	0.007	4.30E-72	0.028	-0.146	0.009	1.08E-56	0.027	-0.135	0.006	3.79E-130
rs61733564	16:4812705	A/G	ZNF500	missense	0.032	0.056	0.007	8.61E-17	0.032	0.044	0.009	2.34E-07	0.032	0.051	0.005	2.89E-21
rsl13388806	16:24804954	A/T	TNRC6A	missense	0.040	0.036	0.006	1.08E-09	0.047	0.041	0.008	1.65E-07	0.043	0.038	0.005	1.90E-15
rs8052655	16:67409180	G/A	LRRC36	missense	0.043	-0.054	0.006	1.08E-18	0.043	-0.055	0.008	3.91E-13	0.043	-0.054	0.005	6.40E-31
rs77542162	17:67081278	A/G	ABCA6	missense	0.017	0.049	0.010	2.17E-06	0.023	0.051	0.010	5.58E-07	0.020	0.050	0.007	5.57E-12
rs77169818	18:74980601	A/T	GALRl	missense	0.047	-0.048	0.006	3.60E-18	0.038	-0.035	0.008	3.64E-05	0.044	-0.044	0.005	5.11E-19
rs3208856	19:45296806	C/T	CBLC	missense	0.034	0.036	0.007	1.48E-07	0.034	0.021	0.008	1.19E-02	0.034	0.030	0.005	2.96E-08
rs4252548	19:55879672	C/T	IL11	missense	0.026	-0.114	0.007	1.02E-57	0.022	-0.101	0.010	2.28E-23	0.025	-0.110	0.006	5.32E-81
rs147110934	19:55993436	G/T	ZNF628	missense	0.021	-0.084	0.010	2.28E-18	0.022	-0.098	0.011	1.17E-18	0.022	-0.090	0.007	6.33E-34
rs77885044	22:28501414	C/T	TTC28	missense	0.012	-0.067	0.010	9.47E-11	0.017	-0.069	0.012	3.24E-09	0.014	-0.068	0.008	3.93E-19
rs147348682	22:42095658	T/G	MEII	missense	0.025	0.041	0.007	2.25E-08	0.034	0.024	0.009	6.59E-03	0.029	0.034	0.006	3.70E-10