Mapping associations of polygenic scores with autistic and ADHD traits in a single city region

Background: The genetic and environmental aetiology of autistic and Attention Deﬁcit Hyperactivity Disorder (ADHD) traits is known to vary spatially, but does this translate into variation in the association of speciﬁc common genetic variants? Methods: We mapped associations between polygenic scores for autism and ADHD and their respective traits in the Avon Longitudinal Study of Parents and Children ( N = 4,255 – 6,165) across the area surrounding Bristol, UK, and compared them to maps of environments associated with the prevalence of autism and ADHD. Results: Our results suggest genetic associations vary spatially, with consistent patterns for autistic traits across polygenic scores constructed at different p -value thresholds. Patterns for ADHD traits were more variable across thresholds. We found that the spatial distributions often correlated with known environmental inﬂuences. Conclusions: These ﬁndings shed light on the factors that contribute to the complex interplay between the environment and genetic inﬂuences in autistic and ADHD traits.

It is currently unclear whether associations between PGS and these traits vary spatially in a similar way to prevalence.Previous research on autistic traits using twin data suggests there is broad spatial variation within countries in genetic and environmental influences (Davis, Haworth, Lewis, & Plomin, 2012;Reed et al., 2021).However, we do not yet know whether similar variation is apparent at higher spatial resolution within a single city region, or using known genetic variants associated with autism and ADHD.
Here we used variants from the GWAS described above to construct PGS for participants in the Avon Longitudinal Study of Parents and Children (ALSPAC), a geographically clustered birth cohort.We conducted weighted analyses across a regular grid of spatial points covering the area surrounding the city of Bristol in the United Kingdom (UK), to examine high-resolution spatial variation in associations between PGS and autistic and ADHD traits.

Cohort description
ALSPAC initially recruited 14,541 pregnant women residents in the former county of Avon centred on the city of Bristol, UK, with expected delivery dates between 1st April 1991 and 31st December 1992.Of these initial pregnancies, 13,988 children were alive at age 1.When the children were approximately age 7, additional eligible cases who had failed to join the study originally were recruited, resulting in a total sample size of 14,901 children (Boyd et al., 2013(Boyd et al., , 2019;;Fraser et al., 2013).The study website contains details of all the data that is available through a fully searchable data dictionary and variable search tool (http://www.bristol.ac.uk/alspac/ researchers/our-data/).
Ethical approval for the study was obtained from the ALSPAC Ethics and Law Committee and the Local Research Ethics Committees.Informed consent for the use of data collected via questionnaires and clinics was obtained from participants following the recommendations of the ALSPAC Ethics and Law Committee at the time.Consent for biological samples has been collected in accordance with the Human Tissue Act ( 2004).Participants included in our analyses were restricted to those residing in the area in and around Bristol when measures were obtained.
A flowchart indicating the drop-out in ALSPAC is shown in Figure 1.
Autistic traits.We used two measures of autistic traits.
The first, which we refer to as social autistic traits, was administered on a single occasion, at a mean age of 10.72 (SD = 0.12).We used total scores from parent responses to the Social and Communication Disorders Checklist (SCDC) (Skuse, Mandy, & Scourfield, 2005).The SCDC has high internal consistency (Cronbach's alpha of .93),test-retest reliability (.81), sensitivity (90%) and specificity (69%) for an autism diagnosis (Skuse et al., 2005).It consists of 12 items, with responses scored as Not true (0), Quite/Sometimes true (1) and Very/Often true (2), with a maximum total score of 24.The score distribution is presented in Figure S2.
The second measure, which we refer to as the autistic traits mean factor score, was derived from 93 measures (including SCDC measurements) obtained at multiple time points from age 6 months to 9 years (Steer, Golding, & Bolton, 2010).The SCDC measure is a more specific measure of autistic social traits, but the autistic traits mean factor score encompasses a broader measure of autistic traits, and provides a useful test of the sensitivity of the results to changes in phenotypic measurement.Further details can be found in the Appendix S1 and Figure S3.We flipped the sign of the score so that a more positive score corresponds to a stronger indication of autistic traits.The phenotypic correlation between the two measures was .44.
Covariates.We included the child's sex and age at assessment as covariates in analyses of social autistic and ADHD traits.For the autistic traits mean factor score we included sex, but not age since the score is a composite of measures at multiple time points.We also included the first 20 principal components (PCs) of population structure in our unweighted analyses to assess whether this may influence our findings.
Location data and weightings.The residential address history of ALSPAC participants has been geo-coded and mapped to spatial coordinates (Boyd et al., 2019).We conducted analyses at a regular hexagonal grid of 1,036 locations (see Figure S4) across the ALSPAC recruitment area, comprising the three health districts that existed in the old county of Avon (Southmead, Frenchay, and Bristol and Weston District Health Authorities).This spatial resolution was chosen as it allowed a good trade-off between greater resolution and the number of data points manageable for analysis in a multi-step model where the ALSPAC team and the researchers exchanged datasets several times to allow the use of accurate spatial information from participants without identifiable data being released to researchers.See Appendix S2 for further details.
Participants' contributions to each analysis were weighted by a function of their Euclidean distance from the analysis location.Participants were assigned locations corresponding to the centroid of their residential postcode area at age 10.A postcode area groups a mean of 15 neighbouring properties and covers a mean area of 43,830 m 2 .The weighting function is given below, where x i is the participant's location, x is the analysis location, d is the Euclidean distance between these and w i is the weight for each participant: The power parameter we have used is 0.5 to allow for a trade-off between more accurate estimation of the association and accurately localising this, where estimates are smoothed somewhat towards population means whilst allowing for patterns of variation to be observed.This allowed each participant to contribute to each analysis, with participants living closer to an analysis location contributing greater weight to the analysis.

Genetic data
Genetic data for children and mothers were obtained from a combination of blood and buccal samples (see Appendix S3).
After quality control and removing those who had withdrawn consent, there were 8,252 children and 7,914 mothers with genotype data available.

Polygenic score construction
The construction of PGS is described in detail in Appendix S4.Briefly, we used Plink (version 2) (Purcell et al., 2007) to construct weighted PGS for each participant from GWAS summary statistics for ADHD (Demontis et al., 2019) and autism (Grove et al., 2019) by summing the number of risk alleles present for each SNP (0, 1 or 2) weighted by the effect of that SNP in the GWAS discovery sample.We generated maps for multiple PGS constructed at the p-value thresholds (pT ) p < 5 × 10 À8 , p < 1 × 10 À5 , and p < .5 in the discovery GWAS, and for the threshold that explained the most variance in the phenotype in the full, unweighted ALSPAC sample.We modelled associations for a range of pT as in GWAS there are likely to be both true and false positive associations and therefore including a range of pT and assessing patterns of consistencies can help overcome this potential issue (Maher, 2015).We standardised PGS to z scores, so results are presented on the scale of standard deviation (SD) changes in PGS.
Spatial variation using weighted polygenic score analyses.Initially we conducted analyses without weight- ing by location to obtain estimates for the association of the PGS with the phenotypes (see Appendix S5).We then ran ordinary least squares linear regression models, adjusted for the covariates listed above, for each of the 1,036 locations, with participants' contributions to each analysis weighted by the Euclidean distance from the location selected.We refer to the beta coefficients from linear regression models between PGS and traits as genetic influences in the results.We compared the spatial distribution of results for different pT with the Lee statistic (spdep R package, version 1.1-2) (Bivand & Wong, 2018;Lee, 2001Lee, , 2004)).This is a global bivariate spatial correlation test, which integrates an aspatial bivariate measure (Pearson's correlation) and a univariate spatial measure (Moran's I ).It captures spatial co-patterning and therefore the extent to which bivariate associations are spatially clustered.Results are interpreted as the spatial similarity of the two distributions (a combination of the correlation between the measures and spatial clustering), therefore capturing whether results were consistent across the maps.We have no strong hypothesis about the direction of effect and results in either direction were of interest.Therefore, p-values reflect two-tailed tests.
Maps of environmental characteristics.We examined several environmental variables previously found to be associated with the prevalence of autism and ADHD, as described in the introduction: population density; parental education level, neighbourhood educational attainment and SEP; and low exposure to sunlight.
To assess whether these environmental characteristics were also correlated with differences in the strength of the association between polygenic scores for autism and ADHD and the phenotypes themselves, we created maps of each environmental measure over the same area, using data from external sources.We quantify these in our model by including measures of population density, average qualification level, level of urbanicity, the index of multiple deprivation (IMD) and hours of bright sunshine (see Appendix S6 and Table S1).Data for population density and IMD were log transformed due to positive skews.We used the Lee statistic to compare the spatial distributions of these environmental variables to the maps of variation in PGS association.
Associations between polygenic scores and participation and migration measures.To index sampling bias, we tested the association between children's and mothers' PGS, participation rates and migration out of the Avon area.Loss to follow-up could be associated with PGS for autism and ADHD, as suggested previously (Taylor et al., 2018).To assess this, we created measures of each child's and mother's participation in ALSPAC, up to child age 11 (see Appendix S7).For analyses using mother's PGS we adjusted for mother's age.

Sample description
After excluding those without the phenotypic, location and genetic data (for PGS) required, we included between 4,255 and 6,165 children in each analysis (see Table 1).

Population-level polygenic score analysis
Results for population-level PGS analyses, with and without additional adjustment for 20 PCs, are presented in Tables S2, S3 and S4 for ADHD traits, social autistic traits and the autistic traits mean factor score, respectively.When adjusting additionally for the 20 PCs, effects are attenuated.The p-value thresholds that explain the most variance (as measured using the adjusted R 2 value from unweighted linear regression models between the PGS and the respective trait) are .5 for ADHD traits (N = 5,258; R 2 = .011),.1 for social autistic traits (N = 5,200; R 2 = .00068)and .5 for the autistic traits mean factor score (N = 7,505; R 2 = .0012).We have generated maps for these pT along with the other selected pTs, resulting in three analyses for ADHD traits and the autistic mean factor score and four analyses for social autistic traits (Figures 2-4).

Spatially weighted polygenic score analyses
Maps of spatially weighted PGS for ADHD traits (N = 4,309) are presented in Figure 2A-2C (pT: 5 × 10 À8 , 1 × 10 À5 and .5, respectively).From visual inspection it is difficult to recognise patterns across the thresholds used.However, there are a few areas that appear more consistent, for example within Bristol, the north-west generally has lower genetic influence on ADHD traits whilst the south has higher genetic influence.When we refer to genetic influence, we mean the beta coefficient from the regression between the PGS and ADHD traits, where a higher genetic influence means a higher beta coefficient.
Results for spatially weighted PGS for social autistic traits (N = 4,255) are presented in the maps in Figure 3A-3D (pT: 5 × 10 À8 , 1 × 10 À5 , .1 and .5, respectively).These results appear more consistent across the different pT than for ADHD traits, even though the autistic traits PGS explains less variance than the ADHD PGS.We generally see higher genetic influences in the south-west and north-west of the region than in the east.Low genetic influences are also seen around the most south-west area and this is most apparent for the .5 pT.The area within the city of Bristol shows variation, with north-western areas of the city generally showing higher genetic influences compared to the south-eastern areas.
Results for spatially weighted PGS for the autistic traits mean factor score (N = 6,165) are presented in the maps in Figure 4A-4C (pT: 5 × 10 À8 , 1 × 10 À5 and .5, respectively).These results appear less consistent across the different pT than those for social autistic traits.However, there are some consistencies: the most south-westerly area, with a similar pattern to social autistic traits, has relatively higher genetic influences at lower pT compared to other areas, and lower genetic influences at the higher pT.The east has generally low genetic influences compared to the west and northern areas, similarly to social autistic traits.We also see within-city variation for Bristol, with the north-western areas showing higher genetic influences compared to the south-eastern areas of the city of Bristol at higher pT.

Risk factor maps and comparison of spatial distributions
Maps of population density, average qualification level, IMD, level of urbanicity and hours of sunshine are shown in Figure 5A-5E, respectively.Results for the Lee test comparing these maps with the PGS maps, at the pT explaining the most variance, are shown in Table 2. To account for multiple testing, we applied a Bonferroni correction and considered a p-value <.003 to be strong evidence of correlation.For ADHD traits, there is strong evidence of correlations with all environmental measures.Strong evidence of a positive spatial correlation was found with average qualification level (Lee statistic = .07,p < 2 × 10 À04 ) and negative spatial correlations with the other measures (Lee statistic = À.04 to À.47, p < 2 × 10 À04 ), with the strongest correlation being with hours of sunshine.For social autistic traits, we found strong evidence of positive spatial correlations with average qualification level (Lee statistic = .07,p < 2 × 10 À04 ) and hours of sunshine (Lee statistic = .57,p < 2 × 10 À04 ) and negative spatial correlations with population density (Lee Figure 3 Mapping the association of the polygenic score for autism with social autistic traits shows consistent variation across the p-value thresholds (A: 5 × 10 À08 , B: 1 × 10 À05 , C: .1 and D: .5)over the area surrounding Bristol, UK.Spatial variation in genetic influences (beta coefficients from regression models) ranging from low (blue) to high (red).Histograms show the distribution of effect estimates, coloured in the same way.The city of Bristol is outlined in white. Ó

Discussion
We found spatial variation in genetic influences (the beta coefficients from linear regression models between PGS and traits) for both autistic and ADHD traits measured using PGS in a single city region.This corroborates previous research using twin analysis that identified spatial variation in the genetic influence of autistic traits on a national scale (Reed et al., 2021).Our results were consistent across different pT for social autistic traits, but less consistent for the autistic traits mean factor score and ADHD traits.
This spatial variation in genetic influence on autistic and ADHD traits (by which we mean the association between autism or ADHD PGS and these traits) supports interplay between genetic influence and geographical environments, indicative of geneenvironment interactions or correlations.Despite the expected low predictive power of the PGS, the association between PGS for autism and ADHD with their phenotypic counterparts did vary spatially.This suggests that certain geographically distributed environments may draw out or mask genetic influences on autism and ADHD.This highlights the importance of local context when conducting PGS studies, going beyond the typical population-level analyses.However, it is difficult to identify consistent patterns across the pT for ADHD.We note that confidence intervals for each point overlap with those of the corresponding points on the other pT maps, so despite appearances the maps are not necessarily inconsistent.Any potential consistencies may become clearer as GWAS of larger samples identify variants associated with autism and ADHD that explain a greater amount of variance in the phenotypes.
We investigated specific environmental characteristics that may be correlated with this spatial variation in associations between PGS and respective traits.We found strong evidence of spatial correlation between the variation in these PGS associations and environmental characteristics that had previously been associated with population prevalence, with the exception of population density for the autistic traits mean factor score and urbanicity for social autistic traits.Many of these environmental characteristics are correlated, so the consistency of associations is reassuring.The relationships we observe would be consistent with area-level traits modifying genetic influences on neurodevelopmental traits.This fits with previous phenotypic literature suggesting their prevalence is correlated with SEP (Bakian et al., 2015;Hoffman et al., 2012;Russell et al., 2015).Qualification level tends to be higher in less deprived areas, so the fact we observe opposite correlations for these with the PGS association maps fits with this relationship.We observe a strong relationship between the maps for PGS associations with social autistic traits and hours of sunshine, where there is greater genetic influence in areas with more sunshine.This may be linked to previous reports of a relationship between decreased vitamin D levels and increased prevalence of autism (Cannell, 2017;Hastie et al., 2019;Lee et al., 2019;Vinkhuyzen et al., 2018).Despite a similar association for prevalence (Arns et al., 2013), the correlation between maps for PGS associations with ADHD traits and annual sunshine was in the opposite direction.This is not inconsistent, because influences on prevalence and aetiology are not necessarily the same.But if true it would suggest a different mechanism of action for autistic and ADHD traits.However, as noted earlier, the maps for ADHD are not strongly correlated across thresholds (unlike for social autistic traits), so the results for ADHD should be interpreted with caution.We also found negative correlations between maps of genetic influence and maps of population density and urbanicity, suggesting that the genetic variants are more predictive of these traits in rural areas.Alongside previous findings of higher prevalence of autism in more urban and densely populated areas (Lauritsen et al., 2014;Lauritsen, Pedersen, & Mortensen, 2005;Wu & Jackson, 2017), this might suggest that the impact of urban living is a more direct environmental effect that makes the genetic variation measured with these PGS relatively unimportant.Based on population heritability estimates, it is likely that, with larger-scale GWAS, in future studies genetic variation may be seen to play a more important role here.

Limitations
Whilst we observe spatial variation in genetic influences in this study, there are a few points to consider when interpreting these results.We found that greater polygenic risk for ADHD was associated with decreased participation for both children and mothers, in line with a previous study in ALSPAC (Taylor et al., 2018).Therefore, analyses including the ADHD PGS may be biased by selection on study participation, which could result in distorted estimates.Participation in ALSPAC was demonstrated in Figure 1, showing that this decreases over time and it may be that those with higher levels of autistic and ADHD traits are more likely to drop out of the study as well.The child participation measures will partially capture mother's participation as well (e.g., child-based questionnaires completed by mothers), but due to the age we examined, there were few measures available that were completed by the child.Similarly, migration could plausibly occur due to underlying genetic risk for a trait in parents, which in turn could influence the spatial patterning for offspring genetic risk.However, as we do not find evidence of this, it is unlikely that this will be having a large effect on our findings.The ADHD PGS explained more variance in ADHD traits than the autism PGS with social autistic traits.This is in line with the phenotypic variance explained in the original articles: 5.5% for ADHD compared to 2.5% for autism.However, the variance explained in our study was very low, so the spatial variation in genotype may not reflect spatial variation in the phenotype for this reason.This is likely to improve as GWAS become larger and more powered and future studies should explore this further.
Although both autistic traits and ADHD vary in presentation across the lifespan, most of our measures were obtained at age 10.However, autism and ADHD are neurodevelopmental conditions with traits arising early so it is likely these will be apparent by the time of measurement.The autistic traits mean factor score also addresses this issue by incorporating measures taken from a range of time points throughout childhood.However, this mean factor score also has its own limitations.For example, because it is an average score it assumes that the measures all explain equal amounts at each time point, so we are assuming a lifetime spatial measurement invariance, which may not be the case.Additionally, the correlation with the SCDC measure is not strong, likely due to the measures capturing different aspects of autistic traits.
The environmental measures also have some limitations in terms of the time of collection.We tried to capture time periods of relevance for the ALSPAC participants e.g., early childhood.However, it was not always possible to accurately capture these, for example, the hours of sunshine measure is a 30-year average from 1981 to 2010 and therefore preceding the birth of ALSPAC children.Therefore, results should be interpreted considering this.However, many of these environmental variables will change slowly over time, for example in the UK the average annual hours of sunshine increased by 3% from the period we used to the period from 2008 to 2017 (Lowe et al., 2018), so we anticipate that the results will still be fairly accurate.
There will be measurement errors in the estimated effect sizes for individual genetic variants used to construct the PGS, which may reduce precision (Dudbridge, 2013), although the discovery GWAS samples were large, which helps to mitigate this issue.Similarly, there is likely to be a mixture of true and false positive associations in GWAS with many genome-wide significant hits.Modelling associations for a range of pT and observing consistent patterns, as we have, helps overcome this potential issue (Maher, 2015).PGS also do not account for rare genetic variants, which may be of particular importance in the context of neurodevelopmental conditions and may also exhibit stronger geographical clustering, therefore our results should be interpreted in light of the fact this approach only considers common genetic variation, indexed by current genome-wide arrays.Our analyses were conducted in a population sample of European ancestry, so results may not generalise to populations from other ancestral backgrounds (De La Vega & Bustamante, 2018).Assortative mating is also thought to be more common in autism (Nordsletten et al., 2016), which may bias autism GWAS and therefore make the PGS less accurate (Brumpton et al., 2020).However, the exact impact this would have on our results is not clear.The approach that we used gives greater weight to those living closest to the target location.This is to allow localised effects to be estimated but we also want there to be smoothing between points on the maps.The trade-off between smoothing and accurately estimating effect estimates is determined by the tuning parameter in the weighting.This means that some localised variation in the effects may not be detected, because the effects are smoothed towards a population-level effect.
Finally, in our analyses we used linear regressions, but future work using this approach could be conducted considering non-linear relationships or incorporating different model types.In addition, our maps did not include confidence intervals or standard errors because the analysis protocol split between the researchers and ALSPAC made bootstrapping them computationally infeasible.Future work accounting for this would likely be useful.The approach demonstrated in this study is flexible and could be adapted for a range of applications in future research.

Conclusion
In summary, our results demonstrate spatial variation in known genetic influences for both autistic and ADHD traits in a single city region.This variation is associated with some of the environmental factors that are also associated with prevalence.Future research might examine these associations further along with a wider range of environmental variables.We hope that mapping the landscape of genetic influences may aid the identification of spatially distributed environments that moderate genetic influences on autistic traits or ADHD.Identifying these factors and how they interact could one day lead to social policy interventions to improve outcomes for those with these developmental traits.S1.Summary of environmental measures used for ALSPAC participants.Table S2.Polygenic score analyses for ADHD traits for each of the 13 polygenic scores (N = 5,258).Table S3.Polygenic score analyses for social autistic traits (from SCDC) for each of the 13 polygenic scores (N = 5,200).Table S4.Polygenic score analyses for the autistic traits mean factor score for each of the 13 polygenic scores (N = 7,505).Table S5. Lee statistic test results for polygenic score maps across different p-value thresholds, using Monte-Carlo simulation with 10,000 permutations.Table S6.Associations between mother and child polygenic scores for autism and ADHD and participation and migration measures.Table S7.Mean participation scores for children and mothers by migration group.
• The prevalence of autism and ADHD vary spatially.
• Our study highlights that genetic influences based on PGS also vary spatially.
• This spatial variation correlates with spatial variation in environmental characteristics as well, which would be interesting to examine further.• Our findings have implications for future research in this area examining the factors that contribute to the complex interplay between the environment and genetic influences on autistic and ADHD traits.

Figure 1
Figure 1 Flowchart of number of participants in the Avon Longitudinal Study of Parents and Children.ADHD, attention deficit hyperactivity disorder.

Figure 2
Figure2Mapping the association of the polygenic score for ADHD with ADHD traits shows a lack of consistency in results across different p-value thresholds (A: 5 × 10 À08 , B: 1 × 10 À05 and C: .5)over the area surrounding Bristol, UK.Spatial variation in genetic influences (beta coefficients from regression models) ranging from low (blue) to high (red).Histograms show the distribution of effect estimates, coloured in the same way.The city of Bristol is outlined in white.

Figure 4
Figure4Mapping the association of the polygenic score for autism with the autistic traits mean factor score shows some consistency in variation across the p-value thresholds (A: 5 × 10 À08 , B: 1 × 10 À05 and C: .5)over the area surrounding Bristol, UK.Spatial variation in genetic influences (beta coefficients from regression models) ranging from low (blue) to high (red).Histograms show the distribution of effect estimates, coloured in the same way.The city of Bristol is outlined in white.

Figure 5
Figure 5 Maps of population density (A), average qualification level (B), Index of Multiple Deprivation (IMD) (C), level of urbanicity (D) and hours of sunshine (E) (30-year annual average from 1981 to 2010) for the ALSPAC catchment area, in and around Bristol.The maps in the figures show (A) log-transformed population density (from 2001 census data) ranging from low (light blue) to high (dark blue), (B) average qualification level (from 2001 census data) ranging from low (blue) to high (red), (C) log-transformed Index of Multiple Deprivation (IMD) (from 2000) ranging from low (light blue) to high (dark blue), (D) level of urbanicity (from 2001 census data) showing urban i.e., with a population greater than 10,000 (red), towns/fringe areas which included a settlement area classified as part of a small town or urban fringe (purple) and villages, which included dispersed dwellings, hamlets and villages (blue), the latter two classifications determined based on household densities and (E) hours of sunshine (30-year annual average from 1981 to 2010) ranging from low (blue) to high (red).Histograms show the distribution of the respective measures coloured in the same way.

Figure S2 .
Figure S2.Distribution of social autistic traits as measured using the SCDC questionnaire in the ALSPAC cohort.FigureS3.Distribution of the autistic traits mean factor score in the ALSPAC cohort.FigureS4.Hexagonal grid of target locations across for analysis across Bristol and surrounding areas, based on three health districts (Southmead, Frenchay and Bristol and Weston).FigureS5.Maps showing the association of the polygenic score for ADHD (using the European GWAS results) with ADHD traits.TableS1.Summary of environmental measures used for ALSPAC participants.TableS2.Polygenic score analyses for ADHD traits for each of the 13 polygenic scores (N = 5,258).TableS3.Polygenic score analyses for social autistic traits (from SCDC) for each of the 13 polygenic scores (N = 5,200).TableS4.Polygenic score analyses for the autistic traits mean factor score for each of the 13 polygenic scores (N = 7,505).TableS5. Lee statistic test results for polygenic score maps across different p-value thresholds, using Monte-Carlo simulation with 10,000 permutations.TableS6.Associations between mother and child polygenic scores for autism and ADHD and participation and migration measures.TableS7.Mean participation scores for children and mothers by migration group.

Figure S4 .
Figure S2.Distribution of social autistic traits as measured using the SCDC questionnaire in the ALSPAC cohort.FigureS3.Distribution of the autistic traits mean factor score in the ALSPAC cohort.FigureS4.Hexagonal grid of target locations across for analysis across Bristol and surrounding areas, based on three health districts (Southmead, Frenchay and Bristol and Weston).FigureS5.Maps showing the association of the polygenic score for ADHD (using the European GWAS results) with ADHD traits.TableS1.Summary of environmental measures used for ALSPAC participants.TableS2.Polygenic score analyses for ADHD traits for each of the 13 polygenic scores (N = 5,258).TableS3.Polygenic score analyses for social autistic traits (from SCDC) for each of the 13 polygenic scores (N = 5,200).TableS4.Polygenic score analyses for the autistic traits mean factor score for each of the 13 polygenic scores (N = 7,505).TableS5. Lee statistic test results for polygenic score maps across different p-value thresholds, using Monte-Carlo simulation with 10,000 permutations.TableS6.Associations between mother and child polygenic scores for autism and ADHD and participation and migration measures.TableS7.Mean participation scores for children and mothers by migration group.

Figure S5 .
Figure S2.Distribution of social autistic traits as measured using the SCDC questionnaire in the ALSPAC cohort.FigureS3.Distribution of the autistic traits mean factor score in the ALSPAC cohort.FigureS4.Hexagonal grid of target locations across for analysis across Bristol and surrounding areas, based on three health districts (Southmead, Frenchay and Bristol and Weston).FigureS5.Maps showing the association of the polygenic score for ADHD (using the European GWAS results) with ADHD traits.TableS1.Summary of environmental measures used for ALSPAC participants.TableS2.Polygenic score analyses for ADHD traits for each of the 13 polygenic scores (N = 5,258).TableS3.Polygenic score analyses for social autistic traits (from SCDC) for each of the 13 polygenic scores (N = 5,200).TableS4.Polygenic score analyses for the autistic traits mean factor score for each of the 13 polygenic scores (N = 7,505).TableS5. Lee statistic test results for polygenic score maps across different p-value thresholds, using Monte-Carlo simulation with 10,000 permutations.TableS6.Associations between mother and child polygenic scores for autism and ADHD and participation and migration measures.TableS7.Mean participation scores for children and mothers by migration group.

Ó
2024 The Author(s).Journal of Child Psychology and Psychiatry published by John Wiley & Sons Ltd on behalf of Association for Child and Adolescent Mental Health.

Table 1
Descriptive statistics for participants included in analyses for social autistic traits, autism mean factor score and ADHD traits ADHD, attention deficit hyperactivity disorder; IQR, inter quartile range; SD, standard deviation.Ó 2024 The Author(s).Journal of Child Psychology and Psychiatry published by John Wiley & Sons Ltd on behalf of Association for Child and Adolescent Mental Health.

Table 2
Lee statistic test results for environmental risk factor maps compared to polygenic score maps for the score with a Ó 2024 The Author(s).Journal of Child Psychology and Psychiatry published by John Wiley & Sons Ltd on behalf of Association for Child and Adolescent Mental Health.