17Social genetic effects (SGE, also called indirect genetic effects) are 18 associations between genotypes of one individual and phenotype of another. SGE can 19 arise when two individuals interact and heritable traits of one influence the phenotype 20 of the other. To better understand how SGE arise from individual genetic loci, we have 21 derived statistical strategies for the joint analysis of SGE and traditional direct genetic 22 DGE loci and found smaller effect sizes for the former: SGE associations explained a 33 maximum of 2.5% of phenotypic variance when eleven genome-wide significant DGE 34 associations explained more than 5% of phenotypic variance. Our results and the 35 presented methods will guide the design and analysis of future sgeGWAS. 36 37 38 Main text 39 40 in our analyses. (c) Experimental design. The experimental paradigms used to collect 87 the 170 phenotypes are listed. 88 89 90Results 91 92 Genome-wide genotypes (both LD-pruned and non pruned, see Methods) and 93 phenotypes for 2,073 CFW mice were available from Nicod et al. 19 and Davies et al. 20 . 94Males were always housed with males and females with females, and mice interacted 95 in their cages for a period of at least nine weeks before phenotyping ( Figure 1c). We 96 only kept mice that had the same two cage mates over the course of the experiment 97(1,869 total). Furthermore, we excluded 57 mice that formed genetic substructures so 98 that the remaining 1,812 mice were as equally related as possible while retaining as 99 large a sample size as possible (see Methods). 100 101
Aggregate contribution of SGE 102Initially we estimated the aggregate contribution of SGE (i.e. the sum of SGE across 103 the genome) to all 170 phenotypes in the dataset, which include phenotypes that have 104 never before been considered in a study of SGE (muscles and bones characteristics, 105 response to hypoxia, electrocardiogram, and sleep). We used a random effect model 106 for SGE and DGE as in Baud et al. 9 and found that SGE, in aggregate, explained up 107 to 22% (+/-6%) of variation in serum LDL levels and an average of 11% across 9 108 phenotypes with significant aggregate SGE (FDR < 10%, Supplementary Table 1). 109Phenotypes significantly affected by SGE included behavioural (helplessness), 110 physiological (serum LDL cholesterol, healing from an ear punch, blood eosinophils, 111 serum alpha-amylase concentration, blood platelets, acute hypoxic response), and 112 morphological (weight of adrenal glands) traits. Importantly, among the phenotypes 113 significantly affected by SGE were both phenotypes known or expected to be affected 114 by the social environment, namely helplessness (a murine model for depression), 115 blood eosinophils (a measure of immunity) and weight of adrenal glands (a measure 116 associated with stress), and phenotypes less expected to be socially affected, such 117as LDL levels, response to hypoxia, and healing from an ear punch. Notably, the 118 significant and substantial SGE detected in this population for healing fro...