Supplementary Table 1. Description of the landmarks used in skull and mandible. See Figure 1 for a representation within the structures. Landmark Skull 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 Mandible 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Description Nasal bones most anterior suture Nasal bones most posterior suture Frontal bones most posterior suture Parietal bones most posterior suture Interparietal bone most posterior point on the median line Right side, most anterior point of the suture between frontal and parietal bones Left side, most anterior point of the suture between frontal and parietal bones Right side, intersection between parietal, occipital and squamosal bones Left side, intersection between parietal, occipital and squamosal bones Right, most posterior junction of squamosal bone and the zygomatic process of the squamosal bone Left, most posterior junction of squamosal bone and the zygomatic process of the squamosal bone Right side, most anterior suture of the zygomatic process of the squamosal bone and jugal bone Left side, most anterior suture of the zygomatic process of the squamosal bone and jugal bone Right side, most anterior suture of jugal bone and the zygomatic process of the maxillary bone Left side, most anterior suture of jugal bone and the zygomatic process of the maxillary bone Right side, intersection of the frontal, lacrimal and the zygomatic process of the maxillary bone Left side, intersection of the frontal, lacrimal and the zygomatic process of the maxillary bone Right infraorbital foramen most superior point Left infraorbital foramen most superior point Right infraorbital foramen most inferior point Left infraorbital foramen most inferior point Right premaxilla-right nasal bone most anterior point of suture Left premaxilla-left nasal bone most anterior point of suture Most superior point of the right incisor alveolus Most superior edge of the left incisor alveolus Most inferior point of the right incisor alveolus Most inferior point of the left incisor alveolus Right premaxilla-maxilla most ventral juntion Left premaxilla-maxilla most ventral juntion Most anterior point of the right first molar alveolus Most anterior point of the left first molar alveolus Most posterior point of the right third molar alveolus Most posterior point of the left third molar alveolus Most inferior point of the right external acoustic meatus Most inferior point of the left external acoustic meatus Most superior point of the right external acoustic meatus Most superior point of the left external acoustic meatus Most anterior point of the right anterior palatine foramen Most anterior point of the left anterior palatine foramen Most posterior point of the right anterior palatine foramen Most posterior point of the left anterior palatine foramen Right pterygoid process, most posterior point Left pterygoid process, most posterior point Median-line point of the suture between occipital and basisphenoid bones Median-line point of the suture between basisphenoid and presphenoid bones Most posterior point of the suture between palatine bones Foramen magnum most anterior point, Basion Foramen magnum most posterior point, Bregma Most superior point of the incisor alveolus Most inferior point of the incisor alveolus Most anterior point of the first molar alveolus Most posterior point of the third molar alveolus Most posterior tip of the coronoid process Most anterior concave point of coronoid process Most anterior point of the articular surface of the condyle Most posterior tip of the condyle Most anterior concave point between condyle and angular process Most posterior tip of angular processs Most inferior point of angular process Ascending ramus dorsal-most ventral point Alveolar region most inferior point Most anterior point of the masseteric muscle insertion into the alveolar region Supplementary Table 2. Principal components included in the mapping. The percentage of the total variation that can be explained by all the SNPs used in the mapping is shown (pve) for PCs and for centroid size. PC %var %cum PC1* 16.6 16.6 PC2* 12.1 28.6 PC3 7.7 36.3 PC4 6.6 42.9 PC5 5.9 48.8 PC6 5.3 54.1 PC7 4.4 58.6 PC8 3.9 62.5 PC9 3.4 65.9 PC10* 2.9 68.8 PC11 2.5 71.3 PC12 2.4 73.7 PC13* 2.3 75.9 PC14* 1.9 77.8 PC15 1.7 79.5 PC16 1.5 81.1 PC17 1.3 82.4 PC18* 1.3 83.7 PC19 1.1 84.8 PC20 1 85.8 pve of total variation Centroid Size Skull pve sd(pve) 0.93 0.06 0.73 0.08 0.93 0.06 0.9 0.06 0.79 0.09 0.57 0.14 0.78 0.11 0.58 0.12 0.69 0.1 0.73 0.11 0.69 0.12 0.54 0.11 0.53 0.15 0.43 0.15 0.68 0.12 0.68 0.17 0.34 0.14 0.36 0.13 0.38 0.14 0.42 0.21 64.2 72 16 pge 0.57 0.33 0.36 0.62 0.33 0.43 0.39 0.38 0.4 0.37 0.37 0.49 0.4 0.41 0.49 0.4 0.44 0.53 0.42 0.41 37.5 sd(pge) 0.3 0.29 0.28 0.26 0.29 0.28 0.29 0.28 0.28 0.27 0.28 0.3 0.28 0.29 0.28 0.27 0.29 0.3 0.29 0.27 33 25 PC %var %cum PC1 21.6 21.6 PC2 12.8 34.5 PC3* 8.3 42.8 PC4 7.6 50.4 PC5 6.5 56.9 PC6 5.5 62.4 PC7* 4.5 67 PC8 3.7 70.7 PC9 3.6 74.3 PC10 3 77.2 PC11* 2.8 80.1 PC12* 2.1 82.1 PC13* 2 84.1 PC14 1.8 85.9 PC15* 1.7 87.7 PC16* 1.4 89 PC17 1.4 90.4 PC18* 1.2 91.5 pve of total variation Centroid Size Mandible pve sd(pve) 0.91 0.07 0.89 0.06 0.57 0.13 0.74 0.09 0.5 0.15 0.92 0.07 0.5 0.12 0.65 0.11 0.46 0.11 0.38 0.13 0.5 0.13 0.36 0.12 0.46 0.16 0.68 0.11 0.44 0.15 0.43 0.18 0.44 0.14 0.41 0.14 63.9 75 16 pge 0.44 0.21 0.39 0.34 0.35 0.24 0.37 0.33 0.43 0.4 0.37 0.34 0.48 0.33 0.44 0.4 0.4 0.46 33 sd(pge) 0.29 0.25 0.28 0.29 0.27 0.24 0.29 0.27 0.29 0.28 0.28 0.28 0.29 0.27 0.28 0.28 0.28 0.3 37 27 *indicates the PCs with significant associations. %var, percentage of total phenotypic variation explained by each PC. %cum, cumulative variation. Pve, proportion (from 0 to 1) of the variation in each PC explained by all the SNPs used in the mapping (“chip heritability”). Pve of total variation, percentage of the total phenotypic variation in the mapping population explained by all the SNPs used in the mapping, ∑𝑛1(𝑝𝑣𝑒 ∗ %𝑣𝑎𝑟), n= number of PCs. Pge, proportion (from 0 to 1) of the variation in each PC that can be explained by SNPs of large effect. Sd, standard deviation. Pve and pge values were calculated using the BSLMM model from GEMMA.