APPENDIX 1.
Definitions, measurements (in mm, unless otherwise stated) and equations used (Janis, 1990; Scott, 1990; Tsubamoto, 2014) to estimated the body mass (BM) in kg of MPEF-PV 8166. PE= Percent of error.
Variable | Acronym | Definition | Type | Dataset | Value | Equation | R2 | % PE | Slope | Intercept | BM | BM + PE | BM - PE |
Lower molar row length | LMRL | Measured along the base of the teeth | Dental | All ungulates | 75.6 | log BM= 3.265*log(LMRL)-0.536 | 0.941 | 31.9 | 3.27 | -0.536 | 396 | 522 | 269 |
First lower molar length | FLML | Measured at the occlusal surface of the tooth | Dental | All ungulates | 20.1 | log BM= 3.263*log(FLML)+1.337 | 0.93 | 34.6 | 3.26 | 1.34 | 389 | 524 | 254 |
First lower molar width | FLMW | Dental | All ungulates | 15.6 | log BM= 2.909*log(FLMW)+2.030 | 0.92 | 38.4 | 2.91 | 2.030 | 316 | 437 | 194 | |
First lower molar area | FLMA | FLMA= FLML*FLMW | Dental | All ungulates | 313.3 | log BM= 1.553*log(FLMA)+1.701 | 0.93 | 33.2 | 1.55 | 1.7 | 378 | 503 | 252 |
Second lower molar length | SLML | Measured at the occlusal surface of the tooth | Dental | All ungulates | 22.5 | log BM= 3.201*log(SLML)+1.130 | 0.94 | 31.9 | 3.2 | 1.130 | 289 | 381 | 197 |
Second lower molar area | SLMA | SLMA= SLML*Second Lower Molar Width | Dental | All ungulates | 343.7 | log BM= 1.563*log(SLMA)+1.541 | 0.94 | 33.5 | 1.56 | 1.54 | 320 | 427 | 213 |
Third lower molar area | TLMA | TLMA= Third lower molar length *Third lower molar width | Dental | All ungulates | 508.9 | log BM= 1.580*log(TLMA)+1.404 | 0.93 | 33.1 | 1.580 | 1.4 | 479 | 638 | 321 |
Second upper molar length | SUML | Measured at the occlusal surface of the tooth | Dental | All ungulates | 27.9 | log BM= 3.184*log(SUML)+1.091 | 0.93 | 34.7 | 3.18 | 1.09 | 494 | 666 | 323 |
Second upper molar width | SUMW | Measured at the occlusal surface of the tooth | Dental | All ungulates | 36.9 | log BM= 3.004*log(SUMW)+1.469 | 0.92 | 38.9 | 3 | 1.47 | 1501 | 2085 | 917 |
Second upper molar area | SUMA | SUMA=SUML*SUMW | Dental | All ungulates | 1029.5 | log BM=1.568*log(SUMA)+1.277 | 0.94 | 32.7 | 1.57 | 1.28 | 1002 | 1329 | 674 |
Posterior jaw length | PJL | Measured as the horizontal distance from the back of the jaw condyle to the posterior border of m3 | Crania | All ungulates | 65.3 | log BM= 2.412*log(PJL)+0.031 | 0.93 | 36.5 | 2.41 | 0.03 | 26 | 35 | 16 |
Maximum width of the mandibular angle | WMA | Measured from the junction of the posterior part of m3 with the jaw to the maximally distant point on the angle of the jaw | Crania | All ungulates | 105.5 | log BM= 2.803*log(WMA)-0.352 | 0.92 | 40.5 | 2.8 | -0.35 | 209 | 293 | 124 |
Length of the ridge for the masseteric attachment | MFL | Measured from the posterior portion of the jaw glenoid to the most anterior extent of the scar for the origin of the masseter muscle | Crania | All ungulates | 153 | log BM= 2.950*log(MFL)-1.289 | 0.94 | 35.0 | 2.950 | -1.289 | 143 | 193 | 93 |
Humerus functional length (cm) | H1 | The distance between the most proximal point of the head and the most distal point of the trochlea | Postcranial | All ungulates | 19.85 | log BM= 3.4026*log(H1)-2.3707 | 0.92 | 28 | 3.4026 | -2.37 | 111 | 142 | 80 |
Humerus trochlear diameter (cm) | H4 | The transverse distance of the distal articular surface | Postcranial | All ungulates | 4.76 | log BM= 2.4815*log(H4)+0.4516 | 0.95 | 22 | 2.4815 | 0.45 | 136 | 166 | 106 |
Anteroposterior diameter of the femur (cm) | F6 | The transverse diameter of the diaphysis at its midpoint | Postcranial | All ungulates | 3.62 | log BM=2.8210*log(F6)+0.9062 | 0.94 | 23 | 2.8210 | 0.91 | 304 | 373 | 234 |
Mediolateral diameter of the shaft (cm) | F7 | The anteroposterior diameter of the diaphysis at its midpoint | Postcranial | All ungulates | 2.55 | log BM=2.6016*log (F7)+0.9119 | 0.94 | 26 | 2.6016 | 0.91 | 93 | 117 | 69 |
Diametro transverso proximal de la tibia (cm) | T2 | The transverse diameter of the tibia’s proximal epiphysis | Postcranial | All ungulates | 5.5 | log BM=2.8491*log(T2)-0.2495 | 0.95 | 21 | 2.8491 | -0.25 | 72 | 88 | 57 |
Transverse width of tibial trochlea | Li1 | Astragalus | Various mammals | 27.7 | ln BM= 2.789*ln(Li1)+2.078 | 0.98 | 28.83 | 2.79 | 2.08 | 84 | 109 | 60 |
APPENDIX 2.
Selected measurement (in cm) and multivariate equations used (Mendoza et al., 2006) to estimated the body mass in kg (BM) of MPEF-PV 8166. PE= Percent of error.
Adj. R2 | %MPE | mid PE |
LMRL | LPRL | JMA | JMC | JD | JMB | BM | BM+ mid PE | BM -mid PE |
0.98 | 21-25 | 23 | 7.56 | 5.86 | 6.53 | 10.55 | 4.88 | 177 | 217 | 167 | |
0.98 | 21-25 | 23 | 7.56 | 5.86 | 6.53 | 10.55 | 4.88 | 11.6 | 184 | 226 | 174 |