TABLE 1. Descriptive statistics of each DMT parameter for all the hipparionin populations included in the present study. Mean body mass (BM) and the mean values of the textural parameters are also shown for each hipparionin group. Asfc = complexity, epLsar = anisotropy, HAsfc = heterogeneity of complexity calculated with a 64 cells mesh, Tfv = textural fill volume, N = sample size, sem = standard error of the mean.
Note: Fossil sites of Pentalophos and Ravin de la Pluie (a); Dytiko-1, Dytiko-2 and Dytiko-3 (b); Mytilinii A and Mytilinii B (c). Mean body mass estimations were based on metapodial measures and were calculated in this study (d) or obtained from: Vlachou (2013) (e), Orlandi-Oliveras et al. (2018) (f) and Pesquero and Alberdi (2012) (g).
(Table 1 is available as zipped file.)
TABLE 2. Results of the Principal Component Analysis performed with the four DMT variables. Percentage of variance explained by the principal component and contribution of each variable to the principal components are shown. r: correlation coefficient between the DMT variables and the principal components; r2: proportion of variance of the principal component explained by each variable.
Asfc | epLsar | HAsfc | Tfv | |||||||
Component | % of variance |
cumulative % of variance | r | r2 | r | r2 | r | r2 | r | r2 |
PC1 | 34.58 | 34.58 | -0.672 | 0.452 | 0.534 | 0.285 | -0.513 | 0.263 | -0.023 | 0.001 |
PC2 | 25.16 | 59.73 | 0.083 | 0.007 | 0.138 | 0.019 | -0.010 | 0.000 | 0.987 | 0.974 |
PC3 | 23.26 | 83.00 | -0.023 | 0.001 | 0.673 | 0.453 | 0.735 | 0.540 | -0.084 | 0.007 |
PC4 | 17.00 | 100 | -0.735 | 0.540 | -0.493 | 0.243 | 0.444 | 0.197 | 0.135 | 0.018 |
TABLE 3. Summary of the linear regressions of the DMT parameters and the calculated principal component (PC1) against body mass. Graphs available at Appendix 6.
Asfc | epLsar | HAsfc | Tfv | PC1 | ||||||
Summary Linear Regressions | p-value | R2 | p-value | R2 | p-value | R2 | p-value | R2 | p-value | R2 |
All Data | 0.084 | 0.008 | 0.185 | 0.005 | 0.901 | <0.001 | 0.087 | 0.008 | 0.116 | 0.007 |
Western Mediterranean | 0.601 | 0.002 | 0.125 | 0.014 | 0.006 | 0.044 | 0.889 | <0.001 | 0.028 | 0.028 |
Balkans | 0.328 | 0.007 | 0.591 | 0.002 | <0.001 | 0.010 | 0.121 | 0.018 | 0.449 | 0.004 |
Western Anatolia | 0.121 | 0.036 | 0.990 | <0.001 | 0.526 | 0.006 | 0.169 | 0.029 | 0.204 | 0.024 |
TABLE 4. ANOVA results for rank-transformed textural variables. Significant differences highlighted in bold.
Asfc | epLsar | |||||||
Source of Variance | df | SS | F | p-value | df | SS | F | p-value |
Age | 1 | 295805 | 30.229 | < 0.001 | 1 | 151118 | 13.777 | < 0.001 |
Region | 1 | 506330 | 51.743 | < 0.001 | 1 | 8926 | 0.814 | 0.368 |
Size | 1 | 92512 | 9.454 | 0.002 | 1 | 78955 | 7.198 | 0.008 |
Age x Region | 1 | 22074 | 2.256 | 0.134 | 1 | 17151 | 1.564 | 0.212 |
Age x Size | 1 | 80214 | 8.197 | 0.004 | 1 | 29078 | 2.651 | 0.104 |
Region x Size | 1 | 32516 | 3.323 | 0.069 | 1 | 110058 | 10.034 | 0.002 |
Error | 365 | 3571703 | 365 | 4003657 | ||||
HAsfc | Tfv | |||||||
Source of Variance | df | SS | F | p-value | df | SS | F | p-value |
Age | 1 | 2 | 0.000 | 0.990 | 1 | 2482 | 0.220 | 0.639 |
Region | 1 | 2396 | 0.221 | 0.639 | 1 | 31786 | 2.820 | 0.094 |
Size | 1 | 306 | 0.028 | 0.867 | 1 | 32824 | 2.912 | 0.089 |
Age x Region | 1 | 113296 | 10.432 | 0.001 | 1 | 16282 | 1.444 | 0.230 |
Age x Size | 1 | 27647 | 2.546 | 0.111 | 1 | 75853 | 6.729 | 0.010 |
Region x Size | 1 | 160919 | 14.818 | < 0.001 | 1 | 29595 | 2.625 | 0.106 |
Error | 365 | 3963924 | 365 | 4114613 |
Note: df: degree of freedom; SS: Sum of Square; F: F-statistic
TABLE 5. Summary of post-hoc results on Region-Size interaction. DMT parameters rank-transformed before analysis. The name of the parameter is shown if the difference were significant. When both LSD and HSD detect significant differences, the name of the parameter is shown in bold.
Vallesian | Turolian | ||||
Age x Size Interaction | Small | Large | Small | Large | |
Vallesian | Small | ||||
Large | Tfv | ||||
Turolian | Small | Tfv | |||
Large | Tfv | Asfc | Asfc |
TABLE 6. Summary of post-hoc results on Region-Size interaction. DMT parameters rank-transformed before analysis. The name of the parameter is shown if the difference were significant. When both LSD and HSD detect significant differences, the name of the parameter is shown in bold.
Western Mediterranean | Eastern Mediterranean | ||||
Region x Size Interaction | Small | Large | Small | Large | |
Western Mediterranean | Small | ||||
Large | epLsar, HAsfc | ||||
Eastern Mediterranean | Small | HAsfc | |||
Large | epLsar | HAsfc | HAsfc |
TABLE 7. Summary of post-hoc results on Age-Region interaction. DMT parameters rank-transformed before analysis. The name of the parameter is shown if the difference were significant. When both LSD and HSD detect significant differences, the name of the parameter is shown in bold.
Western Mediterranean | Eastern Mediterranean | ||||
Age x Region Interaction | Vallesian | Turolian | Vallesian | Turolian | |
Western Mediterranean | Vallesian | ||||
Turolian | |||||
Eastern Mediterranean | Vallesian | ||||
Turolian | HAsfc |
TABLE 8. Nested ANOVA results for rank-transformed textural variables and PC1 of Turolian taxa. Significant differences highlighted in bold.
Asfc | epLsar | HAsfc | ||||||||||
Source of Variance | df | SS | F | p-value | df | SS | F | p-value | df | SS | F | p-value |
Bioprovince | 2 | 297866 | 29.200 | < 0.001 | 2 | 5116 | 0.435 | 0.648 | 2 | 35666 | 3.132 | 0.045 |
Group (Bioprovince) | 9 | 137469 | 2.995 | 0.002 | 9 | 162174 | 3.065 | 0.002 | 9 | 185064 | 3.611 | < 0.001 |
Locality (Group) | 11 | 97747 | 1.742 | 0.065 | 11 | 164959 | 2.551 | 0.004 | 11 | 159116 | 2.540 | 0.005 |
Error | 258 | 1315898 | 258 | 1516729 | 258 | 1469134 | ||||||
Tfv | PC1 | |||||||||||
Source of Variance | df | SS | F | p-value | df | SS | F | p-value | ||||
Bioprovince | 2 | 27124 | 2.129 | 0.121 | 2 | 125488 | 11.502 | < 0.001 | ||||
Group (Bioprovince) | 9 | 50479 | 0.881 | 0.543 | 9 | 199755 | 4.069 | < 0.001 | ||||
Locality (Group) | 11 | 128135 | 1.829 | 0.050 | 11 | 116326 | 1.939 | 0.035 | ||||
Error | 258 | 1643242 | 258 | 1407411 |
Note: df: degree of freedom; SS: Sum of Square; F: F-statistic