Table 1.
Model selection tables for bee and hoverfly interspecific models
| Model No. | Taxa | Model type | Model formulae | R2 | K‐CV | Δ | RMSE |
|---|---|---|---|---|---|---|---|
| 1 | Bees | Taxo. GLMM | ln(Dry weight) ~ ln(ITD) + Family + Sex+ Family:ln(ITD) + Sex:ln(ITD) + (1 | Region/Species) | 0.946 | 2763.7 | 0 | 11.313 |
| 2 | ln(Dry weight) ~ ln(ITD) + Family + Sex + Sex:ln(ITD) + (1 | Region/Species) | 0.946 | 2774.3 | 10.7 | 11.216 | ||
| 3 | ln(Dry weight) ~ ln(ITD) + Family + Sex + (1 | Region/Species) | 0.946 | 2778.2 | 14.5 | 11.629 | ||
| 4 | ln(Dry weight) ~ ln(ITD) + Family + Sex + Family:ln(ITD) + (1 | Region/Species) | 0.946 | 2790.9 | 27.3 | 11.588 | ||
| 5 | ln(Dry weight) ~ ln(ITD) + Sex | 0.945 | 2803.7 | 30.9 | 11.339 | ||
| 6 | ln(Dry weight) ~ ln(ITD) + Sex + Sex:ln(ITD) | 0.945 | 2834.6 | 70.9 | 10.937 | ||
| 7 | ln(Dry weight) ~ ln(ITD) + Family + (1 | Region/Species) | 0.943 | 2945.3 | 181.7 | 12.092 | ||
| 8 | ln(Dry weight) ~ ln(ITD) + Family + Family:ln(ITD) + (1 | Region/Species) | 0.943 | 2951.5 | 187.9 | 12.462 | ||
| 9 | ln(Dry weight) ~ ln(ITD) + (1 | Region/Species) | 0.942 | 2985.9 | 222.3 | 11.896 | ||
| 10 | ln(Dry weight) ~ ln(ITD) | 0.898 | 4990.2 | 2226.6 | 15.565 | ||
| 1 | Bees | Phylo. GLMM | ln(Dry weight) ~ ln(ITD) + Sex +Sex:ln(ITD) + (1|Region/Species) | 0.944 | 2882.5 | 0 | 10.228 |
| 2 | ln(Dry weight) ~ ln(ITD) + Sex + (1|Region/Species) | 0.944 | 2920.3 | 37.8 | 10.519 | ||
| 3 | ln(Dry weight) ~ ln(ITD) + (1|Region/Species) | 0.941 | 3079.5 | 197 | 10.997 | ||
| 1 | Hoverflies | Taxo. GLMM | ln(Dry weight) ~ ln(ITD) + Sex + Sex:ln(ITD) + (1|Region/Species) | 0.820 | 520.6 | 0 | 4.747 |
| 2 | ln(Dry weight) ~ ln(ITD) + Subf + Sex + (1|Region/Species) | 0.820 | 531.9 | 11.3 | 4.649 | ||
| 3 | ln(Dry weight) ~ ln(ITD) + Subf + Sex + Sex:ln(ITD) + (1|Region/Species) | 0.819 | 533.3 | 12.7 | 4.725 | ||
| 4 | ln(Dry weight) ~ ln(ITD) + Subf + Sex + Subf:ln(ITD) + (1|Region/Species) | 0.820 | 533.6 | 13 | 4.743 | ||
| 5 | ln(Dry weight) ~ ln(ITD) + Sex + (1|Region/Species) | 0.821 | 537.4 | 16.8 | 4.663 | ||
| 6 | ln(Dry weight) ~ ln(ITD) + Subf +Sex + Subf:ln(ITD) + Sex:ln(ITD) + (1|Region/Species) | 0.819 | 538.7 | 18.1 | 4.896 | ||
| 7 | ln(Dry weight) ~ ln(ITD) + (1|Region/Species) | 0.810 | 544.8 | 24.2 | 4.808 | ||
| 8 | ln(Dry weight) ~ ln(ITD) + Subf + (1|Region/Species) | 0.810 | 548.2 | 27.6 | 4.801 | ||
| 9 | ln(Dry weight) ~ ln(ITD) + Subf + Subf:ln(ITD) + (1|Region/Species) | 0.811 | 552.1 | 31.5 | 4.886 | ||
| 10 | ln(Dry weight) ~ ln(ITD) | 0.762 | 600.6 | 80 | 6.170 |
Models in bold are those included in the R package. Model types: (a) Taxo. GLMM: taxonomic generalized linear mixed models and (b) Phylo GLMM: phylogenetic generalized linear mixed model. lnITD: ln intertegular distance (mm), Subf: Subfamily, R2: Bayesian R2, K‐CV: K‐fold cross‐validation, Δ: ΔK‐fold CV and RMSE: root‐mean‐square error. Model parameters of the best‐fitting models are shown in Supporting Information Appendix S1.