Table 1.
Results of the PLRs testing the link between the different predictors and establishment success
| Univariate models | Best model | ||||
| Variables | Coefficients | D2 | Coefficients | D2 | ΣwAIC |
| Event-level factors | |||||
| Years since introduction | 0.776 (0.731, 0.835) | 0.10 | 0.570 (0.540, 0.599) | 0.26 | 1.00 (0.97, 1.00) |
| Introduction events | 0.912 (0.877, 0.947) | 0.08 | 0.566 (0.541, 0.610) | 0.64 (0.57, 0.71) | |
| Imported birds | 0.643 (0.594, 0.682) | 0.07 | 1.012 (0.982, 1.036) | 1.00 (1.00, 1.00) | |
| Species-level factors | |||||
| Clutch size | 0.291 (0.240, 0.355) | 0.01 | 0.560 (0.527, 0.590) | 0.55 (0.43, 0.70) | |
| Brood value | 0.186 (0.149, 0.260) | 0.01 | 0.22 (0.15, 0.32) | ||
| Body mass | −0.347 (−0.403, −0.293) | 0.03 | 0.12 (0.10, 0.14) | ||
| Range size | 0.278 (0.107, 0.339) | 0.00 | 0.10 (0.08, 0.13) | ||
| Brain size | 0.361 (0.372, 0.450) | 0.03 | 0.17 (0.11, 0.30) | ||
| Niche breadth | 0.417 (0.270, 0.439) | 0.03 | 0.669 (0.64, 0.702) | 0.98 (0.96, 1.00) | |
| Migrant | −0.464 (−1.239, −0.141) | 0.02 | 0.12 (0.10, 0.14) | ||
| Location-level factors | |||||
| Climate matching | 0.136 (−0.075, 0.215) | 0.00 | 0.09 (0.07, 0.11) | ||
Standardized regression coefficients are shown for univariate models and for the best multivariate model based on AICc. The parameter estimates that are significantly different from zero (P < 0.05) are indicated by bold numbers. Relative importance of variables (ΣwAIC) based on a multimodel information theory-based approach is shown. Variables with the strongest support (ΣwAIC ≥ 0.8) are shown in bold. Regression coefficients and ΣwAIC values represent the median and the central range that contains 95% of values for 1,000 phylogenetic trees. Goodness-of-model fit, as evaluated by calculating the explained deviance (D2) from the nonphylogenetic logistic regression, is also provided.