Random effects and model fitness
| Random effects | Model I | Model II | Model III | Model IV | Model V |
| Community variance (SE) | 0.44 (0.187) | 0.32 (0.177) | 0.40 (0.18) | 0.31 (0.17) | 0.30 (0.16) |
| Intracluster correlation coefficient (%) | 11.70 | 9 | 10 | 8 | 0.70 |
| Proportional change in community variance (%) | Reference | 25.30 | 8 | 29.20 | 35 |
| Median OR (95% CI) | 1.88 (1.27 to 2.34) | 1.72 (1.10 to 2.16) | 1.83 (1.23 to 2.28) | 1.70 (1.16 to 2.14) | 1.40 (1.22 to 2.01) |
| Model fitness | |||||
| Log-likelihood | −732.80 | −701 | −729.20 | −688.09 | −520.12 |
| Deviance (−2×log-likelihood ratio) | 1465.60 | 1402 | 1458.40 | 1376.18 | 1040.24 |