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The model selected (with lower AIC) was the most exhaustive model and includes phylogenetic relatedness, all climate variables and interactions between each variable.
The model selected with jModelTest was implemented, but parameters were estimated simultaneously with the BEAST analyses.
The analysis used the composite model selected with the AICc, with all parameters unlinked among partitions.
For TraG, the best model selected with ProtTest3 was LG+G+I.
In each case we used the substitution model most closely resembling the model selected with MrModelTest.
Phyml v2.4.4 [ 45] was used with the online web server [ 46] for maximum likelihood analysis using the GTR+I+G substitution DNA model selected with ModelTest [ 47] and JTT substitution model selected with ModelGenerator for the protein analyses [ 48].
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Analyses were run for 100 million generations using the nucleotide substitution models selected with JMODELTEST GTRR + I + G [ 56]).
The evolutionary model used for all data blocks in RAxML was GTRGAMMA, while the Garli settings were adjusted according to the best-fit models selected with PartitionFinder.
For the cyt b gene, the model selected was HKY85 with a correction for rate variation among sites (α = 0.003).
All other factors being equal, each 'best model' selected was that with the strongest pseudo R-square statistics.
The final model selected had structural equation coefficients with one-tailed probabilities less than 0.05.
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