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Phylogenetic relationships among species were inferred with PhyML (PHYlogenetic inferences using Maximum Likelihood) [ 44] using the WAG model.
Maximum likelihood (ML) trees were inferred with the selected model and ML-estimated substitution parameters.
Minimal number of permutations by inversions between mitochondrial genomes were inferred with GRIMM [30].
Trees were inferred with neighbour-joining and maximum likelihood methods (see methods section).
Maximum likelihood (ML) trees were inferred with PAUP* [47] and RAxML [42], [43]; bootstrap analysis was performed with RAxML.
Spatial patterns of the relative frequency of C. riparius and relevant environmental parameters at the sample sites with at least seven individuals found were inferred with spatial autocorrelation analysis.
For RAxML analysis, ML trees were inferred with the WAG+Γ+I+F for the EEF2 data and the WAG+Γ+I for the concatenated protein data (4 discrete gamma rates), and from 100 distinct randomized maximum parsimony starting trees.
All associations were inferred with an α level of 0.05.
Phylogenies were inferred with RAxML using the GTRCAT model.
Haplotypes were inferred with fastPHASE, version 1.2 [ 38].
Branch supports were inferred with 1000 bootstrap replicates.
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