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For the termite phylogeny, maximum likelihood (ML) inference was carried out using RAxML v8.2.9 assuming the GTR + Γ substitution model with 1,000 random starting trees and statistical support obtained from 1,000 bootstrap replicates21.

Maximum likelihood inference was carried out in RA×ML 7.0.4 [40] at the AMNH Computational Sciences facility on an 8-way server with 2.2 GHz AMD Opteron 846 processors and 128 GB RAM using the fine-grained parallel Pthreads (POSIX Threads Library; [41]) and on the CIPRES cluster (http://www.phylo.org) using the MPI (Message Passing Interface; [42], [43]) implementations.

Bayesian phylogenetic inference was carried out using MrBayes 3.1.2 [ 69].

Bayesian phylogenetic inference was carried out with MrBayes v.3.1.2 [ 84].

Bayesian phylogenetic inference was carried out with MrBayes version 3.2 [ 56].

Partitioned Maximum Likelihood phylogenetic inference was carried out with RAxML 7.2.7 [ 40].

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In each case, full Bayesian inference is carried out using Markov chain Monte Carlo simulation.

Bayesian inference is carried out by utilizing bounds for both the image and blur priors using a majorization-minimization principle.

In some diagrammatic systems (e.g., Euler Circles) inference is carried out by constructing diagrams correctly and reading information off them.

Inference is carried out using INLA and for some cases results are compared with MCMC.

Primary phylogenetic analyses using Bayesian inference were carried out in MrBayes 3.2.1 [ 48].

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