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The geometric algebra model (G-MODEL) of an EM vector-sensor array is given in [17].

Although strong, this assumption facilitates the reporting and discussion of results, while verifying the assumption of better performance of wG models over G BASE models.

The model parameter "ampl" of model "g" is frozen at its current value.

All model parameters specified in model "g" are frozen at their current values.

The likelihood can then be modeled as a Gaussian distribution g image | b c ∼ N ( g model, Σ g image − g model ) or equivalently p(g image|b c) = p(δ g) with δ g ∼ N ( 0, Σ δ g ).

Fig. 3 Comparison between Fabry-Pérot filter model (FPM), gaussian model (G) and practical realization of a filter (P4) from [7] (FPG).

In such a model the ψ1 lineages indeed evolve at a rate that is not different from 1 as expected (model G versus model F, Table 1, Table S6).

For the BI analysis, two model settings (GTR + G model and best-fit models) were carried out on the 12 PSs (Additional file 13).

The log-likelihood ratio statistic (-2lnLR) was used to test the difference in goodness of fit between model G(A) + G(X) and model G(A), and between model Gc(A + X) + Pol and model Gc(A + X).

The neighbor joining (NJ) phylogeny was performed by MEGA version 6.0 with 1000 replicas; since LG + G is not available in MEGA, we use next available best model JJT + G model, and pairwise deletion.

Adding deprivation to this model (model G) did not significantly improve the fit, although the test for trend was of borderline significance.