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Statistical box plots and distributions were drawn using R v2.7.0 [ 49].

This test helps determining if two empirical distributions were drawn from the same population distribution or from two different ones.

Kernel density plots of the minor allele frequency and site heterozygosity distributions were drawn in R with the 'sm' package [ 73].

The analysis was run using 500,000 MCMC replications as a burnin followed by 1 million replications from which posterior distributions were drawn.

We next tested whether the number of pairs of species that have the same niche preferences differs from that obtained if species habitat distributions were drawn at random (proportion 0.635).

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For all cases, including tonal noise represented with relatively few modes, it is shown that statistical characteristics can be described by common probability density functions and conclusions about mean attenuation, deviation from the mean, and cumulative distributions are drawn.

Results are presented in Table 5 as a series of single-locus probabilities and in Figure 8 where posterior distributions are drawn.

In such a case, their distributions are drawn from knowledge extracted from the literature or based on reasonable assumptions.

Samples from the posterior distribution were drawn with Gibbs sampling, implemented in the JAGS Gibbs sampling environment (Plummer 2003).

Samples from the posterior distribution were drawn every 2,000 steps over 10 steps of a single chain, with the first 10% of samples discarded as burn-in.

The volcanic ash distribution is drawn based on Takarada et al. (2014).

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