Extended Data Fig. 9: Time series correlations and transfer entropy results for net diversification analyses assessing the impact of temporal uncertainty.

Results for all correlations showing the mean, 2.5% and 97.5% confidence intervals, and Transfer Entropy (TE) results for each habitat partition for each time series (marine = blue, terrestrial = green, freshwater = orange). N = 9,001 independent samples as derived from the diversification rate analyses. Coloured symbols represent results from sensitivity analyses, black symbols represent results from the Maximum Clade Credibility tree. Violin plots represent the distribution of results from 20 trees from the posterior distribution. All correlations are significant at p < 2.2e-16 as assessed with a Wilcoxon signed-rank test, while all transfer entropy values are significant at p < 0.001 as assessed by a Markov block boot-strap121.