||p.765 right column 2nd paragraph:"The evolutionary relationships between Brachypodium, sorghum, rice and wheat were assessed by measuring the mean synonymous substitution rates (Ks) of orthologous gene pairs (Supplementary Information, Supplementary Fig. 17 and Supplementary Table 16), from which divergence times of Brachypodium from wheat 32–39 Myr ago, rice 40–53?Myr ago, and sorghum 45–60?Myr ago (Fig. 3a) were estimated. The Ks of orthologous gene pairs in the intragenomic Brachypodium duplications (Fig. 3b) suggests duplication 56–72?Myr ago, before the diversification of the grasses. This is consistent with previous evolutionary histories inferred from a small number of genes [ref 3, 32, 33, 34]."