To determine how much of a bias, we compared the topology and internal branch lengths of trees generated by the 159,879 SNPs discovered by the OryzaSNP project and the 1,311 high-quality SNPs in this study using the 18 accessions shared between the two projects.
This test compared the summed lengths of most-parsimonious trees computed from each dataset (i.e. gene) to the lengths of trees generated from random partitions of the combined sequences of both genes [ 52], and calculated the probability of obtaining a random tree similar or shorter to the length of observed summed tree.
If you needed to cover a building wider than the length of tree, you had to join timbers together to make a "structural beam", and the strongest shape was triangular.
After an aperitif of plum wine, we sat at a long, polished table made from a single length of tree trunk for an exquisite 10-course tasting menu that included homegrown red rice crisps with hummus; carrot tempura with leek flowers; a brown rice and walnut timbale with turmeric, tomato, seaweed and pumpkin seeds; and cabbage leaves stuffed with millet and cashew nuts.
The length of tree represents the extent of diversity and the scale bar corresponds to a distance of 0.1 amino acid substitutions per alignment position.
In the other trees, constructed from sequences of TP0136, TP0548 and TP1031 genes, the sequence variability (shown as a length of tree branches) within T. p. pallidum strains is similar (or higher) than the sequence difference between T. p. pallidum and T. p. pertenue strains.
Since MP-EST can estimate both the topologies and branch lengths of species trees, gene trees simulated from the MP-EST tree can be used to approximate the distribution of gene trees expected from the multispecies coalescent model.
The branch length optimization procedure works analogously, with the only difference that xs[NUM_BRANCHES] are also updated, since optimizing the branch lengths of a tree induces continuously re-rooting the tree at the branch to be optimized.
As a result, we show that the ISTs we constructed are optimal in the sense that both the heights and the average path length of trees are minimized.
