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This equation is applied successively to each node in the tree, doing a postorder tree traversal.
CPVs are computed recursively via a postorder traversal propagating from the leaves towards the root (Felsenstein, 1981).
Equation (10) is applied successively to each inner node in the tree, doing a postorder tree traversal.
Because of the ladder-like nature of the phylogenies, each tree was linearized using a postorder traversal of the tree, allowing visualisation of rate through time.
Doing a postorder tree traversal assign successively to each node in the tree the abovementioned four values left(a), right(a), Z(a), and X(a).
By processing nodes in postorder, we ensure that all S u ′, v ′[ A′, B′] are previously computed for (u′, v′)≠ u, v).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com