I'm doing a computational biology project in which I simulate evolution under different inheritance rulesets and I am generating phylogenetic trees (beautifully visualised in Python with ete3).
My question is: where can I find and test out some simple metrics that can describe these trees in terms of 'branchy-ness' (you can tell I'm not a bioinformatician or phylogeneticist!). I'm looking for kind of mean-field descriptors of the trees. Kind of like degree distribution for networks.
My specific goal is, like in network science, trying to see if I can differentiate between different rulesets that created the tree by examining the [statistical] properties of the tree itself.