There are a number of measures of degrees of similarity between rooted binary trees. Many of these ignore sections of the trees which are in complete agreement. We use computational experiments to investigate the statistical characteristics of such a measure of tree similarity for ordered, rooted, binary trees. We generate the trees used in the experiments iteratively, using the Yule process modeled upon speciation.
"Average reductions between random tree pairs." Involve 8 (1) 63 - 69, 2015. https://doi.org/10.2140/involve.2015.8.63