The area per pair index calculates the sum of the number of edges on the path between all two leaves. Instead, the area per pair index (APP) can also be derived from the Sackin (S) and total cophenetic index (TC): \( APP = \frac{2}{n}\cdot S - \frac{4}{n(n-1)}\cdot TC\) \(APP = 2/n * S - 4/(n(n-1)) * TC\)
area_per_pair(phy, normalization = "none")
Area per pair index
phylo object or ltable
"none" or "yule", in which case the acquired result is divided by the expectation for the Yule model.
T. Araújo Lima, F. M. D. Marquitti, and M. A. M. de Aguiar. Measuring Tree Balance with Normalized Tree Area. arXiv e-prints, art. arXiv:2008.12867, 2020.