Tree Balance Indices: A Comprehensive Survey (Paperback)

Part I: Introduction.- 1 Opening Remarks.- 2 Preliminaries.- 3?A brief sketch on the relevance and history of tree balance.- 4?Concepts of tree balance and imbalance.- Part II:?Tree balance and imbalance indices.- 5?Sackin index.- 6 Average leaf depth.- 7 Variance of leaf depths.- 8?Total cophenetic index.- 9?s-shape statistic.- 10?B1 index.- 11 B2 index.- 12?Colless index.- 13?Corrected Colless index.- 14?Equal weights Colless index / I2 index.- 15?Quadratic Colless index.- 16?Colless-like indices.- 17 I-based indices.- 18 Symmetry nodes index.- 19 Rogers J index.- 20?Rooted quartet index.- 21?Col n-Plazzotta rank.- 22?Furnas rank.- 23?Less established tree shape statistics that are (im)balance indices.- 24?Related tree shape statistics that are not (im)balance indices.- 25?Extended and alternative measures of tree balance.- Part III: Applications and outlook.- 26?Software.- 27?Applications.- 28?Discussion and outlook.- Appendix A:?Lookup Tables.