Quantifying the accuracy of ancestral state prediction in a phylogenetic tree under maximum parsimony.

Autor: Herbst, Lina, Li, Heyang, Steel, Mike
Předmět:
Zdroj: Journal of Mathematical Biology; May2019, Vol. 78 Issue 6, p1953-1979, 27p
Abstrakt: In phylogenetic studies, biologists often wish to estimate the ancestral discrete character state at an interior vertex v of an evolutionary tree T from the states that are observed at the leaves of the tree. A simple and fast estimation method—maximum parsimony—takes the ancestral state at v to be any state that minimises the number of state changes in T required to explain its evolution on T. In this paper, we investigate the reconstruction accuracy of this estimation method further, under a simple symmetric model of state change, and obtain a number of new results, both for 2-state characters, and r-state characters ( r > 2 ). Our results rely on establishing new identities and inequalities, based on a coupling argument that involves a simpler 'coin toss' approach to ancestral state reconstruction. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index