Comparison of annotating duplication, tree mapping, and copying as methods to compare gene trees with species trees

Abstract

This paper reviews the authors work on the idea of employing the mechanism of gene duplication in explaining the di erences between a gene and species trees Three existing approaches are presented as based on a tree mapping b annotating duplication and c copying duplication modeling Correspondences between a and b and b and c are mathematically explored It is proven in particular that approaches b and c lead to equivalent duplication histories Moreover all the three approaches equivalently count the numbers of duplications and losses needed to explain all the di erences between trees