Paper Info
Title
The Fair Proportion Is a Shapley Value on Phylogenetic Networks Too.
Abstract
The Fair Proportion of a species in a phylogenetic tree is a very simple measure that has been used to assess its genetic value relative to the overall phylogenetic diversity represented by the tree. It has recently been proved by Fuchs and Jin to be equal to the Shapley Value of the coalitional game that sends each subset of species to its rooted Phylogenetic Diversity in the tree. We prove in this paper that this result extends to the natural translations of the Fair Proportion and the rooted Phylogenetic Diversity to rooted phylogenetic networks. We also generalize to rooted phylogenetic networks the expression for the Shapley Value of the unrooted Phylogenetic Diversity game on a phylogenetic tree established by Haake, Kashiwada and Su.
Year
DOI
Venue
2018
10.1101/295592
Enjoying Natural Computing
Field
DocType
Citations 
Ecology,Phylogenetic tree,Phylogenetic diversity,Biology,Shapley value,Evolutionary biology
Conference
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Tomás M. Coronado100.34
Gabriel Riera200.34
Francesc Rosselló324429.09