Biodiversity, Shapely Value and Phylogenetic Trees: Some Remarks - HAL Accéder directement au contenu
Pré-publication, Document de travail Année : 2017

Biodiversity, Shapely Value and Phylogenetic Trees: Some Remarks

Résumé

This paper explores the main differences between the Shapley Values of a set of taxa introduced by Haake et al. [4] and Fuchs and Jin [3], the latter having been found identical to the Fair Proportion Index (Redding and Mooers [10]). In line with Shapley [13], we identify the cooperative game basis for each of these two classes of phylogenetic games and use them (i) to construct simple formulas for these two Shapley values and (ii) to compare these different approaches. Using the set of weights of a phylogenetic tree as a parameter space, we then discuss the conditions under which these two values coincide and, if they are not the same, revisit Hartman's [5] convergence result. Finally, we compare the species ranking induced by these two values. Considering the Kendal and the Spearman rank correlation coefficient, simulations show that these rankings are strongly correlated.
Fichier principal
Vignette du fichier
WP 2017 - Nr 41.pdf ( 550.36 Ko ) Télécharger
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

halshs-01630069, version 1 (07-11-2017)

Identifiants

  • HAL Id : halshs-01630069 , version 1

Citer

Hubert Stahn. Biodiversity, Shapely Value and Phylogenetic Trees: Some Remarks. 2017. ⟨halshs-01630069⟩
109 Consultations
175 Téléchargements
Dernière date de mise à jour le 05/05/2024
comment ces indicateurs sont-ils produits

Partager

Gmail Facebook Twitter LinkedIn Plus