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dc.contributor.authorFuchs, Michaelen_US
dc.contributor.authorJin, Emma Yuen_US
dc.date.accessioned2015-12-02T02:59:27Z-
dc.date.available2015-12-02T02:59:27Z-
dc.date.issued2015-11-01en_US
dc.identifier.issn0303-6812en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s00285-014-0853-0en_US
dc.identifier.urihttp://hdl.handle.net/11536/128213-
dc.description.abstractThe Shapley value and the fair proportion index of phylogenetic trees have been introduced recently for the purpose of making conservation decisions in genetics. Moreover, also very recently, Hartmann (J Math Biol 67:1163-1170, 2013) has presented data which shows that there is a strong correlation between a slightly modified version of the Shapley value (which we call the modified Shapley value) and the fair proportion index. He gave an explanation of this correlation by showing that the contribution of both indices to an edge of the tree becomes identical as the number of taxa tends to infinity. In this note, we show that the Shapley value and the fair proportion index are in fact the same. Moreover, we also consider the modified Shapley value and show that its covariance with the fair proportion index in random phylogenetic trees under the Yule-Harding model and uniform model is indeed close to one.en_US
dc.language.isoen_USen_US
dc.subjectPhylogenetic treesen_US
dc.subjectShapley valueen_US
dc.subjectFair proportion indexen_US
dc.subjectMomentsen_US
dc.subjectCorrelationen_US
dc.titleEquality of Shapley value and fair proportion index in phylogenetic treesen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s00285-014-0853-0en_US
dc.identifier.journalJOURNAL OF MATHEMATICAL BIOLOGYen_US
dc.citation.volume71en_US
dc.citation.spage1133en_US
dc.citation.epage1147en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000362582900005en_US
dc.citation.woscount0en_US
Appears in Collections:Articles