Biodiversity, Shapley value and phylogenetic trees: some remarks
نویسندگان
چکیده
منابع مشابه
The Shapley Value of Phylogenetic Trees
Every weighted tree corresponds naturally to a cooperative game that we call a tree game; it assigns to each subset of leaves the sum of the weights of the minimal subtree spanned by those leaves. In the context of phylogenetic trees, the leaves are species and this assignment captures the diversity present in the coalition of species considered. We consider the Shapley value of tree games and ...
متن کاملOn the Shapley Value of Unrooted Phylogenetic Trees.
The Shapley value, a solution concept from cooperative game theory, has recently been considered for both unrooted and rooted phylogenetic trees. Here, we focus on the Shapley value of unrooted trees and first revisit the so-called split counts of a phylogenetic tree and the Shapley transformation matrix that allows for the calculation of the Shapley value from the edge lengths of a tree. We sh...
متن کاملEquality of Shapley value and fair proportion index in phylogenetic trees.
The 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 valu...
متن کاملColloquium paper: phylogenetic trees and the future of mammalian biodiversity.
Phylogenies describe the origins and history of species. However, they can also help to predict species' fates and so can be useful tools for managing the future of biodiversity. This article starts by sketching how phylogenetic, geographic, and trait information can be combined to elucidate present mammalian diversity patterns and how they arose. Recent diversification rates and standing diver...
متن کاملPhylogenetic trees and the future of mammalian biodiversity
*National Center for Ecological Analysis and Synthesis, University of California, 735 State Street, Santa Barbara, CA 93101; †Division of Biology and ‡Natural Environment Research Council Centre for Population Biology, Department of Life Sciences, Imperial College London, Silwood Park Campus, Ascot SL5 7PY, United Kingdom; §Institute of Zoology, Zoological Society of London, Regent’s Park, Lond...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2019
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-019-01439-z