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. 2016 Nov 1;6(23):8502–8514. doi: 10.1002/ece3.2390

Table 3.

Evolutionary history indices used in the study.a

Index Description Formula Author
Phylogenetic Diversity Loss PDloss Loss of PD when a set of species {x} is driven extinct
PDloss (tree,{x})=ΣjtreeLjΣjtree{x]Lj
Faith (1992)
Expected Phylogenetic Diversity Loss ExpPDloss Expected loss of phylogenetic diversity
ExpPDloss (tree, proba)=ΣjLjΣjLj(1djpdj)
Faith (2008)
Evolutionary Distinctiveness and Global Endangerment EDGE Combination of species evolutionary distinctiveness and extinction risk
EDGEi=ln(1+ΣjP(i,Root)Lj/nj)+ln(2)GEi
Isaac et al. (2007)
Heightened Evolutionary Distinctiveness and Global Endangerment HEDGE (version relevant to species extinctions) Contribution of a given species to expected loss of phylogenetic diversity
HEDGEi=jP(i,Root)LjsC(j)ps
Steel et al. (2007)
a

L j is the length of a branch j on tree, a phylogenetic tree; p dj is the probability of extinction of the dth descendant of branch j within a defined period of time; proba is the vector of species' probabilities of extinction; P(i, Root) is the set of branches on the shortest path from species i to the root of the tree; n j is the number of species descending from branch j; GE i is a value of global endangerment for species i ranging from 0 (least concerned species) to 4 (critically endangered species); p s accounts for the probability of extinction of species s; C(j) denotes the set of species (including species i) that descend from a branch j.