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- W2014769761 abstract "Reconstructing phylogenetic trees using the criterion of minimum evolution requires the use of a formula F T ( d ) that estimates the total length of a tree T given only the estimated distances d between the leaves of the tree. Let U ( T ) be the collection of linear formulas F T ( d ) that correctly estimate the total length of T whenever d is an additive distance function on T . The current paper characterizes a subset U + ( W ) of U ( W ) for each tree W such that whenever T is a completely resolved tree, F T is in U ( T ) , F W is in U + ( W ) , and d is positively additive on T , then F T ( d ) < F W ( d ) . As a consequence, the use of minimum evolution is consistent provided that the length of each tree W is estimated using a member of U + ( W ) . It is shown how to find many explicit members of U + ( W ) for each W . The ordinary least-squares expression for W is shown to be in U + ( W ) ." @default.
- W2014769761 created "2016-06-24" @default.
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- W2014769761 date "2005-06-01" @default.
- W2014769761 modified "2023-09-29" @default.
- W2014769761 title "Consistent formulas for estimating the total lengths of trees" @default.
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- W2014769761 doi "https://doi.org/10.1016/j.dam.2005.03.005" @default.
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