Crozier (Biol. Conserv., 61, 1992) has proposed two measures for taxon
-weighting, a uniqueness index and a product-formula, both based on ge
netic distances or branch lengths interpreted as estimates of probabil
ities of evolutionary change. I provide new versions of each measure t
hat correct limitations in their original formulation. However, I also
demonstrate other undesirable properties of these measures, including
:failure to reflect complementarity among taxa, incompatibility with t
he additivity property of branch lengths, and poor prediction of under
lying feature diversity of taxon subsets. The examples presented here
also counter Crozier's conjecture that the product-formula measure wil
l tend to yield results similar to the phylogenetic diversity (PD) mea
sure of Faith (Biol. Conserv., 61, 1992). An alternative probabilistic
interpretation of branch lengths, based on a Poisson distribution, av
oids the problems of Crozier's probabilistic measures. The correspondi
ng probabilistic measure derived here is shown to be monotonically rel
ated to PD, and so provides a further probabilistic rationale for phyl
ogenetic diversity as an indicator of underlying feature diversity pat
terns among taxa.