Parsimony analysis provides a straightforward way of assessing homology on
a tree: a state shared by two terminals comprises homologous similarity if
optimization attributes that state to all the stem species lying between th
ose terminals. Three-taxon statements (3ts), although seemingly "exact" in
that each either fits a tree or does not, do not provide a satisfactory ass
essment of homology, because that assessment can be internally contradictor
y and because 3ts systematically exclude homologous resemblance in reversed
states. Modified 3ts analysis (m3ta), a method in which both plesiomorphic
and apomorphic states of "paired homologue" (PH) characters (those other t
han presence/absence data) are regarded as "informative" (able to distingui
sh groups), can (obviously) group by symplesiomorphy and so form paraphylet
ic groups unless data are clocklike enough. Patterson's pattern analysis (p
pa) has the same shortcoming, to which it adds the drawback that only chara
cters fitting the tree perfectly are used, a restriction that can easily le
ad to discarding most of the structure in the data. Revised m3ta (rm3ta), a
method in which plesiomorphic states are not taken as informative, can als
o form paraphyletic groups, because it cannot apply reversals as apomorphie
s. The idea that knowledge of phylogeny has been derived from classificatio
ns does not imply that nonevolutionary methods should be employed for class
ification, but instead means that systematic methods must be logically capa
ble of phylogenetic interpretation. Neither m3ta nor rm3ta satisfies that r
equirement because of their contradictory assessments of homology. (C) zool
The Willi Hennig Society.