A method is described to assess directly the number of DNA sequence tr
ansformations, evolutionary events, required by a phylogenetic topolog
y without the use of multiple sequence alignment. This is accomplished
through a generalization of existing character optimization procedure
s to include insertion and deletion events (indels) in addition to bas
e substitutions. The crux of the model is the treatment of indels as p
rocesses as opposed to the patterns implied by multiple sequence align
ment. The results of this procedure are directly compatible with parsi
mony-based tree lengths. In addition to the simplicity of the method,
it appears to generate more efficient (simpler) explanations of sequen
ce variation than does multiple alignment. (C) 1996 The Willi Hennig S
ociety.