The possibility that two data sets may have different underlying: phylogene
tic histories (such as gene trees that deviate from species trees) has beco
me an important argument against combining data in phylogenetic analysis. H
owever, two data sets sampled for a large number of taxa may differ in only
part of their histories. This is a realistic scenario and one in which the
relative advantages of combined, separate, and consensus analysis become m
uch less clear. I propose a simple methodology for dealing with this situat
ion that involves (1) partitioning the available data to maximize detection
of different histories, (2) performing separate analyses of the data sets,
and (3) combining the data but considering questionable or unresolved thos
e parts of the combined tree that are strongly contested in the separate an
alyses (and which therefore may have different histories) until a majority
of unlinked data sets support one resolution over another. In support of th
is methodology, computer simulations suggest that (1) the accuracy of combi
ned analysis for recovering the true species phylogeny may exceed that of e
ither of two separately analyzed data sets under some conditions, particula
rly when the mismatch between phylogenetic histories is small and the estim
ates of the underlying histories are imperfect (few characters, high homopl
asy, or both) and (2) combined analysis provides a poor estimate of the spe
cies tree in areas of the phylogenies with different histories but gives an
improved estimate in regions that share the same history. Thus, when there
is a localized mismatch between the histories of two data sets, the separa
te, consensus, and combined analyses may all give unsatisfactory results in
certain parts of the phylogeny. Similarly, approaches that allow data comb
ination only after a global test of heterogeneity will suffer from the pote
ntial failings of either separate or combined analysis, depending on the ou
tcome of the test. Excision of conflicting taxa is also problematic, in tha
t doing so may obfuscate the position of conflicting taxa within a larger t
ree, even when their placement is congruent between data sets. Application
of the proposed methodology to molecular and morphological data sets fur Sc
eloporus lizards is discussed.