Photometric redshift classifiers provide a means of estimating galaxy redsh
ifts from observations using a small number of broad-band filters. However,
the accuracy with which redshifts can be determined is sensitive to the st
ar formation history of the galaxy, for example the effects of age, metalli
city and ongoing star formation. We present a photometric classifier that e
xplicitly takes into account the degeneracies implied by these variations,
based on the flexible stellar population synthesis code of Kodama & Arimoto
. The situation is encouraging, because many of the variations in stellar p
opulations introduce colour changes that are degenerate. We use a Bayesian
inversion scheme to estimate the likely range of redshifts compatible with
the observed colours. When applied to existing multiband photometry for Abe
ll 370, most of the cluster members are correctly recovered with little fie
ld contamination. The inverter is focused on the recovery of a wide variety
of galaxy populations in distant (z similar to 1) clusters from broadband
colours covering the 4000-Angstrom break. It is found that this can be achi
eved with impressive accuracy (\Delta z\ < 0.1), allowing detailed investig
ation into the evolution of cluster galaxies with little selection bias.