We investigate techniques that can be used to determine ages of starbu
rst regions containing populations beyond their early nebular phase. I
n particular, we study the strength of the Ca II triplet (lambda lambd
a 8498, 8542, 8662) and the CO index (2.31-2.40 mu m band) using synth
etic models as the starburst evolves. For an instantaneous burst of st
ar formation, both of these absorption features remain strongest betwe
en 7 and 14 Myr, which corresponds to the red supergiant population. T
he detailed evolutionary behavior of the starburst is strongly metalli
city dependent. Low-metallicity starburst models successfully reproduc
e the distribution of equivalent widths of the Ca II triplet with age
in Large Magellanic Cloud clusters. The clusters in the red supergiant
phase strongly favor the stellar evolutionary models incorporating ma
ss-loss rates higher than the standard values. We suggest using of dia
grams involving Ca II triplet equivalent width, CO index, and nebular
recombination lines to infer the history as well as the age of starbur
st regions.