We consider methods for estimating the relative contributions of different
demographic components, and their associated vital rates, to population gro
wth. We identify components of the population at time i (including a compon
ent for animals not in the population at i). For each such component we ask
the following question: "What is the probability that an individual random
ly selected from the population at time i + 1 was a member of this componen
t at i?" The estimation methods for these probabilities (gamma (i)) are bas
ed on capture-recapture studies of marked animal populations and use revers
e-time modeling. We consider several different sampling situations and pres
ent example analyses for meadow voles. Microtus pennsylvanicus. The relatio
nship between these gamma (i) parameters and elasticities (and other parame
ters based on projection matrix asymptotics) is noted and discussed. We con
clude by suggesting that model-based asymptotics be viewed as demographic t
heory and that direct estimation approaches be used to test this theory wit
h data from sampled populations with marked animals.