The analytic solution to the time-dependent nucleation problem by Shi-
Seinfeld-Okuyama (SSO) [Phys. Rev. A 41, 2101 (1990)] is reviewed. The
singular perturbation solution employed by SSO is extended to examine
the effect of initial quench position on the incubation time. Two cas
es are discussed. The first investigates the role of excess vacancies
from the high temperature quench on the transient kinetics. The second
case examines the change in the incubation time due to the effects of
a preexisting subcritical cluster size distribution which forms durin
g the high temperature anneal.