The evolution of a solar model is initialized with homogeneous models of ei
ther, pre-main sequence (P-models) or, zero-age main sequence (Z-models). T
he zero-age of a solar model is conventionally referenced as the time where
the nuclear reactions just begin to dominate gravitation as the primary so
urce of energy. Fixing the physics, we found that the structure of P- and Z
-models computed with the same physics are almost similar soon after the ex
haustion of their convective core. This similarity gives a connection betwe
en the age of the Sun t. and the time t(cal) elapsed in the calculation of
calibrated solar models. We found that a Z-model calibrated with t(cal) = t
. and a P-model calibrated with t(cal) = t. + 25 My, are indistinguishable
at the relative accuracy level of a few 10(-4).