We use our detailed radiative transfer model and the latitude-altitude dist
ributions of zonal mean optical properties for the Pinatubo aerosol to calc
ulate the time evolution of its instantaneous radiative forcing. We represe
nt the zonal mean of this radiative forcing in terms of the zonal mean opti
cal depth of the Pinatubo aerosol, together with the solar insolation, effe
ctive emitting temperature, daylight fraction of a day, and the planetary a
lbedo in the absence of the aerosol. We use this representation, together w
ith the volcano optical depths compiled by Sato et al. [1993], to calculate
the instantaneous and adjusted radiative forcing by volcanic aerosols from
1850 to 1994.