The climate response depends not only upon the TOA forcing, but its difference with respect to the surface value, which
represents radiative heating within the atmosphere.
Not exact matches
If you can't keep up with annual - decadal changes in the TOA
radiative imbalance or ocean
heat content (because of failure to correctly model changes in the atmosphere and ocean due to natural variability), then your climate model lacks fidelity to the real world system it is tasked to
represent.
[1] Total absorbed radiation (TAR), the sum of SNR [shortwave net radiation] and LDR [longwave downward radiation],
represents the total
radiative energy available to maintain the Earth's surface temperature and to sustain the turbulent (sensible and latent)
heat fluxes in the atmosphere.
Su — Fo (= Su — OLR (= G)-RRB-
represents a net upward LW energy flow in the atmosphere, (Ed — Eu)(= G)
represents a net downward LW flux (as we said: Ed is the downwelling
radiative heating, Eu has it energetic source in the sum of K and F).