I'm not talking about calculating temperature either moron.
Please tell me. Which radiative function is far enough away from linear that it changes the total simple results more than say... 10%?
I say the total radiative forcing in the atmosphere will change from approximately 519 watts/sq meter to about 510 if we dim the solar energy to 97.3% of it's current value. A reduction of about 9 watts/sq meter. The calculation at +/- 10% error would be 7.94 to 9.71 watts/sq meter. Would these nonlinear variables make the change less than 7.94 watts/sq meter? I think not. Maybe it will make the change more than the 9.71 watt/sq meter change, because if I did work in the nonlinear variables more precise, I'm pretty certain they work in favor of my argument.
Same with the downward IR. The 324 goes decreases by 4.96 to 6.06 watts/square meter reduction if we have 98.3% of the incoming solar energy as we have now, and allow a 10% variation for using simple linear functions instead adding the nonlinear component. The IPCC claims we increased this forcing by 1.6 watts/sq meter and made about a 0.7 degree change. Do we really want to cool the earth by more than 2 degrees?
Manny is correct. A small change make a large change in radiative forcing and temperature.
Again, my claim is that the 1.7% reduction of solar energy is too much.

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close to linear