Jeff, the 1C value for a forcing of 3.7 W / m ^ 2 (the canonical value for doubled CO2 based
on radiative transfer equations and spectroscopic data) is derived by differentiating the Stefan - Boltzmann equation that equates flux (F) to a constant (sigma) x the fourth power of temperature.
see fred «'' Jeff, the 1C value for a forcing of 3.7 W / m ^ 2 (the canonical value for doubled CO2 based
on radiative transfer equations and spectroscopic data) is derived by differentiating the Stefan - Boltzmann equation that equates flux (F) to a constant (sigma) x the fourth power of temperature.
I would argue that if we use a simple radiative model with a variety of assumptions, no upper atmosphere cooling but only warming will occur with increased CO2 (see # 333), based
on the radiative transfer equations and the Second Law of thermodynamics, but when other complexities are introduced, this might change.
Not exact matches
The core science, the
radiative transfer equations that determine the way increasing CO2 increases the temperatures gradient between the emission altitude and the surface, derived from military research
on heat seeking missile and detection systems.
The direct
radiative forcing calculation is based
on an empiric al
equation derived from well - established atmospheric
radiative energy
transfer models and serves as a first - order proxy for global warming impact.»
But the reason that the models are failing to reproduce what we see that they are based
on an approximation of the
radiative transfer equation which does not apply to the boundary layer where the ice is melting.
And, there is plenty of empirical data at every level: There is empirical data
on the basic absorption lines of the various atmospheric constituents, there is a wealth of empirical data backing up the basic
equations of
radiative transfer that are applied in calculating the greenhouse effect in just the same way that engineers and scientists use these
equations everyday in other calculations, there is empirical spectra looking both up from the surface of the earth and down from satellites.