Arthur Sees the Problem
[In a post attacking (for a rare time) James Annan, Arthur Smith notices that the Auditor hopes to discuss at an engineer-level a very different beast.]
What’s the corresponding situation with climate? It’s definitely not an engineering discipline at this point – we’re still in the frontiers of science. But some of the components are there, or at least close.
First is the CO2 radiative forcing effect. There are a large variety of ways to parametrize the atmospheric layers, even with our apparently pretty good knowledge of the radiative physics. Chapter 10 of IPCC AR4 WG1 goes into the projection issues in some detail, with section 10.2 in particular looking at radiative forcings. Table 10.2 shows the forcings for doubled CO2 from a variety of different models: there is some residual uncertainty but the average is 3.80 W/m^2 forcing, with standard deviation 0.33 W/m^2.
Now a nearly 10% standard deviation in a key number is pretty good for science, but it’s pretty abysmal for engineering – perhaps the first clue that we’re not talking about engineering here!
Second is the temperature response to forcing. Assuming the forcing is small, the response should be linear in the perturbation; the question is what is the ratio. James Annan gives the mean Stefan-Boltzmann response, which would be fine if the Earth were uniformly at the effective temperature and the total greenhouse effect was small. But it’s not (though not bad as a very rough approximation – Annan perhaps thought an engineering account would be happy with 50% error-bars…). You have to take into account the range of present temperatures and atmospheric layers to get an accurate response temperature; this is roughly Moeller’s calculation of 1966 referenced at Spencer Weart’s site:
Möller, Fritz (1963). “On the Influence of Changes in the CO2 Concentration in Air on the Radiation Balance of the Earth’s Surface and on the Climate.” J. Geophysical Research 68: 3877-86. http://www.aip.org/history/climate/Radmath.htm
Moeller’s number for the bare response to doubling CO2 was 1.5 K. This is under the assumption of no water-vapor response (no increased evaporation and latent-heat effect either). The error-bars on that should be at least the 10% standard deviation in the pure radiative number (so 1.35 K wouldn’t be unlikely).
Adding in the water-vapor response is where you actually have to go to the detailed climate models. Contrary to Steve M’s claim above, the climate models these days don’t “assume constant relative humidity”, they calculate physical processes at sea surface/air boundaries and look at the resulting water vapor, temperature, and other numbers for the different atmospheric layers in the grids.
But of course that’s getting into the modeling business – if you don’t believe any of them, there’s not much point discussing further, because the only other way to get to the bottom of the water vapor response is to run the doubling experiment and see what happens…









