Judge Alsup might well be moved to dismiss the plaintiffs’ case provided that the defendants were able to establish definitively that fears of global warming had been very greatly exaggerated.
The zero-dimensional-model equation (1) says that equilibrium sensitivity or final warming ΔTeq is the ratio of reference sensitivity or initial warming ΔTref to (1 – f ), where f is the feedback fraction, i.e., the fraction of ΔTeq represented by the feedback response ΔT(ref) to ΔTref.
(1) is used diagnostically not only to derive equilibrium sensitivity (i.e. final warming) from official inputs but also to derive the equilibrium sensitivity that the models would be expected to predict if the inputs (such as the feedback fraction f ) were varied.
(3), reference sensitivity ΔTref to doubled CO2 concentration is about 1.1 K. The “natural greenhouse effect” is not 32 K: The difference of 32 K between natural temperature TN (= 287.6 K) in 1850 and emission temperature TE (= 255.4 K) without greenhouse gases or temperature feedbacks was hitherto imagined to comprise 8 K (25%) base warming ΔTB directly forced by the naturally-occurring, non-condensing greenhouse gases and a 24 K (75%) feedback response ΔT(B) to ΔTB, implying a pre-industrial feedback fraction f ≈ 24 / 32 = 0.75 (Lacis et al., 2010).
Similarly, the CMIP3/5 models’ mid-range reference sensitivity ΔTS (= 3.5 x 0.3125 = 1.1 K) and Charney sensitivity ΔT (= 3.3 K) (Charney sensitivity is equilibrium sensitivity to doubled CO2), imply a feedback fraction f = 1 – 1.1 / 3.3 = 0.67 (Eq.
The trend was found to be , equivalent to /century: Test 5: To confirm that we had understood feedback theory correctly, one of my distinguished co-authors, a hands-on electronics engineer, heard of our result and built a test rig in which we were able to specify the input signal (i.e., emission temperature TE) as a voltage, and also the direct-gain factor μ to allow for direct natural or anthropogenic forcings, and the feedback fraction β (we were using the more precise form of Eq.
In that event, atmospheric dynamics requires that there must be a tropical mid-troposphere “hot spot” [I had the honor to name it], where the warming rate should be twice or thrice that at the tropical surface.
Accordingly, I worked for months with a patient and amiable scientist at the government laboratory.
When I had originally approached the laboratory, I had not mentioned that the research had anything to do with climate change, because all I wanted to do was to establish that we had understood the relevant control theory correctly.
A compromise was reached, by which we are free to include the laboratory’s results in our paper, as long as we do not mention either the name of the laboratory or the name of the scientist there who built and ran the high-specification rig for us.