“When attempting to derive such a temperature, Gerlich and Tscheuschner arrive at a value of 87.6 C.”
I think you clearly misunderstood the paper. The temperature of 87.6C is a temperature that a back-insulated flat grey disk (A=0.7) will reach under typical direct insolation of 1367 [W/m2]. You can verify this result experimentally by yourself in a good sunny day.
Unfortunately, the Earth is not a flat disk, as it also appears in your example. If you could read the paper attentively, you would find out that G&T also reproduced your -18C result, but they explained (rather poorly IMO) that the way you construct averages is mathematically incorrect. On pages 63-64 they presented a _correct_ way to obtain spatial averages on a globe for the T^^4 function, which leads to an average temperature of -129C. Obviously, incorrect way of calculating averages (as in your presentation) cannot lead to correct result, and the number -129C is also not any close to reality. As result, the intermediate conclusion of the paper was that “evidently, something must be fundamentally wrong here”. And it obviously is.
Dit is een reactie van iemand uit je verwijzing naar de 2e link. Mijn waardering overigens voor je uitgebreide reacties steeds. Ik laat de discussie hier verder achterwege en lees artikelen hierover, ook die van jou altijd met genoegen.
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