Well Mosher, given the daily and annual change in (Tmax+Tmin)/2 is far greater that 0.7C, for all intents and purposes the response should be instantaneous.
Moreover, as the postulated effect of CO2 is simple is is easy to model. The effect should temporally slow cooling and advance warming, in the daily and annual cycles. We should observe a line-shape change in the diurnal cycle and annual cycle.
Antarctica would provide the best place to look for both these changes at one. The temperature has been measured daily in various places since the 60′s. During the winter night the Antarctic should be now cooling much more slowly before it attains its Tmin steady state and its rate of warming during the day/summer should be much more rapid.
The line-shape of the diurnal cycle should move to the right in the presence of CO2, moreover this effect should be amplified in places were their is high water vapour. Thus, comparing the line-shape of a pair of single stations in a continental desert with a pacific island should show the shift in line-shape in both places; give the CO2 sensitivity and the potentiating effect of water.
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Comment on Psuedoscience (?) by DocMartyn
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