By calculating the daily rate of change in the extra-tropics as the length of day changes throughout the year, it is possible to use this data when added to the clear sky daily solar input for that location to generate an actual measured climate sensitivity.
Code and reports (chart source data):
I started with the day to day change in both min (mndiff) and max (mxdiff) temps for each day of the year.
This is the derivative of temperature by day, the maximum peaks in March in the northern hemisphere, the negative peak happening in October, the slope between peaks is calculated with the PL/SQL Slope function between March and October as Cooling, and from October to March as Warming.
Taking the slope of the change in temperature as the length of day is changing and then dividing that by the slope of daily solar input in Whr/m^2/day (Work/Day/Watt), gives us an actual Climate Sensitivity. This is the response in Temp F°/Whr/m^2/day (divide by 43.2 to get the instantaneous rate in C° ) at that station. A collection of stations based on area are then averaged together.
Because the daily Solar input is strongly dependent on Latitude, I’ve calculated and graphed this for 10 degrees latitude bands starting @N/S 20 going to N/S 90, no stations north of N80 meet the inclusion requirements (360 days per year collecting samples by station).
Note, because the Southern Hemisphere’s seasons are reversed, the Warming/Cooling labels are backwards.