BBD, I already gave that to you. You just need to let it sink in, literally.
Vaughan found a SAW tooth in his model and is looking for a cause.
Since the Earth is a fairly complex battery, you have to considered the charger and loads separately. See, the cells are different sizes and there is always one that is slower to charge.
https://lh3.googleusercontent.com/-JheQdkSRylw/UQaftjam4fI/AAAAAAAAG64/otM4U3suJCo/s912/tropical%2520battery.png
If the tropics are the charger, the mid-latitudes would charge fairly quickly and fairly uniformly. The lower part of the high latitudes would take longer and may not charge at the same rate. By subtracting the loads from the tropical charger you can see Vaughan’s SAWtooth. The AMO is fine for weather, but climate would require a more “global” index, like the hemispheric imbalance. All that internal “Wall” energy transfer that someone forgot to take seriously.
I am not going to mention any names, but the Faint Young Sun paradox is horse hockey. You need to consider the Peak and RMS values when charging a battery, but then most dope smoking telescope jockeys have never actually worked in the real world. Not that I have anything against dope smoking or telescopes, but there is a time and place for everything.
Oh, that upturn in the blue curve is your CO2 amplified by land use, snow field reduction and land mass. You can estimate CO2 only by subtracting the Blue from the Orange, or you can go to the actual “average” charge on the battery, 334 Wm-2 that just happens to be limited by the 334 Joules per gram latent heat of fusion of the electrolyte.
Until you come to grips with the reality that there is not A climate sensitivity, stick to wine and whining.