Using sun spot numbe as input and modeling evolution of magnetic flux ...
This is not something to subscribe to as a fact, Andre.., these processes are not even well understood as far as sun is concerned. The processes and relationship of sun-earth is being studied and many papers with conflicting opinions and inter-relationships are being presented.
Quote:
Yet there appears to be a significant correlation between solar activy (flares, solar particles, induced solar magnetism and apparent global temperatures) but many things remain to be seen.
As and researcher in this area I can tell you that far from any conclusions of long term changes are reached. Short term is more complicated than that. There is not know mechanism of long term change due to precipitation of solar particles. (In planetary science, it is being researched how the 'hot' plasma stays after the SPE event in the tail of the magnetic field of the earth, but that's a hard science on its own and its conclusion will depend on the theory that will be accepted and is not known as of now).
Upper atmosphere has a very efficient mechanism of getting rid of inputted energy from solar particles influx through NO, CO, CO2. There is no impact on surface temperature concluded. There is very delicate mechanism how this heating and cooling happens.
For CO2 issue, this is quote form Kerry Emanuel.
For example, doubling the concentration of CO2 would raise the average surface temperature by about 1.4°F, enough to detect but probably not enough to cause serious problems. Almost all the controversy arises from the fact that in reality, changing any single greenhouse gas will indirectly cause other components of the system to change as well, thus yielding additional changes. These knock-on effects are known as feedbacks, and the most important and uncertain of these involves water.
As far as this paper goes:"Solar turbulence in earth’s global and regional temperature anomalies"
Its missing the processes of the atmosphere specifically dynamics. Its concentrating on correlation, plus sun is not at its sol max but min. There are 11 and 22 year cycles of the sun. The current ideas about the amount of sunlight the Earth receives varies because of slight changes in the three parameters of the Earth's orbit, with periods of about 100,000, 41,000, and 23,000 years. But what causes the climate change over 1000,100, or 10? Many climatologists who study evidence of sun on our climate are not convinced that the connection exits. Its difficult to explain just how the sun might affect the Earth's atmos enough to make difference.
There are many ideas how these mechanisms happen, but no one dares to claim that we know it. The inherent NON-LINEARITY of the climate and contributing processes absolutely NEED to be included where they are not. The model of Wilson shows that non-linearity of sun's processes may cause the sun to switch into minimum activity (a Maunder effect). Correlation even for 400,000 years is nothing but guess work. (correlation does not imply causation). The mechanism is unknown, still. SO let's present it as it is, not as means to preconceived conclusion.
"Journey from the center of the sun', by jack b zirker, is nice book that explains what we know about sun and what are current ideas about how sun might/might not influence climate. (given on human scales the sun's output does not vary much for last 4 bilion years. Sol constant over 11 yrs cycle is 0.1% in change is too small for correlation. We need to know, if there is non-linear process which could drive this small change into climate change.)