sunspots and global warming

Sunspots activity and global warming are not related. It turns out the number of sunspots is not linked with global av temps. While the statistics show there's nothing in the data that could not be explained by just "luck" the weak correlation anyway appears to be -ve. The months with more sunspots seem to relate to the cooler months in the global record.

The plot as as follows:

Sunspots


The data comes from the Royal Belgian Observatory. While the dataset goes back to 1700 we've just used the numbers over the Sat era here from 1975.

Global temperature


This is NASA's global temp index. It's the calculated avg global temperature relative to their 1950s baseline in 1/100th deg C.

Relating sunspots with global temperature

We run a time-series (ARMA 1,1) regression with all the bells and whistles to try to establish any underlying link. The first plot shows sunspot numbers along the X and global temps along the Y. The stats program find no valid link. The R2 is tiny (the so-called "explanation power" of the best linear model it can find) and the Prob the beta is -ve is only around 65%. For stats heads this is equivalent to a 50/50 coin toss. There is no good reason to believe the model tracks the data sets better than just luck.

But if you press the point there are better odds the relationship is -ve. I.e. more sunspots LOWER the global temp in the same month. (Maybe by causing more clouds).


To give the model a second chance to come good we take the logs of the sunspot numbers. Maybe the relationship is logarithmic, not linear. But, no, that also finds low R2 and Prob(beta) +ve or -ve is almost 50/50 so "no real relationship".