A lot of the contrarians use the argument that an increase in either directly measured Total Solar Irradiance (TSI) or solar activity is the cause for the current warming trend. Their tactic is to pull out one research article that supports this case and ignore the bulk of research that refutes it. The problem with their position is that TSI may have actually decreased, if it increased the best estimates are that it only accounts for 30% of the current warming trend, solar cycles don't correlate with the global temperature anomaly, and an increase in TSI doesn't explain the warming of the troposphere while the stratosphere is cooling.
Here is a link to the NASA temperature anomaly
(LINK). Last year was the highest global mean temperature on record. 1998 was an unusual year because of the strong El Nino but 4 of the 5 top years have been since 2001
(LINK). This is important graphic when compared to TSI or solar activity.
TSI is difficult to measure to the accuracy needed to determine if there has been a significant increase. There were a number of satellites used to measure it above the atmosphere and each produced a different value even during overlapping periods
(LINK). A number of researchers have tried to intercalibrate the satellite data to produce a time series. The results have been that TSI has slightly declined, stayed the same, or increased. A recent study showing an increase estimated that it accounted for 30% of the warming, but some researchers have disputed the method of this study
(LINK). The ACRIM satellite data according to this compilation show a peak in TSI during 1980 so that TSI is similar to present
(LINK go to ACRIM3composite_nnaa3 ). If you compare that to the GISS temperature anomaly data, you don't see a clear correlation. There are local maximum corresponding to the 80s peak but by their reasoning, we should now be at the same temperature as in 1980.
Sunspots are often correlated with all sorts of natural events because of their regular cycles. However, correlation does not equal causality. Solar activity does correlate with increases in TSI. Here is a graphic of solar activity
http://solarscience.msfc.nasa.gov/SunspotCycle.shtml">(LINK First graph). If you compare it to the GISS temperature anomaly time series, it is hard to find a definite correlation except for local minimums and maximums in concert with increases in TSI. The article in the original post is from 2003 and was near the peak in solar activity. Their hypothesis doesn't explain the record set in 2005 when we are near the bottom of solar activity. This year is at the bottom of the 11 year solar cycle. By their reasoning we should be significantly cooler.
If there were a significant increase in TSI, we would expect the stratosphere to warm along with the surface and lower troposphere. Logically, if you have more solar radiation passing through the atmosphere, you'd have increases in temperature even in the upper portion. However, observations from both satellites and balloon measurements show that the lower troposphere is warming and the temperature decreases with atmospheric height. The upper stratosphere has either cooled or remained the same temperature.
Christy and Spencer, two scientists who processed Microwave Sounding Unit Data, had published a data set showing that the lower troposphere was not heating up. However it was found that their calculations had errors due to a failure to properly account for orbit height of the satellite (I mention them because their research is often quoted by the skeptics). They also published calculations showing that radiosonde data agreed with their MSU data. It was found that they had a sign error in their processing of the radiosonde data that resulted in their lower troposphere cooling during the day and heating during the night. They finally corrected their data and it shows that the lower troposphere is indeed warming and the stratosphere is cooling in agreement with all the other studies
(LINK). This is in line with model predictions of greenhouse gases increasing insulation of the earth. It is not what you would expect all the warming was due to increased TSI. Some of the skeptics will claim that the statospheric cooling is completely due to ozone depletion. However, the ozone is recovering and ozone depletion only results in cooling of the lower stratosphere so that argument is false.
The hypothesis in the 2003 article in the original post was disproven. TSI increases may account for up to 30% of the warming trend but some recent studies have theorized that we may actually be undergoing a period of global dimming (at least prior to the 90s). This would mean that even if TSI did increase due to some unknown change in the sun or increased solar activity, the amount of radiation reaching the surface might actually be less. If we are receiving increased energy from the sun, it should mean that we need to do something more about greenhouse gas emissions now, instead of later. It will only increase the warming trend.
Edited because the bb code wanted to put the graphics on the page instead of links and these sites don't allow direct links to their graphics.