We’ve been discussing this a lot in a couple of threads recently. Here are a few important points:
(1) The prediction is not that tropical regions will be warming more rapidly than other places (in fact, the polar regions, particularly the arctic is predicted to warm the fastest). It is rather that, in the tropics, as you go up in the atmosphere, the temperature trend is supposed to get stronger. I.e., there is supposed to be a an “amplification” of the warming as you go up in the troposphere relative to the warming at the surface.
(2) Despite what many skeptics like McKitrick tend to argue, this prediction is not a prediction specific to the mechanism that the warming is caused by greenhouse gases. It is in fact a very general feature in the climate models that can be traced back to a basic piece of physics, what is called “moist adiabatic lapse rate theory”. And, it is not just predicted for the long term temperature trends. The same sort of amplification is predicted to occur for temperature fluctuations at shorter time scales.
(3) As for what the observations show: It is correct that there seems to be a disagreement between models and observations for the decadal temperature trends, at least for some of the observational data sets. However, it is important to note first that this disagreement is only for these long term temperature trends. If you look instead at the fluctuations in temperature that occur on timescales of months to a year or so, then the expected amplification as you go up in the atmosphere is seen. So, there are two possible explanations for this disagreement: either that there is a new bit of physics that the models don’t capture that comes in only once you get to the long (decadal) timescales or there are problems with the observational data sets. There are good reasons to believe that the second explanation is more likely to be correct: First of all, noone to my knowledge has been able to come up with good candidate physics that would cause the tropical atmosphere to behave differently on these longer timescales while still preserving the amplification behavior over the shorter timescales. Second of all, while the observational data sets are expected to be accurate for the fluctuations over the shorter timescales (where they agree pretty well with the models), there are good reasons to be worried about how well the they can capture longterm trends (where they disagree with the models, at least in some cases). Basically, the observation data sets are based on two things, weather balloons (radiosondes) and satellites. Both of these have problems that make them difficult for determining long term trends. For the weather balloons, coverage in the tropics is sparse and there have been changes over time that are likely to produce a spurious cooling trend (namely, better shielding of the instruments from the sun). For the satellite data, there are various subleties having to do with orbital decay, splicing the data from the different satellites, etc. These problems are reflected in the fact that different groups analyzing the same satellite data get quite different trends. This is similarly true for the balloon data.
(4) It is also worth noting the history of this field. When the satellite data was first analyzed by Roy Spencer and John Christy in the 1990s (the available satellite data itself goes back to like 1979), it actually showed the atmosphere globally to be cooling. This became a huge skeptic talking-point, i.e., that global warming did not appear to be happening except for surface observations (which could presumably be affected by urban heat island effects and so forth). However, over time, as the time series grew long but, more importantly, as there were various corrections made to the analysis from other scientists pointing out problems such as the failure to account for the effect of the decay of the satellite orbits, the cooling trend has become a stronger and stronger warming trend. In addition, a couple other groups also did independent analyses of the satellite data and got a stronger warming trend. So now, it is generally agreed (as noted in a recent report by the U.S. Climate Science Research Program), there is no longer statistically-significant disagreement between the satellite and surface data on a global scale. It is only in the tropics that there remains any significant disagreement. So, in fact, what the skeptics are desperately holding on to is basically the last piece of disagreement between these data sets where, thus far, the disagreements have basically all been resolved in favor of the models (& surface observations).
See also, this RealClimate post and the links to earlier RealClimate posts therein.