Okay so we have the chicken and the egg in reference to whether the stratosphere cooled first , which means less ozone, or the AMO caused the stratosphere to cool. We also can leave open the idea that a different variable (Space weather?) has controlled both.
Many research papers are out there in regards to the how certain teleconnections are effected by the winter time temperature trends in the polar stratosphere. (Artic Oscillation, NAO, Aleutian Low. etc...)
http://www.cpc.ncep.noaa.gov/products/s ... ure_10.gif
There seems to be an inverted temperature anomaly between the lower stratosphere and the lower troposphere.
http://www.junkscience.com/MSU_Temps/LS704.gif
http://www.junkscience.com/MSU_Temps/LTLS704.gif
One could speculate about many things involving space weather. I have previously spoken before about some research done by Tinsley and others regarding the GCR (Galatic Cosmic Ray ) effect upon cloud cover.
Some of these research papers talked about how the GCR levels seemed to have an effect upon the maritime stratocumulus cloud coverage. More GCR's meant more stratocumulus clouds. There by having a cooling effect upon the earth because of their albedo/reflect ability. They do not trap heat like the cirrus clouds.
Well maybe this is a double edge sword. The increase in outgoing long wave radiation could enhance ozone production above these clouds. This in turn would have an effect upon the Artic Oscillation (AO) and several other teleconnections over the long run.
An increase in ozone at the North pole is going to mean warmer temperatures in the stratosphere , which means that the dice will be loaded for a negative AO. This means colder weather down below for a good deal of the northern hemisphere.
Less GCR's, which we have been seeing, especially during the past 10-15 years, means less stratocumulus clouds. Less reflect ability...Hence less ozone...cooler stratosphere...warmer earth. How much. Don't know?
Jim