Andrew,
"why then has Nov-April arctic SAT increased over 1C over the last 15 years while the globe has increased 1/10th of that over the same period? You can't blame that on albedo.. maybe some of it you can blame on heat loss through thinner ice."
You seem to have forgotten that, as I explained, summer energy gains (sensible and latent heat) are being released in the autumn causing the autumn warming. The ice/ocean system is acting like a capacitor storing heat in the summer and releasing in the autumn. Then during the winter thinner ice is allowing more of this gained heat to escape. But in tandem with these processes the volume is going down year on year, which shows that the whole system energy is increasing.
As the summer has more open water, there will be more warming away from the ice edge, increasing summer temperatures, and more release of heat to the atmosphere in autumn increasing autumn temperatures.
I don't know where you get your thicknesses from. But this year is down on thickness from 2011 and 2012 has only met this year's thickness because 2012 thinned in the winter.
http://psc.apl.washington.edu/wordpress/wp-content/uploads/schweiger/ice_volume/Bpiomas_plot_daily_heff.2sst.pngThe amount of FYI this year is substantially greater than in the previous two years, and those two years show much higher FYI than any previous year.
http://dosbat.blogspot.co.uk/2013/02/ascat-piomas-and-dam.htmlThis is backed up by analysis of PIOMAS gridded data. The following graphic is a table from a spreadsheet: September volume broken down into contributions from 25cm thickness bands each row expressed as percentage of total volume for that March. (sorry - forgot to include years)
http://farm9.staticflickr.com/8237/8582706478_d1b73f6619_o.jpgFrom this it can be seen that not only is the thickest ice virtually gone, but also the peak below the thickest ice has dropped to the order of 1m thick. That was the state up to just before this freeze season. PIOMAS gridded is updated per year early the following year.
This year's gain from daily min to March 1st was of the order of that following 2007.
http://farm9.staticflickr.com/8251/8582706458_0202832116_o.jpgHowever scatter plot against daily min for the preceding year does not suggest a strongly non linear relationship between the volume at min and the volume gain in the following autumn/winter. No need to do a time series as you can appreciate volume generation this winter - it's large but not exceptionally large for the post 2007 era.
I don't agree that an equilibrium has been reached. After 2007 there was a rebound in thickness - going back to the PIOMAS thickness graph.
http://psc.apl.washington.edu/wordpress/wp-content/uploads/schweiger/ice_volume/Bpiomas_plot_daily_heff.2sst.pngThis was also reflected in 2008 being a gain in volume. Here is the most recent (Mar 1) date in PIOMAS daily since 2000, year, volume, change from previous year:
2000 25.26 -0.027
2001 25.786 0.526
2003 25.25 -0.536
2004 23.777 -1.473
2005 23.715 -0.062
2006 23.001 -0.714
2007 21.958 -1.043
2008 22.703 0.745
2009 22.734 0.031
2010 21.193 -1.541
2011 19.856 -1.337
2012 19.671 -0.185
2013 19.746 0.075
This is not a rebound like 2008, 2012's loss was not a deviation below equilibrium like 2007.
However 2012 was not a major volume event, the last such event was 2010, and after 2010 there has been no rebound. Therefore we have not seen a dip below equilibrium, with following years hunting back up to the equilibrium (albeit these are pseudo-equilibria against a shifting sweet spot).
Area and extent are a sideline, their trend is epiphenomenal of underlying changes in volume. Area and extent are easy to measure, this alone accounts for their popularity and the supposed significance attached to them. Open Water Formation Efficiency is the relationship between area/extent and volume. Holland et al, 2006, "Future abrupt reductions in the summer Arctic sea ice" define OWFE as 'percentage of open water formed per cm of ice melt'. The following is a graphic of OWFE as a function of March thickness.
http://farm9.staticflickr.com/8237/8466170424_22569325ba_o.jpgEssentially as the ice has thinned so the ease with which open water is formed has increased. Area/extent changes are not driving the process of sea ice loss, volume loss is driving the process.
"The annual range could approach 20 million cubic km this year. Well above any previous year."
Given that last year was 3.261k km^3, and 1/3/13 was 19.746k km^3, a gain of 16.485k km^3, with a typical 1k km^3 to go to the maximum in April making about 17.5k km^3. I seriously doubt if the gain will be as much as 20k km^3, we'd need to gain 2.5k km^3, 2.5 times the typical gain from March 1st to April peak.