Lodger,
Yes I know they're continuing to pursue the matter. But the first Abbott & Tzipperman paper seems to be the best one to refer to. i.e. 2008 Sea Ice, High Latitude Convection, and Equable Climates
http://geosci.uchicago.edu/~abbot/publications.htmlAs for what models (GCMs) show, as they're clearly underperforming and nobody has pinned down exactly why I do think there is reason to be sceptical about sea ice free in CO2 X 4. Consider the following two papers:
Kay et al, The Boundary Layer Response to Recent Arctic Sea Ice Loss and Implications
for High-Latitude Climate Feedbacks
http://nldr.library.ucar.edu/repository/assets/osgc/OSGC-000-000-001-728.pdfBoe et al, Current GCMs’ Unrealistic Negative Feedback in the Arctic.
http://www.atmos.ucla.edu/csrl/publications/Hall/boe_et_al_published.pdfKay et al find that the September 2007 response of the atmosphere isn't unrealistic, due to a well mixed boundary layer there does seem to be a strong cloud response. But earlier in July the cloud response is too much because the boundary layer is more stratisfied. The problem being the global application of cloud parameterisation. Boe et al find "Most current climate models likely overestimate the climatological strength of the inversion, leading to excessive negative longwave feedback."
i.e.
Kay et al - too much summer cloud -> too little energy absorption
Boe et al - too strong a winter inversion -> too much energy loss
These are problems to be ironed out, and I await Wipneus's comments on CMIP5. But at present I'm not persuaded if CMIP4 and earlier show perennial sea ice free at 4 x CO2, because there are serious problems with them w.r.t. Arctic atmospheric processes.
It's also worth noting that in the Eocene the threshold for ice sheet formation was around 500 to 800ppm - Doria 2011 DECLINING ATMOSPHERIC CO2 DURING THE LATE MIDDLE
EOCENE CLIMATE TRANSITION
http://faculty.eas.ualberta.ca/wolfe/eprints/Doria%20et%20al%20AJS%202011.pdfSo deciduous forests (implying conditions during winter not conducive to an ice covered Arctic Ocean) could have occurred as part of a millennial scale response to increased CO2. The response of Arctic sea ice, unlike that of plant migration and ice sheet formation is proving to be far from slow. In my pessimistic scenario I implied a sea ice free Arctic in winter could be tenable with massive methane emissions and their attendant high radiative forcing within decades. But I stress that I don't think this is likely.