I have linked a chart below so that people can see how the outgassing works.
The physics is this... CO2 is dissolved in seawater. More CO2 can be dissolved in cold water than warm water. So when the oceans warm, CO2 must be expelled from it and into the atmosphere.
So if you warm the ocean, the amount of CO2 in the atmosphere should rise due to the gas being released from the ocean (outgassed).
The chart looks at the annual change in ocean (surface) temperature, and the annual change in atmospheric CO2. Outgassing is evident if a rise in SST is followed by a rise in CO2.
If this years average SST is warmer than last years, then I expect to see that this years CO2 ppm is bigger than last years.
The chart has two series'
The first is the CHANGE in annual average Sea Surface Tempeature since the previous year. It is shown in solid blue.
The second is the CHANGE in CO2 ppm since the previous year. It is shown as a red line.
This is the chart.
http://farm9.staticflickr.com/8376/8409958899_114f77b2ac_b_d.jpg
As you look at the chart, look at the peaks in SST change. You will see that a peak in CO2 follows.
The graph is rather crude, and all I could knock up quickly, but it shows that outgassing does indeed happen in relation to change in SST.
The CO2 data is Mauna Loa: ftp://ftp.cmdl.noaa.gov/ccg/co2/trends/co2_mm_mlo.txt
The SST data is the HadSST2 set: http://www.metoffice.gov.uk/hadobs/hadsst2/diagnostics/global/nh+sh/monthly
You will also notice that the annual CHANGE in CO2 has a slow rising trend in it. It goes up more than it goes down.
When the oceans cool again later on, CO2 is absorbed back into them... but not to the same level as before, it is a little higher. This rising trend is the anthropogenic portion of CO2 being added to the atmosphere.
I'll leave this here for a while for people to look at, and then answer the actual question.
Edit: 2 days later.
I’ve included a second chart (below), which is a bit better than the first in that it doesn’t hack the data into annual lumps, but handles them month-wise. Note that the “SST” used is the data from HadSST3, which is directly measured in ships’ water intake. It is not the actual surface as such (the top few microns), but the ocean temperature near the surface.
http://farm9.staticflickr.com/8367/8415656514_71df12df03_b_d.jpg
The root of this question is does warming of the ocean, and outgassing of CO2, have a positive feedback in the ocean? i.e. When the ocean outgasses CO2, does this cause further ocean warming leading to more ocean outgassing?
I don’t think so, and here’s why (all contrary thoughts to this and the following are most welcome, I’m not an expert on this).
The oceans are heated by direct SW insolation, not by downwelling radiation. (This is a big statement, is this correct?).
Solar radiation penetrates to about 10m in the ocean before being fully absorbed (50% in the top 2 metres). By contrast IR (downwelling) radiation barely penetrates beyond ocean surface at all... “Infrared radiation of the ocean comes from the top 10 microns of the surface “ http://podaac.jpl.nasa.gov/SeaSurfaceTemperature
The oceans are directly warmed by SW sunlight. Water is opaque to IR after 10 microns. The heating caused by IR is in the top few microns only, where it causes immediate evaporation, negating its warming effect. This is evaporation in addition to the evaporation due to the ocean temperature.
The water vapour is of course also a greenhouse gas, causing increased downwelling radiation, but the same applies there too... all this does is cause more evaporation at the very top surface, added to what evaporation is already happening due to the warming caused by the SW heating. What happens to all this water vapour?... it increases cloud... which shades the oceans, and cools them by blocking the SW light.
Here is a chart of cloud cover in the tropics and SST.
http://farm9.staticflickr.com/8502/8414560775_8224e28317_b_d.jpg
Here is a chart of global temp vs cloud cover (scatter plot).
http://farm9.staticflickr.com/8223/8415656464_9ab09b7236_b_d.jpg
Apologies for not posting the data, but the data source server has been down for a few days. The charts are here: http://www.climate4you.com/ClimateAndClouds.htm#Tropical%20cloud%20cover%20and%20global%20air%20temperature