Not sure if Darrin is talking about the same thing, but if I increase or decrease a gas in the air, the water will absorb or release that same gas to maintain a specified equilibrium. I'm not as versed on the biological part, but plants grow faster or slower too. I see the biological part as a non issue, because as they die, they release carbon in various gasses as they decompose.
If I double the partial pressure of CO2 in the atmosphere (280 ppm to 560 ppm), then the oceans will also double in dissolved gas, but it would take a very long time, over 1000 years to achieve equilibrium, and I would have to pump CO2 into the atmosphere at an extreme rate to do it.
Henry's law
Between the oceans and atmosphere, the oceans contain more than 98% of the carbon when dealing with the
carbon cycle. This is not immediate, and even if all carbon sourced on land remain the same, the long cycle of the ocean currents and long term solar changed will affect the CO2 content of the atmosphere, decades and centuries after the changes. Temperature also control the solubility. As temperature increases, the ocean holds less CO2. This is why with global warming we have a net increase in CO2.
Global warming causes CO2 to increase. CO2 does not cause global warming.
The ocean contains by the linked chart which shows 750 GtC in the atmosphere, 1020 GtC in the ocean surface, 38100 in the deep ocean, and a few other values. Just using these two larger values I get a total of 39870 GtC. the 750 is less than 2% of that (1.88%) The shallow waters classed as surface are 2.56% of it. However, with equilibrium in play, the system would balance with around 2% of added CO2 staying in the atmosphere whale about 98% of it is absorbed by the oceans.
This doesn't happen because the oceans are warming.
Now we have the alarmists saying the oceans are warming because of CO2. Bull . They are warming because the sun has been increasing in intensity since the 1700's.
CO2 is primarily absorbed (sinked) in the polar regions where the water is cold and accepts more CO2 for equilibrium. It is released in the equatorial regions where the waters get warm, and hold less dissolved gasses. As the oceans warm, the polar regions absorb less than before and the equatorial areas source more CO2 than before. The warming and cooling of the oceans to where is has an effect that can be seen is about 800 years, because the
Thermohaline circulation is a important part of this process. To mix with the ocean as a whole for equilibrium, it takes time for this mixing.