I have difficulties to explain this in my own language , trying to explain it in English will be a challenge
No I do not think that they are are inversely related according to saturated point in water. But they show the same mechanism of equilibrium between water and air. How fast the equilibrium will be reached depends of the area of the interface between air and water and “concentration” difference.
If you have a saturation of either of this gases below 100 % (in the water) according to the actual gas (in this case oxygen or carbon dioxide) content in the air – enlargement of the interface area between air and water (through bubbling or movement of the water surface) will speed up the setting time to the equilibrium. When equilibrium is reached – nothing more happens. But because you in a tank have production/consumption of both this gases - your actual saturation can be both over and below 100 % - but the bubbling and surface movement will always try to hold it at 100 %.
According to carbon dioxide, the content in the air can vary depending on how many people that stay in the room. Carbon dioxide gas and pH are related to each other so there can bubbling and/or water surface movement both rise or lower the pH depending on which side of equilibrium between water and air you start at. Is your carbon dioxide content in the water below equilibrium between water and air - bubbling will lower the pH (carbon dioxide brings in to the water) If your starting point is higher than equilibrium – bubbling will raise your pH (carbon dioxide is transported out from the water)
The same with oxygen – if you start below equilibrium – bubbling will rise your oxygen content up to near saturation. Is the starting point over equilibrium (oxygen production through photosynthesis) – bubbling will lower your oxygen content down to the actual saturation point
I hope this make sense (but I´m not sure)
Sincerely Lasse