CO2 rise and fall follows the rise and fall in temperature by up to 800 years.
The question is what caused the recent 120 ppm rise. Also 2-3 ppm more each year. Was there 12C warming in the last few hundred years? Not a chance. Is there a new volcanic source that just happens to coincide with human emissions? Doesn't meet the simplicity test, nor is there physical evidence for it. Looking at my chart in post 38 you can see about 10C temperature rise causing about 100 ppm CO2 rise. What caused the recent 120 ppm rise?