“If the amount of the gas [CO2] that people are putting out has stopped rising, how can the amount that stays in the air be going up faster than ever?”

Firstly, emissions haven’t stopped rising.

Secondly, there has never been a correlation between the year-over-year δ emissions (mmt CO2) and δ MLO CO2 (ppm).

Thirdly, CO2 emissions have increased about 7 times as fast as the atmospheric concentration…

emissions_v_co2_delta

CO2 emissions from BP Statistical Review of World Energy June 2017.
MLO CO2 from Wood for Trees.

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