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If any assumptions are made it is from the IPCC, and the doubling curve is theirs also.Only if you assume that CO2 is the only greenhouse gas that we are adding to the atmosphere/the only source of global warming or that the
decreased influence of each added unit of CO2 is not countered by the increasing rate at which CO2 was added to the atmosphere over that time period.
But think for a minuet what you just said!
How much would CO2 levels have to accelerate each year to keep up, much less get ahead?or that the decreased influence of each added unit of CO2 is not countered by
the increasing rate at which CO2 was added to the atmosphere
It is unlikely we will ever achieve the first doubling of CO2 to 560 ppm, and at 400 ppm
we have already passed the first 62 % of the possible direct warming from the current doubling.
This means even if we added 160 ppm of CO2 tomorrow, we could only get 38% of the remaining
doubling warming.