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Human caused climate changes has some very real finite limits.Climate change isn't going to stop in 50 years, its going to keep going on for at least the next several hundred years, maybe even thousands of years. The pols have completely melted countless times in our past when the planet warmed.
Naturally stored hydrocarbon energy, (Oil, and coal mostly) will self limit, the cost of finding and extracting will become greater then their value.
Of the CO2 already emitted, the maximum warming will be here within 10 years of emission.
Maximum warming occurs about one decade after a carbon dioxide emission
That time is actually too long, because the study looked at a 100 GtC pulse of carbon dioxide
being released at one time.
Human emissions are about 9 GtC per year, and smaller emissions take less time to reach maximum warming.
The time lag between a carbon dioxide emission and maximum warming increases with the size of the emission
We also have the carbon uptake time, the environment is currently removing over 3 ppm per year of CO2,
(Emissions are about 6 ppm, but actual growth is between 2 and 3 ppm per year.)
If we lower emissions below 3 ppm per year, natural processes will get ahead of the emissions.