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And even easier than isotopic analysis is simple mass-balance.
From the Carbon Dioxide Information and Analysys Center (http://cdiac.ornl.gov/ftp/ndp030/global.1751_2010.ems), total anthropogenic fossil carbon emissions from 1750-2010 were 364,725 MtC (derived from industrial records, not in dispute); if you burn 364,725 MtC you get 1.336 x 10[sup]15[/sup] kg of CO2 (basic chem). The mass of the atmosphere is 5.1480 × 10[sup]18[/sup] kg [Trenberth, K. E., & Smith, L. (2005). The mass of the atmosphere: A constraint on global analyses. Journal of Climate, 18(6), 864-875.] Divide our known contribution by the total mass of the atmosphere, and we know that we have added 1.336 x 10[sup]15[/sup] / 5.1480 × 10[sup]18[/sup] = 260 parts per million by mass, which for CO2 is 171 parts per million by volume. That's what we know we've added to the air, from industrial records.
But when we look at CO2 data, both historical (ftp://aftp.cmdl.noaa.gov/products/trends/co2/co2_annmean_mlo.txt) and from ice cores (ftp://ftp.ncdc.noaa.gov/pub/data/paleo/icecore/antarctica/law/law2006.txt) we don't see a rise of 171 ppmv during the period 1750-2010. We only see a rise of 113 ppmv in the atmosphere.
So what happened to the remaining 58 ppmv? Four hundred and fifty billion tonnes of CO2 cannot just vanish! It must exist somewhere. And the answer, of course, is that the natural world, the oceans and soils (plus a tiny bit for the lithosphere) has absorbed some of the CO2 that we have emitted into the air -- which is why it's not in the air any more. And that means that the natural world, taken as a whole, must be acting as a net sink for CO2, which means that the natural world cannot also be acting as a net source for CO2.
Therefore, humans are responsible for 100% of the atmospheric increase in CO2.
Q.E.D.
Did you add the Humans are totally responsible or is it actually in that data?
Back to topic, is that increase causing a cooling effect?