In doing so, we have limited our considerations to the direct climatic effects of steadily rising atmospheric
concentrations of CO2 and have assumed a rate of CO2 increase that would
lead to a doubling of
airborne concentrations by some time in the first half of the twenty - first century.
«The proportionality of warming to cumulative emissions depends in part on a cancellation of the saturation of carbon sinks with increasing cumulative emissions (
leading to a larger
airborne fraction of cumulative emissions for higher emissions) and the logarithmic dependence of radiative forcing on atmospheric CO2
concentration [
leading to a smaller increase in radiative forcing per unit increase in atmospheric CO2 at higher CO2
concentrations; Matthews et al. (2009)-RSB-.