Question

Suppose atmospheric CO2\mathrm{CO}_{2} is growing at 2 ppm/yr, fossil fuel and cement emissions are 9 GtC/yr, and the airborne fraction is 38 percent. If the only other carbon emissions are associated with land use changes, estimate their net carbon emission rate.

Solution

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In this exercise, we have the next value:

Cement concentration=9Gtc/year\mathrm{Cement\ concentration}=9 \mathrm{Gtc}/ \mathrm{year}

Land usage=2.2ppm\mathrm{Land\ usage}=2.2 \mathrm{ppm}

Airborn fraction=38%\mathrm{Airborn\ fraction}=38 \%

Now, find C emissions\mathrm{C\ emissions}:

X=2ppm/year2.12GtC/ppm0.38=11.15 GtC/year\begin{align*} \mathrm{X}&=\frac{2 \mathrm{ppm/year } \cdot 2.12 \mathrm{GtC} / \mathrm{ppm}}{0.38}\\ &=11.15\ \mathrm{GtC}/ \mathrm{year}\\ \end{align*}

So, we can calculate emissions:

X=11.5 GtC/year9 GtC/year=2.15 GtC/year\begin{align*} \mathrm{X}&=11.5\ \mathrm{GtC}/ \mathrm{year}-9\ \mathrm{GtC}/ \mathrm{year}\\ &=2.15\ \mathrm{GtC}/ \mathrm{year}\\ \end{align*}

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