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56 N. H. A. Bowerman et al.<br />

(a)<br />

peak CO 2-induced warming (ºC)<br />

(c)<br />

peak CO 2-induced warming (ºC)<br />

4<br />

3<br />

2<br />

1<br />

0 1 2 3 4<br />

cumulative emissions to 2500 (TtC)<br />

4<br />

3<br />

2<br />

1<br />

0 1 2 3 4<br />

cumulative emissions to 2100 (TtC)<br />

(b)<br />

(d)<br />

0 1 2 3 4<br />

cumulative emissions to peak temp. (TtC)<br />

0 1 2 3 4<br />

cumulative emissions to 2200 (TtC)<br />

Figure 3. Most likely peak warming as a function of cumulative emissions <strong>for</strong> different emissions<br />

floors. The type of cumulative emission metric varies between <strong>the</strong> plots: cumulative emissions to<br />

(a) 2500, (b) <strong>the</strong> time of peak warming, (c) 2100, <strong>and</strong> (d) 2200. The panels in this figure are<br />

as figure 2a, but with different floors preventing emissions from dropping below certain values at<br />

certain times. The emissions floors used here are <strong>the</strong> same as those in figure 1, <strong>and</strong> use <strong>the</strong> same<br />

colour code. The black squares represent pathways in which no floor is present, so emissions are<br />

allowed to fall to zero. The yellow crosses <strong>and</strong> red diamonds indicate pathways in which a ‘hard’<br />

floor is set at 1.5 or 3 GtC yr −1 ; in <strong>the</strong>se pathways, emissions are unable to fall below <strong>the</strong> floor<br />

<strong>and</strong> so remain at <strong>the</strong>se values indefinitely. The blue crosses <strong>and</strong> green diamonds are pathways with<br />

an exponentially decreasing emissions floor, which has a decay time of 200 years. The blue crosses<br />

pass through 1.5 GtC yr −1 in <strong>the</strong> year 2050, while <strong>the</strong> green diamonds pass through 3 GtC yr −1<br />

in that year. We observe <strong>the</strong> strongest correlation in (d), between peak warming <strong>and</strong> cumulative<br />

emissions to 2200.<br />

The observational constraints are much more effective in constraining <strong>the</strong><br />

short- <strong>and</strong> medium-term response of <strong>the</strong> climate–carbon-cycle system than <strong>the</strong>y<br />

are at constraining <strong>the</strong> multi-century response. Hence, it is inherently hard to<br />

determine whe<strong>the</strong>r, after a significant injection of CO2 into <strong>the</strong> atmosphere,<br />

Phil. Trans. R. Soc. A (2011)<br />

Downloaded from<br />

rsta.royalsocietypublishing.org on November 30, 2010

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