The dependence of surface temperature response on the height of an imposed constant change in O3 amount (often 10 Dobson Units, or DU) can be estimated using radiative convective models (e.g., Wang et al., l980; Lacis et al., l990; Forster and Shine, l997). Figure 6.1a shows the results of such a calculation. This figure suggests that surface temperature is particularly sensitive to O3 trends near 8 to 15 km, in the vicinity of the tropopause. However, Forster and Shine (l997) made the important point that since there is far less O3 in the troposphere than near the tropopause and in the stratosphere, the use of a constant perturbation is unlikely to provide a realistic measure of the sensitivity profile. For example, 10 DU corresponds to roughly a 400% increase in mid-tropospheric O3, but much less at higher levels. Figure 6.1b shows how a 10% (rather than 10 DU) local O3 perturbation affects the calculated surface temperature as a function of the altitude where the O3 change is imposed (from Forster and Shine, l997). This figure suggests that the sensitivity of surface temperature to the altitude of O3 perturbations is considerably smaller than suggested by earlier studies that employed constant absolute changes to probe these effects. While the study of Forster and Shine (l997) employed a simple radiative/convective model, Hansen et al. (l997a) carried out similar calculations using a GCM. Their study suggests that cloud feedbacks could further lower the altitude at which surface temperature is most sensitive to O3 perturbations (Hansen et al., l997a; WMO, l999), but this work employed perturbations of 10 DU in each layer (which is necessary to obtain a significant signal in the GCM but is, as noted above, an unrealistically large value for the tropospheric levels in particular).
Portmann et al. (l997) and Kiehl et al. (l999) combined an O3 climatology based upon satellite measurements of the tropo-spheric column content (from Fishman and Brackett, l997) with a model calculation to derive estimates of the O3 radiative forcing for the tropics and for the globe, respectively. They showed that the dependence of the normalised O3 forcing (Wm-2 per DU of integrated O3 column change) upon uncertainties in the vertical distribution of the perturbation was less than previously thought, about 0.03 to 0.06 Wm-2 per DU based upon their radiative code and considering a range of profile shapes. This rather limited sensitivity to the altitude distribution of the imposed perturbation is broadly consistent with the work of Forster and Shine (l997) highlighted above and in Figure 6.1.
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