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Dependence of Climate Response on Meridional Structure of External Thermal Forcing [Journal of Climate]
[July 22, 2014]

Dependence of Climate Response on Meridional Structure of External Thermal Forcing [Journal of Climate]

(Journal of Climate Via Acquire Media NewsEdge) ABSTRACT This study shows that themagnitude of global surfacewarming greatly depends on themeridional distribution of surface thermal forcing. An atmosphericmodel coupled to an aquaplanet slabmixed layer ocean is perturbed by prescribing heating to the ocean mixed layer. The heating is distributed uniformly globally or confined to narrow tropical or polar bands, and the amplitude is adjusted to ensure that the global mean remains the same for all cases. Since the tropical temperature is close to a moist adiabat, the prescribed heating leads to a maximized warming near the tropopause, whereas the polar warming is trapped near the surface because of strong atmospheric stability.Hence, the surface warming is more effectively damped by radiation in the tropics than in the polar region.As a result, the global surface temperature increase is weak (strong) when the given amount of heating is confined to the tropical (polar) band. The degree of this contrast is shown to depend on water vapor- and cloud-radiative feedbacks that alter the effective strength of prescribed thermal forcing.

1. Introduction An important quantity in discussions of climate projections is how much the globe would warm in response to a unit increase of greenhouse gases. It is often implicitly assumed that the warming is proportional to the magnitude of global mean radiative forcing. It is a good approximation in many cases. Even the spatial distribution of climate change exhibits remarkable similarities when normalized to the same forcing for most climate forcing agents (Hansen et al. 2005; Xie et al. 2013). Although the radiative forcing for doubled CO2 is well known to be in the range of 3.5-4.1Wm22 (Ramaswamy et al. 2001), the envelop of large uncertainty in the prediction of global surface warming after a doubling of CO2 concentration has not been narrowed appreciably for decades (Knutti and Hegerl 2008).

In fact, the global mean surface warming has been shown to be dependent on the climate forcing agents and their spatial distribution.Different climate forcing agents show a substantial range in the effectiveness for surface warming (Hansen et al. 2005). For example, the climate response to changes in CH4 is larger than the climate response to a CO2 forcing of the same magnitude at the top of the atmosphere (TOA). Also, the magnitude of surface warming depends on the meridional (Rose et al. 2014) and vertical structure of climate forcing (Hansen et al. 1997): extratropical radiative forcing yields a larger surface warming than tropical radiative forcing because of the sea ice feedback and the more stable lapse rate at high latitudes; a climate forcing that peaks at higher elevations tends to be less efficient in warming the surface since a larger fraction of the energy is radiated directly to space without warming the surface.

In general, the distribution of climate forcing agents such as aerosols, ice melt, and land use is highly localized. The present study investigates the dependence of global surface warming on the meridional distribution of climate forcing. We show that how the climate forcing is distributed meridionally matters significantly for the global surface warming. In particular, the global surface temperature response is weak when the thermal forcing is applied to the tropics compared with the case when the thermal forcing is applied in the polar region, consistent with Hansen et al. (1997), Forster et al. (2000), and Joshi et al. (2003).

The most frequent types of perturbations used in the studies on radiative forcing and climate response are perturbations to the solar constant and carbon dioxide level. Here we consider perturbations to the surface energy budget in the model coupled to a slab mixed layer ocean. Our experiment setup is similar to perturbing the solar constant because its changes are mostly felt by the surface as little shortwave radiation is absorbed in the atmosphere. Changes in CO2 are initially felt mostly by themidtroposphere, but it has been shown that the CO2 and solar forcing experiments behave similarly (Forster et al. 2000; Joshi et al. 2003).Hansen et al. (2005) decompose climate change into fast and slowcomponents defined as changes without and with ocean response. They define effective radiative forcing at TOA using an atmospheric GCM with fixed SST. By this definition, the global mean radiative imbalance at TOA equals net ocean surface flux. Thus, our resultsmay be viewed as the slow response of Hansen et al. (2005) to radiative forcing.

2. Model and experiment setup Weemploy twomodels of different level of complexity: the idealizedmoistGCMof Frierson et al. (Frierson et al. 2006; Frierson 2007) and an atmospheric general circulation model developed at the Geophysical Fluid Dynamics Laboratory (GFDL), Atmospheric Model, version 2 (AM2) (Anderson et al. 2004). The configuration of both models is the same as in Kang et al. (2008, 2009). We consider zonally symmetric aquaplanet simulations in which the atmosphere is coupled to 2.4-m-thick slab mixed layer ocean, corresponding to a heat capacity of 1 3 107Jm22K21. A small heat capacity is chosen to reduce the time required for the model to reach equilibrium. The surface temperature is permitted to drop below freezing, and no sea ice or snow is allowed to form. Both models have no seasonal cycle of insolation but a diurnal cycle is retained in AM2. All simulations are spun up for two years, and statistics are calculated over six subsequent years of integration.

The key simplification in the idealized moist GCM is in themodel physics that includes gray radiative transfer, in which the radiative fluxes are only a function of temperature, so that there are no water vapor- and cloud-radiative feedbacks. Hereafter, the idealized GCM will be referred to as GRaM. The shortwave heating approximates the observed annual and zonalmeanTOAnet shortwave flux. There is no solar absorption within the atmosphere and the surface albedo is set to be 31%. It is run at spectral T42 horizontal resolution, with 25 vertical levels.

The full GCM, AM2, is run at a horizontal resolution of 28 latitude 3 2.58 longitude and 24 vertical levels. To understand the effects of water vapor and cloud-radiative feedbacks and to enable direct comparison with GRaM, the same experiments are performed with fixing the cloud distribution and water vapor content in the radiation calculation, denoted as AM2 1 Ncq. Additional experiments are performed with the model with prescribed clouds only, denoted as AM2 1 Nc. Details on simulations with prescribed clouds and water vapor can be found at Kang et al. (2008, 2009).

To study the dependence of climate response on meridional structure of thermal forcing, the experiments are designed to warm the globe either by weakly heating the whole globe or by strongly heating the narrow tropical or extratropical band, as shown in Fig. 1. In one case, the thermal forcing H is prescribed beneath the mixed layer that provides heating of 3.3Wm22 uniformly at all latitudes, which is referred to as UNI. In another case, referred to as TRO,His concentrated over 108S-108N with the maximum amplitude of 30Wm22 at the equator. In the third case, referred to as EXT, H is prescribed poleward of 508 in both hemispheres with the maximum amplitude of 22Wm22 at 708 in the Northern and Southern Hemispheres. The global mean of H is constrained to be the same in all cases. For reference, the anomalous equatorial surface fluxes during strong El Niño events are confined to 108S-108N with the maximum amplitude of about 10Wm22 near the equator, similar toH in TRO.On the other hand,UNI is tomimic the CO2 forcing. We note that radiative forcing of CO2 displays some spatial variations, larger in the tropics and subtropics than in the polar region (Fig. 5 in Hansen et al. 2005), but much smoother in latitude than H in TRO. In EXT, H can be thought of as perturbations in the surface energy budget resulting from diminishing polar sea ice cover. The control integration is symmetric about the equator, without imposed surface flux anomalies. The climate response to H is obtained by differencing the climatologies of the perturbed and control integrations, and is denoted as D. The time mean fields are calculated by averaging the Northern and Southern Hemispheres since the prescribed surface flux and the resulting model climatology are hemispherically symmetric.

3. Simplified model results We first discuss the results from GRaM where complications from water vapor and cloud radiative feedbacks are absent. The zonal-mean response of temperature in the lowest atmospheric level (DTa) is shown in Fig. 2a. We note that the results using sea surface temperature is qualitatively the same. At the equator, the prescribed heating is 10 times larger in TRO than in UNI, but DTa there differs only by 20%. However, in the extratropics, DTa is proportional to the prescribed heating: DTa poleward of 508 in both hemispheres is 3 times larger in EXT than in UNI, with little change in TRO. Also, despite the absence of sea ice albedo feedback and the uniformity of the prescribed heating in UNI,DTa increaseswith latitude: DTa poleward of 708 in both hemispheres is 70% larger than DTa between 108S and108N. Themechanismof polar amplification has been investigated in previous studies (e.g., Alexeev et al. 2005; Cai 2005; Bintanja et al. 2011). As a result, although the global mean of prescribed heating is identical in all cases, the global mean of DTa, denoted as [DTa], is starkly different, as shown in Fig. 2e. This indicates that adding heat to the extratropics, as compared to the tropics, much more efficiently increases the global surface temperature. In other words, the tropics can balance the imposed heating much more effectively with only a small change in surface temperature.

In terms of global mean, the imposed heating beneath the mixed layer has to be balanced by increasing TOA radiative fluxes. In GRaM, the TOA shortwave fluxes are fixed, so that the TOA energy budget is determined by outgoing longwave radiation (OLR). Figure 3a shows the zonal-mean response of OLR. Compared to DTa in Fig. 2a, DOLR is smoother in latitude, with almost flat meridional structure in UNI. The sensitivity of DOLR to DTa that measures the local radiative damping rate, denoted as D [ DOLR/DTa, is shown as black solid in Fig. 3b. The damping rate D is obtained from the UNI profile since DTa in other cases has sharp peaks that cause D to be ill defined. The response of OLR can be predicted from D given the actual DTa, as can be seen from the gross similarity of meridional structure between the actual (solid) and the predicted (dashed) DOLR in TRO and EXT in Fig. 3a.

The damping rate D is a function of latitude, with larger values in the tropics. Specifically, D in the tropics (5.6Wm22K21 over 208S-208N) is almost twice as large as that in the polar region (3.0Wm22K21 over 508-908 in both hemispheres). This indicates that the tropics can emit larger amount of OLR for given DTa than the extratropics, so that the heating with an equatorial peak is effectively damped to produce small DTa whereas the heating concentrated in the extratropics is inefficiently damped to produce large DTa. The larger damping in the tropics can be understood from the vertical structure of temperature changes, shown in Fig. 4 (left). Overlain in black solid lines are the effective emission level ze defined as the level at which the temperature is equal to the effective emission temperature Te 5 (OLR/s)1/4, where s is the Stefan-Boltzmann constant.

In the tropics, the temperature closely follows the moist adiabat to result in a maximum warming near the tropopause in all cases. The high ze in the tropics then leads to large radiative damping there. In contrast, in the extratropics poleward of 608, TRO produces an elevated warming with a peak at 550 hPa while EXT produces a surface trapped warming, consistent with Alexeev et al. (2005). The stronger polar surface warming is due to the stably stratified atmosphere that tends to trap heat near the surface, which has been invoked as the mechanism for polar amplification (e.g., Bintanja et al. 2011). In UNI, the extratropical temperature response can be characterized as the sum of tropical-induced elevated warming and local-induced surface warming. The elevated warming is subject to strong radiative damping, whereas the surface trapped warming hides beneath ze and is subject to only weak radiative damping. Hence, a large DTa in the extratropics is required to balance the imposed heating due to surface trapped warming below ze, leading to inefficient damping rate (i.e., small D). Conversely, in the tropics, the imposed heating can be balanced by small DTa due to the amplification of warming aloftabove ze, which results in effective damping rate (i.e., large D). Therefore, although the global mean of imposed heating is constrained to be the same, the heating with an equatorial peak (TRO) produces much smaller increase in [DTa] than the heating confined to the extratropics (EXT).

The more effective OLR damping in the tropics can occur partly because OLR is a strong function of temperature (i.e., OLR 5 sTe 4), as suggested by Joshi et al. (2003). The importance of its effect can be estimated by defining the damping rate in terms of DTe (i.e., De [ DOLR/DTe 5 4sTe 3), shown as gray solid in Fig. 3b. The value ofDe in the tropics (4.0Wm22K21 over 208S-208N) is 17%larger than that in the polar region (3.3Wm22K21 over 508-908 in both hemispheres), much smaller than the latitudinal contrast ofD that amounts to 100%. Thus, the contrast of vertical structure of warming between the tropics and polar region is more important in causing a larger OLR damping in the tropics, hence a smaller [DTa] in TRO.

4. Comprehensive model results The effect of water vapor- and cloud-radiative feedbacks on the global surface warming can be addressed by comparing the results between GRaM and AM2. In AM2, over the intertropical convergence zone (ITCZ), shortwave cloud forcing associated with low cloud amount changes tends to be larger than longwave cloud forcing associated with high cloud amount changes, as noted in Kang et al. (2008).As shown in Fig. 5, low cloud amount increase in TRO results in cooling by 18Wm22 in the equatorial region. The negative cloud feedback in the tropics is absent in UNI and reverses sign in EXT. This suggests that the tropical cloud feedback is a response not to local temperature changes but rather to large-scale changes in circulation. The Hadley circulation is strengthened in TRO to increase cloudiness, inducing the negative cloud feedback. In contrast, the heating in UNI has little effect on the Hadley circulation and the heating in EXT weakens it. In the extratropics, low cloud amount decreases substantially in EXT because the atmosphere is destabilized as the temperature and humidity near the surface increase, resulting in increased surface insolation of up to 15Wm22. Such a large change in cloud distribution could be due to the fact that heating is prescribed at the surface, producing extreme destabilizing effects on the atmosphere. Hence, the effect of clouds may be reduced for tropospheric heating. In AM2, the cloud forcing acts to amplify the extratropical thermal forcing, whereas it acts to damp the tropical thermal forcing. Hence, one can expect that the dependence of [DTa] on the latitudinal position of thermal forcing will be more enhanced in AM2 than in GRaM.

The zonal-mean temperature response at the lowest model level, DTa for AM2 is shown in Fig. 2d. In TRO, the negative cloud forcing over the ITCZ damps the equatorial peak of DTa so effectively that the tropical DTa is even smaller than in GRaM despite the positive water vapor feedback that greatly amplifies the response. Also, because of the negative feedback from clouds in the tropics, DTa in the tropics is the smallest when heating is prescribed within the tropics and is the largest when heating is prescribed in the polar region. This is because in EXT, the tropical temperature response is not accompanied by negative cloud forcing in the tropics (Fig. 4j-l). In EXT, the positive cloud forcing in the extratropics as well as the positive water vapor feedback amplify DTa, resulting in 6 times larger response than that in GRaM. As a result, there is greater dependence of global-mean DTa on the meridional structure of thermal forcing in AM2 than in GRaM (Fig. 2e). This indicates that cloud radiative feedbacks can alter the efficiency of climate forcing for warming the surface, implying that the degree of contrast will be model dependent. In AM2, the same global-mean surface heating, depending on its meridional position, can produce global warming of different magnitude by a factor of 13. It came to our attention that Rose et al. (2014) performed similar experiments and showed that extratropical forcing is more effective at changing the global mean surface temperature. However, the difference in response is much smaller, only a factor of 3, between the extratropical and tropical forcing. The discrepancy would be due to differences in the experiment design. Our heating is applied equatorward of 108 in the tropical case and poleward of 508 in the extratropical case, whereas cooling is applied in broader regions in Rose et al. (2014), equatorward of 308 in the tropical case and poleward of 408 in the extratropical case. Therefore, the difference in lapse rate and cloud feedbacks between the tropical and extratropical forcing cases ismore pronounced in our study. More fundamentally, the subtropical cloud response in the tropical forcing case and the midlatitude cloud response in the extratropical forcing case are shown to offset the cloud response in the deep tropics and in high latitudes, respectively (Figs. 2b and 2c in Rose et al. 2014), which do not occur in our experiments since no heating is applied there. There could also be some nonlinear effects to enhance the response to warming relative to the response to cooling.

To better compare with GRaM and to examine the robustness of the results, experiments are performed with fixed clouds only (AM2 1 Nc) or fixed clouds and water vapor content (AM2 1 Ncq) in AM2. In a prescribed cloud model (Figs. 2b and 2c), without negative cloud feedback in the tropics, the tropical DTa becomes largest in TRO, as in GRaM (Fig. 2a). The AM2 1 Ncq experiment displays a similar response to GRaM, which has no clouds or water vapor feedbacks: both models exhibit larger DTa in EXT than in TRO by a factor of 3.3. As shown in Fig. 3b, the damping rate also exhibits a similar latitudinal profile between the two models, indicating that similar mechanisms are at effect in AM2 as in GRaM. The vertical profile of temperature response shown in Fig. 4 is also similar, exhibiting a maximum warming near the tropopause in the tropics and at around 500 hPa at the pole in TRO and surface trapped warming in the extratropics in EXT. The vertical structure of warming causes theOLRdamping to be more effective in the tropics, leading to a smaller DTa when heating is located in the tropics than in the extratropics.

The effect of water vapor feedback can be diagnosed by a comparison between AM2 1 Ncq and AM2 1 Nc. The overall response is amplified by water vapor feedback (Figs. 2b and 2c), which is consistent with reduced radiative damping rate (Fig. 3b). The response is amplified by a larger amount in EXT than in TRO (Fig. 2e): [DTa] in AM2 1 Nc is larger than that in AM2 1 Ncq by 60%in TROas opposed to 70%inEXT. The tropics with a larger increase in water vapor content (more positive water vapor feedback) also exhibit a larger tropospheric warming (stronger radiative damping) (e.g., Soden and Held 2006). The former (latter) tends to amplify (weaken) [DTa] more in TRO, as compared with EXT. Here, larger negative lapse rate feedback in the tropics overcompensates positive water vapor feedback, resulting in a smaller [DTa] increase in TRO than in EXT.

5. Discussion We show that the magnitude of global warming, which is measured as the global-mean response of temperature at the lowest model level, depends on the meridional structure of surface thermal forcing. The experiments are performed with an idealized GCM, in which water vapor- and cloud-radiative feedbacks are excluded, and a full GCM, both of which are coupled to an aquaplanet slab mixed layer ocean. The heating, often called Q flux, is prescribed in different latitudinal bands beneath the mixed layer. Both models produce the largest (least) global-mean surface warming when the surface heating is confined to a narrow polar (tropical) region. In the idealized GCM, the difference is a factor of 3.3, and this difference is amplified in the full GCM to a factor of 13. The enhanced contrast between the TRO and EXT runs in the full GCM is mostly due to clouds that act as a negative feedback in the tropics and a positive feedback in the extratropics. The full GCM with prescribed clouds and water vapor exhibits a similar response to the idealized model, confirming the robustness of the results when radiative feedbacks are inhibited.

When globally averaged, the imposed heating is balanced by net TOA radiation. A larger fraction of the heating is radiated directly to space when the temperature response is maximized aloft(above the effective radiation level), leading to weak warming near the surface. In contrast, the surface trapped temperature response cannot effectively emit OLR, requiring strong warming near the surface. Therefore, the heating confined to the tropics, where the maximum warming occurs near the tropopause following a moist adiabat, is effectively damped to result in weak global surface warming. In the extratropics, the temperature response to local heating is trapped near the surface, requiring large surface warming to emit enough OLR. This indicates that the damping rate of imposed heating is large in the tropics and small in the extratropics, suggesting that the tropical heating will be balanced by smaller surface warming than the extratropical heating. This latitudinal dependence of radiative damping rate is the fundamental reason for the stark dependence of magnitude of global surface warming on the meridional structure of thermal forcing.

These results suggest that the efficiency of localized climate forcing agent such as aerosols for warming the global surface may strongly depend on its latitudinal position, with polar sources being more effective than tropical sources. However, we note that the results herein may be at an extreme limit because of the way we designed the experiments. First, the aquaplanet mixed layer setting produces a strong Hadley circulation that leads to a sharp ITCZ with almost completely dry subtropics (Frierson et al. 2006). The clouds associated with the ITCZ are concentrated in the narrow region, which may be partly responsible for a large negative cloud forcing in the tropics that effectively damps tropical surface warming. Second, if the heating is prescribed in the troposphere rather than at the surface, the impact on the tropical lapse rate will be smaller and the temperature response at the pole will be less bottom-heavy. Also, the tropospheric warming may have a less destabilizing effect in the extratropics, which may reduce the strength of positive cloud feedback. Still, larger global surface warming is expected to extratropical heating than to tropical heating regardless of the level of the prescribed heating, as shown by Hansen et al. (1997).

Ocean upwelling in the equatorial Pacific displays strong interannual-to-multidecadal variability. Our tropical forcing case is tomimic such El Niño-like heating due to natural variability of equatorial upwelling. The equatorial ocean forcing is shown to be important for modulating the decadal trend of global temperature (Kosaka and Xie 2013). This is perplexing in light of our result that the equatorial forcing is ineffective in inducing global mean temperature response. Thus, the equatorial Pacific variability is important for global mean temperature not because of the former's efficiency for the latter, but rather because the mean upwellingmakes it a preferredmode of natural variability.

Acknowledgments. The authors are thankful toYechul Shin and Xiaojuan Liu for help with some of the model experiments and Yong-Sang Choi, Masahiro Watanabe, and Dargan Frierson for stimulating discussions. We furthermore acknowledge three anonymous reviewers for helpful comments and suggestions that greatly improved an earlier version of this paper. SMK is supported by Basic Science Research Program through the National Research Foundation ofKorea (NRF) funded by the Ministry of Science, ICT and Future Planning (2013R1A1A3004589), and SPX is supported by the National Science Foundation.

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SARAH M. KANG School of Urban and Environmental Engineering, Ulsan National Institute of Science and Technology, Ulsan, South Korea SHANG-PING XIE Scripps Institution of Oceanography, University of California, San Diego, La Jolla, California (Manuscript received 15 October 2013, in final form 19 March 2014) Corresponding author address: Sarah M. Kang, School of Urban and Environmental Engineering, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan 689-798, South Korea.

E-mail: (c) 2014 American Meteorological Society

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