The atmospheric greenhouse effect fundamentally depends on two quantities: the concentration of GHGs and the atmospheric temperature structure. An analytical model demonstrates that the radiative heat trapped by CO2 represents a swap of tropospheric emission for stratospheric emission and, therefore, can be understood in terms of a dependence on the emission temperature of both the stratosphere and troposphere (Jeevanjee et al., 2021). The former refers to the temperature of the upper stratosphere, where the CO2 absorption bands achieve unit optical depth, while the latter depends on surface temperature and free-troposphere relative humidity. Recently, He et al. (2023) used this model in conjunction with detailed radiative transfer calculations to demonstrate the dominant role that changes in upper stratospheric temperature play in determining the magnitude of the radiative forcing and greenhouse effect of CO2.
Figure 1 shows the sensitivity of the outgoing longwave radiation to the temperature perturbations within the stratosphere ranging from 100 hPa to 1 hPa. The results are obtained from a set of offline radiative transfer calculations using monthly climatological temperature and humidity profiles of pre-industrial simulations as well as the specified temperature perturbations at individual layers, by a broadband radiative transfer model [SOCRATES (Edwards & Slingo, 1996; Manners et al., 2015)].
These results demonstrate the importance of the vertical location of warming on the emission of outgoing longwave radiation. For the same magnitude of perturbation, a change in temperature at a higher altitude has a larger impact on the outgoing longwave radiation. Optimal sensitivity occurs when the temperature perturbation coincides with the level where CO2 optical depth is ~ 1 (upper stratosphere), allowing for unimpeded emission to space. Air temperature increases within the upper stratosphere provide a more efficient longwave emission to space. Thus, one can reduce the strength of the CO2 greenhouse effect by reducing the concentration of CO2 or warming the emission level of CO2.
2.1 Altitude dependence of effective radiative forcing from prescribed absorptive and reflective aerosols
To test the sensitivity to the vertical level at which the aerosols are deployed, individual effective radiative forcing (ERF) calculations are done by separately placing the aerosols in each of the highest 7 model levels (Materials and Methods; Extended Data Tables 1 & 2). Figure 2 shows the global ERF for a horizontally-uniform deployment of 0.5 Tg BC aerosols (left) and 0.5 and 5.0 Tg SO4 aerosols separately (right). For the SO4 deployments, the ERF exhibits little sensitivity to the vertical location of the aerosol layer, with an ERF of ~ 0.12 W m− 2 for 0.5 Tg of SO4 and ~ 1.3 W m− 2 for 5.0 Tg of SO4, suggesting a roughly linear relationship between SO4 aerosol loads and the corresponding ERF.
In contrast to the SO4, the ERF for BC aerosols exhibits a very strong sensitivity to the vertical level of deployment with higher altitude deployment resulting in significantly higher ERF values. Peak ERF values of ~ 2 W m− 2, which are an order of magnitude larger than that obtained for the equivalent mass of SO4, are found for the highest 2 sigma levels (σ = 0.0035 and σ = 0.0074, or roughly ~ 1–10 hPa). As shown below, this larger value of forcing results primarily from the increased longwave emission to space induced by the warming of the stratosphere. These peak forcing levels coincide with the emission level of CO2 (i.e., τ ~ 1) where the outgoing longwave radiation is most sensitive to warming (Fig. 1). The ERF rapidly diminishes below this level, becoming effectively zero for σ = 0.0701 (~ 70 hPa). Nearly identical results are found with the GFDL-AM2.1 model (Extended Data Fig. 1). The weak values of ERF when BC is placed in the lower stratosphere are consistent with previous studies that found BC to be an ineffective option for solar radiation management (Kravitz et al. 2012; Jones et al. 2016). However, these studies only considered injection in the lower stratosphere. In contrast, when BC aerosols are injected in the upper stratosphere, they deliver a much more efficient radiative forcing per unit aerosol burden (~ 12 times stronger) relative to conventional SO4-based SAI approaches with a peak ERF of -1.67 W m− 2 from 0.5 Tg BC vs. -0.12 W m− 2 from 0.5 Tg SO4.
Next, we decompose the ERF into individual shortwave and longwave components (Extended Data Fig. 2). For SO4 aerosol deployments, both the shortwave and longwave components exhibit little sensitivity to the vertical location of the aerosol layer (Extended Data Fig. 2b). For BC, which exhibits a very strong dependence of the ERF on altitude, most of this dependence (over two-thirds) results from the longwave component (Extended Data Fig. 2a), with the remainder from the shortwave which is discussed further below. To further examine the altitude dependence of BC forcing, we decompose the ERF into the instantaneous radiative forcing (IRF; direct effects) and rapid adjustments (indirect effects) (Extended Data Fig. 3; See more details in Materials and Methods). Note that we sum up the longwave IRF and stratospheric temperature adjustment as stratospheric adjusted longwave radiative forcing in Extended Data Fig. 3a to avoid discussing their altitude dependencies separately. This decomposition reveals a strong altitude dependence in the stratospheric adjusted longwave radiative forcing, ranging from − 4.7 W m− 2 in the uppermost layers to -2.2 W m− 2 in the lowest layer (Extended Data Fig. 3a). The shortwave IRF is basically the same for all aerosol layers (Extended Data Fig. 3b).
Rapid adjustments from tropospheric clouds are also strongly dependent upon the level of aerosol deployment. The longwave cloud adjustment drops from − 0.25 W m− 2 when BC aerosols are plated at σ = 0.0035 (uppermost level) to -1.43 W m− 2 when the aerosols are placed at σ = 0.0701 (lowest level). Similarly, the shortwave cloud adjustment strengthens from 0.73 W m− 2 when BC aerosols are placed at the uppermost layer to 1.23 W m− 2 when the aerosols are placed at the lowest layer. This increasing cloud adjustment is responsible for the altitude dependence of the shortwave ERF (Extended Data Fig. 3). While the temperature dependence of the CO2 emission to space is based on fundamental physics and robust across models (He et al., 2023; Jeevanjee et al., 2021), cloud adjustments to anthropogenic forcing are poorly understood and differ significantly between models (e.g., Smith et al., 2018, 2020). Thus, the cloud adjustments to stratospheric injection of BC aerosols are also likely to be model-dependent.
2.2 Effectiveness in mediating warming and related climate impacts
To evaluate the effectiveness of these SAI deployments in mediating warming, we perform a series of coupled simulations (Materials and Methods) with both the high-resolution climate model (GFDL-CM2.5-FLOR, Extended Data Table 1) and the lower-resolution (more efficient) version model (GFDL-CM2.1, Extended Data Table 2). These climate intervention simulations are initiated from pre-industrial conditions and are done for both the 0.5 Tg BC and 5.0 Tg SO4 aerosols. The 0.5 Tg BC simulation induces slightly more cooling (~ 0.8 K) compared to the 5.0 Tg of SO4 (~ 0.6 K) (Fig. 3a). The effectiveness in mediating warming is observed in both a single realization of the GFDL-CM2.5-FLOR (dotted line) and the 3-member ensemble mean of the GFDL-CM2.1 (solid line and shading). The difference in the cooling effects between that of 0.5 Tg BC and 5.0 Tg SO4 aerosols is mainly attributed to their difference in ERF, as both sets of experiments have similar feedback values (Extended Data Fig. 4a).
The more substantial cooling in the 0.5 Tg BC simulations leads to a greater reduction in global rainfall (Fig. 3b), noting that both sets of forcing experiments exhibit similar rates of rainfall reduction per unit global temperature change (Extended Data Fig. 4b). Rapid precipitation decreases are found in both of these climate intervention simulations (Fig. 3b and Extended Data Fig. 4b). In particular, the fast precipitation decline in the BC simulations occurs without significant surface temperature changes.
Similar patterns of air temperature and precipitation change are also found between both intervention strategies. We focus on the last 30 years of these coupled simulations and plot the time-mean spatial patterns of both surface air temperature and precipitation changes per unit global temperature change (Fig. 4 and Extended Data Fig. 5). Both models exhibit delayed cooling over the Southern Ocean, resulting in an interhemispheric cooling contrast with more cooling over the Northern Hemisphere and less cooling over the Southern Hemisphere. The interhemispheric contrast is more noticeable in BC simulations using the GFDL-CM2.1 (Fig. 4), enhanced by the strong Arctic amplification and the more uniform cooling over the northern Pacific, which do not occur in the SO4 simulations. Correspondingly, there is a general precipitation declining pattern, which is opposite to the “dry gets drier, and wet gets wetter” paradigm (Held & Soden, 2006), and the effect of tropical ocean warming patterns (Xie et al., 2010) under CO2 increase scenarios. There is significant drying occurring over the tropics and wetting over subtropics, while stronger wetting is found over the southern hemisphere accompanied by the southward shifts of the Inter Tropical Convergence Zone. Consistent with the above-mentioned different cooling over the tropical Pacific, BC simulations show more uniform drying over the tropics, while SO4 simulations display more drying over the eastern Pacific and tropical Atlantic, as well as an eye-catching wetting over the equatorial western Pacific.
Similar cooling patterns are also shown in the single realization of the GFDL-CM2.5-FLOR (Extended Data Fig. 5), especially for the BC simulation, except for the weaker “warming hole” over the Northern Atlantic in both simulations. In addition, noticeably inconsistent features are found over polar areas for the SO4 simulation. Different from the ensemble-mean results of GFDL-CM2.1, GFDL-CM2.5-FLOR simulates a stronger Arctic amplification with comparable strength to that of BC simulation, but it is offset by even stronger delayed cooling over the Southern Ocean, resulting in a comparable global cooling rate. It is worth noting that identical tropical cooling patterns are found consistently across the two models, especially over the tropical Pacific, with a La Niña-like pattern for the BC simulations and missed cooling over the central Pacific for the SO4 simulations, leading to identical precipitation responses. The consistent tropical responses probably suggest the role of radiative forcing in mediating warming via modulating the forced cooling patterns over the tropics, while the distinct responses over polar areas across the two models could probably be attributed to the internal variabilities, especially the low-frequency internal variability in models, considering the exact ocean model is adopted in the two climate models.
A concern of both intervention strategies is the warming of tropopause temperatures, which can lead to negative impacts on both stratospheric ozone concentrations (Mills et al., 2008; Kravitz et al., 2012) and monsoonal circulations (Hueholt et al., 2023; Simpson et al., 2019; Visioni et al., 2020). As expected, the maximum atmospheric warming closely matches the location of the aerosol layer for both SO4 and BC, although BC aerosols generate significantly more warming due to their greater absorptivity (Extended Data Fig. 6a). The higher and thinner the atmosphere, the greater the warming. Aerosols in the lower stratosphere induce more warming around tropopause and upper troposphere, and a larger increase in the saturation vapor pressure. Without enhanced water vapor transport into the area, it is reasonable to expect a decrease in the relative humidity (Extended Data Fig. 6b). Similarly, cloud fraction decreases within the upper troposphere (Extended Data Fig. 6c). The lower we prescribe the BC aerosols, the more the cloud fraction decreases, likely due to the stability Iris hypothesis (Bony et al., 2016), which states that the increased stability reduces the magnitude of the radiatively driven clear-sky mass convergence at the height of anvil clouds, thus weakening convective detrainment at that height, leading to a reduction of the anvil coverage.