Injection strategy - a driver of atmospheric circulation and ozone response to stratospheric aerosol geoengineering

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Introduction
Stratospheric aerosol injection (SAI) is a proposed solar geoengineering method aimed at temporarily offsetting some of the negative impacts of rising greenhouse gas (GHG) levels and the resulting increases in surface temperatures.The method would involve the injection of sulfate aerosols or their precursors into the lower stratosphere, which would then reflect a portion of the incoming solar radiation in a manner similar to that observed during past explosive volcanic eruptions (e.g.Kravitz and MacMartin, 2020).Many SAI studies focus primarily on the direct impacts of SAI caused by the reduction in the incoming solar radiation on the large-scale temperature or precipitation pattern.However, SAI would not perfectly cancel the GHG-induced temperature changes because the spatial and temporal pattern of the long-wave radiative forcing from GHGs is very different from that of the reflection of solar radiation by aerosols (e.g.Bala et al., 2008).In addition, the absorption of radiation by stratospheric sulfate will increase temperatures in the lower stratosphere.Both effects can drive important dynamical changes in stratospheric and tropospheric circulation, resulting in potential side-effects on a regional and/or seasonal scale.These include impacts on extratropical modes of variability, namely the Northern Annular Mode (NAM) and North Atlantic Oscillation (NAO) in the Northern Hemisphere (NH; e.g.Banerjee et al., 2021;Jones et al., 2022) and Southern Annular Mode (SAM) in the Southern Hemisphere (SH; e.g.Bednarz et al., 2022a, b).Both of these are tightly coupled to the variability in the winter stratosphere (Thompson andWallace, 1998, 2000;Baldwin and Dunkerton, 2001), and forced changes in the circulation often project onto these modes (e.g.Thompson et al., 2000;Ring and Plumb, 2007).SAI can also drive changes in the tropical tropospheric circulation, including the Hadley circulation (e.g.Cheng et al., 2022) and Walker circulation (e.g. Simpson et al., 2019), which drive precipitation patterns over large parts of the tropical and subtropical regions.
SAI-induced changes in stratospheric composition can also be important.First, stratospheric concentrations of water vapour are primarily driven by the tropical cold point tropopause temperatures, as any excess water vapour is dehydrated upon entry into the stratosphere.The SAI-induced increase in lower-stratospheric temperatures due to aerosol heating would increase cold point tropopause temperatures and thus allows more water vapour to enter the stratosphere (e.g.Krishnamohan et al., 2019;Visioni et al., 2021a;Bednarz et al., 2023a).In the lower stratosphere, water vapour acts as a greenhouse gas, trapping a portion of outgoing terrestrial radiation and reradiating it back to the surface.This effect has been shown to constitute an important contribution to the human-made climate warming (Forster and Shine, 1999;Solomon et al., 2010;Banerjee et al., 2019;Nowack et al., 2023), although few studies have estimated the importance of this effect under SAI.Based on three out of four models participating in the Geoengineering Model Intercomparison Project (GeoMIP) G4 experiment, the radiative forcing of the aerosol-induced increase in stratospheric water vapour -0.02-0.35ppmv at 100 hPa in the tropics -was estimated to be 0.004-0.077W m −2 (Pitari et al., 2014), but estimates under different SAI scenarios and strategies or in more models have been missing so far.Second, SAI will also impact the stratospheric ozone layer via multiple mechanisms, such as an enhancement of heterogeneous halogen activation on sulfate aerosols and the resulting halogen-catalysed chemical ozone loss, and via the SAI-induced changes in the largescale stratospheric transport (e.g.Tilmes et al., 2018bTilmes et al., , 2021Tilmes et al., , 2022)).Stratospheric ozone plays an important role in ecosystem and human health by shielding the surface from harmful UV-B radiation, and so its past and future evolution has been subject to thorough scrutiny due to international accords such as the Montreal Protocol and its subsequent amendments and adjustments.Recently, the impacts of SAI on ozone were addressed in a new chapter of the WMO Ozone Assessment report (WMO, 2022).
It is noteworthy that by far most of the assessment of climate impacts from a hypothetical SAI deployment comes from simulations that inject SO 2 only at a single location, usually at or near the Equator (as done in most of the GeoMIP experiments; e.g.Kravitz et al., 2015;Visioni et al., 2021b) or a combination of locations (e.g. 30 • N + 15 • N + 15 • S + 30 • S injections, as done in the recent Geoengineering Large Ensemble (GLENS) and Assessing Responses and Impacts of Solar climate intervention on the Earth system with Stratospheric Aerosol Injection (ARISE-SAI) simulations; Tilmes et al., 2018a;Richter et al., 2022).Some assessment of the injection latitude dependence on the simulated climate impacts comes from simulations injecting fixed amounts of SO 2 at single latitudes (Richter et al., 2017;Tilmes et al., 2018b;Bednarz et al., 2023a;Visioni et al., 2023), and these demonstrate a strong dependence of the simulated atmospheric and surface climate impacts on the latitude of SAI.However, while important for understanding mechanisms driving the SAI response, such single-point SAI simulations are unlikely to be representative of a plausible SAI deployment strategy, as single hemispheric deployments would strongly impact interhemispheric temperature gradients and, thus, lead to substantial precipitation changes (e.g.Haywood et al., 2013;Visioni et al., 2023).Recent studies exploring results from more than one strategy utilised an atmosphere-only model configuration and fixed magnitudes of injections that focused on only two or three idealised strategies (Franke et al., 2021;Weisenstein et al., 2022) and/or primarily on in situ microphysical and radiative changes in the stratosphere (Laakso et al., 2022).
Rather than using fixed magnitudes of injections, Zhang et al. (2023) introduced a set of comprehensive SAI strategies that span a larger part of the strategy space, while achieving the same global mean surface temperature through different combinations of the location and timing of SO 2 injections and a feedback algorithm to determine the injection amounts.These strategies were simulated in the Community Earth System Model with the Whole Atmosphere Community Climate Model version 6 (CESM2-WACCM6) in a fully coupled configuration and included an annual equatorial injection, an annual injection of equal amounts of SO 2 at 15 • N and 15 • S, an annual injection of equal amounts of SO 2 at 30 • N and 30 • S, and a polar strategy injecting SO 2 at 60 • N and 60 • S only in spring in each hemisphere.The combination of injection latitudes was selected because it was found that, depending on the magnitude of global mean cooling, there is a limited number of different injection strategies capable of yielding a significantly different surface climate (Zhang et al., 2022).We note that unlike the other recent CESM GLENS and ARISE-SAI simulations, these strategies control only the global mean surface temperatures (and not their interhemispheric and Equator-to-pole gradient) but are easier to replicate across models and as such are better suited for larger intermodel comparisons.Zhang et al. (2023) proved that despite achieving the same global mean surface temperatures, these four different injection strategies mentioned above lead to different impacts on regional surface climate.Here we use the same simulations as Zhang et al. (2023) but examine impacts on aspects of the climate system that previously have not been explored in detail in relation to the injection strategy, including stratospheric climate and chemistry (such as water vapour and ozone) and atmospheric circulation.The latter includes impacts on the stratospheric Brewer-Dobson circulation and modes of extratropical variability, with the resulting impacts on the mid-and high-latitude surface climate, and on the Hadley and Walker circulations, which drive regional tropical precipitation patterns.

SAI strategies and model simulations
We use the CESM2-WACCM6 Earth system model (Gettelman et al., 2019;Danabasoglu et al., 2020) with interactive ocean and sea ice, interactive Modal Aerosol Microphysics (MAM4; Liu et al., 2016) and interactive middle atmosphere chemistry (MA; Davis et al., 2023).The horizontal resolution is 0.9 • latitude by 1.25 • longitude, with 70 vertical levels in a hybrid-pressure coordinate up to ∼ 140 km.The model configuration simulates an internally generated quasi-biennial oscillation, although with an amplitude that is generally too weak in the lower stratosphere and not extending down to sufficiently low levels (Gettelman et al., 2019).
We use the set of SAI simulations introduced by Zhang et al. (2023).The Coupled Model Intercomparison Project Phase 6 (CMIP6) Shared Socioeconomic Pathway SSP-4.5 experiment is chosen as the background emission scenario.As discussed in MacMartin et al. (2022), this scenario is roughly consistent with the Nationally Determined Contributions in the Paris Agreement but without increased ambition (Burgess et al., 2020;UNEP, 2021).Four SAI strategies are used, each consisting of three ensemble members and covering the period 2035 to 2069 inclusive.These employ a feedback algorithm that adjusts the SO 2 injection rates in order to maintain the global mean surface temperatures at the baseline level, corresponding to 1.0 • C above preindustrial conditions (henceforth referred to as BASE_1.0); in CESM2 historical and SSP2-4.5 runs this corresponds to the mean over the period 2008-2027(see MacMartin et al., 2022, for details on the definition of climate targets).
The first strategy, henceforth denoted EQ, injects SO 2 at the Equator at 21.5 km at a constant rate throughout any given year.In the second and third strategy, denoted 15N+15S and 30N+30S, SO 2 is injected at 21.5 km at a constant rate throughout a year and at equal rates at a pair of injection latitudes of 15 • N and 15 • S or 30 • N and 30 • S, respectively.The fourth strategy, denoted POLAR, injects SO 2 at 15 km with equal rates at both 60 • N and 60 • S but only during spring at each hemisphere (so March-April-May, MAM, for 60 • N and September-October-November, SON, for 60 • S).Averaged over the last 20 years of the simulations, the injection rates needed to maintain the global mean near-surface air temperatures at 1.0 • C above preindustrial levels are 21.0, 16.3, 14.4, and 20.4 Tg-SO 2 yr −1 for EQ, 15N+15S, 30N+30S, and POLAR, respectively (Zhang et al., 2023).In all cases, we analyse the last 20 years of the simulations -i.e.2050-2069 -and, with the exception of the results in Sect.6, compare them to their baseline period (i.e. 2008-2027).

The simulated sulfate aerosol fields
The characteristics of the stratospheric circulation imply that the overall distribution of sulfate aerosols strongly depends on the location of the injection.In particular, the equatorial EQ strategy and, to a lesser extent, the tropical 15N+15S strategy lead to significant confinement of aerosols inside the tropical pipe and thus to the maximum aerosol mass mixing ratios at low latitudes (Figs.1a and S1).The subtropical 30N+30S strategy, where SO 2 is injected largely outside the tropical pipe, allows for more transport of aerosols to the mid-and high latitudes, leading to more uniform aerosol distribution (Fig. S1c).This is in agreement with the results of Weisenstein et al. (2022), who compared a twopoint 30 • N + 30 • S injection strategy with a strategy injecting SO 2 uniformly over the whole tropics using three independent chemistry-climate models, showing more uniform aerosol distributions if the injections occur in the subtropics.Finally, the 60 • N and 60 • S injections in POLAR result in the aerosol concentrations maximising in the high latitudes, with only very small levels in the tropics (Fig. 1b).Notably, the lifetime of aerosols decreases as SO 2 is injected away from the Equator and into the mid-and high latitudes (Visioni et al., 2023), leading to smaller average sizes of sulfate aerosols (Figs. 1c,d and S1) and thus larger sulfate surface area densities (Fig. 1e, f and S1).This can be explained by the stronger confinement of aerosols inside the tropical pipe for tropical injections favouring condensational growth over coagulation due to higher concentrations in grid boxes in which continuous injections are happening (Visioni et al., 2018(Visioni et al., , 2020)).
Since stratospheric circulation varies seasonally, the simulated aerosol fields under annual injections (EQ, 15N+15S, and 30N+30S) also exhibit a seasonal cycle in their optical depths (Figs.1e, f and S1).These changes are, however, much smaller than the seasonal cycle in aerosol optical depths simulated in POLAR, where SO 2 is injected only in spring at each hemisphere.The ∼ 1 month timescale for SO 2 -to-aerosol conversion alongside the seasonality in the OH supply leads to the largest concentrations of sulfate in POLAR simulated in the summer in each hemisphere before the aerosols are rapidly removed over the following season (see also Lee et al., 2021).

Temperatures
Figure 2 (top row) shows the yearly mean changes in atmospheric temperatures simulated across the different strategies compared to the baseline period.In particular, Fig. 2a and b show the vertical cross sections of the responses in EQ and POLAR (which correspond to two extreme ends of our potential strategy space; see Sect.2.2), with the analogous responses in 15N+15S and 30N+30S shown in the Supplement (Fig. S2, top row).Figure 2c shows the yearly mean temperature changes in the tropical lower stratosphere in each of the four strategies (20 • N-20 • S; 50 hPa).The seasonal mean responses are provided in Fig. S4 and are generally qualitatively similar to the yearly mean responses (Figs. 2, S2); however, seasonal differences will be further discussed in Sect. 4.
We find a strong dependency of the magnitude of the tropical lower-stratospheric heating on the SAI strategy, with EQ showing the strongest warming of ∼ 8.8 K at 50 hPa (20 • N-20 • S) and POLAR showing the smallest warming of ∼ 0.4 K in that region.This can be explained by the spatial distribution of the simulated aerosol cloud (i.e. the amount of sulfate in the tropical lower stratosphere; Sect.2, Figs.1a, b and S1) and the average aerosol size (with largest, and hence more absorptive, aerosols simulated in EQ and smallest, and hence less absorptive, aerosols in POLAR; Figs.1c, d and  S1).The results also indicate some strategy dependence of the poleward extent of the lower-stratospheric warming, although this is more difficult to isolate as the extratropical stratospheric temperature responses are also strongly controlled by dynamical processes.

Water vapour
The magnitude of the SAI-induced tropical lowerstratospheric warming controls the cold point tropopause temperatures and is thus directly related to the associated changes in stratospheric water vapour.As shown in Fig. 2d-f, all SAI strategies increase the concentration of water vapour in the stratosphere, with the magnitude of this stratospheric moistening generally tracking the magnitude of the lower-stratospheric warming and, thus, the SAI strategy.As water vapour in the lower stratosphere acts as a greenhouse gas to warm the troposphere, this secondary effect thus offsets some of the direct tropospheric cooling from the reflection of solar radiation by sulfate aerosols.The particularly strong increase in lower-stratospheric water vapour in EQ, up to 75 % at 70 hPa, thus contributes to the low efficacy of this strategy (with 21 Tg-SO 2 yr −1 needed in EQ to reach the temperature target compared to 14 and 16 Tg-SO 2 yr −1 in 30N+30S and 15N+15S, respectively; Sect.2.1) that is also caused by the strong tropical confinement of aerosols and their larger size (as discussed in more detail in Sect.2.2 here and in Zhang et al., 2023).
Regarding the corresponding radiative forcing (RF) from stratospheric moistening, an increase in 1 ppm stratospheric water vapour has been estimated to contribute a radiative forcing of 0.22-0.29 W m −2 at the tropopause (Forster and Shine, 1999;Solomon et al., 2010;Banerjee et al., 2019).We can estimate the radiative forcing from the SAI-induced stratospheric moistening using the simulated changes in water vapour at 100 hPa (i.e.near the cold point tropopause and where radiative effects of stratospheric water vapour on surface temperatures are particularly strong; e.g.Riese et al., 2012) and assuming a RF of 0 This can be compared with the RF of GHGs that is being offset, which for the SSP2-4.5 scenario equates to 1.42 W m −2 difference between 2050-2069and 2008-2027(Fricko et al., 2017)), or with the RF of sulfate itself.For the latter, using the top-of-the-atmosphere (TOA) calculations of RF from sulfate from Visioni et al. (2022), whereby a change of 0.588 stratospheric aerosol optical depth (sAOD) over 2090-2099 equated to −7.30 W m −2 at TOA, and the global and annual mean sAOD changes in Fig. S1 (bottom row) here, we can estimate that the TOA RF of sulfate in these experiments range from −2.90 W m −2 in EQ to −1.43 W m −2 in POLAR.Hence, while the RF from the SAI-induced stratospheric moistening is much smaller than the direct RF of https://doi.org/10.5194/acp-23-13665-2023Atmos.Chem.Phys., 23, 13665-13684, 2023 sulfate, it is nonetheless an important contributor and varies strongly across the different strategies; it thus needs to be factored in any considerations of efficacies of individual strategies.

Zonal winds
Figure 3a-c show the SAI yearly mean zonal winds responses for different injection locations (seasonal mean impacts are further discussed in Sect.4).The SAI-induced warming in the tropical lower stratosphere drives an anomalous strengthening of the Equator-to-pole meridional temperature gradients near the tropopause and lower stratosphere.This drives an anomalous increase in the subtropical to extratropical stratospheric westerly winds in both hemispheres via thermal wind balance in all seasons and most injection strategies, though more intermittently for the seasonal injection in POLAR (Figs.S4 and S5).In the winter and spring hemisphere, especially in the NH, the strengthening of the polar stratospheric jet at ∼ 60 • latitude is likely the result of the associated modulation of atmospheric wave propagation and convergence due to the more westerly subtropical winds (Fig. S5; see also, e.g., Walz et al., 2023).In accord with the strong dependence of the magnitude of the lower-stratospheric warming, and its poleward extent, on the SAI strategy (Fig. 2c), we also find a strong strategy dependence of the magnitude of the resulting westerly wind increase, with EQ showing the strongest annual mean westerly responses in both hemispheres and POLAR the smallest (e.g. 7 and 1 m s −1 at 50 • S and 30 hPa for EQ and PO-LAR, respectively).For POLAR, the smallest magnitude of the NH polar westerly wind increase may also be partially caused by the increased tropospheric source of wave activity in that strategy, as illustrated by the increased poleward meridional heat flux (V T H ) in the northern mid-latitude troposphere (Fig. 3d-f).An increased vertical flux of tropospheric wave activity into the stratosphere could be driven by the enhanced Arctic surface cooling in this strategy and the associated overcompensation of Arctic sea ice extent in POLAR compared to the baseline period (Fig. S6; see also Zhang et al., 2023).Changes in Arctic sea ice can drive important changes in wave propagation into the stratosphere and thus vortex strength and temperature (Scinocca et al., 2009;Sun et al., 2014;England et al., 2018); here, this effect may thus contribute to the smallest magnitude of the northern polar vortex strengthening in POLAR.
Interestingly, in all four strategies, the SAI-induced polar stratospheric westerly response is larger in the SH than in the NH (e.g. 7 m s −1 in the SH and 3 m s −1 in the NH at 50 hPa for EQ).This could be because of the associated reduction in the poleward heat flux simulated in the SH across the three strategies that injects SO 2 in the tropics or subtropics; i.e.EQ, 15N+15S, and 30N+30S (Fig. 3d-f) for all seasons (not shown).The SAI-induced reduction in tropospheric wave flux propagating into the stratosphere may help to strengthen the austral winter and spring stratospheric westerly response in the SH (Fig. S5); these are the seasons when the stratospheric climatological winds are westerly and wave propagation can occur.Accordingly, smaller-magnitude SH westerly winds responses are found during austral summer (Fig. S4), when the responses largely reflect increases due to the thermal wind response alone.The reduction in the tropospheric wave source in the SH in these three strategies could be because of the associated reduction in the meridional temperature gradients in the SH troposphere and the resulting changes in tropospheric baroclinicity (Figs.2a, b, S2, and S4; see also Butler et al., 2010).

Brewer-Dobson circulation
The SAI-induced warming in the tropical lower stratosphere and the associated zonal wind changes modulate wave propagation (as discussed in Sect.3.3.1)and, thus, drive changes in the strength of the large-scale residual circulation.Figure 4 shows the associated changes in the transformed Eulerian mean vertical and meridional velocities.The increase in the static stability of the troposphere as the result of lower-stratospheric warming and the associated reduction in wave breaking in the lowermost stratosphere (illustrated by the enhanced Eliassen-Palm (EP) flux divergence; Fig. S8) weakens upwelling in the upper troposphere and lowermost stratosphere (UTLS) region (Fig. 4a-c), which is also sometimes referred to as the shallow branch of the Brewer-Dobson circulation (BDC; e.g., Abalos et al., 2021).By mass continuity, the reduction in vertical velocities is associated with reductions in meridional velocities at the same levels (Fig. 4df).In agreement with the strong dependence of the magnitude of lower-stratospheric warming on the SAI strategy (Sect.3.1), we find a strong correlation between the magnitude of the SAI-induced weakening of the circulation in that region (Fig. 4c), with the largest changes in EQ and smallest in POLAR.
Warming in the lower stratosphere also reduces the stability of the stratosphere above it and enhances wave breaking in the middle and upper stratosphere, especially in the NH (reduction in the EP flux divergence; Fig. S8), thereby accelerating the deep branch of the BDC (Fig. 4).As with the shallow branch, we find a strong dependence of the magnitude of the response on the SAI strategy.However, there are now more spatial differences in the responses across strategies (Fig. S7), with the upwelling increasing mainly near the latitude of injection.In general, the SAI-induced changes in residual circulation in both its shallow and deep https://doi.org/10.5194/acp-23-13665-2023Atmos.Chem.Phys., 23, 13665-13684, 2023 branches will drive important changes in stratospheric transport of chemical species, including ozone (Sect.6) and water vapour (Sect.3.2), thereby modulating their distributions.It will also feed back on the simulated distributions of sulfate itself (e.g.Visioni et al., 2020).
4 Seasonal changes in the high-latitude circulation and climate

Northern Hemisphere
In the NH winter, changes in the strength of the stratospheric polar vortex can propagate down to the troposphere, affecting the distribution of sea level pressure and latitudinal shifts in the eddy-driven tropospheric jet.This coupling plays an important role in determining winter temperature and precipitation patterns across the mid-and high latitudes (Thompson and Wallace, 1998).Figure 5 shows the December-January-February (DJF) changes in sea level pressure (Fig. 5a-c), zonal winds at 850 hPa (Fig. 5d-f), and near-surface air temperatures (Fig. 5g-i

Atlantic sector
We find that the SAI-induced strengthening of the stratospheric polar vortex (Fig. 3a-c) only propagates down to the surface and leads to a positive NAO-like signature for EQ and 15N+15S (Figs.5a-c and S9), with the 15N+1S response being weaker than in EQ and not statistically significant.The positive NAO response in these strategies is associated with a poleward shift in the eddy-driven jet in the Atlantic sector (Figs.5d-f and S9) and a significant warming in the northern Eurasian region (Figs.5g-i and S9).A small cooling also occurs in these SAI strategies in western Europe (Fig. S10).
In contrast, no clear NAO signature or jet shift is found over the Atlantic sector for 30N+30S and POLAR, with the 30N+30S showing only a suggestion of a small equatorward shift in the North Atlantic jet stream instead.We note that all four strategies show a poleward jet shift near the jet exit region over Europe (right panel in Fig. S10) and that response is opposite in sign to the changes occurring over the jet entrance region in the west Atlantic sector under 30S+30N and POLAR.
The lack of strong changes in DJF sea level pressure or tropospheric jet shift over the Atlantic sector in POLAR is consistent with the absence of any substantial strengthening of the NH stratospheric polar vortex (Fig. 3b).Despite that, the POLAR strategy does show a marked cooling in the northern Eurasian region and more broadly across much of the Arctic.We hypothesise that this cooling is a manifestation of the radiative effects from the overcompensation of Arctic sea ice in that strategy compared to the baseline period (Fig. S6; also Zhang et al., 2023).Increased sea ice would lead to higher surface albedo and greater long-wave cooling of the polar surface (e.g. Lee et al., 2023).

Pacific sector
In the Pacific sector, EQ, 15N+15S, and 30N+30S all show the weakening of the sea level pressure over the North Pacific (Fig. 5a-c) -corresponding to the strengthening of the Aleutian low -and an equatorward shift in the winter jet in that region (Fig. 5d-f).The weakening of the Pacific sea level pressure increases in magnitude and moves slightly poleward as the aerosol precursors are injected away from the Equator and more in the subtropics (see Fig. S9).The SAI-induced strengthening of the Aleutian low gives rise to stronger northerly advection of tropical air on the east- (Although, we note that in these simulations the resulting statistically significant precipitation changes are located mainly above the ocean regions; Fig. S11).Unlike the dynamically driven top-down response from the stratosphere in the Atlantic sector, the Pacific response is likely driven directly in the troposphere.Strengthening of the Aleutian low, typically accompanied also by anomalously higher pressures over Canada and anomalously low pressures over the southeastern USA, is suggestive of a large-scale planetary wave response which is typical of wave trains forced by changes to tropical Pacific convective heating associated with the El Niño-Southern Oscillation (ENSO).The Pacific North American sea level pressure response is thus likely indicative of large-scale teleconnections from the SAI response in the tropical troposphere, in particular the El-Niño-like response in the Pacific (see Sect. 5).As in the Atlantic sector, POLAR does not show strong changes in the sea level pressure or jet shift over the Pacific sector.

Southern Hemisphere
The propagation of stratospheric wind anomalies down to the surface is also an important driver of year-to-year climate variability in the SH, but unlike in the NH where the stratosphere-troposphere coupling occurs primarily in winter, this coupling generally maximises in austral spring and summer.Figure 6 shows DJF changes in sea level pressures (Fig. 6a-c) and zonal wind at 850 hPa (Fig. 6d-f) simulated in the SH in the different strategies.We find that both the EQ and POLAR strategies show pattern of sea level pressure changes consisting of increased pressure in the midlatitudes and decreased pressure over the Antarctic.This corresponds to the positive phase of the Southern Annular Mode (SAM; here defined as the difference of zonal mean sea level pressure between 50 and 70 • S) and is accompanied by a statistically significant poleward shift in the SH eddy-driven jet.The magnitudes of these responses are very similar between the EQ and POLAR strategies.Interestingly, the magnitude of these responses decreases under 15N+15S relative to EQ and POLAR, and the response changes sign under 30N+30S, which shows a negative phase of SAM and a small equatorward shift in eddydriven jet instead.Bednarz et al. (2022b) analysed the SAM changes under fixed single point SO 2 injections imposed between 30 • N and 30 • S in the same CESM2 version and showed that the SAM response becomes negative under SO 2 injections in the SH as the injections are moved further into the subtropics.That work suggested that this occurs because of the poleward extent of lower stratospheric heating impacting planetary wave propagation in the stratosphere and eddy heat and momentum fluxes in the troposphere below.It is thus plausible that the SAM and jet responses in the EQ, 15N+15S, and 30N+30S strategies here are largely dynamically driven by the lower stratospheric heating in a manner consistent with Bednarz et al. (2022b).The SH highlatitude responses in POLAR, on the other hand, where the SAI direct impact is largely focused in the mid-and high latitudes in austral summer (Fig. 1h), are likely primarily driven by the cooling of the Antarctic region caused by the reduced summer insolation under SAI and the subsequent changes in meridional heat transport (in a manner analogous to that inferred for the Arctic in Lee et al., 2023), thereby forcing changes in the SH tropospheric winds and sea level pressures.However, specially designed simulations would be needed to fully diagnose such a mechanism.
We note that qualitatively and quantitatively similar results regarding the overall behaviour of the SAM and SH eddydriven jet are obtained if annual mean changes are examined instead of the austral summer responses (Fig. 6c, f).

Impacts on tropical tropospheric circulation
While changes in global mean precipitation are expected to scale largely, albeit not fully, with the corresponding changes in global mean temperatures (Niemeier et al., 2013;Zhang et al., 2023), any regional SAI-induced precipitation responses will be in part related to changes in the intensity and position of large-scale tropospheric circulation patterns, including the tropical Hadley and Walker circulations.
Figure 7 shows the simulated yearly mean changes in the (Fig. 7c-e) meridional and (Fig. 7f-h) zonal mass stream function.Shown also in Fig. 7a-b are the corresponding changes in the yearly mean precipitation under EQ and POLAR for reference.As done, for instance, in Guo et al. (2018), we define meridional and zonal mass stream functions (ϕ m and ϕ z ) according to Eqs. ( 1) and ( 2), respectively: where a is Earth radius, g is the gravitational acceleration, ϕ is latitude, V is meridional wind, and U D is the divergent component of zonal wind averaged between 10 • N-10 • S. We use four metrics of tropospheric circulation.The intensity of the Hadley circulation is calculated as the difference in ϕ m at 500 hPa between the northern (10-25 • N) and southern (25 • S-0 • ) cells.The intensity of the Walker circulation is calculated similarly but using the difference in ϕ z at 400 hPa between the cells in the Pacific (180-240 • E) and Indian ocean (60-120 • E).The position of the Intertropical Convergence Zone (ITCZ) is defined as the latitude near the Equator where ϕ m at 500 hPa changes sign.The position of the upwelling branch of the Walker circulation (i.e. the transition between its cells in the Pacific and Indian oceans) is defined as the longitude between 80-200 • E, where ϕ z at 400 hPa changes sign.
We note that a different commonly used metric of the intensity of the Walker circulation used in the literature (e.g.Kang et al., 2020) is the difference in sea level pressure between the eastern Pacific (5 • N to 5 • S, 160 to 80 • W) and the Indian Ocean and western Pacific (5 • N to 5 • S, 80 to 160 • E) regions.Since the use of this metric leads to slightly different results, we also include this metric in Fig. 6 (circles and dashed lines).

Intensity changes
We find a strong strategy dependence of the simulated changes in the intensity of the Hadley and Walker circulations.For the Hadley circulation, EQ shows the largest weakening of the Hadley circulation, followed by 15N+15S.In contrast, the two other strategies -30N+30S and POLAR -do not show significant changes in the Hadley circulation strength in the annual mean.For the Walker circulation, the weakening of its intensity is simulated under all four SAI strategies, with larger responses found for the tropical and subtropical injections (EQ, 15N+15S, and 30N+30S) and the weakest response in POLAR.The stronger weakening in EQ and 15N+15S coincides with stronger near-surface air temperature decreases over the Maritime Continent and increases over the eastern Pacific (Fig. S14), which is indicative of a canonical El-Niño-like response; this in turn coincides with more strongly suppressed convection over the western Pacific basin and relatively enhanced convection over the eastern Pacific Ocean (Figs. 7a,b,and S13).In PO-LAR, near-surface air temperatures increase more broadly over the equatorial Pacific (Fig. S14), with a weaker enhancement of convective precipitation over the eastern Pacific (Fig. 7a, b) that is suggestive of more central-Pacific-type El-Niño-like response (e.g.Yeh et al., 2009).We note that increased convective precipitation in the different El Niño regions can drive different teleconnection patterns (e.g.Calvo et al., 2017), and this effect likely contributes to the strengthening of the Aleutian low simulated in the Northern Pacific under EQ, 15N+15S, and 30N+30S in the boreal winter (Sect.4.1.2).
In general, a weakening of tropospheric Hadley and Walker circulations corresponds to a weakening of the climatological precipitation patterns, such that the regions characterised by climatologically high precipitation receive anomalously less precipitation, and the regions characterised by climatologically low precipitation receive anomalously more precipitation (i.e.dry gets wetter and wet gets drier).The results show that the tropical tropospheric circulation weakens https://doi.org/10.5194/acp-23-13665-2023Atmos.Chem.Phys., 23, 13665-13684, 2023 most under strategies injecting SO 2 in the tropics and least under a high-latitude strategy.This behaviour likely arises because of the combination of how much cooling occurs in each strategy in the tropical troposphere (compared to higher latitudes) and the strength and meridional extent of lowerstratospheric heating.The latter increases tropospheric static stability and thus reduces tropical convection, thus adding on to the decrease in the intensity brought about by the purely thermodynamic considerations.See Zhang et al. (2023) for a further discussion of this topic.

Position changes
In contrast to the strong strategy dependence of the SAI impacts on the intensity of tropical tropospheric circulation, lit-tle strategy dependence is found for the changes in the position of the Hadley and Walker circulations.All SAI strategies show a southward shift in the ITCZ (as also shown in Zhang et al., 2023) and an eastward shift in the Walker circulation.These changes are likely partially related to the corresponding GHG-induced changes in these metrics under the control SSP2-4.5 scenario (grey points in Fig. 7e, h) and their imperfect compensation under SAI in general.An exception is a stronger eastward shift in the Walker circulation under 30N+30S compared to the other strategies; this drives a significant decrease in precipitation over the Maritime Continent and Australia and increased precipitation over a large part of the equatorial Pacific (Figs. S13).The stronger eastward shift in the Walker circulation in 30N+30S also corresponds to larger weakening of its intensity, as measured by the sea level pressure method (points and dashed lines in Fig. 7e and h).The stronger response of the Walker circulation position under 30N+30S compared to other strategies may not be robust (the error bars overlap); regardless, the causes for these different responses are not yet fully understood and remain to be explored.

Impacts on stratospheric ozone
Figure 8 shows the annual mean changes in ozone mixing ratios and total ozone columns for each of the four injection strategies.In this case, we use a comparison against the control SSP2-4.5 simulation during the same period (2050-2069), as opposed to a past period with similar global mean surface temperatures as was done in other sections; this avoids complications from the concurrent changes in ozone caused by long-term changes in ozone depleting substances and greenhouse gases.This approach allows for a better isolation of the impact from increased stratospheric sulfate aerosol load.

Tropics
The increase in lower-stratospheric temperatures (Sect.3.1) and the resulting weakening of upwelling in the upper troposphere and lower stratosphere (Sect.3.3.2) increases ozone concentrations in the tropical lower stratosphere as less ozone poor air is transported from the troposphere.We find a strong strategy dependence of the magnitude of this ozone response, in line with the strong strategy dependence of the SAI-induced changes in lower-stratospheric temperatures and transport.A strong correlation between SAIinduced impacts on lower-stratospheric temperatures, ozone and transport was also previously reported from other studies, e.g.Bednarz et al. (2023a), Tilmes et al. (2022).SAIinduced changes in ozone in the middle stratosphere, in turn, reflect the combination of the SAI-induced strengthening of the deep part of the BDC (Fig. 4), decreasing and increasing ozone levels below and above climatological ozone maximum, respectively, and the reduction in active nitrogen species (NO x ) upon enhanced heterogenous N 2 O 5 hydrolysis on aerosol surfaces (Fig. S16), where the latter decelerates the gas-phase catalytic ozone loss in the middle stratosphere.
Both impacts depend strongly on the SAI strategy, with the largest middle-stratosphere BDC and NO x changes found for EQ and only very small changes for POLAR.As a result of these different competing factors, when integrated over the depth of the atmosphere, EQ shows an SAI-induced total column ozone loss of ∼ 10 DU near the Equator (as the ozone decrease at ∼ 30 hPa outweighs the ozone increase below), while no significant tropical total column ozone changes are simulated under the other SAI strategies in the yearly mean.

Northern Hemisphere
The EQ and 15N+15S strategies increase total column ozone in the NH mid-and high latitudes throughout the year (Figs.8-9), with 18 and 8 DU on average between 30-90 • N in yearly mean for EQ and 15N+15S, respectively, because of the SAI-induced changes in ozone transport (Sect.3.3.2) and the nitrogen-mediated gas-phase ozone chemistry.In the middle stratosphere, the acceleration of the BDC brings more ozone from its photochemical production region (i.e.tropical mid-stratosphere) to higher latitudes.In addition, the reduction in the NO x species upon enhanced N 2 O 5 hydrolysis on sulfate slows down gas-phase ozone loss.In the lower stratosphere, on the other hand, the SAI-induced weakening of the shallow branch of the BDC increases extratropical ozone levels as less ozone-poor air is brought from the tropical lower stratosphere.
In contrast, 30N+30S and POLAR show no strong yearly mean total column ozone changes in the NH mid-and high latitudes.This occurs because the dynamically driven ozone increases are much smaller (as the lower-stratospheric warming and the resulting BDC changes are weaker) and so are the associated NO x changes in the middle stratosphere (Fig. S16); these processes are generally offset by the halogen-catalysed ozone decreases in the lowermost stratosphere due to the enhanced heterogeneous halogen activation on sulfate (Fig. S16).The halogen-mediated ozone losses can, however, dominate during parts of the year, leading to small ozone reductions (up to ∼ 10 DU) at mid-and higher latitudes in the NH spring (30N+30S) and summer (30N+30S and POLAR; Fig. 9).

Southern Hemisphere
In the SH, SAI-induced ozone changes in the mid-and high latitudes are even more complex and reflect competing impacts from the (i) enhancement of heterogenous halogen activation on sulfate aerosols and thus increased chemical ozone loss in the lower stratosphere; (ii) strengthening of the Antarctic polar vortex under tropical lower stratospheric warming, reducing Antarctic lower stratospheric temperatures and thus facilitating enhanced formation of supercooled ternary solutions (STS) and polar stratospheric cloud (PSC) and, ultimately, enhancing halogen-catalysed ozone loss, as well as reducing in-mixing of ozone-rich mid-latitude air into the high latitudes; (iii) enhancement of N 2 O 5 hydrolysis and, thus, reduction in chemical ozone loss in the middle stratosphere; and (iv) enhancement of transport of ozone-rich air in the middle stratosphere and reduction in the transport of ozone-poor air in the lowermost stratosphere under the SAIinduced BDC changes.
As the result of these competing factors, ozone columns increase under EQ and 15N+15S in the SH subtropics but decrease slightly or stay roughly unchanged for 30N+30S and POLAR.In the mid-and high latitudes, all four SAI https://doi.org/10.5194/acp-23-13665-2023Atmos.Chem.Phys., 23, 13665-13684, 2023 strategies show significant annual mean column ozone decreases (13, 14, 22, and 18 DU ozone loss over 65-90 • S for EQ, 15N+15S, 30N+30S, and POLAR, respectively; Fig. 8), although with differences in magnitudes of these losses between the strategies in different seasons (Fig. 9).While the enhancement of sulfate aerosol surface area densities in the Antarctic stratosphere, leading to the enhancement of halogen activation on sulfate, is strongest for the 30N+30S and POLAR strategies (Figs. 1 and S1), the two tropical injections -EQ and 15N+15S -also show significant Antarctic ozone losses in the lowermost stratosphere over large parts of the year.These are likely driven by the combination of enhanced STS and PSC formation inside colder and stronger polar vortex (enhancing halogen activation; Fig. S16), as well as by the reduction in the inmixing of the ozone-rich mid-latitude air.Apart from impacting UV transmittance, these lower-stratospheric ozone reductions also markedly reduce tropospheric ozone concentrations simulated in the SH mid-and high latitudes (Figs. 8 and S15), as less stratospheric ozone is brought down to the troposphere, with potential consequences for the aerosol cooling efficiency, tropospheric chemistry, and air quality.The results thus highlight the complex interplay of dynamical, chemical, and radiative processes driving the stratospheric ozone response to SAI and call for more research to be done in quantifying the contributions of individual drivers and narrowing the associated uncertainties, in particular in a multi-model framework.

Summary and discussion
Most of the assessment of atmospheric and climate response from a hypothetical stratospheric aerosol injection to date comes from climate model simulations in which SO 2 is injected only in a single location or a combination of locations.Here we use CESM2-WACCM6 SAI simulations under a comprehensive set of SAI strategies introduced by Zhang et al. ( 2023) that achieve the same global mean surface temperature with different locations and/or timing of injections (i.e. an equatorial injection, an annual injection of equal amounts of SO 2 at 15 • N and 15 • S, an annual injection of equal amounts of SO 2 at 30 • N and 30 • S, and a polar strategy injecting SO 2 at 60 • N and 60 • S only in spring in each hemisphere).Building on the initial results in Zhang et al. (2023), we demonstrate that despite achieving the same global mean surface temperature, the different strategies result in contrastingly different impacts on stratospheric temperatures, water vapour, ozone, and the large-scale stratospheric and tropospheric circulation, with important implications for the surface climate.
First, the absorption of a portion of outgoing terrestrial and incoming solar radiation by sulfate increases lowerstratospheric temperatures.A strong SAI strategy depen- dence is found for the magnitude of the tropical lowerstratospheric warming -ranging from 8.8 K at 50 hPa in the equatorial strategy to 0.4 K in the polar strategy -driven by the differences in the simulated spatial distribution of sulfate aerosols and their size.This in turn drives a strong strategy dependence of the resulting stratospheric moisten-ing, with 49 % (2.2 ppm) increase in the tropical lowermost stratospheric water vapour at 100 hPa in EQ compared to 14 % (0.6 ppm) in POLAR.The strong increase in lowerstratospheric water vapour constitutes a positive radiative forcing (here estimated at 0.15-0.54W m −2 , depending on strategy) that offsets some of the direct aerosol-induced sur-  Zhang et al., 2023).The strong SAI strategy dependence of the lower-stratospheric warming also gives rise to a strong strategy dependence of the magnitude of the SAI-induced changes in stratospheric transport, including the increase in stratospheric westerly winds in both hemispheres, the deceleration of tropical upwelling and meridional velocities in the UTLS and shallow branch of the Brewer-Dobson circulation, and the acceleration of the deep branch of the residual circulation.Second, despite clear relationship between injection strategy -and thus the concentration of sulfate in the tropical lower stratosphere -and stratospheric circulation and climate on annual timescales, a more complicated picture emerges regarding SAI impacts on the modes of extratropical variability.In the NH during winter, the descent of the stratospheric westerly response down to the surface in the form of a positive phase of the North Atlantic Oscillation in sea level pressure and a poleward shift in the eddy-driven jet in the Atlantic sector is only simulated under the two tropical injection strategies, i.e.EQ and 15N+15S.This leads to a significant warming of near-surface winter air temperatures in northern Eurasia in these two strategies (and a suggestion of a small cooling in western Europe).In contrast, 30N+30S and POLAR do not show a clear SAI-induced responses in these regions, as the stratospheric westerly responses are smaller.In the Pacific sector, on the other hand, the three tropical or subtropical strategies -i.e.EQ, 15N+15S, and 30N+30S -lead to a strengthening of the Aleutian low in the northern Pacific (somewhat stronger for the subtropical injections) and an equatorward eddy-driven jet shift in that region.This increases near-surface air temperatures over the western US and Alaskan regions.Unlike the top-down response in the Atlantic sector, the Pacific sector response likely reflects a large-scale wave response caused by tropospheric teleconnections and changes in the tropical Pacific convective heating, although further work and more idealised experiments would be needed to fully diagnose the details of such teleconnections.
In the SH high latitudes, we find that both EQ and PO-LAR drive a positive Southern Annular Mode sea level pressure response alongside a poleward shift the SH eddy-driven jet.The response weakens for 15N+15S and changes signs for 30 • N-30 • S, where a small negative SAM sea level pressure pattern and an equatorward shift in the eddy-driven jet is found instead.We suggested differences in the primary driver of the responses between the annual and polar strategies, with the response in EQ, 15N+15S, and 30N+30S being driven primarily by the influence of lower-stratospheric heating and its poleward extent, in a manner consistent with that proposed in Bednarz et al. (2022b), and the response in POLAR being driven mostly by the direct radiative impact of the high-latitude cooling.
Third, the study finds a strong strategy dependence of the SAI-induced changes in the intensity of the tropical Hadley and Walker circulations in the troposphere.Both EQ and 15N+15S show significant weakening of the Hadley circulation that is not reproduced for 30N+30S and POLAR.The Walker circulation, on the other hand, weakens under all SAI strategies, but the magnitude of the changes is strongest for the tropical and subtropical injections.The stronger weakening of the Walker circulation in these strategies coincides with near-air surface temperatures increasing preferentially over eastern Pacific and resembling a canonical El Niño response, while the smaller response in POLAR coincides with more extensive warming over the equatorial Pacific.In general, the SAI-induced weakening of the tropical circulations results in consistent "dry gets wetter, wet gets drier" impacts on the tropical precipitation patterns.Unlike a clear strategy dependence of the intensity of tropical circulations, no clear strategy dependence is found for the position of the Hadley and Walker circulations, with the simulated changes likely partially indicating imperfect compensation of the GHGinduced changes.
Finally, the results show contrasting SAI-induced ozone responses across the four strategies, which vary depending on the region.In the tropics, SAI-induced ozone changes reflect changes in ozone transport and reductions in nitrogenmediated chemical loss in the middle stratosphere.These largely cancel out when integrated over the depth of the atmosphere, with a significant response found only for the EQ strategy (10 DU ozone decrease at the Equator compared to the same period in SSP2-4.5).In the NH mid-and high latitudes, EQ and 15N+15S show year-round column ozone increases driven by the SAI-induced changes in the large-scale ozone transport and the reductions in nitrogencatalysed chemical loss cycles.For 30N+30S and POLAR, on the other hand, these changes are smaller and offset by the chemical ozone losses from the enhanced halogen activation on sulfate, leading to small negative to zero changes in total ozone columns.In the SH, while ozone columns increase in the subtropics for EQ and 15N+15S, in the midand high latitudes, all strategies show reductions in total column ozone (ranging 13-22 DU over the Antarctic in the annual mean).These are likely driven by the combination of processes, including an enhancement of the chemical ozone loss from halogen activation -either on sulfate itself or on increased STS and PSC concentrations inside stronger and colder polar vortex -and a reduction in the ozone transport inside the strengthened polar vortex, the contribution of which varies depending on the SAI strategy used.Our results thus underscore the need for more research in quantifying the contributions of individual drivers of SAI ozone response and in narrowing the associated uncertainties, in particular in a multi-model framework.
More broadly, the results highlight the complex interplay of various radiative, dynamical, and chemical processes driving the atmospheric response to SAI -not only on the global but also in particular on regional and/or seasonal scales.Since all of these are affected differently by the different locations of the SO 2 injection, the study demonstrates the importance that the choice of the injection strategy has for the simulated climate outcomes.We have demonstrated that some of the undesirable side-effects of SAI that have been well established for tropical injections (e.g.strengthening of the NH polar vortex and the resulting positive NAO-like surface response in winter or weakening of the intensity of the Hadley and Walker circulations) appear to be mitigated for extratropical and polar injections.However, additional impacts for these strategies, like enhanced halogen activation on sulfate, changes to SAM, or strengthening of the large-scale Equator-to-pole gradient in the case of the latter (see Fig. 1c in Zhang et al., 2023), also need to be considered, highlighting the complexity and trade-offs in evaluating which strategy is most optimal.Given the large uncertainty in model representation of the various contributing processes, the results underscore the need for more research to be done in narrowing the associated uncertainties, including the evaluation of the strategy dependence in a multi-model framework.An improved understanding of the role of injection strategy from this study is thus particularly relevant for designing and informing future inter-model comparisons, including the next phase of the GeoMIP project.

Figure 2 .
Figure 2. Shading (a, d, b, e) shows the yearly mean changes in (a, b) temperatures and (d, e) water vapour for the (a, d) EQ and (b, e) POLAR strategy compared to the baseline period (2008-2027).Contours show the corresponding values in the baseline period for reference (in units of K and ppm for temperature and water vapour, respectively).Hatching indicates regions where the response is not statistically significant and taken to be smaller than ±2 standard errors in the difference in means.See Fig. S2 in the Supplement for the analogous changes in the 15N+15S and 30N+30S strategies.The right column (c, f) shows the changes in the tropical (20 • N-20 • S) temperatures at 50 hPa and water vapour at 100 hPa in each of the four strategies.The error bars denote ±2 standard error in the difference in means.

Figure 3 .
Figure 3. Shading (a, d, b, e) shows the yearly mean changes in (a, b) zonal winds and (d, e) northward meridional eddy heat flux below 100 hPa for the (a, d) EQ and (b, e) POLAR strategy compared to the baseline period.Contours show the corresponding values in the baseline period for reference.See Fig. S3 in the Supplement for the analogous changes in the 15N+15S and 30N+30S strategies.The right column shows the changes in (c) the strength of the NH (60 • S) and SH (50 • S) polar vortex at 30 hPa and (f) northward meridional heat flux at 300 hPa averaged over the NH (30-75 • N) and SH (30-75 • S) extratropics for each of the four strategies and the SSP2-4.5 scenario compared to the baseline period.Hatching in panels (a), (b), (d), (e) and error bars in panel (c) and (f) are as seen in Fig. 2.

Figure 4 .
Figure 4. Shading (a, b, d, e) shows the yearly mean changes in residual (a, b) vertical and (d, e) meridional velocities for the (a, d) EQ and (b, e) POLAR strategy compared to the baseline period.Contours show the corresponding values in the baseline period for reference.See Fig. S7 in the Supplement for the analogous changes in the 15N+15S and 30N+30S strategies.(c) and (f) show the changes in the shallow and deep branches of BDC; these are defined as means over 15 • N-15 • S at 100 hPa and over 25 • N-25 • S at 30 hPa, respectively, for w* and as the difference between 0 • -90 • N and 90 • -0 • S at 70 and at 30 hPa, respectively, for v*.Hatching in panels (a), (b), (d), (e) and error bars in panels (c) and (f) are as in Fig. 2.
) simulated in the NH in the different SAI strategies.The NAO sea level pressure index is calculated as the difference in sea level pressure in the Atlantic sector between the mid-latitudes (30-60 • N, 280-360 • E) and the polar cap (70-90 • N and all longitudes).The Pacific sea level pressure index is defined as the sea level pressure in the Aleutian low region (30-70 • N, 140-240 • E).The position of the eddy-driven jet is defined as the latitude of the maximum zonal wind at 850 hPa; this is done separately for the Atlantic (280-360 • E) and Pacific (140-240 • E) sectors.Finally, near-surface air temperatures over Eurasia and Alaska are defined as the averages over 50-85 • N, 20-120 • E and over 45-70 • N, 180-240 • E, respectively.

Figure 5 .
Figure 5. Shading (a, b, d, e, g, h) shows the DJF mean changes in the (a, b) sea level pressure, (d, e) zonal wind at 850 hPa, and (g, h) near-surface atmospheric temperatures northward from 30 • N for (a, d, g) EQ and (b, e, h) POLAR strategy compared to the baseline period.Contours (d, e) show the corresponding values in the baseline period for reference and denote the position of the climatological jet.See Fig. S9 in the Supplement for the analogous changes in the 15N+15S and 30N+30S strategies.The right columns show changes in the (c) NAO and Pacific sea level pressure index, (f) position of the Atlantic and Pacific eddy-driven jet, and (i) temperatures over Eurasian and Alaska regions (see the text for details).Hatching in panels (a), (b), (d), (e), (g), (h) and error bars in panels (c), (f), and (i) are as in Fig. 2.
https://doi.org/10.5194/acp-23-13665-2023Atmos.Chem.Phys., 23, 13665-13684, 2023 13674 E. M. Bednarz et al.: Injection strategy ern flank of the anomalous low, increasing temperatures over the western USA and Alaskan region (Fig. 5g-i).Stronger northerly advection in the eastern Pacific also brings in more moist air, and the stronger southerly advection in the western Pacific brings in more dry air.

Figure 6 .
Figure 6.Shading (a, d, b, e) shows the DJF mean changes in the (a, b) sea level pressure and (d, e) zonal wind at 850 hPa southward from 30 • S for the (a, d) EQ and (b, e) POLAR strategy compared to the baseline period.Contours in panels (b) and (e) show the corresponding values in the baseline period for reference and denote the position of the climatological jet.See Fig. S12 in the Supplement for the analogous changes in the 15N+15S and 30N+30S strategies.The right columns (c, f) show changes in the DJF mean and yearly mean SAM sea level pressure index and the position of SH eddy-driven jet (see the text for details).Hatching in panels (a), (b), (d), (e) and error bars in panels (c) and (f) are as in Fig. 2.

Figure 7 .
Figure 7. Shading (a, c, f, b, d, g) shows the early mean changes in (a, b) precipitation, (c, d) meridional mass stream function, and (f, g) zonal mass stream function for the (a, c, f) EQ and (b, d, g) POLAR strategy compared to the baseline period.Contours in panels (c), (d), (f), and (g) show the corresponding values in the baseline period for reference.See Fig. S13 in the Supplement for the analogous changes in the 15N+15S and 30N+30S strategies.The right column shows changes in the intensity of the Hadley circulation and the position of the ITCZ, the changes in the intensity of the Walker circulation (diamonds and solid lines show the results derived using the stream function method; points and dashed lines show the results derived using the sea level pressure method), and the position of the transition between its cells in the Pacific and Indian oceans for each of the four SAI strategies, as well as the control SSP2-4.5 simulation (see the text for details).Hatching in panels (a), (c), (f), (b), (d), (g) and error bars in panels (e) and (h) are as in Fig. 2.

Figure 8 .
Figure 8. Shading (a, c, b, d) shows the yearly mean changes in ozone mixing ratios for each of the EQ, 15N+15S, 30N+30S, and POLAR strategies compared to the same period (i.e.2050-2069) of the control SSP2-4.5 simulation.Contours show the corresponding values in SSP2-4.5 for reference (in the units of ppm).Hatching is as in Fig. 2. (e) Yearly mean changes in total column ozone for each of the four strategies as a function of latitude.Dashed lines indicate the associated ±2 standard errors in the difference in means.

Figure 9 .
Figure 9. Shading (left and middle) shows the seasonal mean (top to bottom is DJF, MAM, JJA (June-July-August), and SON) changes in ozone mixing ratios for the (left column) EQ and (middle column) POLAR strategies compared to the same period (i.e.2050-2069) of the control SSP2-4.5 simulation.Contours show the corresponding values in SSP2-4.5 for reference (in units of ppm).Hatching is as in Fig. 2. See Fig. S15 in the Supplement for the analogous changes in the 15N+15S and 30N+30S strategies.The column on the right shows the seasonal mean changes in total column ozone for each of the four strategies as a function of latitude.Dashed lines indicate the associated ±2 standard errors in the difference in means.