Stratospheric ozone changes under solar geoengineering : 1 implications for UV exposure and air quality 2 3

13 Various forms of geoengineering have been proposed to counter anthropogenic 14 climate change. Methods which aim to modify the Earth's energy balance by reducing 15 insolation are often subsumed under the term Solar Radiation Management (SRM). 16 Here, we present results of a standard SRM modelling experiment in which the 17 incoming solar irradiance is reduced to offset the global mean warming induced by a 18 quadrupling of atmospheric carbon dioxide. For the first time in an atmosphere-ocean 19 coupled climate model, we include atmospheric composition feedbacks for this 20 experiment. While the SRM scheme considered here could offset greenhouse gas 21 induced global mean surface warming, it leads to important changes in atmospheric 22 composition. We find large stratospheric ozone increases that induce significant 23 reductions in surface UV-B irradiance, which would have implications for vitamin D 24 production. In addition, the higher stratospheric ozone levels lead to decreased 25 ozone photolysis in the troposphere. In combination with lower atmospheric specific 26 humidity under SRM, this results in overall surface ozone concentrations increases in 27 the idealised G1 experiment. Both UV-B and surface ozone changes are important 28 for human health. We therefore highlight that both stratospheric and tropospheric 29 ozone changes must be considered in the assessment of any SRM scheme, due to 30 their important roles in regulating UV exposure and air quality. 31


Introduction
The scientific consensus (Stocker et al., 2013) is that man-made climate change caused by anthropogenic emissions of greenhouse gases such as carbon dioxide is taking place.It is recognized that reducing greenhouse gas emissions is difficult so that, under these circumstances, there is discussion on alternative measures to counteract the effects of climate change (e.g.Bala and Caldeira, 2000;Cicerone, 2006;Crutzen, 2006).Such interventions are commonly referred to as geoengineering, "the intentional large-scale manipulation of the environment that is intended to reduce undesired anthropogenic climate change" (Keith, 2000).
Here, we use an atmosphere-ocean chemistry-climate model to study atmospheric composition changes for one of the most common geoengineering modelling experiments: the reflection of solar energy before it can enter the Earth's atmosphere, an idea often depicted by the use of space mirrors (Early, 1989;Seifritz, 1989).This idealised geoengineering experiment belongs to methods subsumed under the term Solar Radiation Management (SRM).SRM methods aim to offset the additional radiative forcing due to increases in atmospheric greenhouse gas concentrations by reflecting solar radiation before it can reach the Earth's surface.A major issue with any SRM scheme is that they are not designed to directly address the cause of change, namely the elevated levels of carbon dioxide and other greenhouse gases in the Earth system.Instead they affect other processes whose changes counteract those due to the greenhouse gases (Shepherd, 2009).This has been demonstrated in numerous SRM modelling studies (e.g.Bala and Caldeira, 2000;Bala et al., 2002Bala et al., , 2003Bala et al., , 2008;;Jones et al., 2011;Kravitz et al., 2012Kravitz et al., , 2013b;;Lunt et al., 2008;Matthews and Caldeira, 2007;Niemeier et al., 2013;Ricke et al., 2010;Schmidt et al., 2012;Tilmes et al., 2013).
Atmospheric composition changes under SRM have received much attention in the context of stratospheric particle injection schemes (Budyko, 1977;Crutzen, 2006) as increased particle loadings could enhance the heterogeneous catalysis of reactions that eventually lead to ozone depletion (e.g.Heckendorn et al., 2011;Pitari et al., 2014;Pope et al., 2012;Rasch et al., 2008;Tilmes et al., 2008Tilmes et al., , 2009Tilmes et al., , 2012;;Weisenstein and Keith, 2015).This would have important implications for human health since stratospheric ozone is the major absorber of solar UV-B radiation.UV-B radiation interacts with the human DNA and has been connected to many acute and chronic illnesses of the eye, immune system and skin and, inter alia, to various forms of skin cancer (e.g.Norval et al., 2011;Slaper et al., 1996).
However, UV-B radiation is also needed in beneficial biological processes such as in the photobiological production of vitamin D (Holick, 1981).Consequently, a large future increase in the total column amount of ozone, and thus decreased surface UV-B radiation, could itself have severe adverse effects on life on Earth (McKenzie et al., 2009).Vitamin D deficiency, for example, has been related to an increased likelihood of occurrence of internal cancers, autoimmune diseases, mental illnesses and lower bone density (e.g.Mora et al., 2008;Norval et al., 2011;Ross et al., 2011;Williamson et al., 2014).Other organisms in the biosphere also depend on UV radiation including certain types of plants whose defence mechanisms against pests and pathogenic micro-organisms are regulated by UV-B radiation (Williamson et al., 2014).
Surface ozone is a pollutant, which has been associated both with diseases of the respiratory system and crop damage (Avnery et al., 2011;Silva et al., 2013).
Many countries have introduced emission controls aimed at reducing emissions of tropospheric ozone precursors.However, tropospheric surface ozone depends not just on in situ emissions but also on processes in the stratosphere.For example, changes in stratospheric ozone will impact tropospheric chemistry by altering the photolysis environment in the troposphere (Madronich et al., 2015).Similarly, the transport of ozone from the stratosphere is an important component of the tropospheric ozone budget (e.g.Holton et al., 1995;Neu et al., 2014).Any SRM scheme which affects the stratosphere could therefore also impact tropospheric composition.
In contrast to the case of particle injection schemes, stratospheric composition changes and their potential tropospheric impacts in a "space-mirror" geoengineered climate have not yet been included in a 3D atmosphere-ocean modelling study.We investigate changes in ozone, and consequently in biologically active ultraviolet surface radiation (in particular UV-B), contrasting our results with composition changes under pure greenhouse gas forcing.Changes in UV-B fluxes by changes in clouds and surface albedo are also considered.Finally, we briefly discuss potential surface ozone, and thus air quality, changes as a result of SRM.This paper is organised as follows: sections 2.1 and 2.2 introduce the model used to run the simulations and the experimental setup.Section 3.1 introduces the global and regional surface temperature response.Changes in atmospheric composition and their impact on surface UV and air quality are explained in sections 3.2.to 3.4.Finally, section 4 puts our results into context, also regarding other SRM schemes and health implications.

Model Description
A version of the recently developed atmosphere-ocean coupled configuration of the Hadley Centre Global Environment Model version 3, additionally coupled to an atmospheric chemistry scheme, has been employed here (Hewitt et al., 2011;Nowack et al., 2015).
For the atmosphere, the UK Met Office's Unified Model (MetUM) version 7.3 is used (Hewitt et al., 2011).The configuration is based on a regular grid with a horizontal resolution of 3.75° longitude by 2.5° latitude and comprises 60 vertical levels up to a height of ~84 km, and so includes a full representation of the stratosphere.Its dynamical core is non-hydrostatic and employs a semi-Lagrangian advection scheme.The radiation scheme by Edwards and Slingo (1996) is used in the MetUM, with 9 bands in the longwave and 6 bands in the shortwave part of the spectrum, extended by the k-distribution method by Cusack (1999).Subgridscale features such as clouds and gravity waves are parameterised.
For ocean dynamics and thermodynamics an updated version of the OPA component (Hewitt et al., 2011;Madec et al., 1998)  Atmospheric chemistry is represented by the United Kingdom Chemistry and Aerosols (UKCA) model in an updated version of the stratospheric chemistry configuration (Morgenstern et al., 2009) which is coupled to the MetUM.The stratospheric chemistry scheme is comprehensive.A relatively simple tropospheric chemistry scheme that simulates hydrocarbon oxidation is also included, which provides for emissions of 3 chemical species (NO (surface, lightning), CO (surface), HCHO (surface)).In addition, surface mixing ratios of 4 further species (N 2 O, CH 3 Br, H 2 , CH 4 ) are constrained by calculating the effective emission required to maintain their surface mixing ratios, e.g. for nitrous oxide 280 ppbv and for methane 790 ppbv.This keeps their tropospheric mixing ratios approximately constant at pre-industrial levels in all simulations.Nitrogen oxide emissions from lightning are parameterized according to Price andRind (1992, 1994).Ozone, nitrous oxide and methane are fully interactive in the model so that their changes in composition feedback onto changes in the radiation.Changes in photolysis rates in the troposphere and the stratosphere are calculated interactively using the Fast-JX photolysis scheme (Bian and Prather, 2002;Neu et al., 2007;Telford et al., 2013;Wild et al., 2000).Photolysis in FastJX responds, inter alia, to ozone and solar flux as well as to multiple layers of clouds of varying degrees of thickness.

The Simulations -The GeoMIP G1 Experiment
Our simulations follow standards set for the G1 experiment (see Table 1), which was defined as part of the Geoengineering Model Intercomparison Project (GeoMIP) (Kravitz et al., 2011(Kravitz et al., , 2013a)).In the G1 experiment the effect of an abrupt quadrupling of atmospheric carbon dioxide (CO 2 ) on the global mean surface temperature is approximately offset by reducing the model's solar constant.This can be thought of as an experiment in which space-mirrors reflect sunlight before it enters the Earth's atmosphere (Early, 1989;Seifritz, 1989).Starting from approximately pre-industrial concentrations with atmospheric CO 2 at ~285 ppmv (piControl), we thus carried out, firstly, an abrupt 4xCO2 experiment, in which atmospheric CO 2 is instantaneously quadrupled to ~1140 ppmv and, secondly, a G1 type experiment in which the global warming caused by 4xCO 2 was offset by a solar irradiance reduction of 49.0 Wm -2 (~3.6%).This value lies well within the range found in previous G1 modelling studies (e.g.Schmidt et al., 2012).It was obtained by iterating the radiative imbalance at the top of the atmosphere and the global mean surface temperature response to various values of solar dimming, thereby optimizing the latter towards a zero offset from the pre-industrial simulation.The radiative forcing in the 4xCO2 experiment roughly matches the levels attained by the end of the 21st century under the transient RCP8.5 forcing scenario defined for the Coupled Model Intercomparison Project phase 5 (Moss et al., 2010;Taylor et al., 2012).Both experiments were run for 75 years after the CO 2 and solar forcings were imposed.For analysis, we use the last 50 years of each experiment in the following.By design, the G1 experimental set-up does not include pre-defined changes in surface emissions of ozone depleting substances from anthropogenic sources (e.g.CFCs whose abundance is equal to zero in this set-up), or tropospheric ozone precursors.
The highly idealised nature and theoretical simplicity of the G1 experiment allows us to discuss possible unintended consequences of solar geoengineering in an intuitive way.Our stratospheric chemistry scheme allows a detailed analysis of possible changes in UV penetration into the troposphere as well as of stratospheretroposphere exchange of ozone.Our tropospheric chemistry scheme, while simplified, then allows a simple, first-order quantification of the impact of these on tropospheric composition.While the exact impact of any changes would be strongly dependent on both forcing scenario and SRM scheme, this study aims to demonstrate why changes in these metrics are to be expected for any SRM scheme.

Surface Temperature Response
The temporal evolution of the global mean surface temperature for all simulations is shown in Fig. 1.As expected, a rapid warming is found in 4xCO2 relative to piControl in response to the abrupt forcing whereas G1 remains (by design) at effectively the same average surface temperature (Table 2).Although surface temperatures are offset globally, there are important regional differences between 4xCO2 and G1.As shown in Fig. 2, the model yields the characteristic distribution of overcooling in the tropics and warming at high latitudes in G1 (Kravitz et al., 2013b), an effect which can be explained by the proportionally larger impact of reducing insolation on the tropics than on high latitudes (Bala and Caldeira, 2000;Lunt et al., 2008).

Stratospheric Ozone and Temperature Changes
Fig. 3a to Fig. 3d show latitude-height cross sections of changes in zonal mean ozone mass mixing ratio and zonal mean temperature.We find large increases in ozone in the middle-upper stratosphere (~30-50 km altitude, Fig. 3a and 3b) under both 4xCO2 and G1, a ubiquitous feature in chemistry-climate modelling studies (e.g.Oman et al., 2010) with a cooler stratosphere (Fig. 3c) under increased atmospheric CO 2 concentrations (Fels et al., 1980).Note that this cooling effect largely persists in G1; the stratosphere is warmer in some areas than in 4xCO2, but remains much colder than in piControl (compare Fig. 3c and 3d).CO 2 -driven ozone increases in the middle-upper stratosphere are well understood and are mainly caused by a slowing of temperature-dependent catalytic ozone (O 3 ) loss reactions under cooler stratospheric conditions (Haigh and Pyle, 1982), with the radical species X typically being NO, OH, Cl or Br.The cooling also shifts the thermal partitioning between atomic oxygen and ozone towards the latter, which further slows down the rate-determining step (R1.2) in the catalytic cycles (Jonsson et al., 2004).As already mentioned, the stratospheric cooling due to increased CO 2 persists in G1.In fact, the solar irradiance reduction would, as a single effect, be expected to further cool the stratosphere (Bala et al., 2003;Braesicke et al., 2011).However, some regions in the stratosphere are actually warmer in G1 than in 4xCO2 (Fig. 3d).Increased shortwave heating by higher ozone levels, local tropopause height shifts and changes in dynamical heating certainly contribute to this, and importantly so does less longwave cooling as a result of the much lower stratospheric water vapour concentrations (Maycock et al., 2011) in G1, as discussed below.
The ozone increases in the upper stratosphere are larger in G1 than under 4xCO2 (compare Fig. 3a to Fig. 3b), see also Jackman and Fleming (2014).In our simulations, there are two main drivers behind this additional ozone increase.Firstly, less ozone is photolysed (O 3 + hν -> O 2 + O) as a consequence of the reduced insolation in G1, which happens at the expense of atomic oxygen abundances: in G1 both ground state O( 3 P) and excited state O( 1 D) at a given atmospheric pressure are ~3-8% less abundant than in 4xCO2 (not shown).Less abundant atomic oxygen in turn implies a slowing of reaction (R1.2) and thus further reduced ozone loss.
Secondly, we find a significant decrease in stratospheric specific humidity in G1, which reduces HO x (OH, HO 2 , H) formation and therefore ozone loss via, for example, (R1.1) and (R1.2).Specifically, the stratosphere is ~10-20% drier in G1 than in piControl.This is related to a weaker hydrological cycle under SRM (e.g.Bala et al., 2008;Govindasamy et al., 2003;Kravitz et al., 2013b;Lunt et al., 2008;Matthews and Caldeira, 2007;Ricke et al., 2010;Schmidt et al., 2012;Tilmes et al., 2013Tilmes et al., , 2009)), which gives rise to characteristic reductions in global mean precipitation (Table 2) and evaporation.In contrast, the more humid stratosphere found under 4xCO2 (~30% wetter than pre-industrial) results in greater production of HO x species, which is additionally coupled to the above mentioned changes in O( 1 D) via the HO xproducing reaction H 2 O + O( 1 D) -> 2 OH.As O( 1 D) concentrations are lower in G1 than in 4xCO2, this further enhances the differences in HO x ; overall the abundance of OH and HO 2 is ~15-25% smaller in the middle-upper stratosphere in G1.Finally, higher levels of nitrogen oxides (NO x = NO, NO 2 ; ~5-13%) in the upper stratosphere under 4xCO2 will also contribute to the differences in ozone.They are mainly driven by changes in stratospheric temperature, photolysis, transport of the NO x precursor nitrous oxide as well as its reaction with O( 1 D); a discussion of various factors involved is for example given in Revell et al. (2012).Changes in other radical species play secondary roles in this experiment (Jackman and Fleming, 2014).
In the tropical lower stratosphere, we find ozone decreases under 4xCO2, which is characteristic for an acceleration of the Brewer-Dobson circulation under CO 2 driven tropospheric warming (Shepherd and McLandress, 2011;Nowack et al., 2015).In response to solar geoengineering, the residual circulation (not shown) and thus ozone (Fig. 3b) in the tropical lower stratosphere is almost brought back to preindustrial levels.The remaining ozone decreases mainly result from an effect often referred to as "inverse self-healing" of the ozone column (e.g.Haigh and Pyle, 1982;Jonsson et al., 2004;Portmann and Solomon, 2007), in which the increased ozone concentrations in the upper stratosphere allow less shortwave radiation to propagate to lower altitudes.Relative to pre-industrial conditions, this mechanism acts in concert with the (by design) reduced insolation to leave fewer photons of relevant wavelengths to produce ozone in the lower stratosphere.However, these effects are partly compensated by coincident decreases in ozone losses in G1, mainly due to the lower temperatures and lower HO x concentrations than in piControl.Overall, the significant changes in stratospheric ozone have important implications for UV fluxes into the troposphere and to the surface, as discussed in sections 3.3 and 3.4.

The effect of column ozone and cloud changes on surface UV-B
UV-B surface fluxes can change for a variety of reasons (Bais et al., 2015;McKenzie et al., 2011).Changes in column ozone have the potential to provide particularly strong contributions since ozone is the only major absorber of UV-B radiation in the atmosphere.As discussed above, SRM could lead to changes in column ozone; in G1, we find that relative to piControl the global mean column ozone increased by ~8% compared to only ~4% under 4xCO2 (Fig. 4 and Table 2).
The harmful effect of UV exposure on human skin is commonly measured using the UV-Index (UVI), starting at 0 and with higher UVI equalling greater skindamaging potential (WHO, 2002).Here, we use the approximate formula of Madronich (2007) to estimate UVI changes in response to the changes in column ozone in 4xCO2 and G1 under clear-sky, unpolluted conditions UVI ~ 12.5μ 2.42 (Ω/300) -1.23 (2) where μ is the cosine of the solar zenith angle and Ω the total vertical ozone column in Dobson Units (DU).As a further approximation, we use monthly and zonal mean values for column ozone, but have updated the solar zenith angle on a daily basis according to the changing solar declination.The resulting UVI is therefore both a function of the changing angle of incidence of the Sun's radiation to the Earth's surface and the seasonally varying column ozone (Fig. 4c and 4d) at a given location.The UVI found for piControl at noon and relative changes (∆UVI) for G1 and 4xCO2 in percentages, are shown in Fig. 4e and 4f (see Table 2 for global mean differences).In G1, the UVI decreases everywhere during the whole year due to both changes in column ozone and the 3.6% reduced intensity of the solar radiation.
However, the effect of the changes in ozone generally dominates.In particular, during Northern Hemisphere (NH) spring and summer average decreases of 10-20% are found at NH mid and high latitudes in G1.We caution that although the percentage changes at high latitudes may be larger, they are relative to much lower background UVI levels.In addition, formula (2) is expected to perform less well in areas of high surface albedo, as well as in regions with widespread occurrences of sea and land-ice (Madronich, 2007).Nevertheless, a further reduction in UV irradiance in already light-poor seasons and regions could aggravate medical conditions connected to vitamin D deficiency.We note that vitamin D production exhibits a slightly different sensitivity to certain wavelengths of solar radiation than is assumed in the calculation of the UVI (Fioletov et al., 2009;McKenzie et al., 2009) so that our calculations should be considered as qualitative.
Column ozone changes are not the only factor with the potential to change surface UV as a result of climate engineering.Changes in clouds, surface reflectivity (due to surface albedo changes), or aerosols could all significantly affect UV transmission, reflection and scattering.Here, we focus just on the impact of ozone and cloud changes, assuming that other changes are small under pre-industrial background conditions.The residual high-latitude warming in G1 (Fig. 2b) implies that albedo changes could play a role, e.g.due to decreases in snow and sea-ice.
However, in our model, the higher temperatures do not suffice to trigger statistically significant ice or snow loss under SRM, in agreement with multi-model studies of the G1 experiment (Kravitz et al., 2013b;Moore et al., 2014).
A common way to estimate the average effect of clouds on shortwave (SW) surface radiation is the cloud modification factor (CMF SW ).The CMF SW is the total solar irradiance (Wm -2 ) reaching the Earth's surface at any point (all-sky) divided by its idealised clear-sky value in which any cloud effects are ignored (den Outer et al., 2005).A CMF SW of 1 thus implies that the net cloud effect on surface SW radiation is zero, values larger than 1 imply SW amplification by clouds, values smaller than 1 net reflection of SW radiation by clouds.Fig. 5a and 5b show differences in the CMF SW for 4xCO2 and G1 relative to piControl.Under 4xCO2, the overall pattern of CMF SW changes is in agreement with previous (chemistry-)climate modelling results (Bais et al., 2011(Bais et al., , 2015) ) under greenhouse gas forcing.In G1 (Fig. 5b), the CMF SW is predicted to increase in many regions while decreases are virtually non-existent.Similar cloud changes have been found in previous G1 modelling studies and have been attributed to reductions in the highly reflective cloud cover at low altitudes (Kravitz et al., 2013b;Schmidt et al., 2012).Consequently, an increase in surface SW radiation from cloud changes is expected in G1, in contrast to the decrease in UVI which would follow the column ozone changes.
In order to compare the UV effects of changes in the CMF SW and changes in ozone, we use an empirical relationship established by den Outer et al. (2005) and modified by Staiger et al. (2008) to estimate the effect of the CMF SW changes in terms of the UVI at noon.The results are presented in Fig. 5c and 5d.In G1, the UVI changes by clouds are overall positive.As expected, this is the opposite sign response to the UVI changes induced by ozone.However, the cloud effect is much smaller with percentage increases of only ~1-2% for most latitudes and times compared with the much higher values for the ozone-induced changes (Fig. 4f).Only during NH summer, between around 40N-60N, are the cloud-induced UVI increases of comparable size (~5%) to the decreases driven by changes in the ozone column.
Our calculations show that cloud effects are generally small and do not offset ozoneinduced UV changes in light-poor seasons, which are the times when major problems connected to vitamin D deficiency primarily occur.
In summary, our results indicate that changes in column ozone and hence surface UV fluxes represent an important change to the climate system, which could arise following a SRM scheme and which is of potential importance for human health.
These changes would need to be taken into account when evaluating benefits and risks of any possible geoengineering scheme in which elevated atmospheric CO 2 concentrations persist.

Tropospheric Ozone Changes
As mentioned in section 1, tropospheric ozone affects air quality, human health and ecology.Ozone concentrations in the troposphere are controlled by a variety of processes which could be affected by SRM.These include i) photochemical processes influenced by changing UV-B (280-315 nm) and UV-A (315-400 nm) fluxes into the troposphere (Madronich et al., 2015;Williamson et al., 2014).High energy photons needed to produce ozone from molecular oxygen (λ < 240 nm) are absorbed at higher altitudes and tropospheric ozone levels are determined by other production and loss processes.For example, under clean environmental background conditions, ozone loss and production of the hydroxyl radical OH via is of prime importance.This reaction pathway is non-linearly dependent on stratospheric ozone changes due to the photons needed in reaction (R3.1) (McKenzie et al., 2011).
ii) changes in tropospheric concentrations of chemical species involved in the formation of ozone or its depletion, for example due to changes in atmospheric humidity and thus in concentrations of a key reactant in loss reactions such as (R3).
iii) changes in Stratosphere-Troposphere Exchange (STE) (Holton et al., 1995;Lin et al., 2014Lin et al., , 2015;;Morgenstern et al., 2009;Neu et al., 2014;Zeng et al., 2010), i.e. due to changes in the transport of ozone from the ozone-rich stratosphere into the troposphere.Such changes are strongly coupled to changes in atmospheric dynamics.
In our simulations, there is a global mean surface ozone increase in G1 (+5.0%) and a decrease in 4xCO2 (-4.2%), see Table 2.The differences between the runs are to first order determined by processes i and ii.Firstly, UV fluxes into the troposphere decrease in G1 due both to the solar irradiance reduction and the increase in stratospheric ozone concentrations.The UV reduction in G1 relative to piControl leads to a ~5-10% reduction in the flux through reaction (R3.1) in the tropical troposphere (and ~15% reduction at higher latitudes).These results contrast with the changes between 4xCO2 and piControl where the reaction flux increases in the tropical troposphere by ~15%.It is clear that changes in the stratosphere under both increased greenhouse gases, or under solar radiation management, would have important consequences for the UV fluxes into the troposphere and, hence, for surface irradiation and tropospheric chemistry.SRM does not avoid changes to the stratosphere (and hence to the troposphere) that increased CO 2 would lead to.
Secondly, the tropospheric humidity changes under SRM contrast significantly with those found under 4xCO2.In the latter case, tropospheric humidity increases while for G1 we find, in common with many other studies mentioned above, a weakening of the hydrological cycle and reduced specific humidity.In our calculations, tropospheric humidity is up to 20% lower in G1 under SRM than in piControl.In consequence, (R3.2) slows down by ~10-20% in the lower-middle troposphere and by up to ~25-30% in the upper troposphere in G1.
Changes in STE (iii) have a negligible effect on the global mean surface ozone change in G1 (Table 2).Nonetheless, STE can be regionally and seasonally important under 4xCO2, where surface ozone increases at mid-and high latitudes in the Northern Hemisphere and Southern Hemisphere (Fig. 6a).These annual mean changes result from increases during the respective winter and spring seasons when STE increases (by ~38% on the annual mean).
We emphasize that the effect of SRM on tropospheric chemistry is expected to be strongly dependent on the scenario, reference state and geoengineering method used.Here, we assume pre-industrial conditions by following the G1 scenario, which only allows for low, natural background pollution.Under different forcing scenarios other aspects of tropospheric chemistry could change the surface ozone response.
For example, different chemical mechanisms could be more important for SRM under more polluted conditions (e.g.Morgenstern et al., 2013;Squire et al., 2014;Tang et al., 2011).Nevertheless, changes in humidity and photolysis as described here are robust modelling features that could occur under a range of geoengineering scenarios.These mechanisms will be key to tropospheric chemistry considerations under geoengineering in general.Consequently, our results demonstrate the potential for substantial changes in tropospheric chemistry in the different climate state created by SRM.Here, we find a particularly strong effect in the tropics, where model surface ozone increases under G1 and decreases under 4xCO2, amounting to annual mean differences of around 5 ppbv between these two simulations in some regions, compare Fig. 6a and 6b.As with the surface ozone response under a range of RCP scenarios (which can differ in sign, Connor et al., 2014;Young et al., 2013), there is clearly a need to study surface ozone changes for a range of geoengineering forcing scenarios.

Discussion and Conclusions
Using a coupled atmosphere-ocean chemistry-climate model, we have carried out an idealised SRM experiment in which we offset the effect of quadrupling atmospheric carbon dioxide on the global mean surface temperature by reducing the incoming solar radiation.Although the global mean surface temperature is, by design, unchanged in this geoengineering experiment, other environmental factors change considerably.In particular, we find large increases in stratospheric ozone, with an ~8% increase in global mean column ozone.Solar radiation management under G1 fails to offset the cooling of the stratosphere resulting from increased CO 2 , which leads to higher ozone concentrations there.The reduction in solar flux intensity in G1 also plays a role in reducing ozone loss.In consequence, the stratospheric ozone optical depth increases and leads to a reduction in tropospheric UV, with regional and seasonal reductions of up to ~20% in local UV-indices at the surface.This reduced surface UV could have adverse effects on medical conditions connected to vitamin D deficiency.In contrast, the general decrease in UV radiation is also expected to have beneficial effects such as a reduced likelihood in populations of developing skin cancer.We find that cloud-induced UV changes play a minor role compared with the change in ozone column.
A further unintended consequence of the SRM scheme considered here would be a change in tropospheric composition.The main drivers of change are decreases in tropospheric specific humidity as well as a reduced flux of UV-B and UV-A radiation into the troposphere.Relative to the pre-industrial control run, surface ozone increases in G1 by about 5% (and decreases in 4xCO2).Such an increase is qualitatively consistent with calculations, with detailed tropospheric chemistry schemes, of tropospheric ozone changes following an increase in stratospheric ozone (e.g.Banerjee et al., 2015).A major challenge in the 21 st century will be to prevent large changes in tropospheric ozone, which would follow increased emissions of NO x and volatile organic compounds.It is important that geoengineering schemes do not make this challenge even more difficult.We note that the increase in ozone found here could also lead to a change in the lifetime of the greenhouse gas methane in a geoengineered climate (Holmes et al., 2013;Morgenstern et al., 2013) and thus in the amount of solar geoengineering needed to offset the anthropogenic greenhouse gas forcing.
It is important to stress again that our modelled changes in atmospheric composition are strongly scenario-and SRM scheme-dependent.Important factors in other scenarios that would affect composition include the reduction in ozone depleting substances by the Montreal Protocol, not considered here, or more detailed changes in tropospheric ozone precursors (Squire et al., 2015;Young et al., 2013).
For stratospheric particle injection schemes, stratospheric ozone depletion would be a major concern (e.g.Pope et al., 2012), especially in the near future.In addition, UV considerations for aerosol schemes are further complicated by UV scattering and absorption by the aerosol particles (Tilmes et al., 2012) as well as aerosol indirect effects (Kuebbeler et al., 2012).Aerosol geoengineering might also affect the stratospheric circulation (Ferraro et al., 2015) with likely changes in STE different than found here for the G1 experiment.Finally, it is also unclear how long-term injections of aerosols into the atmosphere would affect air quality at the surface due to potentially much increased particle pollution.
In conclusion, increases in CO 2 will increase the stratospheric ozone column and solar radiation management schemes will not offset this increase.In the G1 experiment considered here, large increases in stratospheric ozone are calculated leading to decreases in tropospheric UV.That surface UV and surface ozone would change under solar geoengineering is a robust modelling result and their effects on human health and ecology could be considerable.Just as with continued ocean acidification (Caldeira and Wickett, 2003) and changes in the hydrological cycle under SRM, ozone changes and their effect on surface UV and air quality would have to be expected in a solar geoengineered world.Consequently, we highlight this issue as an important factor to be accounted for in future discussions and evaluations of all SRM methods.
of the Nucleus for European Modelling of the Ocean (NEMO) framework version 3.0, coupled to the Los Alamos sea ice model CICE version 4.0 (Hunke and Lipscomb, 2008) is used.It contains 31 vertical levels reaching down to a depth of 5 km.The NEMO configuration used in this study deploys a tripolar, locally anisotropic grid which has 2° resolution in longitude everywhere, but an increased latitudinal resolution in certain regions with up to 0.5° in the tropics.

Figure 1 |
Figure 1 | Temporal evolution of the annual and global mean surface temperature anomalies.The anomalies (⁰C) are shown relative to the average temperature of the preindustrial experiment.The piControl and G1 experiment are highlighted in the inset panel with the straight lines marking the average temperature anomalies.The grey and red shading give the ±2σ temperature interval for piControl and G1 respectively.

Figure 2 |
Figure 2 | Annual mean surface temperature differences.The differences are based on the average temperatures of the last 50 years of each experiment.a 4xCO2 relative to preindustrial conditions.b G1 relative to pre-industrial conditions.Note the non-linear colour scale.Non-significant changes (using a two-tailed Student's t-test at the 95% confidence level) are marked by stippling.

Figure 4 |
Figure 4 | Column ozone differences and their impact on the UV index.Relative to piControl: left for 4xCO2, right for G1.Top row: annual mean ∆column ozone (colours, %).Non-significant changes (using a two-tailed Student's t-test at the 95% confidence level) are marked by stippling.Middle row: seasonal cycle of the column ozone changes as longitudinal and monthly means.Bottom row: seasonal cycle of the column ozone induced changes in the UV-index, and in f additionally by the solar constant reduction, at noon.Polar night regions in e, f are crossed out; both daily (solar declination) and monthly changes (ozone) are considered, giving rise to a less smooth appearance.Contour lines show pre-industrial column ozone in Dobson Units (DU) in the upper two rows and pre-industrial UV-indices in the last row.

Figure 5 |
Figure 5 | Differences in the cloud modification factor and their impact on the UV index.a Annual mean ∆CMF (colours) under 4xCO2 and b under G1 relative to piControl (contour lines).Non-significant changes (using a two-tailed Student's t-test at the 95% confidence level) are marked by stippling.Zonal mean percentage changes in the UV-index at noon induced by ∆CMF are shown for c 4xCO2 and d G1 according to the formulas by den Outer et al. (2005) and Staiger et al. (2008).Polar night regions in c, d are crossed out; both daily (solar declination) and monthly changes (ozone) are considered, giving rise to a less smooth appearance.

Figure 6 |
Figure 6 | Annual mean surface ozone changes.Absolute values (ppbv).Difference between a 4xCO2 and piControl, b G1 and piControl.Non-significant changes (using a twotailed Student's t-test at the 95% confidence level) are marked by stippling.

Table 2 |
Madronich (2007)an quantities.For piControl and corresponding differences under 4xCO2 and G1 (highlighted in bold).The clear-sky, unpolluted UV index at noon is calculated using the formula byMadronich (2007), including only changes by column ozone and by the solar irradiance reduction.Standard deviations for the annual mean data are given in brackets, with the exception of the mean UVI indices, which were calculated from climatological ozone fields without inter-annual variation.