Atmos. Chem. Phys., 7, 1693–1706, 2007 www.atmos-chem-phys.net/7/1693/2007/ © Author(s) 2007. This work is licensed under a Creative Commons License. Atmospheric Chemistry and Physics Solar cycle variations of stratospheric ozone and temperature in simulations of a coupled chemistry-climate model J. Austin1 , L. L. Hood2 , and B. E. Soukharev2 1 NOAA 2 Lunar Geophysical Fluid dynamics Laboratory, PO Box 308, Princeton, NJ 08542-0308, USA and Planetary Laboratory, University of Arizona, Tucson, AZ 85721, USA Received: 30 October 2006 – Published in Atmos. Chem. Phys. Discuss.: 27 November 2006 Revised: 31 January 2007 – Accepted: 21 March 2007 – Published: 28 March 2007 Abstract. The results from three 45-year simulations of a coupled chemistry climate model are analysed for solar cycle influences on ozone and temperature. The simulations include UV forcing at the top of the atmosphere, which includes a generic 27-day solar rotation effect as well as the observed monthly values of the solar fluxes. The results are analysed for the 27-day and 11-year cycles in temperature and ozone. In accordance with previous results, the 27-day cycle results are in good qualitative agreement with observations, particularly for ozone. However, the results show significant variations, typically a factor of two or more in sensitivity to solar flux, depending on the solar cycle. In the lower and middle stratosphere we show good agreement also between the modelled and observed 11-year cycle results for the ozone vertical profile averaged over low latitudes. In particular, the minimum in solar response near 20 hPa is well simulated. In comparison, experiments of the model with fixed solar phase (solar maximum/solar mean) and climatological sea surface temperatures lead to a poorer simulation of the solar response in the ozone vertical profile, indicating the need for variable phase simulations in solar sensitivity experiments. The role of sea surface temperatures and tropical upwelling in simulating the ozone minimum response are also discussed. 1 Introduction Variations in the solar output have long been thought to influence climate (e.g. Hershel, 1801) but rigorous links to the troposphere have only relatively recently been established (e.g. Baldwin and Dunkerton, 1989; Coughlin and Tung, 2004). While the energy output of the sun (total solar irradiance, TSI) clearly has a significant impact on the mean climate Correspondence to: J. Austin ([email protected]) on energetic grounds, variations in TSI are too small to lead to a large signal in tropospheric processes by direct radiative forcing alone. Solar variability is strongly dependent on wavelength so that even though TSI variability is a fraction of a % (e.g. Frölich, 2000), the variability increases substantially at the shorter wavelengths which affect ozone production and loss. A plausible mechanism for solar influences on the atmosphere, therefore, might invoke changes in stratospheric temperature and ozone due to ultraviolet (UV) variations. Such mechanisms have been used by Haigh (1994) for example to demonstrate the possible existence of a solar impact on the troposphere using model simulations. Solar cycle variations in both ozone and temperature are now well established in the stratosphere from observations (e.g. Hood and McCormack, 1992) and from model simulations (e.g. Brasseur, 1993). The most well-known solar variation is probably the 11-year Schwabe cycle, which has been observed in the sunspot record for over a century (Schwabe, 1843). Solar variations also occur on much shorter timescales, particularly in the range 13–80 days due to harmonics and subharmonics of the 27-day solar rotation period (e.g. Zhou et al., 1997; Hood and Zhou, 1998). To observe small changes associated with the solar cycle requires a high density of data points in space and time. Away from the Earth’s surface, satellite data provide the best opportunity of detecting such signals, but only two complete 11-year solar cycles are available from this source. Many more cycles exist for the solar rotation periods. These have now been analysed in detail and reliable information exists on both temperature and ozone (Hood, 1986; Hood and Cantrell, 1988; Chandra et al., 1994; Chen et al., 1997). Modelling studies have shown good agreement with observations for the 27-day cycle (Brasseur, 1993; Fleming et al., 1995; Williams et al., 2001), which has similar spectral changes in UV flux than the Schwabe cycle. For the 11-year cycle, even though ozone column amounts are correctly simulated (e.g. Zerefos et al., 1997), models have been consistent Published by Copernicus GmbH on behalf of the European Geosciences Union. 1694 J. Austin et al.: Solar cycle variations of ozone and temperature Table 1. List of model experiments with AMTRAC, simulating the past. For each simulation, the date indicated refers to the corresponding amounts for all the external forcings, including the WMGHGs and halogen amounts. Name Dates Solar Forcing Description TRANSA TRANSB TRANSC 1960-2005 1960-2005 1960-2005 Transient Transient Transient Transient forcings, A Transient forcings, B Transient forcings, C SL2000 2000 F10.7 =147 2000 F10.7 =222 Fixed mid-cycle Control run, 31 years Fixed solar max. Control run, 26 years SL2000B in simulating too much ozone in the middle stratosphere, and not enough in the lower and upper stratosphere (Brasseur, 1993; Haigh, 1994; Shindell et al. 1999; Tourpali et al., 2003; Egorova et al., 2004). Despite improvements in models, including the use of 3-D coupled chemistry-climate models (e.g. Labitzke et al., 2002) these differences persist. A recent synthesis of observations and comparison with model results is given by Soukharev and Hood (2006). To date, the simulations have typically been run in solar maximum versus solar minimum mode, which is of course not how the atmosphere behaves. This is to minimise the computational expense of multi-decadal simulations with 3-D models. Therefore, there is a possibility either that the full solar cycle needs to be represented, or that there are missing processes in many of the simulations completed. Early work (Callis et al., 2001, and references therein) have suggested that NOx generation in the upper mesosphere due to energetic electron precipitation (EEP) may be one such missing process and recent works (Langematz, et al., 2005; Rozanov et al., 2005a) have addressed this using updated models. These events are expected to occur more during solar minimum and in the model simulations the extra NOx is advected to the middle stratosphere where ozone can be depleted. As a consequence of the ozone “self healing” effect additional ozone is generated in the lower stratosphere. Thus, the ozone total column could be relatively unaffected by this process but the vertical profile of the ozone change would be improved in comparison with measurements. However, the amount of NOx inserted into the mesosphere in some model studies appears to be more than can be expected by EEP events alone, and questions remain as to how sufficient NOx can be advected to the tropical middle stratosphere. Indeed, recent estimates (Hood and Soukharev, 2006) tend not to support the presence of a significant impact of solar cycle NOx on tropical ozone. In this work, 27-day and 11-year solar cycle variations of ozone and temperature are investigated using transient simulations of a coupled chemistry-climate model with observed forcings. Atmos. Chem. Phys., 7, 1693–1706, 2007 2 Model simulations Results are presented from simulations of the coupled chemistry climate model AMTRAC (Atmospheric Model with TRansport And Chemistry). The simulations have been described and results have been presented previously for ozone, water and age of air (Austin and Wilson, 2006; Austin et al., 2007), and contributed to the model intercomparison experiment REF1 of Eyring et al. (2006). The model includes comprehensive stratospheric chemistry but simplified tropospheric chemistry, including mainly methane chemistry. The concentrations of well mixed greenhouse gases (WMGGs) and organic halogen molecules have been specified from observations for the period 1960–2005, and provide radiative forcings to the model climate. Sea Surface Temperatures and Sea Ice (collectively referred to as SSTs) are specified at the model lower boundary as a function of time from the Hurrell dataset (Hurrell et al., personal communication, 2005). Observed aerosol extinctions are included to represent the impact of volcanic eruptions. Monthly averaged solar forcing is specified from observations and a 27-day variation in solar forcing is superimposed as a sine wave. The model does not simulate a quasi-biennial oscillation (QBO), nor is one forced externally. Twelve complete solar cycles of model results are available from the three ensemble runs, together with 26 years or more each of fixed phase solar maximum/solar mean timeslice experiments. See Table 1 for the list of experiments completed. Solar cycles are included in the model in both the radiation and the photochemistry, but in different ways. In the radiation, the spectrally varying solar flux changes monthly in accordance with the calculations of Lean et al. (2005) but the 27-day solar rotation period was not included, because the large changes in the radiation code could not be included on a timely basis. The radiation scheme consists of 18 short wave bands, as described in more detail in Anderson et al. (2004) and references therein. In the photochemistry, solar variability is included by a linear parameterisation of the 10.7 cm flux, including a monthly mean term and a term representing the 27-day solar rotation period. The photolysis rates are calculated using a lookup table for solar maximum and solar minimum conditions. For each of the two solar phases, the 27-day amplitude was calculated using Upper Atmosphere Research Satellite SOLar STellar Irradiance Comparison Experiment (UARS SOLSTICE) data (Rottman et al., 1993; Rottman, 1999), thus requiring four data points for each photolysis coefficient, and for each of the independent parameters of the lookup table (pressure, column ozone, solar zenith angle). Computation of the lookup table required solar flux data for the 158 bands of the photolysis rate code for periods close to solar maximum and solar minimum. The corresponding 10.7 cm flux values were then used in the parameterisation (below). Model sensitivity to the 11-year solar cycle is later analysed in terms of the 10.7 cm flux, and the 27-day oscillation is analysed for solar www.atmos-chem-phys.net/7/1693/2007/ the photolysis rate and increment respectively for the 10.7 cm flux and the 27-day oscillation, which are determined by del simulations J10.7 = Jmin + (F10.7 − 69.6)(Jmax − Jmin )/154.3 (2) Solar flux at 10.7cm but the vertical profile of the ozone change would model results are available from the three ensemble runs, toroved in comparison with measurements. However, gether with 26 years or more each of fixed phase solar maxount of N Ox inserted into the mesosphere in some imum/solar mean timeslice experiments. See Table 11695 for the J. Austin Solar than cycle variations of ozone and studies appears toetbeal.:more can be expected by temperature list of experiments completed. ents alone, and questions remain as to how sufficient maximum only in terms of the 205 nm flux implied in the 300 an be advected to thedata. tropical middle stratosphere. InSOLSTICE ecent estimates andrate Soukharev, Each(Hood photolysis is given by2006) tend not 250 ort the presence of a significant impact of solar cycle J = c(J10.7 + J27 sin φ) (1) n tropical ozone. In this work, 27-day and 11-year soWhere c is a factor to correct for seasonal changes in the sune variations of ozone and temperature are investigated 200 earth distance and φ is the phase of the 27-day oscillation, ransient simulations of a coupled chemistry-climate assumed to be a sine wave with largest amplitude at solar with observed forcings. maximum in accordance with observations. J10.7 and J27 are 150 100 J27 =from J27 min + (F10.7 − 69.6)(J max − J27 min )/154.3 (3) are presented simulations of the27coupled chem50 imate model AMTRAC (Atmospheric Model with Jmax and Jmin are the photolysis rates for solar maximum and solar minimum respectively. have F10.7 is the 10.7 port And Chemistry). The simulations been de- cm solar 0 flux corresponding to the model time, which is linearly in1950 1960 1970 1980 1990 2000 and results have been presented previously for ozone, terpolated between consecutive monthly mean observed valYear nd age of air (Austin and Wilson, 2006; Austin et al., ues. J27 max and J27 min are the photolysis rate increment for and contributed to the model intercomparison the 27-day oscillation. The quantities 69.6 experand 154.3 in the Fig. 1. Observed monthly mean solar flux at 10.7 cm wavelength REF1 of Eyring et al. (2006). includes line). The broken line shows an approximate sinusoidal fit above equations refer to theThe 10.7 model cm flux value at solar miniFig. 1. (solid Observed monthly mean solar flux at 10.7 cm wavethrough the data with an 11-year period. The data were obtained mum, and the chemistry amplitude ofbut the simplified solar cycle appropriate the hensive stratospheric tropo- to length (solid line). brokenData lineCenter shows an approximate sifrom the NOAA The Geophysical (http://www.ngdc.noaa. ratemainly computations. Aschemistry. indicated byThe e.g. Rottman chemistry,photolysis including methane nusoidalgov/stp/SOLAR/ftpsolarradio.html). fit through the data with an 11-year period. The the amplitude of the 27-day oscillation varies subtrations of(1999) well mixed greenhouse gases (WMGGs) data were obtained from the NOAA Geophysical Data Center stantially over the course of the 11-year Schwabe cycle and anic halogen molecules have been specified from ob(http://www.ngdc.noaa.gov/stp/SOLAR/ftpsolarradio.html). such a variation is incorporated into Eq. (3). We do not ex3 Analysis of model data ons for theplore period 1960-2005, the physics of this,and but provide point out radiative that the oscillation arisesclimate. from movements of sunspots around theand rotating sunSolar cycles are included in the model in both the radis to the model Sea Surface Temperatures In analysing of the model results, we use the linear regression which peak during maximum the Schwabe cycle, when ation and the photochemistry, but in different ways.1999), In the (collectively referred to astheSSTs) are of specified at the algorithms of the National Algorithm Group (NAG, higher numbers of sunspots are present. The 10.7 cm radio flux is a useful proxy as detailed measurements exist for over 5 solar cycles. In this work, Chem. Phys., 0000, 0001–15, 2007we investigate the 27-day cycle only at the times of the maxima in the Schwabe cycle. Figure 1 shows the observations of 10.7 cm flux (F10.7 ) since 1950 at monthly resolution and for comparison a sinusoidal function with 11-year period, mean 145 and amplitude 75 units is drawn in the figure. While the sinusoidal function fits the general behaviour of the flux values, some cycles are much stronger than others, and in general, the flux is slightly squarer in shape than the sinusoid. No additional solar impacts such as EEP effects are included in the model. In addition to the above experiments, a 31-year control run (SL2000) was completed with fixed seasonally varying SSTs and fixed WMGGs, no volcanic aerosol and a fixed mid-cycle solar forcing. An additional 26 year simulation (SL2000B) was also completed for the year 2000 identical to the control but with the 10.7 cm flux increased by 75 units, corresponding to the flux in January 2002. To reduce the model spinup required, Experiment SL2000B was initialised with the results five years after the start of Experiment SL2000. Therefore, results for Experiments SL2000 and SL2000B are compared for only 26 years. For comparison with the transient runs, results for the difference SL2000B–SL2000 are rescaled to 100 units of F10.7 . www.atmos-chem-phys.net/7/1693/2007/ implemented on the GFDL high performance computing system. For the 27-day oscillation, the regression equation assumed was www.atmos-chem-phys.org/acp/0000/0001/ O3 =a0 + a1 t + a2 σ + a3 F10.7 + a4 sin(φ−λ) + (t) (4) where t is time in days, σ is the aerosol surface area estimated from the optical depth and λ is an assumed phase lag. is the residual term. Model results from one year periods were used. To minimise seasonal effects, the ozone values in Eq. (4) were treated as a time series of 13.5 27-day periods, which were averaged to give a single 27-day sequence of values. Calculations were performed for the 61 values of the phase lag −30 to +30 days. This method was applied to the model results for one calendar year corresponding to the peaks in each of the four Schwabe cycles – 1970, 1981, 1991 and 2001, for each of the three ensemble members. For the Schwabe cycle, a similar regression equation was assumed, where the ozone values were regressed separately for each month and for the annual average. O3 =b0 + b1 t + b2 σ + b3 F10.7 + (t) (5) where O3 is the monthly averaged ozone amount from the model and t is now in months. Equation (5) was applied for Atmos. Chem. Phys., 7, 1693–1706, 2007 John Austin et al.: Solar cycle variations of ozone and temperature J. Austin 5 et al.: Solar cycle variations of ozone and temperature 27-day lag correlation1981 27-day lag correlation1970 0 0. 0 -0.4 0.0 0.2 0.6 0.6 0.6 0.6 10.0 0.00 -0.4 3.0 0. 2 10.0 0 00.0 30.0 30.0 -30 -20 -10 0 10 20 (UV Lags O3) (UV leads O3) 30 0 3.0 30.0 -30 00 .0 10.0 -20 -10 0 10 20 (UV Lags O3) (UV leads O3) 0 0 30.0 30 -30 0. 00 0 0.6 0.20.0 Pressure hPa 0.6 0.2 1.0 0 0 0.2 0.6 10.0 0.2 30 -0.4 1.0 0.6 -20 -10 0 10 20 (UV Lags O3) (UV leads O3) -0.40 0.0 0.2 .6 0 0.3 -0.8 -0.4 0.3 0.2 0 27-day lag correlation2001 0.1 -0.8 .4 -0.0 00.2 Pressure hPa 27-day lag correlation1991 0 0 0.0 0 -30 0.1 3.0 0.6 .2 00.0 3.0 1.0 0.6 1.0 0.0 0.0 0 0 0.3 Pressure hPa 4 Pressure hPa 00.2 -0. 0 0. 0. 2 0.3 0 0.1 0.0 0.1 0.6 1696 -20 -10 0 10 20 (UV Lags O3) (UV leads O3) 30 ◦ to 30 ◦ Fig. 2. Lag correlations ozone andozone UV and averaged over the range 27 oscillation day oscillation for the years Fig. 2. Lagbetween correlations between UV averaged over latitude the latitude range30 30◦S S to 30◦ N N forfor the the 27 day for the years indicated for theindicated four solar cycles. Thecycles. contour is 0.2.is 0.2. for the four solar Theinterval contour interval and the 1981 values lower than observed. The values at zero the full 45 yearlagmodel period, usinga wide monthly (Figuresimulation 4, right panel) also covers rangeavand are erage values for eachin of the three members. similar magnitude. Theensemble values for 1970 are very The different to the years,toparticularly near 30 hPa. and This Hood is likely to regression model isother similar that of Soukharev due todifference an interfering rather thancm a solar (2006), but thebemain is dynamical that heresignal we use 10.7 impact itself. flux as the independent solar forcing term, as the model itA similar for temperature yieldsAlso, the results shown self was driven by these analysis flux values (Eqs. 1–3). as the Figurea5tropical (cf. Williams et al., 2001, 5).term The tempermodel does notinhave oscillation, theFigure QBO of ature response is very small, typically less than 0.1K per % Soukharev andchange Hoodin(2006) is not included. 205 nm flux. It is questionable whether the signal Finally, the analysis wassignificant repeatedinusing simulated tem- it is statistically muchthe of the domain, although perature as theappears dependent in thefor regression to be variable slightly positive maximum analysis. correlation. A 4 4.1 Results clear difficulty faced by the modelling technique used here, in which all the known processes are included, is separating small signals from a dataset rich in features. This is of course the problem also faced in the analysis of observations. In contrast, the simulations of Williams et al. were focused The 27-day oscillation www.atmos-chem-phys.org/acp/0000/0001/ Results are presented of the sensitivity coefficient a4 /O3 for a one percent change in solar flux at 205 nm wavelength. Results are also presented for the correlation coefficient between O3 and sin φ, i.e. the correlation between O3 and the 27-day oscillation. We repeat the presentation of Williams et al. (2001) with the AMTRAC results and a somewhat more extensive result database. Williams et al. used an early version of the Unified Model with Eulerian TRansport and Chemistry (UMETRAC) (Austin et al., 2000). Since that Atmos. Chem. Phys., 7, 1693–1706, 2007 more precisely on the 27-day oscillation since background time, thein chemistry has undergone severalaverage iterations trends WMGGs, halogens or indeed monthly so- before reaching the current version which was devellar flux were not imposed. Also,(AMTRAC) inclusion of the radiative effect the 27-day enhanced tempera- et al., oped forof the GFDLoscillation climatelikely model AM2the(Anderson ture signal in Williams et al. Rozanov et al. (2006) also have 2004). a much larger signal, by about a factor of two compared with Figure 2 shows that obtained here. the 27-day lag correlation for ozone for the four cycles, averaged for the region 30◦ S to 30◦ N. The reFor 1991 the model results below 5 hPa are in good agreesults arewith similar to thosefrom presented by and Williams et al., Fig. 2. ment measurements MLS (Hood Zhou, 1998). Williams noted significant differences At 2 hPaet andal.above the that observed signal increases to aboutoccurred 0.08% 1%change change inwas 205applied nm flux from MLS.radiation This is theand phowhen theperUV to both closest year to the analysis year, but there is a large spread in tochemistry, as opposed to just the photochemistry as applied the model results from the different solar cycles. For the late here. However, we also find substantial variations between 1970s, Hood (1986) and Hood and Cantrell (1988) suggest onethat solar cycle temperature and the next. the lag at the corthe 27-day solar For cycleexample peaks at about 0.06% per 1%peak change in 205 nmdownwards flux. The upper stratospheric peak relation increases between 1 and 10 hPa for the observations averages aboutnot twice the model value theinyear 1981 and 2001 butatdoes change substantially for 1970 and 1991. Atmos. Chem. Phys., 0000, 0001–15, 2007 The results for 2001 are in good agreement with Zhou et al. (1997), their Fig. 7, which covers the period October 1991–September 1994. However in our results, the region of high correlation extends above the stratopause. Zhou et al. note that the correlation between ozone and UV changes during the period. This is explored further in Hood and Zhou (1998) who separate the results into two 500 day periods. The first half of the period yields a lag correlation more similar to our results for 1991 while the second half yields results www.atmos-chem-phys.net/7/1693/2007/ J. Austin et al.:6 Solar cycle variations of ozone and temperatureJohn Austin et al.: Solar cycle variations of ozone and temperature 27-day lag correlation1981 27-day lag correlation1970 0.1 0.1 -0.4 1.0 3.0 0 0.2 -0. 0.0 4 0.0 Pressure hPa 0 .2 0 .2 0 0.2 -0.4 00. 0 -20 -10 0 10 20 (UV Lags T) (UV leads T) 30 27-day lag correlation1991 27-day lag correlation2001 0.2 -0.4 -30 -20 -10 0 10 20 (UV Lags T) (UV leads T) Pressure hPa 0.2 00 0. 0.0 0.2 30.0 30 -30 -0.4 10.0 0 0 0 3.0 0.0 30.0 1.0 0.2 0.0 -0.4 10.0 0. 0 -0.4 0 .02 0.6 -0.4 3.0 0 0.2 0.3 0.2 00.0 .2 1.0 30 0.1 0 0 0.3 0.0 0 -20 -10 0 10 20 (UV Lags T) (UV leads T) 0 0.1 0.2 0 -30 0.0 -30 30.0 0 30.0 0 -0 00.0.4 10.0 0.0 -0.4 Pressure hPa 10.0 0.2 0 .0 3.0 0 0.3 0.0 1.0 00 0 0.3 Pressure hPa 1697 -20 -10 0 10 20 (UV Lags T) (UV leads T) 30 ◦ ◦ ◦ N for the 27 day oscillation for the years Fig. 3. Lag correlations temperature and UVand averaged over over the latitude range Fig. 3. Lagbetween correlations between temperature UV averaged the latitude range30 30◦ SStoto3030 N for the 27 day oscillation for the years for the four solar The interval contour interval indicated for theindicated four solar cycles. Thecycles. contour is 0.2.is 0.2. averaged over all the solar cycles. This is probably because more similar toof our resultsofforthe2001. Asforcing, noted by Hood the neglect radiative as well as and possibly Zhou, the lackother of aunidentified significant 27-day solar signal response impacts, on the temperature signal. above 2 hPa in Microwave Limb Sounder (MLS) data (Waters, 1989), may related to Schwabe the fact cycle that the majority of the 4.2beThe 11-year ozone soundings were taken at night and therefore cannot reFigurevariations. 6 shows theInannual meanthe response of ozone spond to day time contrast, 3-D model is toa the solar cycle in % UT, per 100 unitsisofvery F10.7nearly , together with the strict zonal average at 00:00 which a diur2 σ uncertainty. A statistically significant solar ozone signal average. Observations of the solar signal in 1979–1980 nal is computed only in the low and middle latitude middle (Hood, 1986; Hood and Cantrell, 1988) are to lower that of and upper stratosphere, extending to similar the tropical stratothe MLS data,sphere. exceptAnthat in thisfeature case of a significant important these results iscorrelathe low latitude minimum hPa. Generally, the results tion between ozone and theresponse 27-daynear UV20signal is present in are similarwhere to thosethe observed, example, the SBUV data the lower mesosphere SBUVfor data vary diurnally. from Soukharev and Hood (2006), or the results of Randel In general, though, the model response is more dependent on and Wu (2007), but there is too much model variability to the period analysed the observations. For example, the discern than a definitive solar cycle in a large part of the domain. 1981 results are about 50% less than observed for the period November 1980 to September analysed2007 by Hood and Atmos. Chem. Phys.,1982 0000, 0001–15, Cantrell. Lag correlation results for temperature are shown in Fig. 3, which may be compared with Williams et al. (2001), Fig. 4. The results are different in many respects from their Run B, which like our simulations also excludes the 27-day cycle in the radiative terms, and indeed look more similar to their Run A, which includes the radiative term. AMTRAC has larger correlations than UMETRAC (Williams et al.), possibly bewww.atmos-chem-phys.net/7/1693/2007/ The annual mean temperature response as a function of cause the and temperature more 7.difficult to detect and pressure latitude is signal shown inis Figure The signal is requires more 27 day above cycles70than were simulated statistically significant hPa throughout the low with and UMEmiddle latitudes. In high latitudes the lower stratospheric sigTRAC. nal is opposite to the upper stratospheric signal, although not The agree significant. well with Within the observations of all theresults featuresdo are not statistically the latHood Zhou This mayresults be due the small size itudeand range 30◦ S (1998). to 30◦ N the model are to in reasonwithsignal, the solarmaking cycle computed from Stratoof able the agreement temperature the detection of a coher(SSU) dataand (Scaife et al., 2000),particularly but entspheric signalSounding in both Unit observations model results outside this latitude range, observations are less reliable and challenging. The temperature would be expected to lag the the model diverges from the observations. For the remainder UVofby greater amount than the ozone, because of the time thisapaper, we concentrate primarily on the tropical regions taken fortheasolar radiative to the and ozone. This where signal inresponse both temperature ozone can be is more more clearly clearly visibledefined. in the results for 1970 and 1991 but not present in 1981 and cycle 2001,response and not clearly The solar in the modelapparent is analysedin bythe con-observations. sidering the term b3 /O3 from the regression analysis. Figure 8 shows the vertical profiletoofthe these results, for each The ozone sensitivity 205 nm flux as a season, function of altitude is presented in Fig. 4 (cf. Williams et al., 2001, Fig. 3). Each individual www.atmos-chem-phys.org/acp/0000/0001/ Schwabe cycle is very different, although at the phase of maximum correlation, each cycle indicates a peak in the upper stratosphere with a minimum, near zero response in the lower stratosphere. This is similar to the results of Williams et al. for maximum correlation, but the AMTRAC results decrease more substantially with altitude in the upper stratosphere. The peak in the very low stratosphere, below 50 hPa in the results of Williams et al. (2001), is not simulated. In the AMTRAC results, the signal to noise Atmos. Chem. Phys., 7, 1693–1706, 2007 1698 John Austin et al.: Solar cycle variations of ozone and temperature J. Austin Ozone Sensitivity at maximum correlation Ozone Sensitivity at zero lag 0.3 3.0 0.3 1970 1981 1991 2001 MLS 1.0 Pressure hPa Pressure hPa 1.0 7 et al.: Solar cycle variations of ozone and temperature 3.0 10.0 10.0 30.0 30.0 -0.4 -0.2 0.0 0.2 0.4 0.6 % O3/% 205 nm flux 0.8 1.0 1970 1981 1991 2001 -0.4 -0.2 0.0 0.2 0.4 0.6 % O3/% 205 nm flux 0.8 1.0 Fig. 4. Ozone sensitivity in % for each % change in model 205 nm flux for the 27-day solar rotation period for the time at which the Fig. 4. Ozone sensitivity in % for each % change in model 205 nm flux for the 27-day solar rotation period for the time at which the correlation between ozonebetween and UV is aand maximum correlation (left(left panel) and lag(right (right panel). Derived from correlation ozone UV is a maximum correlation panel) andatatzero zero lag panel). Derived values values from MLS dataMLS (Hooddata (Hood 1998) for period 201991 Oct. to 1991 15 July 1994 given by by the TheThe results have been over the latitude and Zhou, 1998)and forZhou, the period 20the October 15toJuly 1994 arearegiven theblack blackline. line. results haveaveraged been averaged over the latitude ◦ ◦ N30and range S toover 30◦ Nalland over ensemble all three ensemble members. errorbars barsindicate indicate 95% intervals from the linearthe regression range 30◦ S to 30 three members. TheThe error 95%confidence confidence intervals from linear regression analysis. analysis. Temp Sensitivity at zero lag Temp Sensitivity at maximum correlation Pressure hPa Pressure hPa 0.3 not imposed. Also, inclusion of the radiative effect of were the 27-day oscillation likely enhanced the temperature signal in Williams et al. Rozanov et al. (2006) also have a much 1970 1.0 1981by about a factor of two compared with that larger signal, obtained 1991 here. 2001 3.0 For 1991 the model results below 5 hPa are in good agreement with measurements from MLS (Hood and Zhou, 1998). At10.0 2 hPa and above the observed signal increases to about 0.08% per 1% change in 205 nm flux from MLS. This is the closest year to the analysis year, but there is a large spread in 30.0 the30.0 model results from the different solar cycles. For the late The observed ozone sensitivity from Hood and Zhou 1970s, Hood (1986) and Hood and Cantrell (1988) suggest -0.2 0.24). -0.2 -0.1 0.0 0.1 0.2 (1998) peaks at about 0.4% at 5 hPa-0.1 (black0.0curve0.1in Fig. Temp K/% 205 nm flux Temp K/% 205 nm solar flux cycle peaks at about 0.06% that the 27-day temperature The model simulations for 1991 and 2001 are in good agreeper 1% change in 205 nm flux. The upper stratospheric peak ment with these values, with the 1970 values too high and in observations at about twice the model value Fig. 5. Temperature sensitivity in K for each % change in model 205 nm the flux for the 27-day solaraverages rotation period for the time at which the the 1981 values lower than observed. The values at zero lag correlation between ozone and UV is a maximum correlation (left panel) and at zeroover lag (right panel). Derived values from MLS data (Hood because averaged all the solar cycles. This is probably (Fig. 4, right panel) also covers wide20range andto are similar and Zhou, 1998) for theaperiod Oct. 1991 15 July 1994 are given by the black line. The results have been averaged over the latitude ofbars theindicate neglect of the radiative forcing, as well as possibly ◦ ◦ S to 30for N and overare all three members. 95% confidence intervals from the linear regression in magnitude. range The 30values 1970 veryensemble different to theThe error other unidentified impacts, on the temperature signal. analysis. other years, particularly near 30 hPa. This is likely to be due 0.3 this part of the atmosphere, so the ratio became very small in results are not plotted. The likelihood is that the Williams et al. (2001) result there is1.0not a1970 real effect for the same rea1981 son. Rozanov et al. (2006) also found a marked variation in the sensitivity to the year of1991 simulation in a sequence of 2001 3.0 individual 1-year simulations. Their mean results are also MLS in good agreement with observations, but in the mesosphere their ozone sensitivity is10.0 larger than the results obtained here. This could be a result of the simplified mesospheric chemistry in the current work. to an interfering dynamical signal rather than a solar impact 4.2 The 11-year Schwabe cycle averaged over all three ensemble members and averaged over mum, so the values in Figure 8 should be multiplied by 1.25 itself. the latitude range 25◦ S to 25◦ N. For a typical solar cycle, A similar analysis for temperature the results the difference between solaryields maximum and solarshown minimum is 125-150et units, on 5). the definition of solar maxiin Fig. 5 (cf. Williams al., depending 2001, Fig. The temperature response is very small, typically less than 0.1 K per % change in 205 nm flux.www.atmos-chem-phys.org/acp/0000/0001/ It is questionable whether the signal is statistically significant in much of the domain, although it appears to be slightly positive for maximum correlation. A clear difficulty faced by the modelling technique used here, in which all the known processes are included, is separating small signals from a dataset rich in features. This is of course the problem also faced in the analysis of observations. In contrast, the simulations of Williams et al. were focused more precisely on the 27-day oscillation since background trends in WMGGs, halogens or indeed monthly average solar flux Atmos. Chem. Phys., 7, 1693–1706, 2007 1.50 for a full solar cycle. However, even on a monthly mean Figure 6 cm shows thesolar annual mean of ozone to the the 10.7 flux at maximum canresponse vary substantially. Eachcycle season in has % qualitatively providing confi- with the solar per 100similar unitsresults of F10.7 , together 2 σ uncertainty. A statistically significant solar ozone signal is computedAtmos. only in the Phys., low and Chem. 0000,middle 0001–15,latitude 2007 middle and upper stratosphere, extending to the tropical lower stratosphere. An important feature of these results is the low latitude minimum response near 20 hPa. Generally, the results are similar to those observed, for example, the SBUV data from Soukharev and Hood (2006), or the results of Randel and Wu (2007), but there is too much model variability to discern a definitive solar cycle in a large part of the domain. The annual mean temperature response as a function of pressure and latitude is shown in Fig. 7. The signal is www.atmos-chem-phys.net/7/1693/2007/ J. Austin et Fig. 4. Ozone sensitivity in % for each % change in model 205 nm flux for the 27-day solar rotation period for the time at which the correlation between ozone and UV is a maximum correlation (left panel) and at zero lag (right panel). Derived values from MLS data (Hood and Zhou, 1998) for the period 20 Oct. 1991 to 15 July 1994 are given by the black line. The results have been averaged over the latitude range 30◦ S to 30◦ N and over all three ensemble members. The error bars indicate 95% confidence intervals from the linear regression al.:analysis. Solar cycle variations of ozone and temperature Temp Sensitivity at zero lag Temp Sensitivity at maximum correlation 0.3 3.0 0.3 1970 1981 1991 2001 MLS 1.0 Pressure hPa Pressure hPa 1.0 1699 3.0 10.0 10.0 30.0 30.0 -0.2 -0.1 0.0 0.1 Temp K/% 205 nm flux 0.2 1970 1981 1991 2001 -0.2 -0.1 0.0 0.1 Temp K/% 205 nm flux 0.2 Fig. 5. Temperature K for each in model 205 205 nm nm flux forforthe solarrotation rotation period theat time Fig. 5.sensitivity Temperatureinsensitivity in K % for change each % change in model flux the 27-day 27-day solar period for thefor time whichat thewhich the correlation between ozonebetween and UV is aand maximum correlation (left panel) andand at atzero (rightpanel). panel). Derived values fromdata MLS data (Hood correlation ozone UV is a maximum correlation (left panel) zerolag lag (right Derived values from MLS (Hood 1998) for period 20 Oct. to 1991 15 July 1994 givenby bythe the black black line. results havehave been been averaged over theover latitude and Zhou, 1998)and forZhou, the period 20the October 1991 15 toJuly 1994 areare given line.The The results averaged the latitude ◦ ◦ N30and range S toover 30◦ Nalland over ensemble all three ensemble members. error barsindicate indicate 95% 95% confidence intervals from from the linear range 30◦ S to 30 three members. The The error bars confidence intervals theregression linear regression 8 analysis. John Austin et al.: Solar cycle variations of ozone and temperature analysis. 3.0 10.0 0 1.00 0.5 1.0 30.0 00 Atmos. Chem. Phys.,1.0000, 0001–15, 2007 3.0 1.50 Pressure hPa www.atmos-chem-phys.org/acp/0000/0001/ 0 1.0 1.0 mum, so the values in Figure 8 should be multiplied by 1.25 0.3a full solar cycle. However, even on a monthly mean 1.50 for the 10.7 cm flux at solar maximum can vary substantially. .50 providing confiEach season has qualitatively similar0results Pressure hPa averaged over all three ensemble members and averaged over 0.3 the latitude range 25◦ S to 25◦ N. For a typical solar cycle, the difference between solar maximum and solar minimum 0.50 is 125-150 units, depending 0 the definition of solar maxi0.5on 10.0 30.0 2. 00 1..5 00 0 0 100.0 -90 -60 -30 0 30 60 90 Latitude 100.0 -90 -60 -30 0 30 60 90 Latitude Fig. 6. Simulated Left panel: Simulated annual ozone mean ozone responseinin% % per per 100 of of 10.710.7 cm flux a function of pressure latitude.and latitude. Fig. 6. Left panel: annual mean solarsolar response 100units units cm as flux as a function of and pressure panel: 2 σ uncertainty in the derived solar response. contourinterval interval isis0.25% in both panels. Right panel: 2Right σ uncertainty in the derived solar response. TheThe contour 0.25% in both panels. Pressure hPa 0.1 0.1 0.1 3 0.1 3 ure 8 shows the vertical profile of these results, for each season,0.3 averaged over all three ensemble members and averaged over the latitude range 25◦ S to 25◦ N. For a typical 1.0 the difference between solar maximum and sosolar cycle, lar minimum is 125–150 units, depending on the definition of solar3.0 maximum, so the values in Fig. 8 should be multiplied by 1.25–1.50 for a full solar cycle. However, even on a monthly mean the 10.7 cm flux at solar maximum can 10.0 vary substantially. Each season has qualitatively similar results providing confidence in the results, but the most strik30.0 ing feature is the local minimum in the solar response near 20 hPa. The demonstration of a statistically significant mini0.1 mum100.0 response does not appear in any other published model -90 (e.g. -60 -30 0 et 30al.,60 90 Tourpali et al., 2003; results to date Shindell 1999; Latitude Egorova et al., 2004). Rozanov et al. (2005b) simulated a slight minimum response in this region, but they did not 0.3 Pressure hPa 0.5 0.3 0.1 0.3 statistically significant above 70 hPa throughout the low and middle latitudes. In high latitudes the lower stratospheric sig1.0 nal is opposite to the upper stratospheric signal, although not all the features are statistically significant.0.5Within the latitude range 30◦ S to 30◦ N 3.0 the model results are in reasonable agreement with the solar cycle computed from Stratospheric Sounding Unit (SSU) 10.0data (Scaife et al., 2000), but outside this latitude range, observations are less reliable and the model diverges from the observations. For the remainder 30.0 of this paper, we concentrate primarily on the tropical regions 0.3 ozone can be where the solar signal in both temperature and more clearly defined. 100.0 -90 model -60 -30 0 30 by 60con90 The solar cycle response in the is analysed Latitude sidering the term b /O from the regression analysis. Fig- Fig. 7. Left panel: Simulated annual mean temperature solar response in K per 100 units of 10.7 cm flux as a function of pressure and latitude. Right panel: 2 σ uncertainty in the derived solar response. The contour interval is 0.1K in both panels. www.atmos-chem-phys.net/7/1693/2007/ dence in the results, but the most striking feature is the local minimum in the solar response near 20 hPa. The demonstration of a statistically significant minimum response does Atmos. Chem. Phys., 7, 1693–1706, 2007 The annual mean ozone response (Figure 9) compares well with the observations of Soukharev and Hood (2006). While the observational analysis implies quite large uncertainties, Latitude Latitude Fig. 6. Left panel: Simulated annual mean ozone solar response in % per 100 units of 10.7 cm flux as a function of pressure and latitude. Right panel: 2 σ uncertainty in the derived solar response. The contour interval iset 0.25% both panels. J. Austin al.: inSolar cycle variations of ozone and temperature Pressure hPa 0.5 3.0 10.0 10.0 0.1 30.0 0.1 30.0 3.0 0.3 Pressure hPa 1.0 0.5 0.3 0.1 1.0 0.3 0.1 0.3 0.1 1700 0.3 100.0 -90 -60 -30 0 30 60 90 Latitude 0.1 100.0 -90 -60 -30 0 30 60 90 Latitude Fig. 7. Left panel: Simulated annual mean temperature solarresponse response in units of 10.7 a function of pressureof andpressure and Fig. 7. Left panel: Simulated annual mean temperature solar in KKper per100100 units of cm 10.7flux cmasflux as a function 2 σ uncertainty in the derived response.The The contour contour interval is 0.1K in K both latitude. Rightlatitude. panel:Right 2 σ panel: uncertainty in the derived solarsolar response. interval is 0.1 inpanels. both panels. JJA Atmos. Chem. Phys., 0000, 0001–15, 2007 10.0 SON 30.0 100.0 -2 -1 0 1 O3 %/100 units F107 2 3 Fig. 8. Simulated seasonal mean ozone solar response in % per 100 units of 10.7 cm flux. The results have been averaged over the latitude range 25◦ S to 25◦ N and over all three ensemble members. The error bars seasonal indicate 95% confidence intervals from theinlinear Fig. 8. Simulated mean ozone solar response % per regression analysis. 100 units of 10.7 cm flux. The results have been averaged over the latitude range 25◦ S to 25◦ N and over all three ensemble members. The error bars indicate 95% confidence intervals from the linear comment on the feature or provide any analysis to confirm regression analysis. whether it was realistic or an aspect of random interannual variability. The annual ozone response (Fig.in9)the compares well nal variations startmean to become important upper stratowith the observations of Soukharev and Hood (2006). While sphere and mesosphere and the observations represent a biobservational quite uncertainties, ased, the day-time solar analysis impact, implies whereas thelarge model results inthe satellite instruments all yield qualitatively similar results clude with night time values. Generally, there are significant disa minimum in the pressure range 10–25 hPa. Its precise crepancies with SBUV data, but the low vertical resolution of those instruments may have contributed. There may be Atmos. Chem. Phys., 7, 1693–1706, 2007 some sensitivity to the period analysed but in further investigations it was found that the error bars in the measurements were larger than any difference between solar cycles. Tour- Pressure hPa 3.0 9 The annual mean ozone response (Figure 9) compares well location depends on factors such as data resolution. In genwith the observations of Soukharev and Hood (2006). While the observational quite large eral, the modelanalysis agreesimplies reasonably welluncertainties, with HALOE data, the satellite all yield qualitatively similar results but doesn’tinstruments reproduce the O3 upper stratospheric results of the solar cycle %/100 units with a minimum in the pressure range 10-25 hPa. Its precise 0.3 SAGE data. As in the case of the 27-day cycle, ozone diurlocation depends on factors such as data resolution. In gennal start to becomewell important in thedata, upper stratoeral,variations the model agrees reasonably with HALOE 1.0reproduce sphere and mesosphere andstratospheric the observations a bibut doesn’t the upper results ofrepresent the SBUV 1979-2003 SAGE data. As in the case of the 27-day cycle,the ozone diur- results inased, day-time solar impact, whereas model 3.0 clude night time values. Generally, there are significant discrepancies with SBUV data, but the low vertical resolution 10.0 www.atmos-chem-phys.org/acp/0000/0001/ of those instruments may have contributed. There may be some sensitivity to the period analysed but in further investi30.0 gations it was found that the error bars in the measurements were larger 100.0 than any difference between solar cycles. Tourpali et al. (2007) show between SBUV data -2 -1 comparisons 0 1 2 3 and %/100 units F10.7 Umkehr data. The two datasetsO3 generally agree well and in most cases suggest that theO3 minimum tropical response solar in cycle %/100 unitsoc0.3 lower than in the satellite data, at approximately curs slightly 25 km (20 hPa), close to the minimum in the model solar re1.0 sponse. Tourpali et al. also show small horizontal movements SAGE 1985-2003 in the ozone features, as a function of season of the year, al3.0 though in view of the small statistical significance of these results we have not analysed the model results in this detail. 10.0 The temperature response to the solar cycle is shown in Fig. 10.30.0 The signal is very similar in all four seasons, and generally increases to the upper stratosphere. The signal also reflects100.0 the ozone signal with a local minimum in the signal -2 This is-1consistent 0 with other 1 3 near 20 hPa. work2 (for example O3showed %/100 units F10.7 Shibata and Kodera, 2005), which that the UV effect on temperature was dominant hPa, but the ozone O3 above solar 5cycle %/100 unitseffect was 0.3 dominant below 5 hPa. Model results obtained here agree well with Stratospheric SSU data (reanalysis of results 1.0 et al., 2000) throughout the observed range, but from Scaife 1992-2003 are generally HALOE smaller than observed. Analysis of observed 3.0 temperatures to try to extract the small solar signal is extremely challenging, and other observational analyses give a 10.0 different estimate for the solar signal (e.g. Labitzke et al., 4 5 4 5 4 5 Pressure hPa dence in the results, but the most striking feature is the local minimum the solarcycle response%/100 near 20 hPa. The demonO3insolar units 0.3 stration of a statistically significant minimum response does not appear in any other published model results to date (e.g. Shindell et al., 1999, Tourpali et al., 2003, Egorova et al., 2004). Rozanov et al. (2005b) simulated a slight minimum DJF in this region, but they did not comment on the fea1.0 response ture or provide any analysis to confirm whether it was realistic or MAM an aspect of random interannual variability. Pressure hPa Pressure hPa John Austin et al.: Solar cycle variations of ozone and temperature 30.0 www.atmos-chem-phys.net/7/1693/2007/ 100.0 -2 -1 0 1 2 O3 %/100 units F10.7 3 Pressure hPa Pressure hPa JohnetAustin et al.:cycle Solarvariations cycle variations of ozone and temperature J. Austin al.: Solar of ozone and temperature O3 solar cycle %/100 units 0.3 2002; Crooks and Gray, 2005). However, these analyses used data assimilation fields which are unreliable for low DJF frequency variability Randel, personal communication, 1.0 (W. 2006). The model simulations presented in Labitzke et al. MAM also gave a larger temperature solar signal than the results 3.0 presented here, by aboutJJA a factor of 2. However, none of the simulations show the tropical ozone minimum response SONthe temperature response from which would tend 10.0to reduce ozone in the lower to middle stratosphere. 30.0 5 Analysis and results for fixed solar phase www.atmos-chem-phys.net/7/1693/2007/ O3 solar cycle %/100 units 0.3 1.0 SBUV 1979-2003 3.0 10.0 30.0 100.0 -2 -1 0 1 2 O3 %/100 units F10.7 3 4 5 4 5 4 5 O3 solar cycle %/100 units 0.3 100.0 -2 that the Pressure hPa 1.0 SAGE 1985-2003 3.0 10.0 30.0 100.0 -2 -1 0 1 2 O3 %/100 units F10.7 3 O3 solar cycle %/100 units 0.3 1.0 Pressure hPa -1 response 0 2 of the 3 It is plausible tropical is 1an artifact O3 %/100 units F107 statistical analysis or that the ozone sensitivity may be a nonlinear function of the solar phase. Hence data from solar maxima and minima may give extreme or different results. To consider this, we repeat the previous model ozone analFig. 8.9) Simulated seasonal in % per ysis (Fig. using model datamean fromozone just solar thoseresponse years corre100 units of 10.7 cm flux. The results have been averaged over the sponding to solar maxima and minima (1964, 1970, 1976, latitude range 25◦ S to 25◦ N and over all three ensemble members. 1981, 1986, 1991, 1996, 2001). Considering all three ensemThe error bars indicate 95% confidence intervals from the linear ble members 12 years for solar maximum and 12 years regressiongives analysis. for solar minimum. Results for the domain 25◦ S to 25◦ N are shown in Fig. 11 for the annual average, together with the results using allstart solar phases. important The results areupper in agreenal variations to become in the stratoment sphere below and 20 hPa, and above 2 hPa but diverge from each mesosphere and the observations represent a bisolar impact,Despite whereaslarger the model results inother ased, in theday-time middle stratosphere. uncertainties clude night time values. Generally, there are significant disin examining a limited sample of the period, it would seem crepancies with SBUV data, but the vertical resolution that the lower stratospheric minimum is low a robust feature of thoseresults. instruments may have contributed. may be these of model Nonetheless, with the analysisThere presented sensitivity to the analysed furthertoinvestihere, some it would seem that theperiod differences in but the in middle upgations it was that the significant, error bars inbut theitmeasurements per stratosphere arefound statistically should be were that largerthe than any difference cycles. Tourcautioned analysis is basedbetween on justsolar 4 solar cycles. pali et al. (2007) show comparisons between SBUV data and Processes not included in the regression analysis, such as Umkehr data. The two datasets generally agree well and in transport and chemical changes that cannot be represented most cases suggest that the minimum in tropical response ocas simple trend terms, may have contributed to these differcurs slightly lower than in the satellite data, at approximately ences.25Tokmobtain a clearer the in solar (20 hPa), closesignal to the during minimum the cycle, model we solar examine results from fixed phase simulations (SL2000 and response. Tourpali et al. also show small horizontal moveSL2000B) completed other workers ments as in previously the ozone features, as aby function of season(e.g. of the Brasseur, 1993; Haigh, 1994; Shindell et al., 1999; Tourpali of year, although in view of the small statistical significance et al.,these 2003;results Egorova al.,not 2004). we et have analysed the model results in this Thedetail. ozone difference between solar maximum and solar meanThe fortemperature timeslice runs for the yearsolar 2000cycle (experiments response to the is shown in SL2000B and of Table 1)similar is shown in four Fig. seasons, 12. In theand Figure 10.SL2000 The signal is very in all increases the very upperdifferent stratosphere. Thefixed signalsoalso annualgenerally mean, the resultstoare for the reflects the ozone signal with localtransient minimum in the signal lar phase results as compared witha the simulations 20 hPa. ThisIn is consistent work (for example (Fig. near 12, red curve). particular,with the other middle stratospheric Shibata andlarger Kodera, 2005), which showed that the UV and effect peak is slightly than in the transient simulations, on temperature wasoccurs dominant above 5 hPa,Abut the ozone a minimum no longer near 20 hPa. slight mini-efwasnear dominant hPa. Model results obtained mum fect occurs 50 hPabelow in the5 fixed phase results, but this here is agree well with Stratospheric SSU data (reanalysis of with results not statistically significant. These results are consistent from Scaife et al., 2000) throughout the observed range, but previous simulations of other models with fixed phase solar forcing (see e.g. Soukharev and Hood, 2006) regarding their www.atmos-chem-phys.org/acp/0000/0001/ inability to simulate the lower stratospheric minimum. Below about 50 hPa, the model values have a large uncertainty, 9 1701 HALOE 1992-2003 3.0 10.0 30.0 100.0 -2 -1 0 1 2 O3 %/100 units F10.7 3 Fig. in % % per per100 100units unitsofof Fig.9. 9.Annual Annualmean meanozone ozone solar solar response response in 10.7 cm flux in comparison with satellite measurements. Therere10.7 cm flux in comparison with satellite measurements. The ◦ to 25◦◦ N and sults have sults havebeen beenaveraged averagedover overthe thelatitude latitude range range 25 25◦ SS to 25 N and over allallthree bars indicate indicate95% 95%conconover threeensemble ensemblemembers. members. The The error error bars fidence analysis. Black Blacklines: lines: fidenceintervals intervalsfrom fromthe the linear linear regression regression analysis. model results as as indicated, indicated,from from modelresults; results;coloured coloured lines: lines: satellite satellite results Soukharev Soukharevand andHood Hood(2006). (2006). presumably due to model dynamical variability. Most seaare generally smaller than observed. Analysis of observed sons produced similar results, although during the Northern temperatures to try to extract the small solar signal is exsummer and autumn periods the results are more similar to tremely challenging, and other observational analyses give the annual mean transient results in producing a smaller peak a different estimate for the solar signal (e.g. Labitzke et response near 3 hPa.and Gray, 2005). However, these analyal., 2002, Crooks ses used data assimilation fields which are unreliable for low frequency variability (William Randel, pers. comm., 2006). 6 The solar cycle impact on tropical upwelling The model simulations presented in Labitzke et al. also gave a larger temperature solarofsignal than on thethe results presented To investigate the impact dynamics results, we exhere, by about a factor of 2. However, none of the sim- amine the solar cycle in tropical upwelling. The tropical mass upwelling is being increasingly recognised as an imAtmos. Chem. 0000, 0001–15,circula2007 portant proxy for the strength of Phys., the Brewer-Dobson tion, which has been simulated to increase over time in most Atmos. Chem. Phys., 7, 1693–1706, 2007 3.0 10 1702 Austinetetal.: al.: Solar variations of ozone and temperature J.John Austin Solarcycle cycle variations of ozone and temperature Temp. solar cycle K/100 units SSU 1.0 Annual 30.0 0.3 DJF 1.0 MAM Pressure hPa 10.0 Temp. solar cycle K/100 units 0.3 Pressure hPa Pressure hPa 1.0 3.0 JJA 10.0 SON 3.0 10.0 100.0 -0.4 -0.2 0.0 0.2 30.0 0.4 0.6 K/100 units F10.7 0.8 SSU Annual 1.0 30.0 100.0 100.0 -0.4 -0.2 0.0 0.2 0.4 0.6 K/100 units F10.7 0.8 1.0 -0.4 -0.2 0.0 0.2 0.4 0.6 K/100 units F10.7 0.8 1.0 sponse to the solar cycle in % per 100 units of 10.7 cm flux. The results Fig. 10. Seasonal (left panel) annual (right panel)95% temperature response to the solar cycle in % per 100 units of 10.7 cm flux. The results all three ensemble members. The and error barsand indicate Fig. 10. Seasonal (left panel) annual (right panel)confidence temperature response to the solar cycle in % per 100 units of 10.7 cm flux. The results ◦ S to 25◦◦ N and ◦ over all three ensemble members. The error bars indicate 95% confidence have been averaged over the latitude range 25 have been averaged over the latitude range 25 S to 25 N and over5all three ensemble members. The error bars indicate 95% confidence caife et al. (2000) were reprocessed by using the regression equation the linearanalysis. regression The analysis. SSUfrom data from Scaife et al. (2000) were were reprocessed by using the regression equation 5Eq. (5) and intervals from theintervals linear from regression SSUThe data Scaife et al. (2000) reprocessed by using the regression andto cover January 1980 to December 1997. cover January 1980 December 1997. O3 solar cycle %/100 units 0.3 5 Analysis and results for fixed solar phase O3 solar cycle %/100 units creased. As in 0.3the above works, the tropical upward mass flux is determined from the mass streamfunction by integrating between the 1.0 latitudes over which the flux is upwards, approximately 30◦ S to 30◦ N. 1.0 Pressure hPa ulations show the tropical ozone minimum response which would tend to reduce the temperature response from ozone in the lower to middle stratosphere. 3.0 Pressure hPa The response of the tropical upwelling to the solar cycle in It is plausible that the tropical response is an artifact of the the simulations statistical analysis or that the ozone sensitivity may be a non10.0is shown in Fig. 13. In both sets of simulalinear function of the solar phase. Hence data from solar tions, the theoretical uncertainties in the solar forcing terms 3.0 maxima and minima may give extreme or different results. are very large, 30.0precluding definitive statements. For examTo consider this, we repeat the previous model ozone analple, neither results differ significantly from zero while for ysis (Figure 9) using model data from just those years cor100.0 the seasonal variation, both results are similar below 3 hPa to solar maxima and minima (1964, 1970, 1976, -2 -1 0 1 2 3 10.0 responding 1981, 1986, 1991, 1996, 2001). Considering all three ensem- in showing a generally upwelling O3positive %/100 units F10.7 solar signal during ble members gives 12 years for solar maximum and 12 years Northern autumn and a negative upwelling solar signal durfor solar minimum. Results for the domain 25◦ S to 25◦ N summer (not shown). An measure of 11. Annual mean ozone solar response in % indirect per 100 units 30.0 are shown in Figure 11 for the annual average, together with ingFig.Northern of 10.7 cm flux. The black line indicates the results using model transport is the concentration of water vapour (e.g. Mote et the results using all solar phases. The results are in agreefrom all Again, solar phases, the red line the results obtained we show ment below 20 hPa, and above 2 hPa but diverge from each al.,data 1996). because ofindicates the large variability when only the calendar years of solar maximum and solar minimum 100.0 other in the middle stratosphere. Despite larger uncertainties only mean analysis. solar cycle in the two sets werethe usedannual in the regression The results are averaged overof simulain examining a limited sample of the period, it would seem ◦ ◦ ◦ ensemble ◦ N. In this the latitude range 25 S to 25 N and over all three memtions (Fig. 14), averaged between 30 S and 30 -2 that the-1 0 1 2 a robust3feature of lower stratospheric minimum is bers. The error bars indicate the 95% confidence intervals obtained the fixed phase runs indicate a slight increase in wathese model results. Nonetheless, with the analysis presented case, O3 %/100 units F10.7 from the regression analysis. here, it would seem that the differences in the middle to up- ter vapour concentrations and the transient runs indicate a stratosphere are statistically significant, but it should be decrease. Results in the mesosphere should be ignored as Fig. 11. Annualper mean ozone solar response in % per 100 units cautioned that the analysis is based on just 4 solar cycles. theences. model chemistry was not designed to be realistic there. of 10.7 cm flux. The black line indicates the results Fig. 11. Annual mean ozone in %using per model 100 Processes not solar includedresponse in the regression analysis, suchunits as To obtain a clearer signal during the solar cycle, we data from all solartransport phases, and the chemical red line indicates the results obtained Nonetheless, below 3 hPa, the sensitivities to the solar changes cannot be represented from about fixed phase simulations (SL2000 and of 10.7 cm flux. The black line indicates thethatresults using model examine results when only the calendar years of terms, solar maximum and solar minimum as simple trend may have contributed to these differ- cycle SL2000B) as previously completed bysignificant other workers (e.g.95% conare marginally statistically at the data from solar phases, the analysis. red line The indicates theaveraged results obtained wereall used in the regression results are over fidence level. ◦ S to 25 when only the calendar of◦ solar maximum solar memminimum the latitude rangeAtmos. 25years and0000, over 0001–15, all threeand ensemble Chem. N Phys., 2007 www.atmos-chem-phys.org/acp/0000/0001/ bers.in The error bars indicate the 95% The confidence intervals obtained over Interpretation of these results is complex. The change in were used the regression analysis. results are averaged from the regression the latitude range 25◦ Sanalysis. to 25◦ N and over all three ensemble mem-tropopause temperature (Fig. 10) results in a saturated vapor pressure increase of about 3% but at the hygropause, the bers. The error bars indicate the 95% confidence intervals obtained model results show little sensitivity to the solar cycle. Howfrom the regression analysis. ever, a reduction in water vapour due to the solar cycle ocmodels (Butchart and Scaife, 2001; Butchart et al., 2006). In the transient simulations presented here, the mass upwelling curs at slightly higher altitudes, implying increased upward motion, since the water vapour gradient is upwards. Below also increases and there is also a simple relationship with the 10 hPa, upward motion decreases ozone and above 10 hPa inverse age of air (Austin and Li, 2006). The consequences are that over time chemical constituents had a shorter stratoences. To obtain a clearer signal during the solar cycle, weupward motion increases ozone slightly, because of the dispheric timescale the large scale tropical ascent rate in- andrection of the ozone gradient. The photochemical timescale examine results fromand fixed phase simulations (SL2000 SL2000B) as previously completed by other workers (e.g. Atmos. Chem. Phys., 7, 1693–1706, 2007 www.atmos-chem-phys.org/acp/0000/0001/ www.atmos-chem-phys.net/7/1693/2007/ 0.3 O3 0.3 O3 solar cycle %/100 units solar cycle %/100 units O3 solar cycle %/100 units O3 0.3 solar cycle %/100 units 0.3 J. Austin et al.: Solar DJFcycle variations of ozone and temperature 1.0 JJA 10.0 10.0 SON 30.0 30.0 0.3 JJA 1.0 SON DJF MAM 3.0 JJA 10.0 3.0 10.0 SON 30.0 hPa 3.0 John Austin et al.: Solar cycle variations of ozone and temperature O3 solar cycle %/100 units O3 solar cycle %/100 units Pressure hPa Pressure 12 MAM MAM 30.0 100.0 100.0 -2 -2 -1 1703 1.0 1.0 Pressure hPa 3.0 DJF Pressure hPa Pressure hPa Pressure hPa 1.0 0.3 3.0 1.0 Transient 10.0 Transient 3.0 Annual Annual Transient 10.0 30.0 Annual 30.0 -1 0 100.0-2 10 -1 210 32 1 O3 %/100 units F10.7 O3 %/100 units F10.7 O3 %/100 units F10.7 2 100.0 3 -2 3 100.0 100.0 -2 -1 -2 0-10 10 2 2 1 3 32 1 O3 %/100 units F10.7 O3 %/100 F10.7 O3 %/100units units F10.7 3 -1 Fig. 12. Ozone solar response in % per 100 units of 10.7 cm flux for solar maximum – solar mean from the timeslice runs SL2000B and Fig. 12. Ozone solar response in % per 100 units of 10.7 for maximum - solar mean from the timeslice runs SL2000B and ◦ Scmtoflux ◦ Nsolar ◦ 25for SL2000. The results an results average over the10.7 latitude range 25 for different seasons (left panel) and the annual average 12.solar Ozone solar response in %are per 100 units oflatitude 10.7for cm flux maximum - solar mean from the timeslice runs and SL2000B an SL2000. an average over cm the range 25 S to 25◦solar N forthe the seasons (left panel) and for thefor annual average . 12. Fig. Ozone response in are % The per 100 units of flux solar maximum -different solar mean from the timeslice runs SL2000B ◦results ◦ (right panel). Also included in the right hand panel are the results for the transient experiments in the annual average. All the error bars (right panel). Also included in the right hand panel are the for the transient experiments in the annual average. All the error bars ◦ ◦ Theare results are an over average over therange latitude range 25 NSfor to 25 N for theseasons different(left seasons (left panel) and for the annual averag 2000.SL2000. The results an average the latitude 25 S to 25 the different panel) and for the annual average denote the 95% confidence intervals. denote the 95% confidence intervals. (right Also panel). Also included in the right hand are the for the experiments transient experiments in the annualAll average. Allbars the error ba ht panel). included in the right hand panel are panel the results forresults the transient in the annual average. the error Upwelling solar cycle %/100 units H2O solar cycle %/100 units 0.3 denote the 95% confidence intervals. 0.3 ote the 95% confidence intervals. Upwelling solar%/100 cycleunits %/100 units Upwelling solar cycle 30.0 3.0 10.0 30.0 TRANSA 0.3 SL2000/B TRANSA TRANSA 10.0 30.0 100.0 -4 ...B/C ...B/C SL2000/B SL2000/B -2 0 2 4 Upwelling change %/100 units F10.7 Fig. 13. Annual mean solar response in the tropical upwelling in % per 100 units of 10.7 cm flux in the transient simulations TRANSA, TRANSB and TRANSC (black) in comparison with the solar signal in simulations SL2000 and SL2000B (red). 100.0 100.0 -4 -2-4 perature 0-2 sensitivity 20 4 2 more than 4 the ozone between sovaried Upwelling change %/100 units F10.7 Upwelling change %/100 units F10.7 lar cycles, the temperature response for 1991 agreed surpris- H2O solar cycleunits %/100 units H2O solar cycle %/100 TRANSA 0.3 ...B/C Pressure hPa ...B/C 3.0 1.0 3.0 1.0 1.0 SL2000/B TRANSA TRANSA 10.0 Pressure hPa 10.0 Pressure hPa Pressure hPa 3.0 Pressure hPa 1.0 1.0 1.0 Pressure hPa 0.3 0.3 3.0 30.0 100.0 -4 10.0 ...B/C 3.0 ...B/C SL2000/B SL2000/B 0 2 4 10.0-2 H2O %/100 units F10.7 6 Fig. 14. As Figure 13, but for the water vapour concentration. 30.0 30.0 istry. 100.0 100.0 For the 11-year solar cycle in the lower and middle strato-4 -2-4 0-2 20 42 64 6 sphere, we show good agreement between model results and H2O %/100 units F10.7 H2O %/100 units F10.7 observations in the transient simulations, without including energetic electron precipitation effects. In particular, the ingly well with observations for 1991-1994 (Hood and Zhou, However, for other years for which measurements averaged results demonstrated a statistically sig14. As Fig. 13, but for the water vapour concentration. Fig. 13. Annual 1998). mean solar response in the tropical upwelling in % ex- Fig.tropically ist (Hood, 1986; Hood and Cantrell, 1988) the model results nificant minimum in ozone response near 20 hPa, which has . 13. Fig. Annual mean solar in the tropical in TRANSA, % Fig. 14. As Figure 13,Figure but for13, thebut water vapour concentration. 100 units ofresponse 10.7 cm flux in the transient simulations 13.per Annual mean solar in with theupwelling tropical upwelling in % Fig. 14. As the water agree onlyresponse qualitatively observations. This suggests the not previously been published (e.g.forShindell et al.,vapour 1999; concentration. TRANSC insimulations comparison with the signal 100 units ofTRANSB 10.7 flux in theflux TRANSA, need fortransient a(black) further of thesimulations 27-day solarsolar cycle in models Soukharev and Hood, 2006). Examination of the ozone valper 100 unitscm ofand 10.7 cm in theanalysis transient TRANSA, in simulations SL2000 and SL2000B (red). ANSB and TRANSC (black) with the signal and in thecomparison factors contributing to it. solar It is likely that the different ues just for the solar maxima and solar minima during the TRANSB and TRANSC (black) in comparison with the solar signal strengths of the Schwabe cycle may be a contributing factor 135 years of simulations (’fixed solar phase analysis’) reimulations SL2000 and SL2000B (red). in simulations SL2000 SL2000B dueand to the presence of(red). possible nonlinearities in the chemistry. sulted in a higher ozone response in the middle and up- istry. For the 11-year cycle in the lower andlower middle stratodecreases rapidly with altitude so that vertical For thesolar 11-year solar cycle in the and middle strato Atmos. Chem. Phys., 0000, 0001–15, 2007motion bewww.atmos-chem-phys.org/acp/0000/0001/ atureperature sensitivity varied more than the ozone between sosphere, we show good agreement between model results andresults an comes less effective. Consequently, the decrease in ozone with the dynamical viewpoint of Kodera and Kuroda (2002), sphere, we show good agreement between model sensitivity varied more than the ozone between sodue to the solar cycle (Fig. 9) and its absence in the fixed based on a simplified model. The implications on tempercycles, temperature responseresponse for 1991for agreed surprisobservations in the transient simulations, without including lar the cycles, the temperature 1991decrease agreed surprisobservations in the transient simulations, without includin ature electron of upwardprecipitation motion would effects. be to increase the adiabaticthe runs (Fig. for 12) 1991-1994 may be related to the ly well withphase observations (Hood and Zhou, in wa-energetic In particular, ingly well with seen observations for 1991-1994 (Hood and energetic precipitation effects. particular, th ter vapour in Fig. There are two problems with Zhou, thistropically cooling relative electron to the direct radiative effect. There In would averaged results demonstrated a statistically sig98). However, for other years for14.which measurements exaveraged results a statistically sig 1998).argument, However, other for which measurements (i)for there is noyears clear increase in tropical upwellingex- alsotropically be an indirect radiative effect demonstrated from the solar induced (Hood, 1986; Hood and Cantrell, 1988) the model results nificant minimum in ozone response near 20 hPa, which has itself 1986; (Fig. 13) and (ii) proposed 1988) dynamical – an ozone change.minimum These impacts on ozone and temperature are which ha ist (Hood, Hood andtheCantrell, the changes model results nificant in ozone response near 20 hPa, ee only qualitatively with observations. This suggests the not previously been published (e.g. Shindell et al., 1999; increased in upwelling forobservations. high solar flux This – is inconsistent with the model results shown in(e.g. Figs. 9Shindell and 10. et al., 199 agree only qualitatively with suggests the consistent not previously been published d for a further analysis of the 27-day solar cycle in models Soukharev and Hood, 2006). Examination of the ozone valneed for a further analysis of the 27-day solar cycle in models Soukharev and Hood, 2006). Examination of the ozone va the factors contributing to it. It is likely that the different ues just for the solar maxima and solar minima during the Chem. Phys., and 7, 1693–1706, 2007 during th and thewww.atmos-chem-phys.net/7/1693/2007/ factors contributing to it. It is likely that the different ues just for Atmos. the solar maxima solar minima ngths of the Schwabe cycle may be a contributing factor 135 years of simulations (’fixed solar phase analysis’) restrengths of the Schwabe cycle may be a contributing factor 135 years of simulations (’fixed solar phase analysis’) r to the presence of possible nonlinearities in the chemsulted in a higher ozone response in the middle and updue to the presence of possible nonlinearities in the chemsulted in a higher ozone response in the middle and up 1704 7 Conclusions A coupled chemistry climate model has been used to simulate the impacts of the 27-day solar rotation cycle and the 11-year Schwabe cycle on ozone and temperature. The 27-day results were analysed for a period of one calendar year at the maximum of each of the 11-year Schwabe cycles when the response was largest. The results were found to vary from one solar cycle to the next. Good agreement was found particularly in ozone between the model results and observations of Zhou et al. (1997) and Hood and Zhou (1998). Depending on the year chosen, the ozone results demonstrated the downward propagation of the 27-day oscillation phase in some cases but with little phase propagation in other years. The ozone sensitivity to the 27-day oscillation was also quantitatively well reproduced, peaking at about 0.4% per 1% change in 205 nm flux. In the model, the peak occurred at higher altitude and in the upper stratosphere the model diverged from the observations, but this may be an error in the observations, which are not strict diurnal averages. The temperature response to the 27-day cycle is small, typically less than 0.5 K, and is difficult to extract from both model and observations. Although as a percentage, the temperature sensitivity varied more than the ozone between solar cycles, the temperature response for 1991 agreed surprisingly well with observations for 1991–1994 (Hood and Zhou, 1998). However, for other years for which measurements exist (Hood, 1986; Hood and Cantrell, 1988) the model results agree only qualitatively with observations. This suggests the need for a further analysis of the 27-day solar cycle in models and the factors contributing to it. It is likely that the different strengths of the Schwabe cycle may be a contributing factor due to the presence of possible nonlinearities in the chemistry. For the 11-year solar cycle in the lower and middle stratosphere, we show good agreement between model results and observations in the transient simulations, without including energetic electron precipitation effects. In particular, the tropically averaged results demonstrated a statistically significant minimum in ozone response near 20 hPa, which has not previously been published (e.g. Shindell et al., 1999; Soukharev and Hood, 2006). Examination of the ozone values just for the solar maxima and solar minima during the 135 years of simulations (“fixed solar phase analysis”) resulted in a higher ozone response in the middle and upper stratosphere while the minimum in ozone response in the lower stratosphere was largely unaffected. In a final set of experiments, with fixed solar phase applied continuously during the runs, as well as fixed climatological SSTs, the ozone response was quite different to the results of the transient runs with the absence of the lower stratospheric minimum. These results are generally consistent with the transient simulations reported by Eyring et al. (2006) which have at the time of writing been analysed for a solar cycle signal (K. Matthes, R. Garcia, K. Shibata, E. Rozanov, personal Atmos. Chem. Phys., 7, 1693–1706, 2007 J. Austin et al.: Solar cycle variations of ozone and temperature communications, 2006). The temperature response to the 11-year solar cycle was determined in large part by the ozone. Comparison with measurements proved to give mixed results as it is hampered by the need to obtain instrument stability of better than a few tenths of a K over a decade or more. Nonetheless, the results agree reasonably well over the pressure range 1 to 30 hPa with the results obtained from one of the satellite datasets that has arguably been best scrutinised (see Nash and Brownscombe, 1983; Scaife et al., 2000). Although solar cycle effects are small, about an order of magnitude smaller than ozone changes over the last few decades due to chlorine change, accurate simulation of these processes provides confidence in the predictions of the models for the future. One of the significant changes introduced in AMTRAC which is not present in many previous simulations exploring the solar cycle, is the fact that the observed monthly varying Schwabe and temporally varying 27-day cycles are imposed, whereas previous simulations have been completed with a fixed solar phase (Labitzke et al., 2002; Tourpali et al. 2003; Williams et al., 2000 etc.). It has been suggested that interactions with the quasibiennial oscillation (QBO) may be responsible for the tropical minimum in the ozone solar cycle response. This has been attributed either to a simple interference of the QBO in the statistical analysis (Lee and Smith, 2003) or to a real solar cycle modulation of the QBO itself (e.g., McCormack, 2003). The results obtained here without a model QBO would suggest that this is not essential. Also, observational studies (Soukharev and Hood, 2006), indicate a broad minimum over a wide latitude range consistently occurring over several solar cycles, which is not easily explained by the QBO alone. Nevertheless, a pronounced local minimum ozone solar cycle response is often obtained at 10 hPa centered on the equator (see Figs. 6 and 7 of Soukharev and Hood). This pronounced minimum does suggest a partial role for the QBO in producing at least some of the observed ozone response minimum. This possibility should be investigated in the future using models that simulate a realistic QBO. It should also be recognised that the solar cycle is by no means sinusoidal in shape (Fig. 1). This may give rise to assymetries also in the dynamics, as well as additional processes with timescales shorter than the 11-year period. Examination of the tropical upwelling, which is a strong candidate for a dynamical response to the solar cycle, proved to be inconclusive in the simulations presented here due at least in part to the large uncertainties in determining the solar signal from a somewhat noisy field. However, simulated water vapour values contained a solar cycle indicative of enhanced upward motion during high solar fluxes. There is a possibility that this increase may have been driven by SSTs, since as noted by White et al. (2003), global SSTs have been phase locked to the solar cycle. Solar induced changes in tropical SSTs could affect the tropical tropopause temperwww.atmos-chem-phys.net/7/1693/2007/ J. Austin et al.: Solar cycle variations of ozone and temperature ature (T. Reichler, personal communication, 2006), as detected in observations on the 27-day time scale (Hood, 2003). Nonetheless, it is not clear that the model is simulating the correct magnitude or even sign of this effect, since theoretical and observational evidence favors relative downwelling in the tropics near solar maxima (Kodera and Kuroda, 2002; Hood and Soukharev, 2003). Further long simulations are therefore needed both with different models as well as longer and more simulations with the same model to extract more reliable statistics from chaotic fields. In summary, the improved agreement with observations in our simulations compared with previous work has arisen from the specification of all phases of the 11-year solar cycle as well as time varying SSTs. These two components were absent from control runs in which simulated ozone was consistent with previous simulations. A plausible argument has been presented as to why the SSTs could be playing a major role, an issue which could be examined by completing further simulations with a full solar cycle but climatological SSTs. Acknowledgements. J. Austin’s research was supported by the Visiting Scientist Program at the NOAA Geophysical Fluid Dynamics Laboratory, administered by the University Corporation for Atmospheric Research. We would like to thank D. Schwarzkopf, L. Horowitz and two anonymous reviewers for their useful comments on earlier drafts of the paper. Edited by: V. Fomichev References Anderson, J. L., Balaji, V., Broccoli, A. J., et al.: The new GFDL global atmosphere and land model AM2/LM2: Evaluation with prescribed SST simulations, J. Climate, 17, 4641–4673, 2004. Austin J.: A three-dimensional coupled chemistry-climate model simulation of past stratospheric trends, J. Atmos. Sci., 59, 218– 232, 2002. Austin, J. and Li, F.: On the relationship between the strength of the Brewer-Dobson circulation and the age of stratospheric air, Geophys. Res. Lett., 33, L17807, doi:10.1029/2006GL026867, 2006. Austin, J. and Wilson, R. 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