Quantifying CanESM5 and EAMv1 sensitivities to Mt. Pinatubo volcanic forcing for the CMIP6 historical experiment

Large volcanic eruptions reaching the stratosphere have caused marked perturbations to the global climate including cooling at the Earth’s surface, changes in largescale circulation and precipitation patterns and marked temporary reductions in global ocean heat content. Many studies have investigated these effects using climate models; however, uncertainties remain in the modelled response to these eruptions. This is due in part to the diversity of forcing datasets that are used to prescribe the distribution of stratospheric aerosols resulting from these volcanic eruptions, as well as uncertainties in optical property derivations from these datasets. To improve this situation for the sixth phase of the Coupled Model Intercomparison Project (CMIP6), a two-step process was undertaken. First, a combined stratospheric aerosol dataset, the Global Space-based Stratospheric Aerosol Climatology (GloSSAC; 1979–2016), was constructed. Next, GloSSAC, along with information from ice cores and Sun photometers, was used to generate aerosol distributions, characteristics and optical properties to construct a more consistent stratospheric aerosol forcing dataset for models participating in CMIP6. This “version 3” of the stratospheric aerosol forcing has been endorsed for use in all contributing CMIP6 simulations. Recent updates to the underlying GloSSAC from version 1 to version 1.1 affected the 1991–1994 period and necessitated an update to the stratospheric aerosol forcing from version 3 to version 4. As version 3 remains the official CMIP6 input, quantification of the impact on radiative forcing and climate is both relevant and timely for interpreting results from experiments such as the CMIP6 historical simulations. This study uses two models, the Canadian Earth System Model version 5 (CanESM5) and the Energy Exascale Earth System Model (E3SM) Atmosphere Model version 1 (EAMv1), to estimate the difference in instantaneous radiative forcing in simulated post-Pinatubo climate response when using version 4 instead of version 3. Differences in temperature, precipitation and radiative forcings are generally found to be small compared to internal variability. An exception to this is differences in monthly temperature anomalies near 24 km altitude in the tropics, which can be as large as 3 C following the eruption of Mt. Pinatubo.

Abstract. Large volcanic eruptions reaching the stratosphere have caused marked perturbations to the global climate including cooling at the Earth's surface, changes in largescale circulation and precipitation patterns and marked temporary reductions in global ocean heat content. Many studies have investigated these effects using climate models; however, uncertainties remain in the modelled response to these eruptions. This is due in part to the diversity of forcing datasets that are used to prescribe the distribution of stratospheric aerosols resulting from these volcanic eruptions, as well as uncertainties in optical property derivations from these datasets. To improve this situation for the sixth phase of the Coupled Model Intercomparison Project (CMIP6), a two-step process was undertaken. First, a combined stratospheric aerosol dataset, the Global Space-based Stratospheric Aerosol Climatology (GloSSAC;1979-2016, was constructed. Next, GloSSAC, along with information from ice cores and Sun photometers, was used to generate aerosol distributions, characteristics and optical properties to construct a more consistent stratospheric aerosol forcing dataset for models participating in CMIP6. This "version 3" of the stratospheric aerosol forcing has been endorsed for use in all contributing CMIP6 simulations. Recent updates to the underlying GloSSAC from version 1 to version 1.1 affected the 1991-1994 period and necessitated an update to the stratospheric aerosol forcing from version 3 to version 4. As version 3 remains the official CMIP6 input, quantification of the impact on radiative forcing and climate is both relevant and timely for interpreting results from experiments such as the CMIP6 historical simulations. This study uses two models, the Canadian Earth System Model version 5 (CanESM5) and the Energy Exascale Earth System Model (E3SM) Atmosphere Model version 1 (EAMv1), to estimate the difference in instantaneous radiative forcing in simulated post-Pinatubo climate response when using version 4 instead of version 3. Differences in temperature, precipitation and radiative forcings are generally found to be small compared to internal variability. An exception to this is differences in monthly temperature anomalies near 24 km altitude in the tropics, which can be as large as 3 • C following the eruption of Mt. Pinatubo.

Introduction
The stratosphere holds a layer of aerosols consisting primarily of sulfuric acid and water that impact climate in a variety of ways (Kremser et al., 2016). Most importantly, this stratospheric aerosol layer scatters incoming light, leading to a surface cooling effect. Scattering in the atmosphere can be greatly enhanced by volcanic eruptions, which in turn strengthens this surface cooling. For example, the 1991 eruption of Mt. Pinatubo injected an estimated 5-10 Tg of sulfur into the stratosphere (Guo et al., 2004;English et al., 2013;Dhomse et al., 2014;Timmreck et al., 2018), resulting in a peak top-of-atmosphere radiative forcing of roughly 3-4 W m −2 (Ramachandran et al., 2000;Hansen et al., 1992) and cooled global temperatures by a few tenths of a degree Celsius (Robock and Mao, 1995;Thompson and Solomon, 2009). There was also a significant impact on oceans, with global ocean heat content decreasing by 3 × 10 22 J and sea level decreasing by 5 mm (Church et al., 2005). Over the last two decades, a number of smaller volcanic eruptions have also injected sulfur dioxide into the stratosphere . These eruptions have had a small but discernible effect on global temperature (Solomon et al., 2011;Fyfe et al., 2013;Santer et al., 2014;Schmidt et al., 2018;Stocker et al., 2019).
Issues remain in characterizing the radiative forcing caused by changes in stratospheric aerosols and the climate responses that result. General circulation models, for example, often overestimate the stratospheric warming response following the eruption of Mt. Pinatubo (Lanzante and Free, 2008;Gettelman et al., 2010). The impact of smaller, post-Pinatubo volcanic eruptions on surface cooling needs better quantification (Santer et al., 2014), and large uncertainties remain in characterizing the response of the upper troposphere and lower stratosphere to volcanic eruptions (Ridley et al., 2014;Andersson et al., 2015). Such uncertainties in the climate response to volcanic eruptions result in part from differences in the stratospheric aerosol datasets that are prescribed in general circulation models (GCMs). GCMs participating in the fifth phase of the Coupled Model Intercomparison Project (CMIP5) (Taylor et al., 2012;Driscoll et al., 2012) used stratospheric aerosol datasets from Ammann et al. (2003) and Sato et al. (1993), while post-CMIP5 simulations (Solomon et al., 2011;Fyfe et al., 2013) have used datasets that include recent eruptions . To avoid a diversity of stratospheric aerosol datasets, and their associated forcings, a homogenized stratospheric aerosol time series was developed for use with CMIP6 (Durack et al., 2018). This stratospheric aerosol dataset will help reduce uncertainties that have resulted from differing stratospheric aerosol assumptions (e.g. in CMIP5). While modelling centres were performing simulations for CMIP6, an update was made to this dataset that affected the stratospheric aerosol loading of the Pinatubo eruption. Although the updates are not CMIP6 endorsed, and forcing should remain consistent across models, the changes to aerosol loading can be substantial. To estimate the potential effect of these changes on CMIP6 results, we characterize the impact of this dataset update on the global climate using two general circulation models.

The CMIP6 stratospheric aerosol dataset
For CMIP6 experiments, the stratospheric aerosol forcing dataset post-1980 was constructed in a two-step process. First, data from multiple satellite instruments were compiled into a continuous extinction record at 525 nm that spans the entire period. Extinction measurements at other visible and near-infrared wavelengths are available for portions of the record but do not span its entirety. This composes the Global Satellite-based Stratospheric Aerosol Climatology (GloS-SAC; Thomason et al., 2018). The second step is deriving the asymmetry factor, single scattering albedo and extinction at the wavelengths required for radiative transfer calculations in climate models (Luo, 2018a). This was done by deriving a particle size distribution from the measurement periods where multiple wavelengths are available  and extrapolating to periods where they are not (pre-1985 and post-2005). This composes the IACETH-SAGE3lambda-3-0-0 dataset available from input4MIPs. Luo (2018a) then used the particle size distributions to compute the optical parameters at the wavelength bands of participating models. In this way, the optical properties required for each participating model's radiative transfer scheme are consistent with the underlying extinction and particle size climatology. As of 31 May 2016, these were available from ftp://iacftp.ethz.ch/ pub_read/luo/CMIP6 (last access: 29 September 2020) and represented version 3 stratospheric aerosol datasets used for CMIP6, herein referred to as version 3, or "v3" for brevity.
After publication of these datasets, an error was found in the GloSSAC processing involving the cloud clearing in the Cryogenic Limb Array Etalon Spectrometer (CLAES) data, necessitating an update in GloSSAC from version 1 to version 1.1 and a subsequent update in the CMIP6 forcing dataset from version 3 to version 4 (Luo, 2018b). The update was published 27 August 2018 and is available from ftp://iacftp.ethz.ch/pub_read/luo/CMIP6_ SAD_radForcing_v4.0.0 (last access: 29 September 2020). As it is not yet officially CMIP endorsed, it is not currently available from input4MIPs. Changes to the data processing primarily affected only a subset of the satellite measurements which contributed to the January 1991-December 1994 period, so data outside of this range remain the same between version 3 and version 4.
Of most direct consequence to GCM experiments is the stratospheric aerosol optical depth (SAOD), calculated as the vertical integral of aerosol extinction from the tropopause to the top of the atmosphere, or in this case to the top of the dataset at 40 km. Luo (2018b) show the magnitude of these changes at several latitude bins and times for 1020 nm, and the following analysis expands on this at 550 nm in the context of this paper. Figure 1a shows the monthly SAOD at 550 nm from the version 3 dataset. The impact of the Mt. Pinatubo eruption on SAOD is largest in the tropics, but a substantial amount of aerosol is transported to the extratropics in both hemispheres in ensuing months, and global SAOD values remain elevated over background for several years. Figure 1b minimum shows the SAOD differences between version 3 and version 4. The peak Pinatubo-induced SAOD values are smaller in version 4, but v4 exhibits modest increases at other locations, reducing globally averaged differences and potentially offsetting climate differences between versions. Fractional differences show a very similar pattern with differences in the thickest part of the plume reaching 20 %, and differences nearer the poles reaching 50 % for short periods of time. However, when looking at SAOD alone, decreases in extinction at higher altitudes can be offset by increases nearer the tropopause, reducing the apparent differences. This can be seen in Fig. 2, which shows the difference in extinction at 550 nm as a function of altitude and time for the global average and three latitude bands that showed large changes in SAOD. The most prominent differences between v3 and v4 are evident in the tropics, where the main aerosol plume has been reduced in optical thickness by up to 50 %. Conversely, altitudes below the main plume have increased extinction. While the increase extends to the ground, most of these altitudes are below the tropopause and so are not considered in climate simulations (CMIP6 simulations are recommended to use stratospheric aerosols only above the tropopause; Thomason et al., 2018). The solid gray lines in Fig. 2 indicate the monthly averaged thermal tropopause from NCEP1 reanalysis data (Kalnay et al., 1996).
It is worth highlighting here that since the creation of the version 4 stratospheric aerosol dataset updates to the underlying GloSSAC dataset have continued, with version 2 now available (Kovilakam et al., 2020). Figure S1 in the Supplement shows the changes in stratospheric aerosol optical depth between GloSSAC versions 1, 1.1 and 2. While these recent updates to GloSSAC have not been incorporated into the CMIP6 stratospheric aerosol forcing dataset, the magnitudes of the differences between GloSSAC version 1 and version 2 are at least as large (although very different in distribution) as those between version 1 and version 1.1 of GloSSAC (Aubry et al., 2020). This makes it likely that future updates to stratospheric aerosol forcing will result in climate effects of comparable magnitude to those seen in this study.

Experimental setup
This paper looks at three types of impacts caused by changes to the stratospheric aerosol forcing from the immediate radiative and heating differences, to short term temperature effects, to longer-term changes represented by ocean heat content. Table 1 shows the three experiments, the models used for each, and whether they were run in atmosphereocean coupled mode (Earth system model; ESM) or uncoupled with prescribed ocean temperatures (Atmospheric Model Intercomparison Project; AMIP). The analysis uses two models: the Canadian Earth System Model version 5 (CanESM5), which has a relatively coarse horizontal resolution that enables simulation of large ensembles in a fully coupled ocean-atmosphere mode; and the Energy Exascale Earth System Model (E3SM) Atmosphere Model version 1 (EAMv1), which is used to verify effects in higher-resolution models, albeit with a smaller ensemble.
Simulations for examining impacts on instantaneous radiative forcing and heating rates were performed with CanESM5 in atmosphere-only mode using sea surface temperature and sea ice prescribed by observations for the period 1990-1999 following the AMIP protocol (Gates et al., 1999). For this analysis, one simulation spanning from 1989 to 2014 was performed with the version 3 forcing data and a second with version 4. Since only differences in instantaneous quantities are explored in this analysis, a larger ensemble was not performed.
To explore the climate response to volcanic forcing, transient historical experiments were performed with CanESM5 following the methodologies set forth for CMIP6 (Eyring et al., 2016) using the version 3 aerosol climatology and all standard forcings. Simulations using version 4 of the stratospheric aerosol data were performed with the same protocol by branching new simulations off of CanESM5 historical simulations at the end of 1989. This was done for 15 realizations, with simulations using version 4 data run until 2014. In addition, three realizations were performed using the EAMv1 model. As with the CanESM5 simulations, we consider both version 3 and version 4 of the volcanic aerosol dataset, performing three simulations with each version, using the CMIP6 protocols for the period 1990-1999. The reason for not using the coupled E3SM, and the reduction in ensemble size, is the considerably higher computational cost of E3SM and EAMv1 compared to CanESM5. Additionally, as explained later, using coupled and uncoupled CanESM5 simulations yields very similar results for our analysis, indicating the use of a fully coupled model is not necessary.

CanESM5
We provide here a brief description of CanESM5, but a more thorough overview of the components and properties of CanESM5 is given in Swart et al. (2019). The atmospheric component of CanESM5, the Canadian Atmospheric Model

EAMv1
In addition to CanESM5, we also consider simulations from version 1.0 of the Energy Exascale Earth System Model (E3SM) (Golaz et al., 2019). In particular, we employ the E3SM Atmosphere Model version 1 (EAMv1) (Rasch et al., 2019) using prescribed sea surface temperature (SST) and sea ice concentrations as boundary conditions. SST and sea ice fields are from the Hadley Centre Sea Ice and Sea Surface Temperature dataset (HadISST) version 1.1.3 (Durack and Taylor, 2017) as described in Hurrell et al. (2008). The model solves the atmospheric primitive equations using a continuous Galerkin spectral finite element method and has a horizontal resolution of approximately 100 km (or 1 • ) at the Equator. EAMv1 has 72 unevenly spaced vertical levels with a model top at ∼ 0.1 hPa and vertical resolution of approximately 1-2 km in the lower stratosphere. EAMv1 employs a linearized ozone chemistry scheme (Hsu and Prather, 2009). In the realizations used here, EAMv1 produces a QBO that tends to be too frequent compared to observation but does sample a variety of states during the eruption period. While the frequency and strength of the QBO can be greatly improved by modifying parameterized convectively generated gravity waves , the improvement is not included in the current simulations.

Radiative forcing
Volcanic aerosols absorb near-infrared and thermal radiation, heating the stratosphere, while simultaneously cooling the troposphere due to scattering of visible and near-infrared radiation. The magnitude of this effect has been investigated in numerous studies, with marked decrease in radiation at the surface (Dutton and Christy, 1992) and tropopause (Hansen et al., 1992), and increases in reflected radiation at the top of the atmosphere (Minnis et al., 1993;Stenchikov et al., 1998;Ramachandran et al., 2000). For this work, radiative forcing is computed as the instantaneous net incoming flux at the top of the atmosphere for solar wavelengths (less than 4 µm) and thermal wavelengths (greater than 4 µm). Net total radiative forcing is calculated as the sum of the solar and thermal components. For the CanESM5 AMIP used here, an additional, diagnostic, atmospheric radiative transfer calculation is performed in which the stratospheric aerosol is zeroed out. The difference between the two computations gives the instantaneous radiative forcing due to the presence of the stratospheric aerosols. Figure 3 shows the solar, thermal and net stratospheric aerosol radiative forcings from the version 3 and version 4 aerosol datasets for the global average and three latitude bands. The thermal forcing from the Pinatubo eruption peaks at approximately 2.5 W m −2 in the tropics and 1.5 W m −2 globally. Solar forcing is larger, peaking at nearly −6 and −3.7 W m −2 for the tropics and global averages, respectively. Polar regions can also have large solar forcing during the summer months, but the smaller geographic area and seasonal cycle due to reduced solar insolation in the winter lead to only a small impact globally. Differences in radiative forcing between versions 3 and 4, shown as the shaded gray region, are much smaller, with net forcing differences Figure 4. Instantaneous heating rates from CanESM5 model runs. The first column shows the instantaneous solar heating rate due to stratospheric aerosols using the version 3 forcing dataset. The second column shows the change in the instantaneous solar heating rate when version 4 is used instead. The third and fourth columns show the same, except for the instantaneous thermal heating rates. The gray lines denote the tropopause, and dashed lines indicate the date of the Pinatubo eruption. Note that the v3 instantaneous heating rates in the tropics have been multiplied by one-third for visual representation.
peaking at 0.44 W m −2 in the tropics and 0.11 W m −2 globally. While maximum forcing differences in the SH polar regions are larger than those in the tropics (up to 1 W m −2 ), the relatively small area contributes little to the global averages.
The absorption of both solar and thermal radiation heats the stratosphere in regions of enhanced aerosol loading (Kinne et al., 1992;Kinnison et al., 1994;Stenchikov et al., 1998;Andersen et al., 2001). Figure 4 shows the vertical distribution of instantaneous heating rates due to stratospheric aerosols computed using version 3 of the aerosol dataset. The largest heating rate of 0.5 • C d −1 in the tropics near 24 km is seen approximately 6 months after the eruption and contributes to a globally averaged instantaneous heating rate of 0.2 • C d −1 , with increases over background that last until early 1994. The differences in instantaneous heating rates from version 3 to version 4 are also shown in Fig. 4. At times, heating rates have been reduced in version 4 by almost half where extinction is largest, with slight increases in heating rates closer to the tropopause. This result is consistent with the differences between the aerosol datasets (Fig. 2).

Climate response
The radiative heating rates induced by volcanic eruptions translate to substantial warming in tropical stratospheric temperature anomalies in CMIP5 models, ranging from 2 • C to nearly 10 • C in the tropical stratosphere (Douglass and Knox, 2005;Driscoll et al., 2012;Arfeuille et al., 2013).
The ensemble mean CanESM5 stratospheric temperature anomalies following the Pinatubo eruption are shown in the left column of Fig. 5. Temperature anomalies up to 7 • C are seen in the tropics near 24 km, where the extinction and solar heating rates are largest. The stratosphere also exhibits a long-term stratospheric cooling, but linearly detrending the record still results in a maximum temperature anomaly of 6 • C and does not change differences seen between version 3 and version 4. The structure of the global averaged temperature anomaly largely follows the evolution of the tropical temperatures but peaks at approximately 3 • C, which results because temperature anomalies outside of the tropics are considerably smaller. When using version 4 of the stratospheric aerosol data, the peak temperature anomalies in the tropics are reduced by just over 2 • C, and peak global anomalies are reduced by 0.8 • C. The stratospheric temperature response in the polar regions can differ by 2-4 • C, depending on the version of the SAOD used, but these differences are considerably smaller than the between-realization variability, which has a standard deviation of 6 • C in these regions. Increases in stratospheric temperature as modelled by EAMv1 are similar in magnitude (see Fig. S2). However, with only three ensemble members, temperature differences compared to version 4 are not statistically significant at the 95 % level. Figure 6 shows the same data as a function of latitude and time. Figure 6a indicates the maximum difference in temperature anomalies at any altitude, with Fig. 6b indicating the altitude at which the difference occurs. No temperature differences outside of approximately 30 • S to 30 • N are evident, nor are changes in the temperature gradient (not shown).
For observational comparisons, data from the Remote Sensing Systems (RSS) microwave temperature record (Mears and Wentz, 2009a, b) are used. The RSS datasets are composed of measurements from the microwave sounding units and advanced microwave sounding units which provide temperature information for several deep atmospheric layers. For this study, the temperature of the lower stratosphere (TLS) and temperature of the lower troposphere (TLT) products are used. TLS is a weighted average from approximately 10 to 30 km, with a peak sensitivity at 17.4 km and 75 % of the contribution coming from between 14 and 22 km. TLT data are from below 10 km with over 75 % of the signal from below 5.5 km including a 10 %-15 % contribution from the  surface (Mears and Wentz, 2017). Comparable temperature records from CanESM5 and EAMv1 are computed by applying RSS weighting functions to model temperatures. Since TLT includes a significant contribution from the surface, the weighting function depends on the surface type (land or ocean) to account for surface emissivity differences. Figure 7 shows TLS and TLT anomalies simulated by CanESM5 and EAMv1 using version 3 and version 4 of the dataset in blue and orange, respectively, as well as the RSS measurements in black. TLS anomalies are smaller in version 4 by up to 0.5 • C in the tropics and 0.25 • C globally, but modelled TLS values still remain approximately 1 • C above measured values when globally averaged. This modelobservational difference in stratospheric temperature has also been noted in other GCMs (Lanzante and Free, 2008;Gettelman et al., 2010). EAMv1 stratospheric temperatures in the tropics show increased variability when compared to CanESM5 due to the quasi-biennial oscillation, which is not present in CanESM5. Tropospheric temperature differences arising from changes to the aerosol dataset are smaller than in the stratosphere for both models. EAMv1 results exhibit much smaller variability between ensemble members in the lower troposphere due to specified sea surface temperatures and do not show a significant difference between versions 3 and 4. CanESM5 differences in TLT of approximately 0.2 • C in the tropics and 0.1 • C globally are present in 1993 but result primarily from a change in the phase of the El Niño-Southern Oscillation (ENSO) between version 3 and version 4 runs.
While large eruptions may increase the likelihood and magnitude of El Niño events (Adams et al., 2003;Mann et al., 2005;Emile-Geay et al., 2008;Khodri et al., 2017), the response is heavily model dependent (Predybaylo et al., 2017). Due to non-zero changes in the volcanic forcing be- fore the eruption, the version 3 and version 4 ensembles are not in identical internal states on 16 June when Pinatubo erupts, with the version 4 ensemble tending slightly to more La Niña-like states. This can have a marked effect on the climate response (Lehner et al., 2016;Pausata et al., 2016;Zanchettin et al., 2019). However, there is no apparent difference in ENSO states in the 2 years following the eruption when initial conditions are taken into account. Similar investigation of the North Atlantic Oscillation (NAO) shows no significant impact on the phase or magnitude. Additionally, changes to the aerosol forcing do not have a significant impact on ocean heat content, as shown in Fig. 8. As such, changes to atmospheric temperatures in CanESM5 AMIP runs (not shown) show comparable changes to coupled runs, and therefore the AMIP runs from the EAMv1 model are expected to be a good representation of results from the coupled model.
In addition to temperature responses, several studies have noted a decrease in global precipitation following the Pinatubo eruption (Robock and Liu, 1994;Broccoli et al., 2003;Gillett et al., 2004;Barnes et al., 2016). The CanESM5 ensemble mean shows a global precipitation decrease of 0.05 mm d −1 1 year after the eruption, consistent with previous studies. However, this is similar for both the version 3 and version 4 datasets, and differences in precipitation due to the change in stratospheric aerosols are not statistically significant. These results are summarized in Fig. 9 that shows the changes in climate response when using version 3 and version 4 aerosols averaged for 2 years following the Pinatubo eruption. For CanESM5, with results shown as the box-and-whisker plots, the largest differences in temperatures between aerosol datasets occur near 24 km and are statistically significant from zero at the 95 % confidence level, as are the changes in the TLS. Changes in lower tropo- spheric temperatures are not statistically significant between versions, nor are changes in precipitation. EAMv1 results are shown as individual points and indicate similar responses to those seen in CanESM5.

Conclusions
Since the publication of the version 3 stratospheric aerosol dataset recommended for CMIP6, updates included in version 4 have resulted in extinction differences as large 50 % in the aerosol plume of the Pinatubo eruption. When these datasets are used in CanESM5, it is found that using version 4 instead of version 3 caused reductions in the instantaneous top-of-atmosphere radiative fluxes up to 0.44 W m −2 in the tropics approximately 6 months following the eruption and maximum differences in instantaneous radiative heating rates of 0.2 • C d −1 in the tropics. The substantial change in stratospheric heating rates at specific altitudes following the eruption results in significant temperature response differences of up to 3 • C. Over deeper layers and larger spatial scales, the impact is less pronounced, with only the TLS showing statistical significance. As a result, the impact on global precipitation rates is also small. Temperatures in the lower stratosphere, between approximately 14 and 22 km, are decreased by 0.2 • C with no statistically significant change in the lower troposphere. Similarly, precipitation rates and changes to the ENSO index are not substantial enough to be distinguished from unforced internal model variability. Based on results from two models participating in CMIP6, we find that the impact of the update from version 3 to version 4 of the stratospheric aerosol dataset is relatively small for the considered fields of radiative forcing, temperature and precipitation. This indicates that while there is a known forcing issue in the v3 stratospheric aerosol dataset, this does not undermine the utility of the CMIP6 historical ensemble to quantify the anthropogenic-forced impact on the climate. Use of the new SAOD dataset may, however, affect quantities not considered in this study, and its impact may be model dependent, so modelling groups interested in the post-Pinatubo response may want to assess the impact of the new SAOD dataset in their models.
Author contributions. LAR, JNSC, JCF and NPG contributed to the manuscript writing, preparation and design of the CanESM5 experiments. SPC contributed to the manuscript writing, preparation and design of the E3SM experiments. PJD, PJCS and QT contributed to the design of E3SM experiments and reviewed the manuscript.
Competing interests. The authors declare that they have no conflict of interest.