An energetic perspective on hydrological cycle changes in the Geoengineering Model Intercomparison Project
Atmospheric Sciences and Global Change Division, Pacific Northwest National Laboratory, Richland, Washington, USA
Corresponding author: B. Kravitz, Atmospheric Sciences and Global Change Division, Pacific Northwest National Laboratory, 902 Battelle Boulevard, PO Box 999, MSIN K9-24, Richland, WA 99352, USA. (firstname.lastname@example.org)
 Analysis of surface and atmospheric energy budget responses to CO2 and solar forcings can be used to reveal mechanisms of change in the hydrological cycle. We apply this energetic perspective to output from 11 fully coupled atmosphere-ocean general circulation models simulating experiment G1 of the Geoengineering Model Intercomparison Project (GeoMIP), which achieves top-of-atmosphere energy balance between an abrupt quadrupling of CO2 from preindustrial levels (abrupt4xCO2) and uniform solar irradiance reduction. We divide the climate system response into a rapid adjustment, in which climate response is due to adjustment of the atmosphere and land surface on short time scales, and a feedback response, in which the climate response is predominantly due to feedback related to global mean temperature changes. Global mean temperature change is small in G1, so the feedback response is also small. G1 shows a smaller magnitude of land sensible heat flux rapid adjustment than in abrupt4xCO2 and a larger magnitude of latent heat flux adjustment, indicating a greater reduction of evaporation and less land temperature increase than abrupt4xCO2. The sum of surface flux changes in G1 is small, indicating little ocean heat uptake. Using an energetic perspective to assess precipitation changes, abrupt4xCO2 shows decreased mean evaporative moisture flux and increased moisture convergence, particularly over land. However, most changes in precipitation in G1 are in mean evaporative flux, suggesting that changes in mean circulation are small.
 Solar geoengineering, also known as Solar Radiation Management, has been proposed as a means of reducing some of the climate effects of increased concentrations of carbon dioxide by reducing the amount of incident insolation [e.g., Crutzen, 2006; Shepherd et al., 2009]. However, the compensation of greenhouse gas forcing by solar geoengineering, especially on a local scale, is imperfect [e.g., Robock et al., 2008; Ricke et al., 2010; Moreno-Cruz et al., 2012]. Should society develop the will to deploy geoengineering, understanding of the expected climate effects will likely play a key role in the discussion of how deployment might be performed and governed.
 One of the key areas of concern regarding the climate effects of geoengineering is the potential effects on the hydrological cycle. Trenberth and Dai  and Robock et al.  provided strong observational and model-based evidence that a reduction of the intensity of the hydrological cycle is a plausible side effect from geoengineering with stratospheric sulfate aerosols. Furthermore, Haywood et al.  showed that stratospheric sulfate aerosol geoengineering in only one hemisphere can shift the location of the Intertropical Convergence Zone, altering tropical precipitation patterns, including Sahelian precipitation. To determine robust climate model responses to geoengineering, the Geoengineering Model Intercomparison Project (GeoMIP) was initiated [Kravitz et al., 2011]. Under this framework, several intercomparisons of simulated effects on precipitation have been performed [Schmidt et al., 2012; Jones et al., 2013; Kravitz et al., 2013; Tilmes et al., 2013]. Insolation reduction reduces both global precipitation (P) and evaporation (E); model results indicate few net changes in P−E in many regions [Schmidt et al., 2012; Kravitz et al., 2013]. Changes in monthly precipitation extremes experienced under climate change [e.g., Held and Soden, 2006] are suppressed in simulations using insolation reduction to compensate for CO2 radiative forcing, especially over monsoonal reasons [Tilmes et al., 2013].
 Traditional temperature and moisture perspectives are useful for determining hydrological cycle changes in specific simulations. The underlying mechanisms describing the changes can be revealed through an analysis of the surface and atmospheric energy budgets. The energetic perspective has been shown to reveal key features of climate model response to both CO2 increases and solar irradiance changes [e.g., Andrews et al., 2009; Bala et al., 2010; Cao et al., 2012]. This perspective has also been preliminarily applied to geoengineering, particularly balancing the radiative forcing from a CO2 increase with a reduction in solar irradiance. Using an atmospheric model coupled to a slab ocean model, Bala et al.  showed how the changes in globally averaged equilibrium surface radiative fluxes due to geoengineering are primarily balanced by changes in latent heat flux, resulting in a decrease in global mean evaporation.
 Here we extend and expand upon the analyses of Schmidt et al.  to 11 models participating in GeoMIP (see Kravitz et al. [2013, Table 1] for model details and Table S1 of this paper to determine which models are incorporated in the analysis presented here). We follow the analysis methods of Bala et al. , but use of fully coupled atmosphere-ocean general circulation models instead of slab ocean models allows us to assess the response of the surface and atmospheric energy budgets over different time scales (see section 3 below). We also assess contrasts between radiative responses over land and ocean, yielding important clues about the land/sea contrast of hydrological cycle changes and an assessment of the potential for ocean heat uptake. Furthermore, we use these calculations of surface and atmospheric energy fluxes to apply for the first time the energetic perspective of Muller and O'Gorman  (see section 5) to geoengineering simulations. This formulation aids in attributing precipitation changes on both a global and local scale to changes in mean evaporative moisture flux and changes in the mean circulation. By using a large multimodel ensemble to assess these changes, we can determine the robustness of our findings.
 In section 2, we discuss the experimental design and our methods of analysis. In section 3, we discuss differentiation of time scales, particularly a separation into a rapid adjustment term and a feedback response term. In section 4, we characterize changes in the surface and atmospheric energy budgets, assessing both instantaneous and time-varying responses. In section 5, we use this understanding of changes in the surface and atmospheric energy budgets to interpret changes in precipitation flux. Section 6 contains a discussion of our results, conclusions from our study, and provides a greater context for our findings.
2 Experiment Design and Analysis
 The analyses presented here are based on the same experiments discussed by Kravitz et al.  and Tilmes et al. . The control simulation, denoted piControl, is a simulation of steady state preindustrial conditions. abrupt4xCO2 is the standard Coupled Model Intercomparison Project Phase 5 (CMIP5) simulation in which CO2 concentrations are instantaneously quadrupled from preindustrial levels to ~1140 ppm [Taylor et al., 2012]. G1 is the GeoMIP experiment in which a solar irradiance reduction is imposed upon a background abrupt4xCO2 scenario such that top-of-atmosphere (TOA) radiative flux is negligible (< 0.1 W m−2) [Kravitz et al., 2011].
 In this paper, all radiative and turbulent fluxes are reported as positive in the downward direction. All changes are relative to an average of all years of piControl for each model. When reported in the body of the text, values are given as “mean (min to max)” where “mean” denotes the all-model ensemble mean (calculated for each experiment as an average of all models weighted equally), “min” denotes the minimum value of that quantity among all models, and “max” denotes the maximum value of that quantity among all models. Model agreement is defined to be a region or grid box where at least 75% of the models (Table S1) agree on the sign of the change (difference from piControl) of that quantity. For quantities given as ratios, e.g., the Bowen ratio (described below), model agreement is defined to be a region where at least 75% of the models agree whether the ratio either increases or decreases. If models agree over a region, the climate response in that region is stated to be robust. Areas in map plots that are not robust are stippled to obscure those regions. Values corresponding to the all-model ensemble mean and model range are listed in Tables S3–S8, although the tables are not explicitly mentioned when characterizing model results; these tables complement the comparatively qualitative descriptions in sections below.
 Tables S7 and S8 show changes in radiative fluxes over different regions of the globe. The Arctic is defined as all grid boxes North of 66.55°N. The Antarctic is all grid boxes South of 66.55°S. The polar region is defined to be an average of the Arctic and Antarctic. The tropics are all grid boxes between 23.44°S and 23.44°N. The midlatitudes are all regions between the tropics and the poles.
 This work concentrates only on annually averaged quantities. Many of the radiative quantities discussed in subsequent sections will undoubtedly have a seasonal cycle that could be modulated by geoengineering, particularly if the CO2 physiological effect (described in subsequent sections) is included. However, these changes are expected to be sufficiently complex as to distract from the main findings, so discussions of the seasonal cycle are reserved for future work.
 All results described in subsequent sections are specific to the highly idealized experiment design. However, as described in detail by Kravitz et al. , this experiment can yield important clues and reveal fundamental understanding of climate processes and responses to other geoengineering scenarios. The way in which geoengineering would be performed strongly depends on the desired climate goal, so the purpose here is not to provide a perfectly realistic representation of geoengineering, but instead to improve understanding and promote ease of model intercomparison; the experiments discussed here are well suited to this purpose.
3 Differentiation of Response Time Scales
 Climate system response is divided into two broad time scales, termed the rapid adjustment and feedback response, also called the fast and slow responses, respectively. The response of the climate system to a forcing operates on multiple time scales due to different response times in parts of the climate system [Andrews and Forster, 2010]. Because the atmosphere and parts of the land surface have a low heat capacity, they adjust quickly in response to forcing; these responses, termed rapid adjustments, are unassociated with changes in global mean surface air temperature [Andrews et al., 2009; Bala et al., 2010; Cao et al., 2012]. On longer time scales, the land and ocean surface will warm, and any global climate system response to these warming temperatures is termed the feedback response.
 Rapid adjustments generally occur within the first few weeks or months of the abrupt4xCO2 and G1 simulations [Cao et al., 2012; Dong et al., 2009]. To isolate these adjustments from the climate response to temperature increases, the rapid adjustment is defined here as quantities averaged over the first year of simulation. We acknowledge deficiencies in this definition, in that results may be contaminated by some global temperature change (see below). Part of the feedback response is captured in an average over years 11–50, as in Kravitz et al.  and Tilmes et al. . Because changes in the ocean mixed layer operate on a time scale of approximately 10 years [e.g., Gregory and Forster, 2008; Jarvis, 2011], averaging over the chosen period is sufficient to capture some of the response of the climate system to changes in temperature. However, over this period, the rapid adjustment and feedback responses of the climate system are convolved [e.g., Bala et al., 2010]. To isolate the feedback response from the rapid adjustment, the year 1 average is subtracted from the years 11–50 average; this difference is defined here as the feedback response. Because different models may vary in their radiative adjustment times, averaging over subyear time scales would likely exacerbate intermodel differences and amplify seasonal cycle variability, obscuring results, and preventing consistent analysis. Using the first full year as a representation of model rapid adjustment is a compromise that allows us to assess the radiative effects for small amounts of temperature change, but independent of the seasonal cycle, thus capturing the essence of the quantities we wish to analyze.
 This method of representing the feedback response is similar to the approach of Schmidt et al. , although they reported feedback response changes for abrupt4xCO2 as averages over years 101–150, whereas we report changes over years 11–50. Although our method truncates some of the warming that will be realized, as well as some of the feedbacks operating on longer time scales, analysis over this shorter period is sufficient to differentiate the rapid adjustment and feedback responses, allowing accurate description of qualitative differences between radiative responses and temperature-related feedbacks. The method used here also has the advantage of representing consistent quantities in both abrupt4xCO2 and G1, as G1 was only simulated for 50 years by most modeling groups.
 These divisions into rapid adjustment and feedback responses are imperfect, as some amount of temperature change, particularly in the abrupt4xCO2 simulation, will be realized in the first year of simulation [Dong et al., 2009; Kravitz et al., 2013; Tilmes et al., 2013]. Often, the rapid adjustment is determined by the ordinate intercept obtained from regression of annually averaged changes in radiative fluxes against changes in temperature, and the feedback response is given by the slope of the regression line, expressed as radiative flux changes relative to temperature changes [Gregory et al., 2004]. This method is well suited to determining rapid adjustment and feedback responses in abrupt4xCO2, but is inapplicable to G1, because changes in globally averaged surface air temperature are very small [Kravitz et al., 2013]. The method chosen here can be applied to both abrupt4xCO2 and G1 but may be somewhat inaccurate in determining the rapid adjustments in both simulations.
 To determine the effects of this choice of representing the rapid adjustments, we analyzed radiative fluxes for the sstClim and sstClim4xCO2 simulations from six of the models participating in GeoMIP (see Table S1 for participating models). sstClim is a preindustrial control simulation with prescribed sea surface temperatures and sea ice. sstClim4xCO2 involves prescribed preindustrial sea surface temperatures and sea ice in which CO2 concentrations are instantaneously quadrupled; this simulation can be seen as an intermediate simulation between sstClim and abrupt4xCO2. Because these simulations have fixed sea surface temperatures, they contain no feedback response, meaning an average over all years of radiative flux changes (sstClim4xCO2–sstClim) will give a good estimate of the rapid adjustment in these models. The results of the six-model ensemble mean are given in Table S2.
 Overall, our method of estimating the rapid adjustment shows good agreement with values obtained from simulations with fixed sea surface temperatures. The longwave response (averaged over year 1) is slightly higher than in the fixed sea surface temperature simulations, which is to be expected if the results include a small amount of temperature change. The largest differences are found in latent heat flux changes; the annual average of the first year captures less than half of the latent heat response obtained from the simulations with fixed sea surface temperatures. This in turn affects estimates of the surface energy budget (see section 4.3 and equation (1) below) and radiative estimates of evaporation changes (see section 5.1 and equation (5) below). Although our method of representing the rapid adjustment fails to capture the full magnitude of the latent heat rapid adjustment in abrupt4xCO2, it does capture the qualitative behavior of latent heat flux changes. Thus, this compromise does not affect our conclusions, although care must be taken in interpreting the results presented here, particularly when comparing relative magnitudes of different radiative fluxes.
4 Changes in the Surface Radiation Budget
 The radiation budget at the top of the atmosphere is comprised of shortwave and longwave components. At the surface, any changes in radiative fluxes are compensated by changes in surface turbulent heat fluxes, i.e., sensible and latent heat fluxes [Boer, 1993]. More specifically,
where ρ denotes the density of the medium (kg m−3), h denotes a length scale associated with ocean heat uptake (m), cp denotes the specific heat of the surface (W m−2 K−1), T is temperature (K), t is time (s), SW is shortwave radiation (W m−2), LW is longwave radiation (W m−2), SH is sensible heat flux (W m−2), and LH is latent heat flux (W m−2). These abbreviations are consistent throughout the remainder of this paper.
Section 4.1 contains analyses of changes in radiative fluxes, i.e., shortwave and longwave radiative fluxes, which induce changes in sensible and latent heat fluxes. Section 4.2 shows analyses of the resulting changes in sensible and latent heat fluxes, which indicate changes in evaporative moisture flux, as well as land-sea contrast of temperature and moisture changes. Section 4.3 includes an evaluation of changes in the right side of equation (1), which gives an indication of heat storage, mostly via ocean heat uptake.
4.1 Surface Radiative Fluxes
 A change in solar irradiance, as in G1, has qualitatively different radiative effects than a change in CO2 concentrations. An increase in CO2 primarily affects longwave radiation in the free troposphere. In contrast, although some amount of solar irradiance is absorbed in the free troposphere, most passes through the atmosphere; hence, the primary effects of a solar irradiance reduction are at the surface [e.g., Bala et al., 2010]. The climate response shown for experiment G1 is a combination of forcing from CO2 and solar reduction. As such, the results of abrupt4xCO2 can be used to characterize the CO2-driven parts of the response in G1. Figure 1 shows globally averaged changes in radiative fluxes, including shortwave, longwave, and total surface radiative fluxes. Figure 2 shows model spread for global, land, and ocean averages of changes in surface radiative fluxes. Figure 3 shows the spatial distribution of the rapid adjustment for these three radiative fluxes, and Figure S1 shows the feedback response.
 The rapid adjustment of abrupt4xCO2 shows a small globally averaged net shortwave radiative flux increase due to a number of contributing factors, although model agreement on the locations of these changes is not robust (Figure 3). An increase in CO2 concentrations increases atmospheric absorption of solar irradiance in the solar CO2 absorption band, reducing received shortwave radiative flux at the surface. However, this effect is surpassed by an increase in net shortwave radiative flux due to cloud forcing (Figure 4; cloud forcing is defined as all-sky minus clear-sky changes in radiative fluxes), which is in part indicative of reduced cloud cover resulting from tropospheric adjustment and increased stability [Andrews and Forster, 2008; Gregory and Webb, 2008; Andrews et al., 2009]. In the feedback response (Figure S1), net shortwave radiative flux decreases throughout most of the tropics and midlatitudes, indicating a relaxation of the rapid adjustment (Figure 1). Part of this decrease is due to increased absorption of shortwave radiation by the atmosphere, a consequence of increased tropospheric water vapor, which is described by the Clausius-Clapeyron relation (Figure 5). The Arctic shows a further increase in net shortwave radiative flux in the feedback response (Figure S1), which is consistent with continued melting of sea ice [Kravitz et al., 2013]; this is one of the few large-scale robust features of the shortwave feedback response of abrupt4xCO2.
 The rapid adjustment of G1 shows a decrease in shortwave radiative flux at the surface, consistent with a reduction in solar irradiance (Figure 2). This decrease shows latitudinal dependence (Figure 3), consistent with a uniform solar reduction [e.g., Govindasamy and Caldeira, 2000]. Globally averaged shortwave cloud forcing increases; the cloud forcing in G1 is approximately twice the forcing in abrupt4xCO2 (Figure 2). Any changes in cloud cover that would result in increases in shortwave cloud forcing are due to a combination of tropospheric radiative adjustment to increased CO2 concentrations [Andrews et al., 2009] and increases in atmospheric stability [Bala et al., 2008; Kravitz et al., 2013]. However, some of these apparent changes are due to cloud masking of clear-sky radiative fluxes [Andrews et al., 2009]. That is, due to the reduction of solar irradiance in G1, changes in surface shortwave radiative fluxes will be larger in clear-sky than in all-sky, which will generate an apparent large positive shortwave cloud forcing when taking the difference between these two quantities. Because temperature changes in G1 are small, the feedback response is small (Figures 1 and 2). Changes in the feedback response of shortwave radiative flux are negligible, with few robust features (Figure S1). The results presented here are consistent with those of Schmidt et al. .
 These changes in downward longwave radiative flux are attributable to specific changes in atmospheric constituents. The dominant contributors to this flux are changes in cloud fraction and changes in emissivity. Contributions from clouds (Figures 4 and S2) can be calculated as all-sky minus clear-sky, although analysis of this quantity will also be contaminated by cloud masking. That is, forcing from emissivity changes is larger in clear-sky than all-sky conditions because optically thick clouds mask part of the radiative effects of emissivity changes. The contribution from emissivity can be further divided into changes in noncondensing greenhouse gases (in these simulations, CO2), which have a ubiquitous forcing in the models, and changes in temperature and condensing greenhouse gases (primarily water vapor). The Clausius-Clapeyron relation [e.g., Schneider et al., 2010] indicates that changes in temperature and changes in water vapor are difficult to separate from each other, but the combination of these two effects can be separated from the effects of the noncondensing gases.
 Following the discussion of Wang and Liang ,
where Ldc is the clear sky downward longwave radiative flux at the surface, ϵ is the emissivity of the atmosphere, σ = 5.67 × 10−8 W m−2 K−4 is the Stefan-Boltzmann constant, and T is the emission temperature of the atmosphere radiating as a blackbody. We can also write
where Ld is the all-sky downward longwave radiative flux at the surface and f is cloud fraction. Because the models output the longwave radiative fluxes at the surface, we can solve for ϵ, obtaining
 Figure 6 shows plots of changes in ϵ for abrupt4xCO2 and G1. In abrupt4xCO2, the rapid adjustment increase in Antarctic emissivity is 0.06, and in G1 is 0.02, compared to a baseline value of 0.37 in piControl. This region was chosen because it has the smallest increase in water vapor (Figure 5), although comparing these two values clearly indicates that some amount of water vapor has entered the Antarctic in the abrupt4xCO2 simulation. The tropical increase in emissivity in the abrupt4xCO2 feedback response (Figure 6), as well as the increase in downward longwave radiative flux (Figure S1), correlates well with the increase in tropical water vapor (Figure 5). This allows us to conclude that although increases in emissivity due to CO2 are nonnegligible, the dominant reason for an increase in clear-sky downward longwave radiative flux in abrupt4xCO2 is an increase in water vapor. Because temperatures do not increase in G1, by the Clausius-Clapeyron relation, atmospheric water vapor should not show large changes, whereas it should increase substantially in abrupt4xCO2. Due to the latitudinally varying reduction in shortwave radiation, the tropics show cooling in G1 [Kravitz et al., 2013], which results in reduced tropical water vapor (Figure 5). For these reasons, G1 shows much smaller rapid adjustment changes in emissivity than abrupt4xCO2, and in regions that do not show changes in water vapor, indicating that CO2 plays a more important role in increasing longwave radiative flux than changes in water vapor. Regions with a strong net cloud forcing (Figure 4) show small changes in emissivity for both abrupt4xCO2 and G1, indicating the effectiveness of clouds in masking longwave increases due to CO2 or water vapor.
 For abrupt4xCO2, the net rapid adjustment of total (shortwave + longwave) radiative flux shows a nearly ubiquitous increase, primarily due to longwave radiative flux increases (Figure 3). The feedback response shows a further increase, also primarily due to the longwave response. The rapid adjustment of net cloud forcing is small, whereas the feedback response is a net decrease in cloud forcing, predominantly due to the longwave effect.
 For G1, the rapid adjustment of globally averaged total radiative flux is negative (Figure 2); the decrease in solar irradiance has a stronger effect on the surface than the increase in longwave radiative flux. The net rapid adjustment of cloud forcing is positive, particularly in the tropics (Figure S1), which is overwhelmingly due to the shortwave effect. The net radiative effect in the Arctic is slightly positive, which is consistent with the results of Kravitz et al. , who showed slight reductions in Arctic sea ice (all-model ensemble mean) in G1. As discussed previously, the feedback response in G1 is small, with few robust features.
 The latitudinal dependence of cloud forcing is seen in both the shortwave and total radiative flux fast response of G1 (Figure S1), although some of the apparent cloud forcing is likely due to cloud masking, which is described above. Reduced cloud cover in G1 results in a net positive forcing, meaning solar irradiance must be further reduced to prevent surface air temperature increases. In this sense, the responses of clouds to the reduced solar radiation act as a negative feedback on the radiative effects of solar geoengineering. Schmidt et al.  cited cloud adjustments as the reason solar irradiance needed to be reduced in G1 further than simple energy balance calculations would suggest.
 The individual models show comparable qualitative responses for both abrupt4xCO2 and G1 in the rapid adjustment and feedback responses for the global average (Figures S7–S9). The land response is significantly more variable, likely in part due to intermodel differences in cloud adjustment, with some models showing opposite rapid adjustments from others, particularly for abrupt4xCO2.
4.2 Sensible and Latent Heat Fluxes
 The turbulent heat fluxes, i.e., sensible and latent heat fluxes, are induced by shortwave and longwave radiative fluxes. If adjusted radiative forcing is not the same at both the surface and TOA, there will be an induced change in the turbulent components at the surface to maintain the tropospheric heat balance [Andrews et al., 2009]. The Bowen ratio is defined as the ratio of sensible to latent heat fluxes, i.e.,
 A decrease in the Bowen ratio indicates that more energy is used to change the phase of water, implying that particular region is becoming wetter. Conversely, an increase in the Bowen ratio implies that a region is becoming dryer. This explanation ignores changes in circulation that may result in changes in moisture advection, but the explanation provided here is true for a global average and explains a significant portion of regional response; the energetic equivalent of moisture advection is revisited in section 5.2. Understanding the climate response to changes in these turbulent fluxes is crucial: Ban-Weiss et al.  found that simply repartitioning latent and sensible heat fluxes results without changing the net energy content of the climate system results in cloud feedbacks that alter both global and local temperatures. Changes in turbulent fluxes are shown in Figures 1, 2 , 7, S3, and S10–S12. Note that we continue the sign convention adopted previously in the paper, namely that positive values indicate a net flux downward. This convention is the opposite of how turbulent heat fluxes are usually reported, so in this section, descriptions of the direction of the flux are provided wherever possible.
 The rapid adjustment of sensible heat flux in abrupt4xCO2 shows an increased net flux from the land surface to the atmosphere and a decreased net flux from the ocean surface to the atmosphere (per the chosen sign convention, net sensible heat flux decreases over land and increases over oceans). In the feedback response, net sensible heat flux from the surface to the atmosphere is reduced, predominantly over the ocean. The rapid adjustment of net latent heat flux is a net flux from the atmosphere to the surface over both land and ocean; in the feedback response, this pattern is reversed. This results in a rapid adjustment increase in the Bowen ratio over land, but a decrease over ocean and in the global average; the feedback response shows a decrease over the ocean and no change over land.
 The responses of the turbulent fluxes in abrupt4xCO2 are consistent with other studies [e.g., Ramanathan, 1981; O'Gorman and Schneider, 2008; Liepert and Previdi, 2009; Bala et al., 2010]. The atmosphere adjusts to an abrupt increase in CO2 concentrations by reducing condensational heating to maintain radiative-convective equilibrium; radiative flux changes due to CO2 are greater at TOA than at the surface [Andrews et al., 2009]. Thus, there must be a reduced turbulent flux from the surface to the atmosphere to compensate for this energy imbalance. Over oceans, the abundance of water means nearly all adjustment is via latent heat fluxes, whereas over land, some adjustment is through sensible heat fluxes [Sutton et al., 2007; Dong et al., 2009]. Thus, the expected rapid adjustment to an abrupt increase in CO2 concentrations is a net reduction in sensible and latent heat fluxes from the surface to the atmosphere. This explanation is overly simple, in that it ignores feedbacks and complicated near-surface effects, including the CO2 physiological effect discussed below [Joshi et al., 2008; Andrews et al., 2009], but it explains the broad features of the rapid adjustment in abrupt4xCO2, as well as part of the reason for the land-sea contrast in turbulent fluxes and temperature change. Over time, the atmosphere warms, and the feedback response is an increased net latent heat flux from the surface to the atmosphere and a decreased net sensible heat flux from the surface to the atmosphere [Dong et al., 2009].
 In G1, the rapid adjustment of sensible heat flux shows the same patterns of change as abrupt4xCO2, although with reduced magnitude. The rapid adjustment of latent heat flux shows an increase of approximately a factor of 2 larger than for abrupt4xCO2. This results in an increase in the Bowen ratio over land, and a slight decrease over the ocean. As before, small temperature changes in G1 result in a small feedback response with few robust features (Figures S2 and S3).
 Changes in solar irradiance are primarily felt at the surface, whereas the rapid adjustment due to greenhouse gases manifests throughout the free troposphere [Liepert and Previdi, 2009]. Because surface temperatures do not change appreciably in G1, sensible heat changes are small, so the bulk of the rapid adjustment to the radiative forcing and cloud forcing must therefore be via a strongly reduced net latent heat flux from the surface to the atmosphere. The feedback response is suppressed in G1, so this increase in downward longwave radiative flux is maintained, as is the negligible change in sensible heat flux. These results are consistent with the rapid adjustments found by Bala et al.  and Cao et al. .
 Model responses of sensible and latent heat flux are similar to each other, and experiments abrupt4xCO2 and G1 show consistently different results (Figures S10–S12). In particular, most models show a rapid adjustment decrease in terrestrial sensible heat flux (i.e., increase in terrestrial net heat flux from the surface to the atmosphere) in the tropics and midlatitudes and a near-uniform increase in oceanic heat flux (less net heat flux from the surface to the atmosphere). Models disagree over the magnitude of the tropical terrestrial sensible heat flux response, with equatorial model response ranging between −20 and 5 W m−2 for both abrupt4xCO2 and G1. The rapid adjustment of terrestrial latent heat flux shows an increase (less net heat flux from the surface to the atmosphere) at nearly all latitudes in both abrupt4xCO2 and G1, particularly in the tropics. The increase in equatorial latent heat flux in both experiments ranges between 0 and 35 W m−2. The wide variation in changes can in part be attributed to different land surface parameterizations which affect the strengths of the induced turbulent fluxes.
 The changes in sensible heat flux described above are likely specific to this experiment, as the sign of the change in sensible heat is dependent upon the optical thickness of atmospheric longwave absorbers [O'Gorman and Schneider, 2008]. However, this will not significantly alter the magnitude of the sensible heat fluxes, and because changes in sensible heat flux are small compared to changes in latent heat flux, we do not expect the qualitative features of our results to be strongly dependent upon experiment design.
 In response to rapid increases in CO2 concentrations, plants close their stomata, reducing evapotranspiration and thus latent heat flux from the surface to the atmosphere; there is an associated increase in net sensible heat flux from the surface to the atmosphere to compensate [e.g., Field et al., 1995; Sellers et al., 1996; Dong et al., 2009]. This effect, known as the CO2 physiological effect, has been shown to have a significant influence on the rapid adjustment of the land surface energy budget to increased greenhouse gas concentrations, as in abrupt4xCO2 [e.g., Naik et al., 2003; Cao et al., 2010; Andrews et al., 2011; Cao et al., 2012; Fyfe et al., 2013]. As this effect is predominantly due to CO2, effects of a similar magnitude should also be present in G1 [Matthews and Caldeira, 2007].
Tilmes et al.  investigated the strength of the physiological effect in one model participating in GeoMIP, Community Climate System Model version 4. They found that the physiological response to G1 is qualitatively the same as for abrupt4xCO2, namely, that evapotranspiration decreases, and there is a reduced net latent heat flux from the surface to the atmosphere, while there is an increased net sensible heat flux from the surface to the atmosphere, and hence, land temperatures increase. These results support the conclusions of Fyfe et al.  that the CO2 physiological effect is of similar importance to the radiative effects in determining land turbulent fluxes for geoengineering experiments. However, no other model has conducted GeoMIP-specific simulations which only differ by inclusion of the CO2 physiological effect, so robust multimodel conclusions cannot be drawn.
 All models except EC-Earth include this CO2 physiological effect [Kravitz et al., 2013; Tilmes et al., 2013]. Figure S11 reveals that EC-Earth has a small rapid adjustment of land sensible heat flux for both abrupt4xCO2 and G1, whereas all other models show a net sensible heat flux from the surface to the atmosphere, consistent with past studies. Similarly, EC-Earth shows few changes in land latent heat flux, whereas all other models show a reduced net latent heat flux from the surface to the atmosphere in both abrupt4xCO2 and G1, consistent with a reduction in evapotranspiration. Combining these two changes, the Bowen ratio expectedly increases for all models except EC-Earth, predominantly in the tropics.
 Due to the high uncertainty in the parameterizations of the CO2 physiological effect, we are unable to assess the realism of the models' land surface responses in abrupt4xCO2 and G1. As such, these results cannot conclusively determine robust features of the physiological responses to both abrupt4xCO2 and G1. However, they do suggest that this effect is one of the driving forces behind the land-sea contrast in modeled turbulent fluxes. Fyfe et al.  found different effects for stratospheric sulfate aerosol geoengineering, in part due to an increase in diffuse solar irradiance; as such, these results may depend upon the experimental design.
4.3 Surface Energy Balance
 The lines in Figure 1 labeled “Surf Energy Budget” and the bars in Figure 2 labeled “Budget” are plots of the sum of changes in shortwave radiative fluxes, longwave radiative fluxes, sensible heat fluxes, and latent heat fluxes (i.e., the right side of equation (1)). This quantity determines how well the surface and atmospheric energy budgets are in balance; when this quantity is nonzero, the surface heat content changes [Boer, 1993].
abrupt4xCO2 shows a globally averaged rapid adjustment of the sum of these radiative fluxes to be 5.99 (3.49 to 8.28) W m−2, and the feedback response to be −3.45 (−5.02 to −1.46) W m−2. This indicates heat uptake over the entire length of the simulation, but at a decreasing rate due to increased tropospheric temperatures and thus increased emission of radiation to space. Conversely, G1 shows a globally averaged rapid adjustment of −0.35 (−1.41 to 0.17) W m−2 and a feedback response of 0.40 (−0.07 to 1.20) W m−2, indicating an initial small loss of heat from the surface in the first year of simulation, followed by virtually no change (the net effect in the years 11–50 average is an increase of 0.05 W m−2 for the all-model ensemble mean) in surface heat content throughout the remainder of the simulation.
 In the feedback response, the ensemble mean response of both abrupt4xCO2 and G1 show patterns (Figures 8 and S13) of net surface heat flux that compare well with observed climatologies (not shown) [Josey et al., 1996, 1999]. Because all of the participating models in this study include fully coupled oceans, a more accurate assessment of ocean heat uptake can be undertaken than in many previous studies that used slab ocean models. In abrupt4xCO2, the North Atlantic remains a region of net heat flux from the ocean to the atmosphere, but the flux is reduced by approximately a factor of two; we have not yet ascertained an explanation for this feature. With this exception, nearly the entire ocean shows increased heat uptake. Because G1 is largely in surface and atmospheric energy balance, there is no indication of large changes in ocean heat uptake in this experiment.
5 Effects of Radiative Changes on the Hydrological Cycle
 Because mean precipitation is governed by the availability of energy, specifically the net radiative loss in the free atmosphere, if surface radiative fluxes change, precipitation must change in a way such that the atmospheric energy budget continues to balance [e.g., Allen and Ingram, 2002; O'Gorman et al., 2012]. Therefore, the results described in section 4 can be used to explain changes in precipitation in experiments abrupt4xCO2 and G1. This approach, while useful, has limitations, in that there are effects on the hydrological cycle which are not directly determined by the surface and atmospheric energy budgets. For example, changes in the dynamics of the Hadley circulation and extratropical moisture transport can dampen the precipitation response to global warming [Held and Soden, 2006; Lorenz and DeWeaver, 2007]. Although we do not analyze these changes, the analysis in section 5.2 below suggests that they can be important for abrupt4xCO2, and less so for G1.
5.1 Global Changes in Precipitation
 Because changes in atmospheric storage of water are relatively small compared to the amount of water that is precipitated and evaporated, changes in globally, annually averaged precipitation are equal to changes in evaporation [Liepert and Previdi, 2009; Wild and Liepert, 2010]. More specifically, Liepert and Previdi  describe long-term precipitation changes via the equation
where Lc is the latent heat of condensation of water (approximately 2.5 × 106 W m−2 K−1), ∆P is change in precipitation, ∆E is change in evaporation, ∆LH is change in latent heat flux, ∆Rsfc is change in surface radiative fluxes (shortwave + longwave), ∆SH is change in sensible heat flux, and ∆M is heat storage by the surface. (Note that this approach neglects effects on heat storage due to changes in snow and ice.) On a decadal time scale, ∆M = ∆RTOA [Hansen et al., 2005; Liepert and Previdi, 2009]. Substituting this relation, we obtain the formulation of O'Gorman et al. 
 The right side of equation (7) is denoted ∆Q, as is done by Muller and O'Gorman , to give
Q is defined as the column-integrated diabatic cooling (excluding latent heating), which is the energetic equivalent of evaporative moisture flux and is the primary contributor to mean precipitation. This is clear in light of equation (6), although the formulation of equation (8) can be generalized, so it is applicable to both global and local scales, described in section 5.2 below. Maps showing spatial distributions of changes in Q can be found in Figures 9 and S4.
 Although the relation ∆M = ∆RTOA applies on a decadal time scale, by definition, ∆M should be small in the rapid adjustment. By experimental design, ∆RTOA is approximately 0 in G1, so ∆M = ∆RTOA indeed holds (approximately), meaning equation (7) is applicable to G1 regardless of time scale. However, in abrupt4xCO2, ∆RTOA is positive, so ∆M = ∆RTOA does not hold. Combining equations (6) and (8), the following relationship is obtained: Lc∆P = ∆Q + ∆RTOA − ∆M. As such, the change in precipitation in abrupt4xCO2 should be more positive (increase in precipitation or smaller decrease) than would be indicated by the quantity ∆Q. Below, we explore the effects on the accuracy of ∆Q in predicting the precipitation changes discussed by Kravitz et al.  and Tilmes et al. .
 The rapid adjustment of abrupt4xCO2 shows a decrease in Q, which is dominated by the land surface response (Figure 2). The feedback response shows an increase that is much larger than the decrease seen in the rapid adjustment. ∆Q has a distinct land-ocean contrast in the sign of the rapid adjustment, but the increase in the feedback response is near uniform.
 In G1, the rapid adjustment of Q shows an even greater globally averaged decrease than in abrupt4xCO2; unlike for abrupt4xCO2, the decrease is substantial over both land and ocean. The feedback response shows few changes, consistent with previous statements that temperature-related feedbacks are suppressed. Models generally show agreement on zonal changes in Q in both abrupt4xCO2 and G1, although some models are more responsive than others (Figures S14–S16).
 Changes in Q accurately explain the mean precipitation changes found by Kravitz et al.  and Tilmes et al. . In these studies, both abrupt4xCO2 and G1 show a rapid adjustment of reduced precipitation; while precipitation later increases in abrupt4xCO2 as a response to temperature increases, it remains suppressed in G1. This is in part due to the definition of rapid adjustment adopted in this paper (see section 3). The definition of rapid adjustment chosen for this paper underestimates precipitation adjustment in abrupt4xCO2 because rapid adjustment to an increase in CO2 concentrations acts to reduce precipitation, but an increase in temperature increases precipitation [e.g., Andrews et al., 2009]. However, in G1, changes in temperature are small, so the rapid adjustment of precipitation is reduced even more than in abrupt4xCO2, as also discussed by Tilmes et al. . Using a close approximation that 1 mm day−1 of precipitation is approximately equivalent to 29 W m−2 of energy flux [Muller and O'Gorman, 2011], the fast response of abrupt4xCO2 shows a decrease in global precipitation by 0.07 mm day−1, and G1 shows a decrease by 0.11 mm day−1; these values are in good agreement with those reported by Schmidt et al.  and Kravitz et al. . Bala et al.  hypothesized a gradual decrease in the precipitation rate in an experiment similar to G1, based on the assumption that the climate response is stabilized, so the surface radiative fluxes are balanced solely by changes in the turbulent fluxes. Our results show no such corresponding feedback response in Q.
 In the globally averaged rapid adjustment of abrupt4xCO2, ∆Rsfc = 4.08 W m−2 (all-model ensemble mean), ∆SH = 0.08 W m−2, and ∆Q = −2.17 W m−2, meaning ∆RTOA = 6.33 W m−2 by equation (8). Similarly, G1 shows a rapid adjustment of ∆Rsfc = −3.81 W m−2 (all-model ensemble mean), ∆SH = −0.01 W m−2, and ∆Q = −3.14 W m−2, so ∆RTOA = −0.68 W m−2; this last value is consistent with values reported by Kravitz et al. . These values are consistent with the explanation by O'Gorman et al.  that if radiative fluxes change, precipitation must change in such a way as to balance the total column atmospheric energy budget. The value of ∆Q effectively determines the amount of adjustment by precipitation to account for average column energy imbalances. ∆Q is greater in the rapid adjustment of G1 than abrupt4xCO2. As such, precipitation reductions in the rapid adjustment of G1 should be greater in magnitude than in the fast response of abrupt4xCO2.
 Figure S1 of Kravitz et al.  shows that the precipitation reduction in the first year is greater for G1 than for abrupt4xCO2, consistent with the reported values of ∆Q. Using the regression method discussed in section 3, Tilmes et al.  found that the regressed precipitation reduction in G1 is less than for abrupt4xCO2. The discrepancy between calculations of these two methods is in part due to the fact that averages over the first year of simulation already include some amount of warming in abrupt4xCO2, explaining why the rapid adjustment of Q reported in this paper is greater for G1 than abrupt4xCO2.
 The results presented here are consistent with explanations invoking change in moist static stability. The definition of rapid adjustment is that tropospheric temperatures adjust before ocean temperatures have time to change [Gregory and Webb, 2008]. This reduces convective precipitation by increasing atmospheric stability [Dong et al., 2009; Bony et al., 2013], causing a rapid adjustment of reduced precipitation and evaporation [Bala et al., 2010]. As temperatures increase due to increased CO2, both surface and tropospheric temperatures increase; this maintains a moist adiabatic lapse rate, so precipitation increases [Lambert and Webb, 2008]. However, because solar reduction affects the surface more than the troposphere, the atmospheric lapse rate decreases, and moist static stability increases [Bala et al., 2008; Kravitz et al., 2013].
 The long-term global average of precipitation minus evaporation (P−E) should be 0. This relationship should also hold for the energetic equivalents of these quantities, namely that ∆Q + ∆LH should also be 0. (Because all net radiative fluxes are defined as positive downward, we take the sum of Q and LH instead of the difference.) The globally averaged rapid adjustment of Q + LH for abrupt4xCO2 is −0.34 W m−2, and the feedback response is 0.39 W m−2. For G1, the rapid adjustment flux is Q + LH is 0.32 W m−2, and the feedback response is −0.32 W m−2. These results are consistent with Kravitz et al. , who found that globally averaged P−E remains largely unchanged in G1, even though both P and E are reduced, resulting in a weaker hydrological cycle [Tilmes et al., 2013].
5.2 Local Changes in Precipitation
 In the global, long-term average, precipitation and evaporation rates are equal. Locally, the precipitation rate is the sum of contributions from evaporation and moisture convergence. Muller and O'Gorman  describe these two contributory quantities in terms of energetics. One quantity is the column-integrated diabatic cooling (excluding latent heating), introduced above as Q. The second quantity, denoted H by Muller and O'Gorman , is the dry static energy flux divergence associated with the circulation, which is the energetic equivalent of moisture convergence. This quantity is defined by
 Changes in Q can explain mean changes in precipitation, as was shown in section 5.1, but describing spatial variability of precipitation changes also requires discussions of changes in H. Maps showing changes in spatial distributions of both Q and H can be found in Figures 9 and S4.
 Similarly to ∆Q, the rapid adjustment of H in abrupt4xCO2 shows a distinct land-sea contrast (Figure 2); H increases over land and decreases over ocean, with a slight increase in the global mean. The feedback response shows a slight global decrease in H, primarily due to a decrease over land. ∆H in both the rapid adjustment and feedback responses shows strong, robust increases (>32 W m−2) in parts of the Intertropical Convergence Zone (ITCZ), which is consistent with reduced tropical stability and increased convective precipitation [Kravitz et al., 2013; Tilmes et al., 2013].
 The rapid adjustment of H in G1 shows a slight globally averaged decrease with little robustness. There is some increase in ∆H in the ITCZ that is compensated by a decrease in ∆Q in this region. The feedback response shows few changes. Figures S14–S16 show that model behavior of H is highly variable in both abrupt4xCO2 and G1.
 The sum of these quantities, which is LcP by equation (9), shows an overall rapid adjustment decrease in abrupt4xCO2. In the land average, the rapid adjustment in abrupt4xCO2 is ∆Q + ∆H = 1.52 W m−2, indicating an increase in land precipitation, despite a decrease in total precipitation; these results are consistent with those of Kravitz et al. . These results are also quite similar to those found by Cao et al. , who found that the causes for the precipitation and evaporation changes in abrupt4xCO2 are manifest within days. In G1, ∆H is relatively weak, so the rapid adjustment of precipitation is mostly due to changes in Q. Thus, rapid adjustments of precipitation in abrupt4xCO2 are due to both mean changes in evaporation and changes associated with moisture convergence, with both quantities showing a strong land-sea contrast. Conversely, changes in precipitation in G1 are largely due to mean changes in evaporation and much less so by circulation changes. Muller and O'Gorman  attribute most changes in H as due to changes in the mean circulation (e.g., Hadley, Ferrel, and Walker cells). Thus, our results suggest that changes in the annual mean circulation are small in G1, although changes on a seasonal time scale could still be important. This is consistent with the perspective that the rapid adjustment of abrupt4xCO2 will have a land warming component, which would likely cause changes in circulation, but this land warming is partially offset in G1, implying fewer circulation changes. Indeed, the all-model ensemble mean rapid adjustment shows land warming of 1.91 K for abrupt4xCO2 and 0.43 K for G1. However, analyses of circulation changes are beyond the scope of this work.
 In the global mean, ∆Q + ∆LH is small, indicating that global changes in P−E are also small in G1. Figures S5 and S6 attempt to discern whether a similar relationship holds on a local scale. The rapid adjustment of ∆Q + ∆LH shows robust decreases over land regions, and ∆H + ∆LH shows robust increases over land regions, but these findings are dominated by the changes in Q and H, which are large compared to changes in latent heat flux. Overall, there is no indication that ∆Q + ∆H is equal to changes in latent heat flux on a local scale, indicating that abrupt4xCO2 shows large local changes in P−E; this result was also found by Kravitz et al.  (also consistent with Tilmes et al. [2013, Figure 3]). Conversely, the rapid adjustment of G1 shows that ∆Q + ∆H + ∆LH is 0.10 W m−2 in the global average. In the land average, ∆Q + ∆LH = −0.06 W m−2, but ∆H = 1.15 W m−2, indicating that circulation changes positively contribute to precipitation changes over land, although less than for abrupt4xCO2. Over the ocean, ∆Q + ∆H + ∆LH = −0.45 W m−2, with ∆Q and ∆H both contributing negatively to precipitation.
6 Discussion and Conclusions
 Our study is the first intercomparison of fully coupled atmosphere-ocean general circulation models to assess changes in the surface energy budget due to geoengineering. These changes can be used to understand how the atmosphere adjusts to the combination of CO2 increases and compensating solar reductions, and in turn how precipitation adjusts to these energy flux changes. In particular, use of many models improves confidence in our results. We summarize the main conclusions from our study as follows:
 Because temperature increases are suppressed in G1, the feedback response in G1 is small.
 The rapid adjustment of abrupt4xCO2 shows an increase in downward longwave surface radiative flux primarily due to cloud cover changes and increases in water vapor. The increase in downward longwave surface radiative flux in G1 is primarily due to CO2.
 Both abrupt4xCO2 and G1 show a rapid adjustment decrease in land sensible heat flux (more net heat flux from the surface to the atmosphere) and an increase in latent heat flux (reduced net heat flux from the surface to the atmosphere). However, abrupt4xCO2 shows more decrease in sensible heat flux and less increase in latent heat flux, suggesting that the rapid adjustment of abrupt4xCO2 includes some amount of land temperature increase and less decrease in evaporation than G1.
 The CO2 physiological effect appears to be quite important in determining the rapid adjustment of the turbulent fluxes. However, we are unable to ascertain whether this effect is more important than the radiative effects.
abrupt4xCO2 shows a significant increase in ocean heat uptake, but G1 shows little change in ocean heat uptake.
 An abrupt increase in CO2 causes an initial suppression in global precipitation, but the rapid adjustment is associated with changes in circulation patterns, which result in an increase in precipitation over land regions [e.g., Cao et al., 2012]. In the feedback response, temperature-related feedbacks increase radiative fluxes at the surface; this change in energy balance results in more precipitation.
 A reduction in solar radiation imposed upon this CO2 increase causes an initial suppression in precipitation that is sustained throughout experiment G1 because the feedback response is small. The energetic perspective used here suggests that changes in the annual mean circulation are small in G1.
 Although the experiments investigated here are highly idealized, they are quite useful in characterizing more general results regarding offsets of CO2 forcing with reduced shortwave forcing. Changes in surface forcing and precipitation are approximately linear with changes in CO2 and insolation [Andrews et al., 2009; Andrews and Forster, 2010; Schneider et al., 2010]. Moreover, because transient simulations of CO2 increases or shortwave radiative flux reductions are effectively convolutions of infinitesimally small abrupt changes [Good et al., 2011], our results are applicable to more realistic scenarios. We do note that our results may be quantitatively different for different greenhouse gas profiles and methods of uniform solar geoengineering. Other potential investigations could include dependence of these results on the type of shortwave forcing, e.g., determining differences between solar reductions and sulfate aerosol injections.
Bony et al.  obtained similar results to ours for an increase in CO2, namely that a large part of the tropical precipitation response to CO2 is a rapid adjustment, independent of surface warming. They concluded that tropical circulation changes under increased CO2 have a large rapid adjustment component, and thus offsetting global temperature changes, as in G1, will not fully compensate for precipitation changes due to CO2. Although our equation (9) divides the precipitation response into two components that are not quite comparable to the divisions made by Bony et al., we arrive at a similar conclusion; the feedback response of ∆Q + ∆H in G1 is small, meaning the long-term precipitation levels are lower than those of piControl. Our conclusions show that this precipitation suppression is primarily due to changes in evaporation, although as we stated in section 5, our explanations do not include potential changes in the Hadley circulation and extratropical moisture transport. Further analysis is needed to determine the exact nature of this difference. Although Hadley circulation changes in response to CO2 forcing have been analyzed [e.g., Rind and Rossow, 1984; Lu et al., 2007; Hu and Fu, 2007; Johanson and Fu, 2009], a thorough comparison of the Hadley circulation changes in abrupt4xCO2 and G1 would make a nice complement to our work.
 One source of uncertainty in our results is due to the CO2 physiological effect. Although we have evidence to suggest that this effect is important, we did not conduct sufficient simulations to quantify this effect in all participating models. This effect will be stronger in boreal summer, potentially affecting the seasonal cycle of radiation changes and responses to those changes, and seems to also play an important role in summer NH midlatitudes [Tilmes et al., 2013]. Moreover, the CO2 physiological effect promotes land-sea temperature contrasts [Joshi and Gregory, 2008; Cao et al., 2012; Tilmes et al., 2013]; it would be useful to determine the degree to which our findings regarding land-sea contrasts in energy are affected by this process.
 The results we present should not be mistaken as advocacy for geoengineering or any particular scheme therein. Although scientific information will be an essential part of the decision making process, it should not be the only consideration in evaluation of geoengineering proposals.
 We thank three anonymous reviewers for their helpful comments in improving the manuscript. We also thank all participants of the Geoengineering Model Intercomparison Project and their model development teams, CLIVAR/WCRP Working Group on Coupled Modeling for endorsing GeoMIP, and the scientists managing the Earth System Grid data nodes who have assisted with making GeoMIP output available. We acknowledge the World Climate Research Programme's Working Group on Coupled Modelling, which is responsible for CMIP, and we thank the climate modeling groups for producing and making available their model output. For CMIP, the U.S. Department of Energy's Program for Climate Model Diagnosis and Intercomparison provides coordinating support and led development of software infrastructure in partnership with the Global Organization for Earth System Science Portals. Ben Kravitz is supported by the Fund for Innovative Climate and Energy Research (FICER). The Pacific Northwest National Laboratory is operated for the U.S. Department of Energy by Battelle Memorial Institute under contract DE-AC05-76RL01830. Simulations performed by Ben Kravitz were supported by the NASA High-End Computing (HEC) Program through the NASA Center for Climate Simulation (NCCS) at Goddard Space Flight Center. Timothy Andrews was supported by the Joint DECC/Defra Met Office Hadley Centre Climate Programme (GA01101). Duoying Ji and John C. Moore thank all members of the BNU-ESM model group, as well as the Center of Information and Network Technology at Beijing Normal University for assistance in publishing the GeoMIP data set. Alan Robock is supported by NSF grants AGS-1157525 and CBET-1240507. Helene Muri was supported by the EuTRACE project, the European Union 7th Framework Programme grant 306395. Jón Egill Kristjánsson, Ulrike Niemeier, and Michael Schulz received funding from the European Union's Seventh Framework Programme (FP7/2007-2013) under grant agreement 226567-IMPLICC. Jón Egill Kristjánsson received support from the Norwegian Research Council's Programme for Supercomputing (NOTUR) through a grant of computing time. Simulations with the IPSL-CM5 model were supported through HPC resources of [CCT/TGCC/CINES/IDRIS] under the allocation 2012-t2012012201 made by GENCI (Grand Equipement National de Calcul Intensif). Duoying Ji and John C. Moore thank all members of the BNU-ESM model group, as well as the Center of Information and Network Technology at Beijing Normal University for assistance in publishing the GeoMIP data set. The National Center for Atmospheric Research is funded by the National Science Foundation. Shingo Watanabe was supported by the Innovative Program of Climate Change Projection for the 21st century, MEXT, Japan. Computer resources for Philip J. Rasch, Balwinder Singh, and Jin-Ho Yoon were provided by the National Energy Research Scientific Computing Center, which is supported by the Office of Science of the U.S. Department of Energy under Contract DE-AC02-05CH11231.