Vertical structure of cloud radiative heating in the tropics: Confronting the EC-Earth v3.3.1/3P model with satellite observations

. Understanding the coupling of clouds to large-scale circulation is one of the grand challenges for the global climate research community. In this context, realistically modelling the vertical structure of cloud radiative heating/cooling (CRH) in Earth system models is a key premise to understand this coupling. Here, we evaluate CRH in two versions of the European Community Earth System Model (EC-Earth) using retrievals derived from the combined radar and lidar data from the CloudSat and CALIPSO satellites. One model version is also used with two different horizontal resolutions. Our study evaluates large-5 scale intraseasonal variability in the vertical structure of CRH and cloud properties and investigates the changes in CRH during different phases of the El Niño Southern Oscillation (ENSO), a process that dominates the interannual climate variability in the tropics. EC-Earth

Abstract. Understanding the coupling of clouds to largescale circulation is one of the grand challenges for the global climate research community. In this context, realistically modelling the vertical structure of cloud radiative heating (CRH) and/or cooling in Earth system models is a key premise to understand this coupling. Here, we evaluate CRH in two versions of the European Community Earth System Model (EC-Earth) using retrievals derived from the combined radar and lidar data from the CloudSat and Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observation (CALIPSO) satellites. One model version is also used with two different horizontal resolutions. Our study evaluates large-scale intraseasonal variability in the vertical structure of CRH and cloud properties and investigates the changes in CRH during different phases of the El Niño-Southern Oscillation (ENSO), a process that dominates the interannual climate variability in the tropics.
EC-Earth generally captures both the intraseasonal and meridional pattern of variability in CRH over the convectively active and stratocumulus regions and the CRH during the positive and negative phases of ENSO. However, two key differences between model simulations and satellite retrievals emerge. First, the magnitude of CRH, in the upper troposphere, over the convectively active zones is up to twice as large in the models compared to the satellite data. Further dissection of net CRH into its shortwave and longwave components reveals noticeable differences in their vertical structure. The shortwave component of the radiative heating is overestimated by all model versions in the lowermost troposphere and underestimated in the middle troposphere. These over-and underestimates of shortwave heating are partly compensated by an overestimate of longwave cooling in the lowermost troposphere and heating in the middle troposphere. The biases in CRH can be traced back to disagreement in cloud amount and cloud water content. There is no noticeable improvement of CRH by increasing the horizontal resolution in the model alone. Our findings highlight the importance of evaluating models with satellite observations that resolve the vertical structure of clouds and cloud properties.
as the Intertropical Convergence Zone, can reach up to 90 % cloud cover, while over deserts and parts of the open ocean, cloud cover can be as low as 20 % when averaged over time.
In addition to playing an essential role in the hydrological cycle, clouds are crucial in regulating Earth's radiative balance (Stephens, 2005). By reflecting incoming solar (shortwave) radiation, they increase the planetary albedo, contributing to the cooling of Earth. At the same time, clouds absorb thermal (longwave) radiation and re-emit energy to space from cloud tops at a lower temperature than the surface, contributing to the warming of Earth. The absorption and emission of longwave radiation of clouds, and also of different atmospheric gases, are usually referred to as the greenhouse effect. The net result of radiation interaction with clouds varies strongly with time, location and cloud type.
The distribution of heating from clouds in space and time is an essential driver of circulation in the ocean and the atmosphere (e.g. Slingo and Slingo, 1988;Randall et al., 1989;Sherwood et al., 1994). Meridional differences in cloud radiative forcing, where tropical clouds have a stronger positive forcing compared to midlatitude clouds, enhance meridional temperature gradient and therefore impact the Hadley circulation (Sherwood et al., 1994;Raymond, 2000). Similarly, zonal differences in the tropics between convective and non-convective zones impact the zonal overturning eddies, such as the Walker circulation (Sherwood et al., 1994). In the tropics, the cloud radiative heating (CRH) can influence troposphere-to-stratosphere transport (Corti et al., 2006;Johansson et al., 2019). On a smaller scale, radiative heating can alter temperature profiles inside clouds, hence creating buoyancy-driven turbulence within the cloud (Ackerman et al., 1988;Wood, 2012).
El Niño-Southern Oscillation, or ENSO, is the major source of interannual climate variability in the tropics. This variability is due to variations in the strength of the easterly trade winds, known as the Walker circulation, that modify the sea surface temperature (SST) pattern across the Pacific, leading to a zone of strong convection over the western Pacific. At the same time, marine stratocumulus clouds will prevail over the eastern Pacific. During an El Niño, trade winds weaken, or even reverse, with a significant effect on the cloud distribution over the Pacific. Furthermore, the effects of ENSO have been shown to spread far beyond the Pacific Ocean (Madenach et al., 2019, and references within). The opposite, when the trade winds are enhanced, is usually referred to as La Niña.
Clouds and radiation are described differently in different climate models. However, they all have in common that they need some sort of parameterisation to resolve the subgrid structure of clouds. Inadequacies in how this is done increase uncertainty of the modelled climate. Exarchou et al. (2017) found that unrealistically low cloud cover in the European Community Earth System Model (EC-Earth) creates a warm SST bias over the tropical Atlantic. The same study also found that an increase in horizontal resolution did not reduce this SST bias. On the other hand, Hourdin et al. (2013) found that an increase in horizontal resolution in the IPSL-CM5A coupled model led to an improved cloud cover. This ambiguousness can also be found in Prodhomme et al. (2016), who found that an increased horizontal resolution in an earlier version of EC-Earth improved the representation of the Indian monsoon, while there was no improvement for the African monsoon.
The importance of realistic observation data for model development, evaluation and tuning has been pointed out in several studies (McFarlane et al., 2007;Mauritsen et al., 2012;Bojinski et al., 2014). Traditionally, observation datasets have either had poor spatial coverage, for example, data from field campaigns, or no or insufficient vertical information, such as data from many passive satellite sensors. Therefore, the evaluation of radiation in models usually focuses on the top of the atmosphere (TOA) (Thomas et al., 2019). This lack of vertical observations is dramatically improved with the deployment of CloudSat and CALIPSO (Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observation) satellites. The cloud radar aboard CloudSat can provide detailed information on the vertical structure of clouds, while CALIPSO detects even subvisual cirrus clouds. The data from CloudSat and CALIPSO have proven useful for evaluating climate models (e.g. Jiang et al., 2012;Li et al., 2013;Su et al., 2013;Zelinka et al., 2018;Voigt et al., 2019). Cesana et al. (2019) used the data from Cloud-Sat and CALIPSO to investigate the vertical heating rates from a multimodel experiment. They found that the misrepresentation of clouds in the models was the leading cause of differences in vertical heating rates between the observations and models. Studies like this underline the importance of carrying out process-oriented model evaluations.
In this study, we aim to compare the vertical structure of clouds and CRH in the tropics from the global climate model (EC-Earth) with a combined dataset from the CloudSat and CALIPSO satellites sensors. We carry out both the statistical and process-oriented evaluations of the EC-Earth versions. The study will focus on evaluating variability in the vertical structure of CRH across both seasons and ENSO events. Two different versions of EC-Earth are used, and for one of these, we also employ two different horizontal resolutions: the default resolution and one higher to explore how resolution affects the CRH.
2 Data and method

Model
The atmospheric model of EC-Earth v3 is based on the Integrated Forecasting System cycle 36r4 (IFS CY36r4) from the European Centre for Medium-Range Weather Forecasts (ECMWF). EC-Earth v3 is a continuation of EC-Earth v2.3 used in CMIP5 (Hazeleger et al., 2012(Hazeleger et al., , 2013. Compared to v2.3, EC-Earth v3 has an updated microphysics scheme to, among other things, better represent mixed-phase clouds (Forbes et al., 2011). There is also a new convection scheme that increases the intraseasonal variability, leading to more intense convection over the continents (Bechtold et al., 2008) and a better representation of the daily convective cycle (Bechtold et al., 2013). Together with a new McRad radiation scheme, the convection scheme also allows for a more detailed representation of the interaction between radiation and subgrid clouds (Morcrette et al., 2008).
We use two different versions of EC-Earth v3; the first was used in the PRocess-based climate sIMulation: AdVances in high-resolution modeling and European climate Risk Assessment (PRIMAVERA) project, while the second, v3.3.1, was used for phase 6 of the Coupled Model Intercomparison Project (CMIP6). The later version (v3.3.1) uses a new surface/vegetation albedo scheme and an improved description of the indirect aerosol effect compared to the PRIMAVERA version.
For the PRIMAVERA version of EC-Earth, we use two different horizontal resolutions: T511L91 and T255L91. T511L91 is a high-resolution version, with a horizontal resolution of 0.35 • , i.e. ∼ 40 km at the Equator, while the T255L91 is the standard resolution with a horizontal resolution of 0.70 • , i.e. ∼ 80 km at the Equator. Both the standardand high-resolution versions use the tuning from the standard resolution, following the protocol of the intercomparison project (HighResMIP). EC-Earth v3.3.1 is only used with the standard resolution (T255L91). All versions use 91 vertical levels. The vertical levels are not equally distributed throughout the atmosphere. Instead, the resolution is highest in the lower part of the atmosphere and decreases as the altitude increases. However, to fit with the vertical resolution of the satellite observations, the output is interpolated by the model to a constant 480 m vertical resolution. Since one focus of this study is on the horizontal resolution, the time step for all model versions is set to 900 s, i.e. the time step usually used for T511L91. The model output is every third hour. The model simulations are performed as atmosphere only, i.e. with prescribed SSTs. The simulations with the PRIMAVERA versions use daily SSTs interpolated to the different resolutions, while v3.3.1 uses monthly SSTs. For brevity the high-resolution PRIMAVERA version is henceforth called EC-Earth3P-HR, the standard-resolution PRI-MAVERA is called EC-Earth3P, and v3.3.1 used for CMIP6 is referred to as EC-Earth3.

Satellite observations
The satellite observations used in the study combine observations mainly from CloudSat and CALIPSO. CloudSat carries a 94 GHz cloud profiling radar (CPR)  and CALIPSO carries the Cloud-Aerosol Lidar with Orthogonal Polarization (CALIOP) measuring at 532 and 1064 nm (Winker et al., 2009). They were both deployed in 2006 as part of the A-Train constellation (Stephens et al., 2002;L'Ecuyer and Jiang, 2010), where all satellites travel along the same path within just seconds to minutes. This setup allows for a dataset where measurements from instruments aboard different satellites easily can be combined. The 2B-FLXHR-LIDAR product Henderson et al., 2013) provides calculated radiative properties, the 2B-CLDCLASS-LIDAR product (Sassen et al., 2008) provides the vertical cloud mask, and 2B-CWC-RVOD (Austin et al., 2009) provides the cloud ice and liquid water content (IWC and LWC). These datasets have been used extensively for cloud studies in the tropics (e.g. Johansson et al., 2015Johansson et al., , 2019Matus and L'Ecuyer, 2017;Hartmann and Berry, 2017;L'Ecuyer et al., 2019;Hang et al., 2019).
The 2B-FLXHR-LIDAR product uses a two-stream radiative transfer model with 12 longwave bands and six shortwave bands. The state variables needed, e.g. temperature and specific humidity profiles, are obtained for each Cloud-Sat profile from ECMWF reanalysis data, available from the ECMWF-AUX dataset. Various CloudSat and CALIPSO products provide cloud and aerosol properties. CloudSat cannot provide direct information on the phase of the cloud hydrometeors. Instead, this retrieval relies on temperature profiles from the ECMWF-AUX dataset together with data from the MODIS instrument aboard Aqua, which introduces a large uncertainty in the IWC data (Devasthale and Thomas, 2012).

Method
To evaluate the vertical structure of clouds in the EC-Earth model, and the corresponding CRH, we use data from 4 years of CloudSat and CALIPSO data: January 2007 to December 2010. The model simulations start in 2005, and all model versions were run for 6 years until 2010; 2005 and 2006 are considered as spin-up time and are excluded from the analysis. Furthermore, December 2009 is also excluded due to a lack of satellite data for this month. The 4 years are not enough to investigate interannual variability but should be sufficient for carrying out a statistical evaluation considering the Atmospheric Model Intercomparison Project (AMIP)type simulations. We focus on the tropical region (30 • S and 30 • N) and evaluate the four seasons, December-February, March-May, June-August and September-November, separately.
Note that the satellite simulator for evaluating heating rates in EC-Earth is currently not available. CloudSat and CALIPSO pass the Equator at roughly 13:30 local time (LT) during daytime, so we linearly interpolated the model results from the two nearest 3-hourly outputs to fit the satellite overpass time. The time-interpolated data are then used to calculate the seasonal means for all comparisons shown later. This time interpolation together with the ability of the active satellite instruments to detect thin clouds reduces the need for satellite simulators otherwise commonly used for passive 4090 E. Johansson et al.: Vertical structure of cloud radiative heating in the tropics instruments (see, e.g. . However, when using data from early afternoon (∼ 13:30 LT), when the incoming shortwave radiation is close to its peak, the contribution of shortwave radiation to the total heating is emphasised.
The satellite data are projected on a 1 • by 1 • longitudelatitude grid while retaining the native 240 m vertical resolution. Due to ground clutter contamination in the Cloud-Sat data, the lowest 750 m are not shown in the comparison. When the differences between the different data and model outputs are calculated, the dataset with higher resolution is averaged to the lower resolution. For both the satellite retrievals and the model output, the CRH is calculated by subtracting the shortwave and longwave clear-sky values from the cloudy sky values (in models typically referred to as "allsky") (Johansson et al., 2015).
where SWHR is the shortwave heating rate and LWHR is the longwave heating rate. A two-sided Student t test is used on the monthly mean values and the 95 % confidence interval is highlighted with black dots in the figures. We also did a Mann-Whitney rank test with similar results to the Student t test, and these results are therefore not shown. Even so, the small sample size, especially for the ENSO study, will limit the interpretation of the statistical test.
The cloud water content in EC-Earth is given in kg kg −1 , while the satellite dataset provides the water content in g m −3 . We therefore need to recalculate the water content from the model by multiplying with density: where WC is the cloud water content (either ice or liquid) and ρ is the density. ρ is calculated from the ideal gas law (Holton and Hakim, 2012, chap. 2.9): and where p is the pressure, T v is the virtual temperature, T is the temperature, q v is the specific humidity, and R d and R v are the gas constant for dry air and water vapour. We use the constants 287.04 and 461 J kg −1 K −1 for R d and R v , respectively, while the model is providing the other variables for each vertical level. The phase of the ENSO is obtained from the National Oceanic and Atmospheric Administration (NOAA; see https://origin.cpc.ncep.noaa.gov/products/analysis_ monitoring/ensostuff/ONI_v5.php, last access: July 2020). The ENSO index is based on SST anomalies over the Niño3.4 region (5 • N-5 • S, 120-170 • W). The phases are based on a threshold of +0.5 • C (−0.5 • C) for positive (negative) ENSO relative to a 30-year period. The two phases are henceforth referred to as ENSOP (positive) and ENSON (negative). The months with positive ENSO (10 months) are averaged for the ENSOP analysis and similarly for the month with ENSON (22 months). The mean value for all months during the 4 years is then subtracted from the ENSOP and ENSON to create anomalies. Since the impact of ENSO is largest close to the Equator, we only use model and satellite data between 15 • S and 15 • N for this analysis.

Results
The results are organised as follows. In Sect. 3.1, we provide a statistical comparison of CRH between the observations and EC-Earth, and in Sect. 3.2, the process-oriented comparison is presented where we focus on cloud variability associated with ENSO.

Meridional average
In this section, we investigate the seasonal vertical CRH in the tropics. Figures 1-4 all show average values, or average differences, over ±30 • latitude divided into the four seasons. Figure 1 shows the vertical structure of CRH derived from the satellite observations. During all seasons, clouds have a net heating effect in the upper troposphere. Close to the Equator, the Intertropical Convergence Zone constitutes the rising branch of the Hadley cell. This zone has a prevalent cloud cover with small seasonal variations within the ±30 • latitude band and will therefore contribute to CRH throughout the year. Over the warm tropical waters, large convective systems exist and these clouds will generate strong CRH. This CRH is especially pronounced at higher altitudes during seasons when the convection is most active. The highest ocean surface temperatures are found in the western Pacific and eastern Indian Ocean (sometimes referred to as the tropical warm pool; 70-160 • ) and the convective cloud systems here contribute to the radiative heating (1.5 K d −1 ) with a small seasonal cycle. In DJF and MAM, during the rainy period over south-central Africa (340-45 • ), there is strong CRH (1.5 and 1 K d −1 , respectively) compared to 0.5 K d −1 during the dry season (JJA). The signature of the South Asian monsoon (∼ 90 • ) is also visible in the CRH (1.5 K d −1 ) during JJA and SON (also see Johansson et al., 2015). During the SON months, the intense but local CRH (1.5 K d −1 ) over South and Central America (280-315 • ) also stands out.
West of the continents, cold upwelling water creates vast areas with marine stratocumulus clouds that are present on average 60 % of the time. These clouds generate the sloping wedges of low-level radiative cooling seen in the lower troposphere, mostly below 2 km, with maxima sloping down towards the west coast of the continents at low altitude. Marine stratocumuli located in the Southern Hemisphere have a seasonal cycle with peaks in cloud fraction in August-October (Wood, 2012), leading to intense cooling (−1.5 to −2 K d −1 ) in JJA and SON close to South America and Africa (see Fig. 1c-d).
We now explore if the high-resolution version of EC-Earth can simulate the large-scale CRH features retrieved from satellite data. Similar to Fig. 1, Fig. 2a-d show the CRH as it is simulated in EC-Earth3P-HR, while Fig. 2e-h show the differences between the simulation and the satellite observations.
EC-Earth3P-HR captures the pattern of both meridional and seasonal variability in CRH, visible in the satelliteretrieved data. For example, the pronounced CRH rates over the warm pool region, over South and Central America during the SON months, and the Asian monsoon in JJA, are present in the EC-Earth3P-HR results. In the lower troposphere, the net cooling at the top of the marine stratocumuli, more pronounced in JJA and SON, is also captured by the model.
There are, however, noticeable differences between the satellite retrievals and the model simulations. First, within most parts between 10 and 15 km, the magnitude of the CRH is much stronger in EC-Earth3P-HR, almost twice as high as in the satellite observations. The seasonally averaged CRH from the model-simulated convection sometimes reaches above 2 K d −1 , while in the satellite data, it typically stays around 1 K d −1 . This overestimate by the model occurs over all convectively active regions, and the CRH is also overestimated in the stratocumulus regions, where the modelled cooling is too weak. The second striking disagreement between the model and observations relates to the vertical structure. The modelled CRH is vertically located in the upper troposphere, predominantly 12-14 km, where convective outflow and detrainment typically occur. In the middle troposphere, the CRH from the model simulations is weaker than in the observations. It should be noted that this disagreement is visible even though the satellite observations are matched to the interpolated CRH values from the nearest 3-hourly time steps in the model simulations. Figure 3 address the question of whether the highresolution version of EC-Earth offers any improvement when compared to its standard counterpart, showing the difference in CRH between EC-Earth3P-HR and EC-Earth3P. Over the American and the African continents, there are considerable differences for the simulations with a lower resolution. When the convection is strong, (Hart et al., 2019) the CRH in EC-Earth3P-HR is 0.5 K d −1 higher compared to EC-Earth3P. During the dry period (JJA), the differences are reduced but still reach up to 0.3 K d −1 . Similarly, when the Indian monsoon is at its peak, during JJA, the CRH is larger in EC-Earth3P-HR than in EC-Earth3P. Even though the convection over the western Pacific and the eastern Indian Ocean is persistently active, there are only small differences between the two model versions over this area.
The difference in CRH between EC-Earth3 and EC-Earth3P is shown in Fig. 4. EC-Earth3 has a slightly higher CRH over the American continent for all seasons (0.3-0.4 K d −1 ) and for the western Pacific Ocean in MAM (0.2 K d −1 ). On the other hand, EC-Earth3P has slightly higher CRH over the Indian Ocean, especially during SON. The maritime stratocumulus regions have slightly higher CRH in EC-Earth3P than in EC-Earth3. The differences are in general small, with low significance, but both EC-Earth3 and EC-Earth3P are closer to the satellite observations than EC-Earth3P-HR, despite the higher horizontal resolution in the latter. It is important to remember that the high-resolution version of PRIMAVERA uses the same tuning as the standard resolution, which may affect its performance.  Fig. 1 but showing (a-d) the vertical structure of cloud radiative heating from the high-resolution EC-Earth (EC-Earth3P-HR) and (e-h) the difference in cloud radiative heating, between CloudSat/CALIPSO observations (Fig. 1) and EC-Earth3P-HR (EC-Earth3P-HR minus CloudSat/CALIPSO). Statistically significant differences, at the 95 % confidence using a Student t test based on monthly mean values, are marked with black dots (e-h).

Evaluation of the individual shortwave and longwave components of the total CRH
We further explore the vertical structure of CRH, while focusing on the individual shortwave and longwave heating components (Figs. 5 and 6). Figure 5 shows the meridional and vertical structure of the shortwave and longwave components, while Fig. 6 shows the same when averaged over the entire tropics zonally and meridionally. Both figures show the annual averages.
Examining the vertical structure of the shortwave and longwave components of CRH reveals clear differences. In the lower troposphere (up to about 2 km), in the areas dominated by the stratocumulus and stratus clouds over the oceans, all model versions underestimate shortwave cooling at the cloud tops as well as in-cloud radiative heating (0.2 K d −1 difference). The shortwave heating is also strongly underestimated in the middle and upper troposphere (up to 12 km) by ∼ −0.4 K d −1 . Above 12 km, the differences are negligible. These shortwave over-and underestimates are to some extent compensated in the longwave spectrum by overestimated cooling in the lowermost troposphere and heating in the middle-to-upper troposphere. The resulting net CRH shows stronger heating for the satellite ∼ 0.4 K d −1 ) between 2 and 10 km compared to the models (∼ 0.2 K d −1 ), while the net CRH in the upper troposphere (between 10-14 km) is higher in the models (1 K d −1 ) compared to the observations (0.5 K d −1 ). This large difference in the upper troposphere is mainly due to the strong overestimate of longwave heating by the models.

Potential reasons behind the observed biases
In order to understand possible reasons behind the observed biases, we investigated the vertical structure of clouds in both the models and observations. Note that the model means are based on 3-hourly data that are interpolated and matched in time with the local satellite overpass times (as mentioned in Sect. 2.3). Therefore, the differences arising from matching clouds at the different points of time in the diurnal cycles are expected to be low. We investigated the vertical structure of cloud fraction as well as cloud liquid water and ice content. Figure 7 shows that the models underestimate the cloud fraction as well as cloud liquid and ice water content in the lower and middle parts of the troposphere. This underestimate results in suppressed shortwave heating and longwave cooling in the middle troposphere in the models, thus, at least partly, explaining the biases observed in Fig. 6. It is interesting to note that even though the difference in cloudiness is substantial in the middle part of the troposphere between the models (0.05) compared to satellite (0.1), the difference in liquid water content is smaller which implies that the models have fewer but denser clouds compared to observations. An explanation for the models underestimating liquid and ice water content is that the models do not include the contribution from rain and snow. The underestimation of cloudiness in the lower part of the atmosphere by the models could cause more longwave radiation reaching the middle/high atmosphere, leading to more longwave absorption and heating compared to the satellite observations around 10 km (Fig. 6b). In the upper troposphere, although the models do have similar cloudiness as in the observations, the ice water content is much lower in the models (peaks at 0.002 g m −3 ) compared to observations (0.011 g m −3 ). This leads to a significant underestimate of cloud-top longwave cooling in the models in the upper troposphere (Fig. 6). The underestimate of cloudiness seen in EC-Earth and the corresponding underestimate of shortwave heating are in line with the results reported from previous studies with different cli- mate models or satellite data (e.g. Wang and Su, 2013;Cesana et al., 2019). In spite of better representation of subgrid scale SST variability and surface properties, the biases are enhanced in the high-resolution version of the EC-EARTH model. This may be due to the fact that, following the High-ResMIP protocol, both the standard and high-resolution versions employ the same tuning parameters which likely results in an enhanced hydrological cycle in the high-resolution version of the model.

Meridional average
Here, the CRH response to the positive and negative phases of ENSO (ENSOP and ENSON) is investigated. The CRH anomalies relative to the mean of the investigated period are averaged between latitude ±15 • and are displayed in Figs. 8 and 9. For the ENSO analysis, we will only focus on EC-Earth3, i.e. the version used for CMIP6, as the differences between the model versions are relatively small.  The observed ENSO-driven CRH anomalies from the satellite observations are shown in Fig. 8. The meridional changes in deep convection in response to the shifts in the Walker circulation during ENSO phases are clearly visible in the CRH anomalies. During ENSOP, trade winds over the Pacific weaken, allowing a surge of warm water eastwards, leading to colder SST in the western Pacific Ocean, while the central and eastern Pacific will experience warmer-thanusual SST (see Timmermann et al., 2018). The increase in SST leads to additional and more vigorous convection. These will, in turn, generate stronger atmospheric radiative heating (0.75 K d −1 ) in the central Pacific atmosphere. Over the western Pacific, the decrease in SST will instead generate less convection, leading to a decrease in the CRH (−0.5 K d −1 ). In contrast, for ENSON, the surface water in the western Pacific and eastern Indian Ocean is warmer than usual, while the central and eastern parts of the Pacific Ocean are colder than usual. This leads to an increase of CRH with 0.25 K d −1 over the western Pacific and eastern Indian Ocean and a de-crease with −0.25 K d −1 over the central Pacific Ocean. The response to ENSON is expected to be smaller than the response to ENSOP when compared to the average since EN-SON is an enhancement of the normal mode.
ENSO also has implications for clouds over the Atlantic Ocean. Madenach et al. (2019) found that close to the Equator, high clouds in the Atlantic decreased during ENSOP and increased during ENSON, while the opposite was observed for low-level clouds. For ENSOP, the CRH decreases by −0.5 K d −1 in the Atlantic middle and high troposphere and the radiative cooling due to the maritime stratocumulus clouds outside Angola increases with −0.75 K d −1 . Figure 9a-b show the vertical structure of CRH for the EC-Earth3 simulation, and Fig. 9c-d show the anomaly differences between EC-Earth3 and satellite observations. While the shift in the Walker circulation and the sign of the CRH anomalies are captured in the EC-Earth3 simulation, there are again some striking differences compared to the satellite data. The magnitudes of cloud radiative heating and cooling  rate anomalies are almost 2 times larger in the EC-Earth3 simulation in the active regions of ENSO. The CRH anomalies in the model are mostly restricted to the upper troposphere, whereas in the satellite observations, the entire troposphere experiences changes in the CRH. The maritime stratocumulus regions off the coasts of South and Central America show a similar behaviour to that in the satellite data, while the changes in CRH west of Africa are absent in the model. Over the Atlantic Ocean, there is a cooling (−0.5 K d −1 ) above 10 km during ENSOP, while the result for ENSON is close to neutral.
Both the Niño3 and Niño4 areas experience large SST variability during ENSOP and ENSON periods and are therefore useful to investigate in more detail. This will further help to interpret the differences observed in Fig. 9. The vertical structure of CRH anomalies during both ENSOP and ENSON, separated into its shortwave and longwave components, are plotted in Fig. 10 for Niño4 and Fig. 11 for Niño3, while the anomalies for the cloud properties are plotted in Figs. 12 and 13,similar to Figs. 6 and 7. During ENSOP, the model shows a strong increase in shortwave heating peaking at 12 km in the Niño4 area with anomalies reaching 0.7 K d −1 (Fig. 10c). This anomalous heating in the model is up to twice as large as for the satellite data, showing a peak in shortwave anomalous heating at 0.4 K d −1 . Furthermore, in the model, the peak in the shortwave anomaly is restricted vertically to the uppermost troposphere, while in the satellite data, increased shortwave heating during ENSOP is visible both in the middle and upper troposphere. This result can be explained by the fact that the vertical cloud distribution in the model is predominantly restricted vertically to the uppermost troposphere, while in the observations, large cloud variability is also observed in the middle and lower troposphere (Fig. 12c).
The most considerable disagreement between the satellite observations and the model is seen in the longwave component of CRH in the upper troposphere (Fig. 10b). Here, the satellite data show a clear decrease in longwave heating with increasing altitude, mainly due to strong longwave cooling at the tops of the extensive convective and stratiform clouds and the optically thick cirrus. In the model simulations, the CRH anomaly continues to increase with height and then changes sign abruptly compared to the observations at around 14 km. As a result of these overestimations of both shortwave and longwave heating, the net CRH anomaly in the model (1 K d −1 ) is more than 2 times higher compared to observations (0.4 K d −1 ) in the upper troposphere in ENSOP for the Niño4 region.  As the Walker circulation is enhanced during the ENSON phase, the reduction in convection and associated clouds lead to a reduction in CRH in the upper troposphere over the Niño4 region (Fig. 10d-f). In this case, although the reduced shortwave heating (peak at −0.4 K d −1 ) is captured relatively well by the model, the magnitude of the reduction in longwave heating (−0.3 K d −1 ), in the model, is large enough to result in a net CRH anomaly that is significantly lower compared to the observations (−0.6 compared to −0.4 K d −1 ). Over the Niño3 region, the CRH and cloud property anoma-lies are low both in the observations and model simulations during both phases of the ENSO (Figs. 11 and 13).
Overall, the model tends to underestimate the anomaly in cloud ice water content and overestimate the anomaly in liquid water content for both phases of ENSO over both the Niño4 and Niño3 areas (Figs. 12 and 13). The variability in the satellite observations is however large for both liquid and ice water content compared to the model investigated here.

Conclusions
In the past, cloud radiative forcing in climate models has mainly been evaluated at the top of the atmosphere or the surface since the net fluxes are more readily observed there, either by satellite or by surface instruments (e.g. Thomas et al., 2019). A rigorous evaluation of the vertical structure of cloud radiative heating/cooling has only been possible in the last few years as the retrievals from the combined active radar and lidar sensors aboard CloudSat and CALIPSO satellites have matured enough to allow a quantitative analysis (Cesana et al., 2019). Understanding the vertical structure of CRH and evaluating climate models from this aspect is especially important in the tropics. In this region, the CRH does not only impact the zonal and meridional temperature gradients, and thereby influence the atmospheric circulation, but it also influences the troposphere-to-stratosphere transport.
In this study, we therefore investigated two versions of the EC-Earth climate model, where one version was used with two different horizontal resolutions (EC-Earth3P-HR and EC-Earth3P). In addition to a traditional statistical comparison, we also carried out a more process-oriented evaluation by examining how the latest version of the EC-Earth model simulate CRH during different phases of ENSO. The following conclusions can be drawn from the evaluations: a. Compared to the satellite data, all versions of EC-Earth capture the general structure of the seasonal and spatial variability in net CRH over both the convectively active regions and the maritime stratocumulus regions.
b. The shortwave component of the radiative heating is overestimated by all model versions in the lowermost troposphere and underestimated in the middle troposphere. In the upper troposphere, the differences in shortwave heating are negligible. These over-and underestimates of shortwave heating are partly compensated in the models by an overestimate of longwave cooling in the lowermost troposphere and heating in the middle and upper troposphere.
c. There are two noticeable differences in the net CRH between EC-Earth (EC-Earth3P-HR) and the satellite retrievals. First, the magnitude of net CRH (above 2 K d −1 ) is much stronger in the model in the upper part of the troposphere over convectively active zones, almost twice as high as in the satellite observations. Second, the net CRH in the models is vertically limited to the upper troposphere, predominantly between 12-14 km, whereas the satellite observations also show pronounced heating in the middle troposphere. This disagreement is the largest in EC-Earth3P-HR.
d. There are substantial differences in the vertical structure of cloud fraction and cloud water content between the models and observations. In the upper part of the troposphere, the cloud fraction is similar but the models have less ice water content. Just as shown by earlier studies, such as Cesana et al. (2019), the models underestimate the cloud fraction in the lower and middle parts of the troposphere. The differences in cloud fraction and cloud water content are vital in understanding the disagreement in the magnitude and vertical distribution of the CRH between the models and the observations. e. The spatial CRH variability associated with the ENSO phases and shifts in the Walker circulation is also reasonably captured by the models. However, the differences in the magnitude and vertical structure of the CRH between the model and satellite data mentioned above remain or even increase.
Our results highlight the importance of having satellite observations that resolve the vertical structure of clouds for evaluating climate models and the importance of realistically simulating the vertical structure of cloud properties. We could, however, only notice negligible differences in the simulation of vertical cloudiness and CRH over most parts of the tropics when changing the horizontal resolution in EC-Earth. An increase in the vertical resolution could potentially further improve the representation of clouds and CRH in the models, and such an investigation would be of interest in a prospective study. A longer time series from the observations, especially for the ENSO analysis, would be preferable for future studies.
Author contributions. EJ ran the model simulations and did the subsequent analysis and drafted the manuscript. AD, MT and AMLE were all part of designing the study. KW provided valuable input for running the model and added a climate modeller's perspective, while TL'E provided insight on the CloudSat data. All the co-authors contributed to the interpretation of the results and review of the manuscript.
Competing interests. The authors declare that they have no conflict of interest.
Disclaimer. Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Acknowledgements. The EC-Earth simulations for this publication were enabled by resources provided by the Swedish National Infrastructure for Computing (SNIC) at NSC. We are grateful to the CloudSat Data Processing Center (DPC) and Science Teams for providing CloudSat datasets.
The article processing charges for this open-access publication were covered by Stockholm University.
Review statement. This paper was edited by Jason Williams and reviewed by two anonymous referees.