3.1 GCMs capability in the historical period
The dominant atmospheric configurations over SSA presented in Figure 1a depict the 16 CPs of Z500 anomalies identified by Olmo and Bettolli (2021) through a SOM clustering. The CPs are topologically ordered in the SOM, with the corner patterns representing CPs that differ the most from each other. The CPs presented positive and negative structures that disturb the typical westerly flow of mid-latitudes. In the bottom SOM, anticyclonic centres (positive anomalies) mostly cover the domain, producing an upper-level ridge often centred in the southern Atlantic Ocean. In the middle-right SOM, negative Z500 anomalies were mainly observed in the Atlantic Ocean, with different intensity and location among CPs. When analysing the top-right SOM, wide negative centres positioned over the Atlantic Ocean entered the continent, while positive anomalies were located in the southern Pacific Ocean. In the case of the top-left SOM, an anomalous cyclonic centre affected the southern Pacific Ocean and southern tip of South America and an anticyclonic centre positioned over the Atlantic Ocean. This structure of negative anomalies over the Pacific Ocean allows the intrusion of cold and humid air from the south-west to southern Chile, while the positive anomalies in the Atlantic Ocean favours warmer and humid air from lower latitudes east of the Andes.
The spatial patterns of rainfall anomalies associated with each CP are illustrated in Figure 1b for the warm and cold seasons (left and right panels, respectively). The variety of configurations at the middle-level atmosphere represented in the SOM were able to differentiate precipitation structures in different areas of the domain. During the warm season, CPs in the top of the SOM enhanced rainfall over sectorised areas of SSA, from central Argentina to southern Brazil (from left to right in the SOM), following the shift of the Z500 structures to the east. In a previous study, these CPs were found to statistically enhance the occurrence of extreme rainfall events in areas like SESA (Olmo and Bettolli 2021). Whereas CPs at the bottom SOM typically depicted negative rainfall anomalies over SESA and positive anomalies in central and southern Argentina. West of the Andes, CP14 and CP13 were related to larger precipitation amounts in central and southern Chile, while CPs in the middle SOM tended to show negative rainfall anomalies over the region. During the cold season, negative anomalies were more predominant throughout most of SSA for the CPs at the top SOM - related to this season being drier in central SSA - and enhanced precipitation was seen for the bottom-right CPs.
In terms of model evaluation, the quantization errors when projecting the Z500 GCMs fields were first estimated for the historical and are available in Table S1 (see Supplementary Material). The errors found for the historical simulations were, in most cases, of the same order or less than those found for the reanalysis, so the synoptic patterns simulated by the GCMs were typically included within the ERA-Interim reanalysis data space. Only CNRM-CM5 and INMCM5 presented average quantization errors larger than in the reanalysis, but close to them anyways. The representation of this classification of CPs by the selected GCMs was then evaluated by studying the frequency of days distributed within the SOM in each model (Figure 2a). GCMs were generally able to capture the distribution of days for each CP as depicted by ERA-Interim, with larger frequencies at the bottom-right (as CP4) and top-left CPs (as CP13) in the SOM during both seasons of the year, between 9% and 11% of days in each case, although CPs located at the top-right SOM also showed high frequencies during the cold season. Models tended to underestimate the maximum frequencies in CP4 and CP13 for the warm and cold seasons, respectively, such as MPI-ESM-LR and CNRM-CM5. Other structures like CP9 and CP11 were usually overestimated, especially during the warm season. Note that, following the topological order of the SOM, the underestimations of specific patterns were typically balanced by overestimations of the neighbour nodes (and the other way around). This is due to models not capturing the exact differences between similar nodes, at least not in the way the ERA-Interim reanalysis depicts them.
Furthermore, the correspondence in this representation was quantified based on correlations between the CPs frequencies of ERA-Interim and each GCM (Figure 2b). Note that these correlation values are only taken as indicators of how well the models reproduce the frequency distribution among the SOM and are not considered as a robust statistical measure. Relatively high correlation values were found, usually between 0.5 and 0.75. No distinctive behaviour was detected between CMIP experiments or between seasons of the year, although the patterns at the top of the SOM showed significant correlations for most of the GCMs in the warm season (CP14-16), while the same was found for the patterns at the bottom of the SOM during the cold season (CP2-4). The lowest correlations were found in the CMCC-CMS and MPI-ESM-LR models during the warm season, while the highest correlations were found for NorESM1-M and CanESM5, always significant and of 0.76 and 0.73 in the cold and warm seasons, respectively.
In the following step, models were assessed in terms of how well they simulated the rainfall patterns over SSA associated with each CP. The analysis of these spatial patterns was synthesised through Taylor diagrams for the nodes at the corners of the SOM (CP1, CP4, CP13 and CP16 in Figure 3a) showing one point for each model and one square for each CMIP experiment ensemble. The spatial correlation and normalised standard deviation (SD) values depicted in these diagrams but for all the CPs were also illustrated as heatmaps (Figure 3b). Models underestimated the spatial variability of rainfall anomalies in SSA (since the cloud of points was always below the line of 1 SD) and generally presented low-to-medium correlations, although some models reached values of around 0.8 like NorESM2-LM in CP16 in the warm season. No clear differences were identified between seasons and CMIP experiments, although the Norwegian GCMs NorESM1-M from CMIP5 and NorESM2-LM and NorESM2-MM from CMIP6 typically showed the highest correlation values among CPs (significant in most of the cases). In terms of SD, CanESM2 (NorESM2-MM) exhibited the smallest differences with the reference dataset for the warm (cold) season, while CP9 was the most underestimated during the warm season. CMIP6 models seemed to show less intensity differences in the CP structures, as they were found to be more significantly similar to the observations in terms of their spatial variance (marked with asterisks in the heatmap). In addition, the maps for CMIP5 and CMIP6 ensembles were illustrated in Figure S1 (Supplementary Material). As presented in the Taylor diagrams of Figure 3a, they showed large underestimations of the spatial variability -with reduced rainfall values over all the domain- probably due to these patterns being constructed as the average of the individual model anomalies. This strengthens the importance of assessing models individually and is valuable information for understanding model projections of rainfall as will be discussed later in the attributional analysis.
Thus, the different GCMs were able to identify the link between large-scale circulation and precipitation variability over SSA, although showing some limitations in reproducing the correct structures of rainfall anomalies and often differing among them as measured by the metrics analysed here.
3.2 CPs future projections
In a global warming scenario, atmospheric circulation may present dynamic and thermodynamic changes at a regional scale that can modulate precipitation variability and intensities. It is well known that large-scale variables -such as geopotential height and winds in the mid-level atmosphere- are generally better represented in GCMs than surface variables (Maraun and Widmann 2018), which is the motivation behind assessing precipitation changes and model spread based on a weather-typing approach. In this line, the temporal evolution of CPs frequencies for the near and late future periods (2041-2070 and 2071-2100, respectively) was analysed in terms of the percentage of change compared to the reference period 1986-2005 (Figures 4 and 5).
The quantization errors for the late-future period (2070-2100) are available in Table S1 (see Supplementary Material). As shown in the previous section, the errors found for the historical period were similar among GCMs and reanalysis. Furthermore, these errors were generally of similar value during the future scenarios, indicating an acceptable extrapolation of the reanalysis-trained classification of CPs for the late 21st century.
In the near future (Figure 4), CPs in the top row SOM -such as CP15 and CP16, depicting a dipolar structure of Z500 anomalies leading to a mid-level trough propagating to the east- are expected to become more frequent during the warm season, which is consistent among most of the GCMs from both CMIP5 and CMIP6 experiments used in this study. In these CPs, models presented more differences in the intensity of the changes, with changes near 15% in most of the simulations but up to 30% in MPI-ESM-LR. CPs in the bottom-left SOM generally showed reduced frequencies -like CP1 and CP2- in most of the GCMs, while the rest of the patterns in the SOM (such as CP7 and CP11) did not present clear and congruent changes among models. During the cold season, the frequency of CPs in the near future is more similar to the historical period than in the warm season. Changes in CPs frequency were more pronounced for CP2 and CP7 showing increases in many of the selected GCMs, particularly from the CMIP5 experiment. Moreover, CPs in the top of the SOM showed slight diminutions -larger for CP15 and CP16- mostly for the CMIP5 simulations.
In the late future (Figure 5), a reduced agreement was found among GCMs, both in the sign and the intensities of the changes in CPs frequencies, mostly during the warm season. For instance, the CPs located in the top SOM that presented increases for the near future (CP15 and CP12) show the largest number of models agreeing in the upward (downward) trends in the CP frequency, but notably differing in the magnitude of the change. However, most of the CMIP6 models showed reductions in their frequency, especially in CP16. Reductions were also found for CP12, but with larger agreement among simulations, which were nearly 30% in most of the cases and up to 50% in CanESM2. CPs at the bottom-left SOM tended to present increases in their frequency such as CP2, which was consistent especially in the CMIP6 experiment. Whereas the rest of the CPs showed both slight positive and negative changes among GCMs, of lower magnitude in CPs like CP4 and CP8. During the cold season, the agreement among models from both CMIP experiments was clearly larger, with CPs at the bottom-left SOM -depicting positive Z500 anomalies related to anticyclonic structures in most of SSA- presenting large increases compared to the reference period. Other CPs like the ones in the top of SOM, showing both cyclonic and anticyclonic centres of varied intensity and location over SSA, presented a reduction in their frequency that has consistency among GCMs, indicating, for instance, favourable large-scale conditions for less rainfall in some areas of central SSA and SESA during this season. Note, however, that precipitation in those regions could present increases anyway, which may be due to the contribution of other CPs during this season and will be discussed in following lines.
As described in Section 2.2, total precipitation changes for the late-future period (2070-2100) were decomposed into the contribution of changes in intrapattern variability, pattern frequency and a combined component where the larger agreement (or robustness) among GCMs was indicated with dots (Figure 6). Model ensemble was constructed by averaging the changes of individual simulations in each CMIP experiment. Focusing mainly over the continent, mean precipitation is expected to increase (decrease) over most of SSA east of the Andes (central and southern Chile), but particularly over southern SESA and mostly during the warm season. The intensity and robustness of these changes were larger for the CMIP5 set of models, whereas CMIP6 depicted even reductions in rainfall over SESA during the cold season (probably related to the decreasing frequency of structures like CPs in the top of the SOM), but with less agreement among simulations. Recall that models have some difficulties and differences when reproducing the link between the large-scale patterns and rainfall anomalies (as shown in Figure 3 and Figure S1), which may be related to the low agreement in precipitation future changes based on the CPs frequency component. The intrapattern variability component -that is, changes within the CPs themselves- frequently dominated the rainfall changes, as it presented a very similar pattern with the Total change. Recall that this component is due to changing characteristics of the related weather within the patterns (Cahynová and Huth 2016). They could be related to the varying intensity and shape of the systems of the different CPs and to other mechanisms beyond the synoptic scale. On the other hand, the other two components of the decomposition were of about one less order of magnitude and presented less agreement among GCMs. The pattern frequency change was related to a slight increase in rainfall during the warm season over southern SESA, especially in the CMIP5 set that depicted robust changes among the model ensemble. This could be related to the positive changes detected in the CMIP5 simulations for the frequency of patterns in the top of the SOM, such as CP15 and CP16. Whereas CMIP6 ensemble presented a decline in mean precipitation in northeastern SESA and in central and southern Chile during the cold and warm seasons, respectively, in line with results from Figure 5. Over the rest of SSA, sligh positive changes were detected in the cold season, but with no clear agreement among simulations. Note that the contributions from the last term (combined component) usually complemented with the pattern frequency change, partly cancelling each other, which is why the intrapattern variability dominated the future changes.
These results indicated that the expected changes in mean precipitation over SSA as depicted by these GCMs are not mainly due to a changing frequency of the CPs found in the SOM and could probably be related to other regional-to-local phenomena. Furthermore, even though a good agreement was found between GCMs for the near future -mostly in the sign of the changes- a considerable dispersion among the CPs projections was found by the end of the century. Since the agreement among simulations in the long-term changes of the CPs frequency is not large enough, it becomes difficult to infer robust results regarding the future link between the large-scale patterns and rainfall changes.