3.1 Basic precipitation characteristics
Before assessing the ability of RCMs to simulate LHPEs, it is important to evaluate how the RCMs reproduce basic characteristics of precipitation in the examined area. The seasonal precipitation amounts and seasonal 90th percentiles are presented in Fig. 3; the values for the western (eastern) part are displayed by circles (squares), and the colour indicates the driving GCM.
Winter precipitation amounts in E-OBS range between 64 and 333 mm depending on grid box. Mean over the grid boxes is 121 mm and this is almost the same in the western and the eastern parts. The spatial mean of the winter 90th percentile of daily amounts is 4.2 mm, with a range from 2.3 to 11.8 mm. All RCMs, excluding RACMO_ICHEC and REMO_CNRM, overestimate both seasonal precipitation amounts and the 90th percentile in winter. The overestimation probably relates to the large number of rainy days in RCMs (in some RCMs almost twice as many as in E-OBS, not shown) and enhanced intensity of precipitation (Prein et al. 2016).
In summer, the precipitation amounts and 90th percentiles are higher than in winter in E-OBS, ranging from 178 to 432 mm and from 6 to 14 mm, respectively, depending on grid box. The spatial pattern shows higher values in the eastern than the western part, which is not captured in some RCMs (e.g., CCLM). The difference is larger for the 90th percentile (7.9 mm in the western part while 8.6 mm in the eastern part in E-OBS), and this may be attributed to the more significant role of cyclones of Mediterranean origin in the eastern region. There are significant differences between the individual RCMs; several RCMs substantially underestimate both the precipitation amount and the 90th percentile (e.g., CCLM_HadGEM, COSMO_HadGEM) while WRF overestimates them. Overall, there is no general pattern of the bias for seasonal precipitation amounts, and the 90th percentile tends to be underestimated rather than overestimated by RCMs (Fig. 3).
3.2 Large-scale heavy precipitation events
The frequency of days with LHPEs is shown in Table 3 and their spatial structure in Fig. 4. The events occurring only in the western (eastern) part are displayed by circles (squares), while events occurring simultaneously in both regions are displayed by triangles.
Table 3
Seasonal frequency of days with LHPEs
| Frequency [%] DJF | JJA | | Frequency [%] DJF | JJA |
E-OBS | 6.9 | 6.3 | RCM mean | 5.2 | 4.7 |
CCLM_CNRM | 6.4 | 4.4 | WRF_CNRM | 5.4 | 2.2 |
CCLM_HadGEM | 6.5 | 5.9 | WRF_HadGEM | 4.8 | 2.3 |
CCLM_ICHEC | 6.2 | 5.4 | WRF_ICHEC | 5.3 | 2.7 |
CCLM_MPI | 6.2 | 5.3 | WRF_IPSL | 4.9 | 2.0 |
ALADIN_CNRM | 5.7 | 5.7 | WRF_NCC | 6.0 | 2.4 |
ALADIN_HadGEM | 5.5 | 5.8 | RACMO_CNRM | 5.7 | 5.3 |
ALADIN_MPI | 5.8 | 6.4 | RACMO_HadGEM | 5.8 | 5.5 |
ALADIN_NCC | 5.9 | 5.7 | RACMO_ICHEC | 5.6 | 6.0 |
HIRHAM_CNRM | 4.1 | 5.2 | RACMO_IPSL | 5.6 | 5.5 |
HIRHAM_HadGEM | 3.9 | 5.1 | RACMO_MPI | 5.9 | 5.9 |
HIRHAM_ICHEC | 4.2 | 5.5 | RACMO_NCC | 5.7 | 5.4 |
HIRHAM_IPSL | 3.6 | 5.0 | REMO_CNRM | 4.0 | 2.6 |
HIRHAM_MPI | 4.2 | 5.0 | REMO_IPSL | 3.5 | 3.4 |
HIRHAM_NCC | 4.1 | 4.6 | REMO_NCC | 5.0 | 2.8 |
COSMO_HadGEM | 5.8 | 5.7 | COSMO_MPI | 6.5 | 5.4 |
COSMO_ICHEC | 5.7 | 5.3 | COSMO_NCC | 5.9 | 4.6 |
In E-OBS, the winter frequency of all LHPEs is 6.9% and it is higher than in summer. This is associated with greater importance of frontal stratiform precipitation in the cold part of the year. All RCMs underestimate the frequency of LHPEs, the mean over all RCM simulations being 5.2%. The largest biases are found in HIRHAM simulations (3.6–4.2%, depending on the driving GCM) and for REMO driven by CNRM (4.0%) and IPSL (3.5%). If we look into the spatial structure in observations, there are fewer days with LHPEs occurring only in the eastern part (2.1%) than only in the western (2.4%) or simultaneously in both parts (2.4%). This may be due to a decreasing role of frontal precipitation related to Atlantic influences towards the east. All RCMs capture this pattern and simulate fewer LHPEs in the eastern than western part. The biases in winter are largest for events occurring simultaneously in both regions, the frequency of which is underestimated in all RCMs, most significantly in HIRHAM and REMO. This suggests that the RCMs tend to underestimate the spatial extent of LHPEs in Central Europe.
Summer frequency of all LHPEs is 6.3% in E-OBS (Table 3), and all RCMs except for ALADIN_MPI underestimate it. The lowest values are found in WRF (2.0–2.7%, less than half of the E-OBS values) and REMO (2.6–3.4%). All HIRHAM and some ALADIN simulations (driven by HadGEM and MPI) provide higher percentage of days with LHPEs in summer than in winter. Overall, this pattern, which contradicts observations, is found in 9 out of the 32 RCM simulations.
The spatial distribution of summer LHPEs in observations is as follows (Fig. 4): 2.7% occurring in the western part, 2.4% in the eastern part, and 1.2% simultaneously in both regions. All RCMs capture the relatively small percentage of events affecting the whole area simultaneously. However, some RCM simulations lead to more events in the eastern than in the western part (e.g., ALADIN, HIRHAM_HadGEM, HIRHAM_IPSL, WRF_IPSL, RACMO_NCC).
3.3 Atmospheric circulation types
Boxplots of the frequencies of circulation types are shown in Fig. 5. In the NCEP/NCAR reanalysis the most frequent winter circulation types or supertypes (cf. Section 2.3 and Table 2) are westerly (DIR_west, 24%), anticyclonic (A, 24%), nonwesterly (DIR_other, 17%), and anticyclonic-westerly (A_west, 12%). All RCMs overestimate the frequency of the westerly supertype. In RCM simulations driven by IPSL and NCC, the westerly supertype occurs on 35–40% of all days. On the other hand, the frequency of nonwesterly supertype is underestimated by all RCMs, with the largest underestimation found again in those RCMs driven by IPSL and NCC. Deficiencies, although with different magnitudes or sometimes even with different signs, were found also in frequencies of anticyclonic (A) and cyclonic (C) types. Some models underestimate the frequency of the anticyclonic type (e.g., WRF_IPSL, frequency 10%) and at the same time overestimate that of the cyclonic type (WRF_IPSL, 15.5%, which is more than twice compared to the reanalysis).
The most frequent summer circulation types and supertypes in the NCEP/NCAR reanalysis are anticyclonic (26%), nonwesterly (18%) and westerly (14%). The RCMs simulate summer circulation types fairly well, with less pronounced biases compared to winter. There is no circulation type that would be overestimated or underestimated by all RCMs. Some RCMs, mainly driven by MPI and NCC, overestimate the frequency of anticyclonic type while others, mainly driven by CNRM, underestimate it. Individual RCMs also overestimate frequencies of nonwesterly supertype (e.g., WRF_CNRM 28%, WRF_IPLS 33%). Several RCMs driven by MPI strongly overestimate the frequency of westerly supertype (CCLM_MPI 21%, HIRHAM_MPI 20%) while RCMs driven by HadGEM strongly underestimate it (COSMO_HadGEM and CCLM_HadGEM 5%).
3.4 Links between large-scale heavy precipitation and circulation
Frequencies of all circulation supertypes during winter LHPEs in the western and the eastern parts and simultaneously occurring in both regions are shown in Fig. 6. The first column stands for E-OBS, while the second shows ensemble means of all RCM simulations, and individual RCMs follow. In observations, winter LHPEs are connected mainly with westerly, cyclonic-westerly and cyclonic supertypes, frequencies of which are more than doubled compared to mean winter occurrence (cf. Table 2 and Fig. 6).
There are significant differences in the link of LHPEs to circulation between the western and the eastern parts in winter (Fig. 6). In observations, the events in the western part are mainly connected with westerly supertype (58%), cyclonic type (11%), and cyclonic-westerly supertype (11%), with nonwesterly supertype occurring infrequently during LHPEs (7%). Events in the eastern part are also linked to westerly supertype, but only in 38%, followed by cyclonic type (24%); nonwesterly and cyclonic-nonwesterly supertypes are more frequent (together 23%) than in the western part. Events occurring simultaneously in both parts are linked mainly to westerly supertype (65%).
The majority of RCMs reasonably well simulate differences in circulation-to-precipitation link between the western and the eastern parts during winter. Nearly all RCMs (except for WRF_NCC and RACMO_HadGEM) overestimate frequency of the cyclonic type during LHPEs in both parts. This overestimation is larger in the eastern part mainly in HIRHAM simulations (e.g., HIRHAM_IPSL 54%), CCLM_CNRM (45%) and RACMO_MPI (42%). In the western part, some RCMs underestimate the frequency of westerly supertype (e.g., HIRHAM_HadGEM at 41%, WRF_CNRM at 32%), most RCMs driven by CNRM overestimate the role of nonwesterly supertype (ALADIN_CNRM 10%, REMO_CNRM 12.5%), and several RCMs overestimate the role also of cyclonic-nonwesterly supertype (WRF_CNRM 12%, HIRHAM_MPI 11%). Many RCMs underestimate frequency of westerly supertype and overestimate frequency of cyclonic type during events simultaneously occurring in both parts (HIRHAM_ICHEC, REMO_IPSL).
Connections between summer LHPEs occurring in the western, eastern and both parts and circulation types are shown in Fig. 7. The differences between the western and the eastern parts are not so large in comparison to winter. In observations, LHPEs in the western part are linked mainly to cyclonic type (30%), while westerly and nonwesterly supertypes are represented with the same frequency (17%). Occurrence of cyclonic type during LHPEs is more than three times higher than mean summer frequency (Table 2). Precipitation events in the eastern part are connected mainly with nonwesterly (24%) and cyclonic-nonwesterly supertypes (17%, more than three times higher than mean summer frequency). The frequencies of cyclonic type (23%) and westerly supertype (11%) are smaller compared to those during events occurring in the western part. The prevailing type during LHPEs simultaneously occurring in both parts is the cyclonic type with frequency 56%, which is 6 times higher than summer climatology.
There are considerable differences between individual RCMs in simulation of circulation-to-precipitation links in summer. Some RCMs strongly overestimate the role of cyclonic circulation mainly in the western part: all WRF simulations (e.g., WRF_ICHEC 48%), as well as CCLM_MPI (47%) and HIRHAM_ICHEC (55%). Some RCMs underestimate the occurrence of westerly supertype during LHPEs; this concerns the majority of those RCMs driven by CNRM, as well as REMO and WRF RCMs. Some models connect LHPEs with anticyclonic type (CCLM_CNRM, COSMO_MPI, REMO_IPSL). Only a few simulations capture similarly strong links between events simultaneously occurring in both parts and the cyclonic type as found in E-OBS: ALADIN_CNRM (frequency of C type during LHPEs is 51%), COSMO_ICHEC (55%), WRF_ICHEC (58%), and RACMO_ICHEC (56%). Overall, these results are influenced by relatively small frequencies of LHPEs, especially those occurring simultaneously in the whole area, in some RCMs.