3.1.
Spatial distribution characteristics
3.1.1.
ANNUAL PRECIPITATION
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Based on the interpolated precipitation data from the three reanalysis datasets and the observed precipitation at stations, the spatial distributions of tenyear-averaged annual precipitation in China during 2007-2016 are shown in Fig. 1. It can be seen that the basic distribution of the annual average precipitation in China, which exhibits the characteristic of increasing from northwest to southeast in observations, are slightly different among the three reanalysis datasets. Specifically, in northwest regions, CRA-Interim and ERA5 overestimate the annual precipitation in the Tianshan Mountains and the Altai mountains. For the Tibet Plateau, the CRA-Interim and ERA5 overestimate the precipitation over the southern Tibet southeast of the Himalayas, and the average annual precipitation in Tibet is higher than that of JRA-55. In the northeast and north of China, the annual precipitation in reanalysis datasets is about 200 mm higher than the total observed precipitation for the same year. The CRA-Interim performs more detailed simulation of precipitation triggered by topographic forcing in the Changbai Mountains and Lesser Khingan Mountains in Northeast China, Taihang Mountains and Lüliang mountains in North China. In the coastal areas of South China, Southwest and Southeast China, the precipitation over complex terrain in the CRA-Interim dataset is closer to the observation in depicting the details of the precipitation distribution.
The regional distribution characteristics of the precipitation bias vary in three reanalysis datasets. From Fig. 2, it can be seen that the simulated precipitation in the CRA-Interim shows negative bias in China, indicating that the precipitation is underestimated by the reanalysis data. The center of negative bias is located in the middle and lower reaches of the Yangtze River, with a maximum of about - 400 mm. In regions of Sichuan, Yunnan, Guizhou, Guangxi and Guangdong, the CRA-Interim shows positive bias, and the center is located near the Sichuan Basin, with a maximum of more than 1000 mm. ERA5 generally shows positive bias across China, indicating an overestimation of the precipitation. Positive bias can be found in Hunan and Hubei in ERA5. Meanwhile, contrary to the other two reanalysis datasets, the negative center of precipitation bias in ERA5 is located in the coastal areas of Guangdong and Fujian, with the maximum of about -200 mm. Precipitation in JRA-55 also shows positive bias in China, and the area with positive bias is larger than that in ERA5. Meanwhile, the area with maximum bias is mainly distributed in the south of the Tibet Plateau, Sichuan Basin and Yunnan-Guizhou Plateau, with a maximum value of more than 800 mm, whereas relatively smaller positive bias occur in the northwest and northeast regions.
Further analysis has been conducted on the spatial distributions of the RMSEs of the total annual precipitation in the three reanalysis datasets. It is shown that, due to the particularity of the precipitation data, the area with large RMSEs is basically consistent with the area with large total annual precipitation (Yang and Smith[23]; Jia [24]). The RMSEs of precipitation in the CRA-Interim in southwest and southeast regions are larger than those in ERA5 and JRA-55, while the RMSEs in JRA-55 in northwest and northeast regions are slightly larger than those in ERA5 and CRA-Interim. Overall, the RMSEs of precipitation in ERA5 are the smallest.
3.1.2.
SPATIAL DISTRIBUTIONS OF PRECIPITATION IN EACH SEASON
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Based on above analyses, the spatial distribution of daily-average precipitation rate in four different seasons in China during the 10 years is further obtained by using the reanalysis and observed precipitation data.
It can be seen that in spring, the precipitation is mainly concentrated in South China. Compared with the observations, the western boundary of the rain belt in spring simulated by the CRA-Interim is more westward, and the northern boundary is more southward. The overestimation of precipitation rate in the CRA-Interim mainly appears in Southwest China (Sichuan, Chongqing, Yunnan and Guizhou), while the underestimation appears in Central and East China (Hubei, Hunan, Anhui and Zhejiang), with both the bias of about 2 mm d-1. The simulation results of ERA5 in Southwest China are similar to those of CRAInterim, and so are the bias (2 mm d-1). However, the northern boundary of the rain belt is more accurately simulated in ERA5, which coincides with the observations very well. Basically, the distribution of the rain belt in spring simulated by JRA-55 is relatively more accurate, of which the range is slightly larger and the intensity is slightly stronger. The overestimation of precipitation appears in Southwest China (Sichuan, Chongqing, Yunnan, Guizhou), Guangdong and Guangxi, with bias of about 2 mm d-1.
Precipitation in China is most concentrated in summer, which gradually increases from northwest to southeast. Fig. 3 shows the spatial distributions of summer-averaged daily precipitation in the three reanalysis datasets and observations. Compared with the observations, the summer-averaged daily precipitation simulated by the CRA-Interim is overestimated in Southwest and South China, which is the region with most precipitation, with bias of about 4 mm d-1. However, for regions with second-most precipitation in summer, the daily precipitation is underestimated, with bias of about 2 mm d-1. For rest regions in China, the simulated precipitation is similar to the observations. ERA5 generally shows positive bias in summer, with an overestimation in the key rain belt. The simulation shows that there are positive bias of about 4 mm d-1 in the southern Tibet, Sichuan and Yunnan. Meanwhile, JRA-55 also overestimates the range and intensity of rain belt in summer of China, and shows positive bias of about 4 mm d-1 in the southwest and northeast of China.
In autumn, the intensity and range of the rain belt are greatly weakened. Compared with observations, the simulation bias in the CRA-Interim is similar to that in spring. The overestimations in the CRA-Interim appear in Southwest China (Sichuan and Yunnan), while the underestimations appear in the Central and East China (Hubei, Hunan, Anhui, and Zhejiang), with both bias of about 2 mm d-1. ERA5 shows overestimations in the range and intensity of the rain belt in autumn. Positive bias, which are similar to those in the CRAInterim, appear in the southwest region; however, few negative bias can be found in Hainan Island, which may be attributed to the poor performance in rainfall simulation caused by typhoon. The rain belt in autumn simulated by JRA-55 is similar to that by ERA5, but the negative bias appear in Hubei, Hunan and Anhui instead of Hainan.
In winter, the intensity and range of the rain belt along the southeast coast continue to weaken. The simulated range of the rain belt in winter is underestimated in CRA-Interim and overestimated in JRA-55. However, it coincides well with ERA5.
In general, all the three reanalysis datasets show overestimations of precipitation in spring and summer, especially in Southwest China, where positive bias can be found in all the three reanalysis datasets. This may be related to the large simulation bias of numerical model in the lower reaches of the Tibet Plateau. The CRA-Interim shows a range of negative bias in the central region, which may be due to the assimilation schemes adopted in the CRA-Interim. With more ground information added in the schemes, more detailed simulation of precipitation triggered by topographic forcing would be obtained; however, detailed distribution of observed precipitation cannot be reflected as there is not enough observation over complex terrain. There are few or no stations in mountainous areas (especially in the western mountainous areas); however, the corresponding topographic information has been added into the model, leading to some artificial precipitation triggered by topographic forcing.
3.2.
Temporal distribution characteristics of precipitation
3.2.1.
ANNUAL-MONTHLY VARIATION OF PRECIPITATION
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As shown in Fig. 4, based on the monthly precipitation averaged at all the stations in China, the monthly-annual variation of monthly average precipitation is obtained. It can be seen that as most of China is located in the East Asian monsoon area, the distributions of precipitation show obvious seasonal differences. From 2007 to 2016, the monthly average precipitation in summer all exceeds 150 mm, with the maximum of more than 180 mm. Meanwhile, the monthly average precipitation in winter is less than 40 mm, with a minimum of lower than 10 mm.
Precipitation simulations in three reanalysis datasets show different bias. The JRA-55 presents positive bias in almost the entire periods, whereas the CRA-Interim shows negative bias in almost the entire time periods. The ERA5 presents overestimations in spring and autumn for some years, and underestimations in other periods.
The inter-annual variation of the monthly precipitation is relatively accurately simulated in three reanalysis datasets, reflecting the distribution difference of drought and flood in different years. It is shown that the precipitation in the summers of 2008, 2010, 2012, 2013 and 2016 is more than that in other years, while that of 2009 and 2011 is significantly less. As the difference in the time series of precipitation bias in three reanalysis datasets, the time series of monthly precipitation bias in three reanalysis datasets are obtained by subtracting observational data from the simulated precipitation in three reanalysis data sets.
As shown in Fig. 5, the monthly precipitation averaged at all stations in the CRA-Interim during 2007-2016 generally shows negative bias, with an average of - 2 mm. The seasonal variation of the bias is not obvious. The maximum negative bias occurs in spring (March), summer (August) and autumn (November), with a magnitude of more than 20 mm, while the maximum positive bias occurs in summer (July and August), with a maximum of more than 20 mm. In terms of bias characteristics, it might be occasional errors caused by typical weather processes.
ERA5 and JRA-55 show similar bias variations in the 10 years, both of which generally exhibit positive bias. The average bias in ERA5 is 7 mm, with a maximum positive value of 18 mm, while the average bias in JRA-55 is 10 mm, with a maximum positive value of 23 mm. The bias in ERA5 and JRA-55 present certain seasonal variations, which might be due to the systematic bias.
From the temporal variations of the RMSE of the monthly precipitation averaged at all stations in three reanalysis datasets, it can be seen that, in summer, the RMSE of precipitation in the CRA-Interim is the largest, followed by JRA-55, and that in ERA5 is the smallest. The trends of the RMSE in three reanalysis datasets are basically the same, which almost coincides with the variations of the monthly precipitation averaged at all stations. The RMSE in summer is significantly higher than that in winter, which is almost the same in spring and autumn.
3.2.2.
CHARACTERISTICS FOR DIURNAL VARIATIONS OF SUMMER PRECIPITATION
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Summer is the season with most precipitation in China. The simulation on diurnal variations of precipitation involves many physical processes in the model, such as the convection, radiation transfer, cloud physical process, terrain difference, flux exchange between the surface and boundary layer, etc. Therefore, it is an ideal method to evaluate the physical process of the model (Trenberth et al.[25]; Cui et al. [26]; Sun et al.[27]; Wei[28]). To further study the applicability of precipitation products from China's atmospheric reanalysis data, comparisons among three reanalysis datasets are conducted on the distribution characteristics for diurnal variations of summer precipitation.
In this paper, the total precipitation during 08:00- 20: 00 Beijing time is defined as the daytime precipitation, while that during 20: 00-08: 00 Beijing time is defined as night precipitation. The spatial distributions for the percentage of the daytime precipitation to the total daily precipitation averaged in summers of 2007-2016 are shown in Fig. 6.
From Fig. 6, it can be seen that there are some differences between three reanalysis datasets and the observations. Generally, all the three reanalysis datasets have well simulated the distribution characteristics for daily variations of precipitation in southeast coastal areas, the northeast of Inner Mongolia and the northern part of Heilongjiang. The CRA-Interim performs the best, followed by ERA5, while JRA-55 is slightly inferior. All the three reanalysis datasets show slightly poor simulation abilities for the "night rain" in the southwest of China. For the CRA-Interim, the simulated night precipitation in the southwest is basically the same as the daytime precipitation. For ERA5, the "night rain" could only be simulated at the border regions of Sichuan, Chongqing, and Guizhou. The night precipitation simulated by JRA-55 is closer to the observations. In addition, compared with the other two reanalysis datasets, the CRA-Interim overestimates the daytime precipitation in the Shandong Peninsula and the North China Plain, and also overestimates the night precipitation in the Tarim basin.
3.3.
Comparison of simulation ability of precipitation
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By referring to the operational verification methods in National Meteorological Center, indexes of Threat Score (TS), Missing Rate (PO), False Alarm Ratio (FAR), Equitable Threat Score (ETS) and True Skill Statistic (TSS) are selected for verifying the reanalysis datasets (Pan et al. [29]).
Based on the above-mentioned reanalysis products and observations, the results of 24-hour forecast from 00: 00 UTC (i. e., 08: 00 BTC) are analyzed in this study. According to the precipitation value, five levels are defined, namely light rain (≥ 0.1), moderate rain (≥ 10), heavy rain (≥ 25), rainstorm (≥ 50) and downpour (≥ 100). If the precipitation is ≤ 0.1, it is considered that no precipitation events occur.
Indexes for precipitation of five levels in three reanalysis datasets, including TS, PO, FAR, ETS and TSS (table omitted), are calculated. The line chart shows that there are some differences in the scores of different indexes in three reanalysis datasets (Fig. 7).
The results show that the TS decreases with the increase of rainfall. At the level of light rain, the TS scores are all close to 0.6 in three reanalysis datasets, of which ERA5 scores slightly higher, while those of JRA-55 and CRA-Interim are equivalent. At the level of moderate rain, TS has dropped to 0.433 in ERA5, but it is still significantly higher than those of JRA-55 (0.394) and CRA-Interim (0.358). At the level of heavy rain, the TS scores have dropped below 0.3 in all the three reanalysis datasets, whereas the TS of ERA5 is still higher than those of JRA-55 and CRAInterim. At the levels of rainstorm and downpour, three reanalysis datasets have comparable performances, with the TS scores between 0.16-0.17 for the level of rainstorm and 0.08-0.10 for downpour.
With the increase of rainfall, the score of PO increases significantly. At the level of light rain, missing events account for less than 10% of the total light rain events in three reanalysis datasets. This percentage increases to 35% - 48% at the level of moderate rain, 60% - 68% at the level of heavy rain, close to 80% at the level of rainstorm, and close to 90% at the level of downpour. Similarly, at the levels of heavy rain or below, the ERA5 performs better than JRA-55 and CRA-Interim, while at the levels of rainstorm and downpour, the PO scores of three reanalysis datasets are basically equivalent, and the CRA-Interim performs slightly better.
The score of FAR increases slightly with the increase of rainfall. Below the level of rainstorm, three reanalysis datasets have comparable performances. The FAR scores are about 0.40, 0.45 and 0.5 at the levels of light rain, moderate rain and heavy rain, respectively. At the level of rainstorm or above, FAR is relatively low in JRA-55, while it is relatively high in ERA5.
The score of ETS also decreases with the increase of rainfall, which is lower than TS score. Moreover, the higher the precipitation level is, the closer the scores of ETS and TS are. The ETS score of ERA5 is slightly higher than those of JRA-55 and CRA-Interim at levels of rainstorm and below. At the levels of rainstorm and above, the scores in three reanalysis datasets are basically the same, where the CRAInterim performs slightly better at the level of rainstorm.
The variation trends of TSS score at different precipitation levels and the distribution of scores in three reanalysis datasets are basically the same as the performance of TS score. Compared with the TS score, the TSS scores are about 0.030, 0.150, 0.100 and 0.05 higher at the levels from light rain to rainstorm, respectively, and basically the same at the level of downpour.
Through the evaluation on quantitative precipitation forecast, it can be seen that the ERA5 performs the best, followed by the JRA-55 which is better than the CRA-Interim. However, at the level of downpour, the CRA-Interim performs slightly better than the other two.