Increased extreme hourly precipitation over China’s rice paddies from 1961 to 2012


Rice yield have been affected by the increased extreme precipitation events in recent decades. Yet, the spatio-temporal patterns of extreme precipitation by rice type and phenology remain elusive. Here, we investigate the characteristics of four extreme precipitation indices across China’s rice paddy and their potential association with crop yields, by using hourly precipitation data from 1,215 stations and rice phenology observations from 45 sub-regions. The data indicate that hourly extreme precipitation have significantly increased in 1961–2012 for single rice and early rice in China but not for late rice. Rice were mainly exposed to extreme precipitation from transplantation to flowering stages. The frequency and proportion of extreme precipitation were significantly increased by 2.0–4.7% and 2.3–2.9% per decade, respectively, mainly in south China and Yangtze River Basin. The precipitation intensity and maximum hourly precipitation were increased by 0.7–1.1% and 0.9–2.8% per decade, respectively, mainly in central China and southeast coastal area. These extreme precipitation indices played a role as important as accumulated precipitation and mean temperature on the interannual variability of rice yields, regardless of rice types. Our results also highlight the urgencies to uncover the underlying mechanisms of extreme precipitation on rice growth, which in turn strengthens the predictability of crop models.


China, the biggest rice producer around the world, has a total rice sown area of 30 million hectares at present. However, rice was experiencing frequent extreme climate events that led to a large instability in rice production1,2. Long-term exposure of rice growth to extreme climate has raised our concerns3,4, because of the importance of the global or regional food security5. Currently there were a few studies focusing on the spatio-temporal patterns of extreme precipitation events over rice planting areas, especially with highly diverse rice variety, planting time and phenology in China6.

Precipitation extremes have been increasing globally in frequency, intensity and extent over the past decades7,8,9. The maximum daily precipitation, maximum consecutive 5-day precipitation and total precipitation from days > 95th percentile have increased by 5%, 4% and 20% during the period 1900–2010, respectively10. However, conclusions varied with regions and seasons11,12. For example, the proportion and frequency of extreme precipitation significantly increased in Eastern China while decreased in North China over the past five decades due to heterogeneous terrain and climate conditions13,14. By analyzing 265 stations in South Asia in 1961–2000, an increasing trend of extreme precipitation was identified in tropical regions, while decreasing in the Himalaya and desert regions15. Significant increase in maximum daily precipitation were found from June to August, but no obvious elevation or even decreasing during the rest of the year16.

Other than the possible disasters like flash floods and mudslides, extreme precipitation events have different influences on crop growth (or yield) when the events occurred in critical growing periods6,17,18. A positive correlation was found between rice yield and extreme precipitation events in India19, while it was negative in the Philippines20. Specifically, extreme precipitation slightly influenced rice growth at its tillering stage, while it is unfavorable for rice pollination at early rice flowering stage21. Long spells of rainfall at the ripening stage resulted in yield reduction due to lodging and waterlogging and impeded mechanical harvesting22. Moreover, extreme precipitation influenced crop yield through physiochemical and physiological mechanisms. Photosynthetic rate was increased by extreme precipitation by adjusting the stomatal opening of leaf surface of bean and pea23, while it was decreased due to large nutrient loss of leaf epidermis of peatland24. Thus, it is necessary to identify extreme precipitation indices during different rice-growing periods and unravel the potential effects of extreme precipitation on rice growth.

Most of previous studies were conducted based on daily datasets. However, extreme precipitation events often occurred in a short time from less than 1 h to a few hours25. Furthermore, trend analyses using hourly data could better reveal the temporal dynamics at the local scale and retain more information about precipitation pattern, especially in regions with substantial seasonal variability and undulating topography11. For instance, Prein et al.26 found that the hourly extreme precipitation increased in majority of the United States from 2001 to 2013 and expected to increase along with global warming in the future. Li et al.27 estimated the threshold values of hourly rainfall intensity for a 5-year return period and revealed significant regional differences over eastern China. Luo et al. 28 investigated synoptic situations of extreme hourly precipitation over China and suggested complicated regional features in the occurrence frequency and intensity of precipitation extremes.

The objective of this study is to provide an insight into extreme precipitation indices over rice paddy fields, including the frequency, intensity, proportion and maximum hourly precipitation (see “Methods” section). Using hourly precipitation data (1,215 stations) and rice phenology observations (45 sub-regions), we investigated the spatiotemporal patterns of extreme precipitation indices over three rice cropping systems (i.e., single rice, early rice and late rice) during 1961–2012, and tested the association between the long-term exposure to extreme precipitation and rice yield in the last three decades (1981–2012) due to data limitation (see “Methods” section). In addition, we discussed about the long-term goals in quantifying risks of extreme precipitation on rice production and associated model improvements, as well as policy implications to mitigate the losses from extreme precipitation events.


Extreme precipitation indices by crop and phenology

The extreme precipitation varied greatly among different rice growing periods, but not among three rice types (Fig. 1). For the entire rice growing season, the frequency of extreme precipitation of early rice (0.51 ± 0.11%) was significantly higher than that of single rice (0.39 ± 0.12%, p < 0.001) and late rice (0.32 ± 0.06%, p < 0.001) (Fig. 1a). In addition, the frequency in the period 2 and 3 were significant higher than those in period 1 and 4 for single rice and early rice (p < 0.001), while for late rice higher frequency occurred in period 1 and 2 (Fig. 1a). The intensity and maximum hourly precipitation differed significantly by growth period (p < 0.001) and were higher in the first two periods for each rice type (Fig. 1b,d). There were no significant differences of the proportion of extreme precipitation (range within 33.5–34.4%) between cropping systems for the entire rice season, and significant higher proportion of extreme precipitation was found for periods 2 and 3 for single rice and early rice (Fig. 1c).

Figure 1

Extreme precipitation indices by rice type and growth period in 1961–2012. (a) Frequency of extreme precipitation; (b) intensity of extreme precipitation; (c) proportion of extreme precipitation; (d) maximum hourly precipitation, note that the value during whole rice growing season differs with the maximum of those in 4 growth periods because the time of maximum precipitation event differs by year and site. Period 1 represents the stage from transplanting to tillering, period 2 for the stage from the end of tillering to the end of flowering, period 3 for the stage from the end of flowering to doughty, and period 4 for the stage from maturity to harvesting. Error bar indicates one standard deviation of extreme precipitation indices due to spatial variation. Different letters indicate there were significant differences between growing periods at the 5% level. Figures were generated in R version 3.6.0 (

Notable spatial discrepancies were detected for all four extreme precipitation indices based on the averaged data over 1961–2012 (Fig. 2). For the single rice, the frequency of extreme precipitation was relatively higher in southwest China (0.34–0.96%) than the east and the northeast (0.14–0.56%) (Fig. 2a). Intensity of the extreme precipitation was relatively lower in the southwest but reached the highest in North China Plain (Fig. 2d). Similar patterns were found for the proportion and maximum hourly precipitation (Fig. 2g,j). For early rice, the frequency of extreme precipitation was generally high in most provinces (0.39–0.72%, Fig. 2b). The intensity, proportion and maximum hourly precipitation showed similar spatial patterns with the hotspots in Hainan, Guangxi, and Guangdong (Supplementary Fig. S2a, Fig. 2e,h,k). For late rice, the frequency ranged from 0.17 to 0.58% (Fig. 2c). The intensity and maximum hourly precipitation showed similar patterns with a gradual decrease from maritime areas to the inland (Fig. 2f,l). In contrast, hotspots of the proportion were primarily distributed in Hunan, Jiangxi, and Fujian (35.7% to 40.6%), whereas low values were found in south China (28.0% to 36.1%, Fig. 2i). These proportions were smaller than previous studies that used the 90th percentile threshold29,30. Details of the patterns of four indices in different growth periods could be found in Supplementary Figs. S3–S6.

Figure 2

Patterns of extreme precipitation indices for rice growing season averaged over the period 1961–2012. (ac) Frequency of extreme precipitation; (df) intensity of extreme precipitation; (gi) proportion of extreme precipitation; (jl) maximum hourly precipitation for single rice region (left) , early rice region (middle) , late rice region (right) during 1961–2012. Maps were generated in R version 3.6.0 (

The trends of extreme precipitation indices were further detected during rice growing season over the period 1961–2012 (Fig. 3). For single rice, the indices exhibited significantly increasing trends over the entire growing season, with 2.4% per decade (p = 0.02) for frequency, 0.8% per decade (p < 0.001) for intensity, 2.3% per decade (p < 0.001) for the proportion, and 2.8% per decade (p < 0.001) for maximum hourly precipitation. Temporal trends of four indices for early rice growing season were similar to single rice, except for maximum hourly precipitation (0.9% per decade, p = 0.07). In contrast, the proportion of extreme precipitation showed a significant increment for late rice (2.9% per decade, p < 0.001), while other indices showed insignificant upward tendencies. Large tendency differences were found between the four growing periods. An increasing trend of four indices was found within periods 1 and 2 for single rice (Fig. 3). For early rice, no significant upwards tendencies were found, except the frequency in period 2 with a notable increase at rate of 5.1% per decade (p = 0.03; Fig. 3a,b,d). Trends of the proportion were shown with a significant increase in the latter three periods ranged from 2.6 to 4.1% per decade (p < 0.05; Fig. 3c). For late rice, all four indices showed upward tendencies during periods 1 and 2, of which the proportion of extreme precipitation showed a significant trend (2.6% to 3.1% per decade, p < 0.01).

Figure 3

Temporal trends of extreme precipitation indices by rice type and growth period in 1961–2012. (a) Frequency of extreme precipitation; (b) intensity of extreme precipitation; (c) proportion of extreme precipitation; (d) maximum hourly precipitation, with *p < 0.05 and **p < 0.01. The definition of growth period 1 is same as Fig. 1. Figures were generated in R version 3.6.0 (

The trends of extreme precipitation indices were spatially heterogeneous (Fig. 4). For single rice, about two thirds (65%) of stations showed an increasing frequency of extreme precipitation, 6.2% of which were statistically significant (from 4.8 to 18.5% per decade; Fig. 4a). For early rice, 80% of stations showed an increasing frequency, while 11.4% was significant (from 7.1 to 33.1% per decade; Fig. 4b). More than two thirds of stations showed a relatively low increasing trend of the intensity (range from 1.9 to 13.1% per decade; Fig. 4d–f). ~ 75% of stations were shown with increasing tendencies of the proportion in three rice types, 10.6–16.3% of which were with significant increase at a rate of 3.6–22.5% per decade that were equally distributed over paddy fields (Fig. 4g–i). Trend analysis indicated a stronger changes in four growing periods over the last 50 years, except for late rice during periods 3 and 4 (Supplementary Figs. S7–S10). In summary, increasing trends for rice growing season since 1961 were found in the most of stations for the proportion of extreme precipitation (70.6–80.1%, with 10.6–16.3% significant) and for maximum hourly precipitation (67.0–69.9%, with 7.5–8.7% significant), while mixed trends were found for the frequency and intensity of extreme precipitation.

Figure 4

Patterns of the temporal trends of extreme precipitation indices in 1961–2012. (ac) Frequency of extreme precipitation; (df) intensity of extreme precipitation; (gi) proportion of extreme precipitation; (jl) maximum hourly precipitation for single rice region (left), early rice region (middle), late rice region (right). Red crosses indicated for insignificant negative trends, blue crosses indicated for insignificant positive trends, while dots indicated for significant trends (p < 0.05). Maps were generated in R version 3.6.0 (

Association between extreme precipitation and rice yield

A negative correlation between the frequency and single rice yield was found in the Northern China and Eastern China, while the correlation was positive in southwest and the North China Plain (Fig. 5a). Early rice yield was significantly and negatively correlated with the frequency of extreme precipitation (Fig. 5b). Negative correlations between frequency and rice yield were also found for late rice at coastal area (Fig. 5c). The relationship between the intensity of extreme precipitation and yield of single rice showed positive correlations in most provinces (Fig. 5d). Negative correlations were further found at coastal areas of early and late rice, while provinces in the middle and lower reaches of the Yangtze river Basin, such as Hunan and Zhejiang, showed positive relationships (r = 0.33 to 0.52, p < 0.1) (Fig. 5e,f). The spatial pattern of correlations between the proportion of extreme precipitation and single rice yield was not notable (Fig. 5g). Proportion of extreme precipitation showed negative correlations with early and late rice yields at coastal area, but positive correlations in the inner regions (Fig. 5h,i). Similar spatial distributions were found for the correlation between maximum hourly precipitation and rice yield (Fig. 5j–l). Details of the patterns of the correlations in different growth periods could be found in Supplementary Tables S3–S5.

Figure 5

Correlation coefficient between rice yields and extreme precipitation indices in 1981–2012 at the provincial scale. (ac) Frequency of extreme precipitation of single rice (left) , early rice (middle), and late rice (right); (df) intensity of extreme precipitation; (gi) proportion of extreme precipitation; (jl) maximum hourly precipitation. Asterisks indicate the significance of each correlation. *p < 0.1 and **p < 0.05. Maps were generated in R version 3.6.0 (

We further implemented stepwise regression to identify the determinants of rice yield variability for three rice types across rice-growing provinces (Fig. 6). Climate factors explained 41% for early rice, 11% for late rice, but only 3% for single rice (Supplementary Table S6). Results highlighted that extreme precipitation were as important as accumulated precipitation and mean temperature on the inter-annual yield differences, regardless of rice types. For single rice, significantly positive effects were found for the maximum hourly precipitation in periods 1 and 4, the proportion in period 3 and the intensity of extreme precipitation in period 2 (Fig. 6a). For early rice, the frequency of extreme precipitation in period 3 has significantly negative effects on yield variability (r =  − 0.49, p < 0.001). The effects of maximum hourly precipitation in the former three periods were opposite in direction to the frequency (r = 0.23 to 0.36; Fig. 6b). For late rice, inter-annual variability of rice yield was negatively related to the intensity of extreme precipitation in period 3 (r =  − 0.48, p = 0.03) and to the proportion in period 2 (r =  − 0.25, p = 0.009). In addition, positive relationships were found for maximum hourly precipitation in period 3, the frequency in period 1, and the intensity in period 2 (Fig. 6c).

Figure 6

Regression coefficients (± S.E.) show the magnitude of the effect of each variable in a multiple regression. (a) Single rice (n = 713); (b) early rice (n = 279); (c) late rice (n = 279). Asterisks indicate the significance of each predictor. ***p < 0.001; **p < 0.01; *p < 0.05. P1 to P4 represent the four growth periods. Figures were generated in R version 3.6.0 (


Our analyses based on observations from 1,215 stations revealed that hourly extreme precipitation have significantly increased in 1961–2012 for single rice and early rice in China but not for late rice. This dataset owned higher spatial and temporal resolutions than previous studies. For instance, Zhang and Zhai31 examined hourly precipitation trends using the data from 480 stations from May to September in 1961–2000. This study found a positive trend of the frequency (2.5–7.5% per decade) in Northeast China and the middle and lower reaches of the Yangtze river Basin, while not evident for the intensity. Li et al.29 analyzed the hourly precipitation data of 1,141 stations during 1982–2012, indicating a relatively low increment trend (< 1% per decade) of the frequency located in south China and Huang-Huai-Hai Plain, and even a decrease in Sichuan and northeast China. Such discrepancies indicated the effects of time period and available stations on the spatiotemporal patterns of hourly extreme precipitation. In addition, the analysis presented in this study helped describing the large variations in historical trend of extreme precipitation across rice producing regions of China.

This study is the first time to quantify the characteristics of extreme precipitation by rice growing periods. Results suggest that the rice growth are mainly exposed to extreme precipitation events at earlier stages. This is comparable to previous studies that presented the risks of extreme precipitation only at regional scale. For example, Xu et al.32 stated that over 60% of 52 stations in Jiangsu province showed increasing trends of the frequency and intensity of daily extreme precipitation during June–August of 1961–2012. Thus, our study based on the observations from 1,215 stations over the past five decades provides comprehensive information, which may be beneficial for farmers or policy makers to optimize their rice-cropping systems to adapt extreme precipitation.

The frequency and proportion of extreme precipitation were negatively correlated with historical yields of early or late rice, especially in southeast coastal area where were the major rice producing areas of China. Such negative correlations were also found in Hainan Island33, southeast China34 and India35. The findings have several policy implications for adapting extreme precipitation events. First, optimizing farm management measures (e.g. shallow-wet irrigation, reseeding and fixing) and investigating in the drainage facilities, including canals, ponds and pump equipment, can improve drainage efficiencies and farmer’s adaptive capacity36. Second, public services, such as providing disaster warning information and technical guidance, are benefit for farmers' prevention awareness and access to advanced technologies37. Further, breeding rice that carry a diversity of resistance genes to environmental stress seem to be fundamental but with great challenges for agricultural sustainability in China2.

However, there are still certain limitations within our analyses. First, the high-resolution (1 × 1 km) maps of rice paddy were helpful to filter meteorological stations close to the small paddy fields across China, but only reflected spatial distributions from 1990 to 2010. We then compared the meteorological stations selected by two additional union sets of rice paddy layers: one was from the History Database of the Global Environment (HYDE 3.2.1)38 at 5-arc-min scale, the other one was from the high-resolution maps which were used in this study but resampled into a 5-arc-minute grid dataset. Supplementary Figure S11 indicate that ~ 20% of meteorological stations were not overlapped, mainly in southwest China and the North China Plain. This result implied that the assumption that the pattern remained unchanged before 1990 may introduce additional uncertainties39,40. Second, the number of meteorological stations is 40% less before 1980, which would distort the regionally averaged trend analyses41. Sensitivity analysis was then conducted to determine the consistency of regional trends using different group of stations. The regional trends of extreme precipitation indices were insensitive to the number of meteorological stations, except for the intensity of extreme precipitation that showed opposite trends between two different groups of station (294 v.s. 803 for single rice, 220 v.s. 412 for double rice, Supplementary Fig. S12). Third, the 95th percentile thresholds were defined using the records in 1981–2010, because of the maximum number of stations meeting the strict data availability requirements. We thus analysed the sensitivity of the 95th percentile thresholds to different base periods (1981–2010, 1976–2005, 1971–2000, 1971–2010, and 1961–2012). Fortunately, Supplementary Table S7 indicated a small differences (< 4%) in the 95th percentile thresholds between them. Last, the spatiotemporal pattern of extreme precipitation indices may be sensitive to the length of time periods. Additional analyses in Supplementary Figs. S13–S16 indicated an obvious difference in the temporal trend of extreme precipitation indices between the whole time period (1961–2012) and shorter periods (1990–2010 and 1980–2010). However, there are no obvious discrepancies in the mean values or spatial patterns.

In addition, our study only focused on the association of crop growth in response to extreme precipitation, but the underlying mechanisms remains elusive. This still limits our capabilities of using land surface models to simulate the response of crop phenology or morphology to extreme precipitation events42,43. At present, most of land surface models considered the precipitation as a factor to regulate soil water content44,45 and nutrient losses via runoff and leaching46, but neglected the physical and physiological effects of extreme precipitation on crop growth17,18,47,48. In addition, the models are unable to reflect the spatial and temporal variations of the response of crop growth to extreme precipitation. Therefore, the long-term goal is to uncover the mechanisms and quantify the risks of extreme precipitation on rice growth, which in turn strengthens the predictability of the models in response to extreme precipitation.



Four extreme precipitation indices were calculated not only in the entire rice-growing season but also for each growing period. The 95th percentile was selected as a threshold to represent extreme precipitation, which was recommended by the ETCCDI49. All hourly precipitation above 0.1 mm occurring throughout the base period (1981–2010) were sorted in ascending order at each station to determine the threshold50,51. The base period was chosen based on the rules of maximizing the number of stations meeting the strict data availability requirements52. Four extreme precipitation indices were used to characterize extreme hourly precipitation during rice growing season (Supplementary Table S1), including three percentile-based indices (the frequency, intensity and proportion of extreme hourly precipitation) and one absolute indices (maximum hourly precipitation, i.e., max 1 h). The frequency was defined as the fraction of the number of hours when hourly precipitation exceeded the 95th percentile threshold to the length of the growth period in hours. The intensity was calculated as the mean of extreme hourly precipitation. The proportion was defined as the ratio of the amount of extreme precipitation to total precipitation amount. Further details of these indices are shown in Supplementary Table S1.


Hourly precipitation dataset was obtained from the National Meteorological Information Center of the China Meteorological Administration ( Observations were collected from 2,420 nationally distributed meteorological stations during the period 1961–2012. Precipitation was automatically measured by either tipping-bucket or self-recording siphon rain gauge, with strict quality assurance including the climatological limit value test, the time consistency check, and the internal consistency check28,29. An entire year of observations would be removed from the dataset if there were more than 2% of hourly observations missing in that year. Two types of stations were also excluded from our analysis: (i) stations with the observation period less than 30 years, and (ii) stations with inconsecutive observations in more than 10% of the observation year. After that, missing values were still around 0.2% of the total population, which have little impact on our results.

The hourly precipitation dataset was further filtered only for the rice-growing season across China’s rice paddies. First, a gridded rice paddy map at the spatial resolution of 1 × 1 km was developed as the union set of land use layers derived from the Landsat during the period 1990–201053, where assumed the pattern remained unchanged before 1990. Second, the meteorological stations were selected if there were rice paddies located within a buffer zone within 20 km in radius. The final dataset contains the hourly precipitation observations from 1,215 stations (i.e., 813 for single rice and 412 for double rice; Supplementary Fig. S1). The selected stations were evenly distributed across China’s rice paddies that well represented the contrasting environmental conditions compared to the selections using larger or smaller buffer zones (i.e., the radius of 10 km, 30 km, and 50 km). Third, the hourly precipitation observations were extracted from the period from rice transplanting to harvesting stage. Phenological information for single and double rice were retrieved from the agro-meteorological field observation network54,55, including the period from transplanting to tillering (period 1), the period from the end of tillering to the end of flowering (period 2), the period from the end of flowering to doughty (period 3), and the period from maturity to harvesting (period 4) in each of 45 rice-cropping sub-regions (Supplementary Figs. S1, S2 and Supplementary Table S2). Recent studies suggest that the length of rice growing period hardly varied, i.e. on average 1.0, 0.2 and 2.0 day per decade increase during 1991–2012 for early, late and single rice, respectively54. Therefore, rice phenology was kept constant throughout all the observation periods in this study.

Statistical analysis

To determine the significance of extreme precipitation indices between rice types and rice growing periods, homogeneity tests were carried out. According to the results of Shapiro–Wilk test, extreme precipitation indices are not normally distributed. Therefore, the difference of extreme precipitation indices between single rice and double rice was tested for the entire rice season using nonparametric Mann–Whitney U test. Wilcoxon signed-rank test, which is suitable for paired sample, was used to test the differences between early rice and late rice for the entire rice season, and between four rice growing periods.

Temporal trends were examined for extreme precipitation indices for the 1,215 stations during each rice-growing period from 1961 to 2012, and for each rice type. Trend detection were carried out by Mann–Kendall nonparametric test (M–K test)7,56. A positive Z value indicates an increasing trend while a negative Z value indicates a decreasing trend. The statistical significance was assessed at the 5% level. In addition, Sen’s slope estimator was applied to quantify the trend of extreme precipitation indices during 1961–2012. The slope is the median among all combination of calculations. The M–K test was based on the assumption that the time series was independent since serial correlation could lead to unreliable statistical significance of trend57,58. Therefore, autocorrelation test for each extreme precipitation index at each station was performed before applying the M–K test. The lag-1 serial autocorrelation coefficients were not significant, suggesting that the time series were independent and the following trend analysis could be applied to the original values of time series.

We conducted the correlation analysis between rice yield and extreme precipitation during rice growing periods. Rice yield data were obtained at the provincial level during the period 1981–2012 from the National Bureau of Statistics ( Four extreme precipitation indices were determined as area-weighted average value when being aggregated from sites into provincial level. The corresponding area for each station was determined based on Thiessen polygon. Prior to correlation analysis, we used the first-order difference method to detrend both crop yields and extreme precipitation indices59. This method can avoid the effects due to non-climatic factors (e.g., technology and management improvements). Spearman rank correlation coefficients were then calculated by rice type and province.

We further conducted multiple linear regression models for each of three rice types to test whether rice yield variability depended on extreme precipitation indices across provinces and time periods. In addition to extreme precipitation, each regression model included growing-season accumulated precipitation, mean temperature and mean solar radiation that were considered as effective variables explaining crop yield variability in previous studies60,61,62. It should be noted that extreme precipitation indices by growth period were initially considered in regression models63. These three predictor variables were extracted from the China Meteorological Forcing Dataset (, but further aggregated as area-weighted average values at the provincial scale. For each regression model, we filtered the predictor variables to avoid collinearity between them using Variance Inflation Factors (VIFs) and minimizing the number of variables until all remaining variables fell within the predetermined threshold (i.e., VIF < 5). Because predictors included in the models were measured in different units and have various ranges of values, we standardized each of them, across all provinces and over the full time period, to have zero mean but its own unique variance. Such standardization performed before analyses, and enabled quantitative comparisons of the resulting model coefficients for the predictor variables. To avoid over-fitting, each regression model was then simplified using the Akaike Information Criterion (AIC) values by the implementation of stepwise regression.

Data availability

All data used in figure creation are publicly available online at


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This study was supported by the National Natural Science Foundation of China (41977082; 41530528), the National Key Research and Development Program of China (2016YFD0800501), and the China Postdoctoral Science Foundation (2019M650313). We acknowledge the data providers for hourly precipitation dataset from the National Meteorological Information Center of the China Meteorological Administration.

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F.Z. designed research; Y.W.J and J.F. performed research. Y.W.J., J.F. and Z.F. wrote the paper. B.G.L. provided the precipitation dataset. All authors discussed the results and commented on the manuscript.

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Correspondence to Feng Zhou.

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Jian, Y., Fu, J., Li, B. et al. Increased extreme hourly precipitation over China’s rice paddies from 1961 to 2012. Sci Rep 10, 10609 (2020).

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