Stoch Environ Res Risk Assess (2012) 26:157–176 DOI 10.1007/s00477-011-0464-x
Prediction of variability of precipitation in the Yangtze River Basin under the climate change conditions based on automated statistical downscaling Jing Guo • Hua Chen • Chong-Yu Xu Shenglian Guo • Jiali Guo
•
Published online: 23 April 2011 Ó Springer-Verlag 2011
Abstract Many impact studies require climate change information at a finer resolution than that provided by general circulation models (GCMs). Therefore the outputs from GCMs have to be downscaled to obtain the finer resolution climate change scenarios. In this study, an automated statistical downscaling (ASD) regression-based approach is proposed for predicting the daily precipitation of 138 main meteorological stations in the Yangtze River basin for 2010–2099 by statistical downscaling of the outputs of general circulation model (HadCM3) under A2 and B2 scenarios. After that, the spatial–temporal changes of the amount and the extremes of predicted precipitation in the Yangtze River basin are investigated by Mann– Kendall trend test and spatial interpolation. The results showed that: (1) the amount and the change pattern of precipitation could be reasonably simulated by ASD; (2) the predicted annual precipitation will decrease in all sub-
J. Guo H. Chen (&) S. Guo J. Guo State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, People’s Republic of China e-mail:
[email protected] J. Guo e-mail:
[email protected] C.-Y. Xu Department of Geosciences, University of Oslo, P. O. Box 1047, Blindern, 0316 Oslo, Norway J. Guo HydroChina Huadong Engineering Corporation, Hangzhou 310014, People’s Republic of China C.-Y. Xu Department of Earth Sciences, Uppsala University, Uppsala, Sweden
catchments during 2020s, while increase in all sub-catchments of the Yangtze River Basin during 2050s and during 2080s, respectively, under A2 scenario. However, they have mix-trend in each sub-catchment of Yangtze River basin during 2020s, but increase in all sub-catchments during 2050s and 2080s, except for Hanjiang River region during 2080s, as far as B2 scenario is concerned; and (3) the significant increasing trend of the precipitation intensity and maximum precipitation are mainly occurred in the northwest upper part and the middle part of the Yangtze River basin for the whole year and summer under both climate change scenarios and the middle of 2040–2060 can be regarded as the starting point for pattern change of precipitation maxima. Keywords Climate change Statistical downscaling Mann–Kendall trend Precipitation The Yangtze River basin
1 Introduction Global warming is an irrefutable fact and the global average surface temperature has increased by about 0.74 ± 0.18°C during the past 100 years and China is one of the countries experiencing the most significant effects of global warming (IPCC 2007; Bate et al. 2008). The Yangtze River is the longest river in China and the third longest river in the world and has an irreplaceable role in supporting sustainable development of the society and economy in China. The water resources and the total productive value of industry and agriculture in the Yangtze River basin are 40% of the totals of that of China. The Yangtze River basin has about 400 million inhabitants, counting for about 1/3 of the population in the country. However, the
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Yangtze River is also a storm-flood river with uneven distribution of precipitation and frequent occurrence of flood and drought. The influence of climate change on water allocation in the Yangtze River, especially on flood, has attracted increasing attention and concern. According to the Yangtze Conservation and Development Report 2007 (Yang et al. 2007), climate change is closely correlated with frequent drought and flood disasters especially extreme floods in the Yangtze basin. The frequency of floods hazard which has been fed mainly by precipitation in the Yangtze River is higher than elsewhere in China. Owing to its vast territory, complicated topography and typical monsoon climate, precipitation exhibits a big variability both spatially and temporally, presenting a decline tendency from southeast to northwest. Zhang et al. (2005) detected an upward trend in summer precipitation for the middle and lower reaches of the Yangtze River basin in the second half of the last century. Su et al. (2004) found significant upward trends in precipitation for the middle and lower Yangtze reaches in the 1990s. In the early years of twenty-first century, the fluctuations of precipitation became mild, but the time when extreme rainfall events occurred had shown a dispersed trend. Su et al. (2005) pointed that increasing precipitation extremes in June in the Yangtze River would increase the probability of flooding if the observed trends of the last 40 years continue into the future. Much attention has been paid to analyze the impact of climate change on the variability of mean precipitation and the precipitation extremes in the Yangtze River basin from different viewpoints (Su et al. 2009; Xu et al. 2009; Zhang et al. 2008; Huang et al. 2010). At present, general circulation models (GCMs) and large-scale circulation predictors are the most important and effective tools and indicators for studying the impact of climate change. For example, Xu et al. (2009) found that heavy precipitation events for single days and pentads would increase in their intensity over the Yangtze River basin by analyzing future projections of climate extremes directly derived from an ensemble of coupled general circulation models (CGCMs), under a range of emission scenarios in the Yangtze River basin. However, it is well-known that the spatial resolution of GCMs grids is too coarse to resolve many important sub-grid scale processes and GCM output is often unreliable at sub-grid scales (Wilby et al. 1999; Xu 1999; Maraun et al. 2010), they perform poorly at smaller spatial and temporal scales relevant to the regional impact analyses (Wilby et al. 2008). To bridge the gap of mismatch of scale between GCMs and the scale of interest for regional impacts study, dynamical downscaling and statistical downscaling methodologies have been developed by hydrometeorologists to convert GCMs outputs into local meteorological variables (Fowler et al. 2007). Statistical
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downscaling is aimed to derive empirical relationships that can transform large-scale features of the GCMs (Predictors) to regional-scale variables (Predictands) such as precipitation, temperature and streamflow (Tripathi et al. 2006). Compared with dynamical downscaling, statistical downscaling has several advantages such as comparatively cheap and computationally efficient, capable of estimating local-scale climatic variables from GCMs outputs, and easily transferable to other regions, etc. (Xu 1999). Due to its low expenditure on usage and the equivalent power as its dynamic competitor, the statistical downscaling technique has been widely employed in climate change impact assessments (Wilby et al. 1999; Huth 2002; Wetterhall et al. 2005; Tripathi et al. 2006; Ghosh and Mujumdar 2008; Chen et al. 2010). Statistical downscaling methods are generally classified into three categories (Fowler et al. 2007): regression models, weather typing schemes and weather generators (WGs). Among these statistical downscaling methods, regression models, which are used to directly quantify relationships between the predictands and a set of predictor variables, are possibly the most popular ones. SDSM is a hybrid of the WG and regression-based downscaling model, which is developed by Wilby et al. (1999, 2002). The stochastic component enables the generation of multiple simulations with slightly different time series attributes, but the same overall statistical properties. Many studies (Harpham and Wilby 2005; Dibike and Coulibaly 2005; Khan et al. 2006, Chu et al. 2010) have shown that this model has superior capability to evaluate local scale climate change impact. However, the procedure of predictors’ selection methods in SDSM is partly based on user’s subjective judgment. Hessami et al. (2008) developed a new tool under the Matlab environment named ASD, which was inspired by SDSM and improved the procedure in the selection of predictors. The purposes of this study are (1) to evaluate the applicability of the ASD model in the large geographic region of the Yangtze River basin which includes QinghaiTibet Plateau, Sichuan Basin and East China Plain area, and (2) to analyze the long term trend of precipitation in Yangtze River basin including future trends (2010–2099) which are predicted by GCM outputs and downscaled by the ASD method. To achieve the ultimate objectives, the study will be performed in the following steps: (1) selection of appropriate atmospheric predictors in the wide tempo-spatial space for the statistical downscaling model (ASD); (2) evaluation of the performance of the ASD method in downscaling precipitation in the Yangtze River in terms of carefully selected statistical criteria; (3) prediction of the future change of precipitation in the Yangtze River basin by using ASD; and (4) investigation of the future spatial and temporal changes of mean precipitation
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and the precipitation extremes over the Yangtze River basin under the climate change projections. The main implications of the study are twofold: First, the skills and problems of the ASD downscaling method in the large geographical region with vast territory, complicated topography and typical monsoon climate as exemplified by the Yangtze River basin will be of both scientifically and practically beneficial for other researchers in this field, and second, the results will provide a valuable scientific basis and background information for water resources planning and management, including flood and drought prediction in the Yangtze River basin.
2 Study area and data The Yangtze River passes through nine provinces of China and has a total drainage area of 1.8 9 106 km2 (Fig. 1). Except for some areas located on the Tibet Plateau, most parts of the basin have a sub-tropical monsoon climate, and the southern part of the basin is close to tropical climate and northern part is near to temperate climate. The mean annual precipitation in the basin varies from 300 to 500 mm in the western region to 1,600–1,900 mm in the southeastern region and the precipitation is mostly concentrated in the summer season (from June to August), accounting for nearly half of the annual totals. To have a brief idea on the climate of the study region, the Yangtze
Fig. 1 Location of the Yangtze River basin and its sub-basins, meteorological stations and the grid-boxes of HadCM3 outputs in the Yangtze River basin. 1: Jinshajiang River; 2: Mintuojiang River; 3: Jialingjiang River; 4: Wujiang River; 5: The upper mainstream
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River basin is divided into three parts along the longitude from west to east, which correspond well with the decrease in altitude (Xu et al. 2006). The upper, middle and lower regions as shown in Fig. 1 have a mean altitude of 2,551, 627 and 113 m above sea level (m.a.s.l), respectively. Furthermore, the Yangtze River basin is divided into 11 sub-catchments along the longitude from west to east (Fig. 1). Daily precipitation data of 138 meteorological stations during 1961–2001 provided by the National Climatic Centre of China were used in the current study. There are 26 different large-scale atmospheric variables (Table 1), which were derived from the daily reanalysis dataset of NCEP/NCAR for 1961–2001, as well as outputs of scenarios A2 and B2 of HadCM3 (Hadley Centre Coupled Model, version 3) from 1961 to 2099, representing the current climate condition and the future climate scenarios, respectively. The NCEP/NCAR reanalysis daily data and HadCM3 daily data both at a scale of 3.75° (long.) 9 2.5° (lat.) were downloaded freely from the internet sites, which had been normalized with respect to their 1961–1990 means and standard deviations. The geographical domain, 86.125°E–125.625°E, 21.25°N–38.75°N with 70 gridboxes was chosen to include all areas with noticeable influence on the circulation patterns that govern weather in the Yangtze River basin. Figure 1 also showed grid-boxes (3.75° lat. 9 2.5° long.) of large-scale atmospheric variables superposed on the map of the Yangtze River basin.
section; 6: Hanjiang River; 7: Dongtinghu Lake; 8: Poyanghu Lake; 9: The middle mainstream section; 10: the lower mainstream section; 11: Taihu Lake
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Table 1 The candidates of atmospheric variables for predictors No.
Variables
Description
No.
1
mslp
Mean sea level pressure
14
p5zh
500 hPa divergence
2
p_f
Surface airflow strength
15
p8_f
850 hPa airflow strength
3
p_u
Surface zonal velocity
16
p8_u
850 hPa zonal velocity
4
p_v
Surface meridional velocity
17
p8_v
850 hPa meridional velocity
5
p_z
Surface vorticity
18
p8_z
850 hPa vorticity
6
p_th
Surface wind direction
19
p800
850 hPa geopotential height
7
p_zh
Surface divergence
20
p8th
850 hPa wind direction
8
p5_f
500 hPa airflow strength
21
p8zh
850 hPa divergence
9
p5_u
500 hPa zonal velocity
22
rhum
Near surface relative humidity
10
p5_v
500 hPa meridional velocity
23
r500
Relative humidity at 500 hPa
11 12
p5_z p500
500 hPa vorticity 500 hPa geopotential height
24 25
r850 shum
Relative humidity at 850 hPa Near surface specific humidity
13
p5th
500 hPa wind direction
26
temp
Mean temperature
3 Methodology 3.1 Automated statistical downscaling 3.1.1 Regression methods As same to SDSM, the ASD model process can be conditional on the occurrence of an event (e.g. precipitation) or unconditional (e.g. temperature). Hence, the modeling of daily precipitation involves the following two steps: precipitation occurrence and precipitation amounts, as described by Hessami et al. (2008): n n X X O i ¼ a0 þ aj pij ; Ri ¼ b0 þ bj pij þ ei ð1Þ j¼1
where Zi are normally distributed random numbers, Se is the standard error of estimate, b is the model bias and VIF is the variance inflation factor. The NCEP reanalysis data are used for calibrating the ASD model. When using NCEP data, VIF and b are, respectively, set to 12 and 0. When using GCM data for scenario generation, the VIF and the bias can be set automatically using the following equations:
VIF ¼
12ðVobs Vd Þ S2e
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Description
where Vobs is the variance of observation during calibration period, Vd is the variance of deterministic part of model output during calibration period, Se is the standard error, Mobs and Md are the mean of observation and the mean of deterministic part of model output during calibration period, respectively. Regression-based downscaling methods often use multiple linear regressions, however, the nonorthogonality of the predictor vectors can make the least squares estimates of the regression coefficients unstable. In addition to multiple linear regressions, the present model gives the possibility to use the ridge regression (Hoerl and Kennard 1970) to alleviate the effect of the non-orthogonality of the predictor vectors.
j¼1
where Oi are the daily precipitation occurrences, Ri are daily precipitation amounts, pij are predictors, n is number of predictors, a and b are model parameters, ei is modeling error and it is modeled under the assumption that it follows a Gaussian distribution: rffiffiffiffiffiffiffiffi VIF ei ¼ Zi Se þ b ð2Þ 12
b ¼ Mobs Md
Variables
ð3Þ ð4Þ
3.1.2 Predictor selection methods Two methods are implemented based on backward stepwise regression (McCuen 2003) and partial correlation coefficients to select the predictors in ASD (Hessami et al. 2008). Partial correlation is the correlation between two variables after removing the linear effect of the third or more other variables. The partial correlation between variables i and j while controlling for third variable k is: Rij Rik Rjk Rij;k ¼ rffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 1 R2ik 1 R2jk
ð5Þ
where Rij is the correlation coefficient between variables i and j. For partial correlation method, the p value is used for eliminating any one of the insignificant predictors. The p value is computed by transforming the correlation R to create a t-statistic having n - 2 degrees of freedom, where n is the number of observations:
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R t ¼ qffiffiffiffiffiffiffiffi 1R2
161
ð6Þ
n2
The probability of the t-statistic indicates whether the observed correlation occurred by chance when the true correlation is zero. 3.2 Mann–Kendall test The Mann–Kendall method was used to analyze historical and future trends of climate variables (i.e. mean precipitation, total precipitation and the precipitation extremes) over the Yangtze River basin in this study. The Mann– Kendall test was originally devised by Mann (1945) and further derived by Kendall (1975) as a non-parametric test for detecting trends and distribution of the test statistic. The M–K method has been widely used for detecting a trend in hydro-climatic time series (Zetterqvist 1991; Burn and Elnur 2002; Yue et al. 2002; Arora et al. 2005; Aziz and Burn 2006; Zhang et al. 2006; Chen et al. 2007). The significance level of a = 5% is used in the study.
4 Downscaling precipitation 4.1 Selection of predictor variables and predictor domain The climatic system is influenced by the combined action of multiple atmospheric variables in the wide tempo-spatial space. Therefore, any single circulation predictor and/or small tempo-spatial space are unlikely to be sufficient, as they fail to capture key precipitation mechanisms based on thermodynamics and vapor content (Wilby 1998). Wilby and Wigley (2000) found that in many cases, maximum correlations between precipitation and the circulation predictors occurred away from the location of the grid-box of the downscaled station and suggested that selection of predictor domain was a critical factor affecting the realism and stability of downscaling models. The Yangtze River basin is strongly controlled by the East Asian monsoon and has different atmosphere circulation in different seasons. So, it is one of the most important steps in a downscaling exercise to select appropriate predictor variables and predictor domain from GCM in the wide tempo-spatial space. For each meteorological station, the procedures of ASD for selecting suitable predictor variables and domain were as following: Firstly, all of the 26 atmospheric variables in the grid-box, where the object station located in, and the surrounding eight grid-boxes were taken as candidate predictors; secondly, the partial correlation method with the significance level of 0.05 was employed in each grid-box of
nine, respectively, and the suitable predictors in each gridbox were selected; thirdly, the most suitable four gridboxes in the nine were chosen based on the model explained variance R2, which indicated the simulated capability of the selected predictors of each grid-box; and finally, the predictors in each grid-box of the selected 4 grid-boxes were further selected with partial correlation coefficients greater than 0.15 based on the previous step, and then the integrated predictors of the four grid-boxes for the downscaling model were chosen. The results of predictors’ selection by using ASD were summarized in Table 2. From Table 2, it could be seen that the final value of explained variance R2 after selecting predictors was greater than or equal to the maximum value of explained variance R2* of nine atmospheric grid-boxes in 90 stations (accounting for 65.22% of all stations of the Yangtze River Basin). So the predictors’ selection method of ASD can improve the simulated capability of the statistical downscaling. Furthermore, it was also found that most grid-boxes located by the stations were almost included in most suitable grid of four grid-boxes for each station, and the other three surrounding boxes respectively located in the right-hand, the bottom-right and the bottom of the station located grid-box. From the south-east of the quadrate region for selecting predictors to the most meteorological stations, it could be inferred that the precipitation of the Yangtze River basin is closely related to the Western Pacific subtropical high and southeast monsoon. 4.2 Calibration and validation of the downscaling model Before downscaling of the future precipitation with GCM predictors, the relationship between the selected predictors and precipitation in all stations needs to be calibrated and validated by using NCEP/NCAR predictors. The calibration period was from 1961 to 1990 and the validation period was from 1991 to 2001. To evaluate the capacity of ASD, the root mean square error (RMSE) between the observed and ASD simulated series of the five statistics indices and the coefficient of variation of the RMSE (CV(R)) were used. The five statistics indices included mean precipitation amount per days (Mean), standard deviation value (Std), the 90th percentile of rain day amount (Percentile90), percentage of wet days (Wet) and maximum number of consecutive dry days (Cod) (described in Table 3). The CV(R) is a normalized measure of variability between two sets of data and defined as: CVðRÞ ¼
RMSE x
ð7Þ
where x is the mean of the observed values.
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Table 2 Results of ASD model before and after predictor selection in each station of the Yangtze River basin Station
R2*
R2
Station
R2*
R2
Station
R2*
R2
Station
R2*
R2
Station
R2*
R2
Station
R2*
R2
52908
0.31
0.32*
56386
0.22
0.18
57178
0.28
0.25
57483
0.31
0.33*
57707
0.28
0.27
58236
0.32
0.30
56004
0.28
0.28*
56459
0.25
0.22
57206
0.28
0.28*
57494
0.34
0.36*
57713
0.27
0.28*
58238
0.32
0.28
56021
0.30
0.29
56462
0.28
0.28*
57232
0.35
0.37*
57504
0.25
0.27*
57722
0.28
0.24
58259
0.32
0.31
56029
0.27
0.28*
56475
0.23
0.24*
57237
0.33
0.36*
57516
0.27
0.29*
57731
0.25
0.22
58265
0.30
0.27
56034
0.32
0.31
56479
0.25
0.23
57245
0.33
0.39*
57537
0.26
0.32*
57741
0.26
0.25
58321
0.29
0.32*
56038
0.31
0.29
56485
0.29
0.25
57253
0.31
0.32*
57545
0.30
0.32*
57745
0.27
0.28*
58326
0.30
0.27
56096
0.21
0.21*
56492
0.22
0.22*
57259
0.30
0.30*
57554
0.30
0.32*
57766
0.29
0.27
58343
0.31
0.31*
56144
0.28
0.28*
56543
0.24
0.24*
57265
0.34
0.35*
57562
0.28
0.28*
57774
0.29
0.32*
58345
0.31
0.30
56146
0.23
0.24*
56565
0.25
0.22
57279
0.31
0.30
57574
0.29
0.33*
57776
0.28
0.33*
58358
0.28
0.34*
56152
0.31
0.31*
56571
0.20
0.20*
57306
0.27
0.28*
57583
0.32
0.33*
57793
0.31
0.29
58402
0.32
0.28
56167 56172
0.27 0.25
0.27* 0.21
56586 56651
0.25 0.24
0.25* 0.21
57313 57348
0.30 0.29
0.31* 0.31*
57584 57598
0.29 0.32
0.29* 0.29
57799 57803
0.29 0.29
0.29* 0.29*
58407 58424
0.34 0.31
0.27 0.29
56178
0.19
0.18
56671
0.28
0.30*
57355
0.30
0.31*
57602
0.21
0.23*
57816
0.28
0.31*
58436
0.35
0.35*
56182
0.25
0.22
56684
0.23
0.25*
57378
0.29
0.33*
57606
0.26
0.27*
57825
0.25
0.27*
58437
0.34
0.27
56188
0.24
0.25*
56691
0.30
0.31*
57385
0.29
0.30*
57608
0.22
0.24*
57832
0.29
0.32*
58464
0.28
0.29*
56193
0.25
0.26*
56768
0.29
0.31*
57399
0.32
0.26
57614
0.24
0.26*
57845
0.29
0.31*
58519
0.29
0.29*
56196
0.26
0.28*
56778
0.27
0.28*
57405
0.25
0.27*
57622
0.30
0.33*
57853
0.28
0.27
58527
0.34
0.34*
56247
0.23
0.20
57106
0.32
0.34*
57411
0.27
0.28*
57633
0.27
0.29*
57866
0.25
0.26*
58606
0.29
0.28
56251
0.27
0.26
57127
0.33
0.32
57426
0.31
0.32*
57649
0.29
0.30*
57872
0.28
0.28*
58608
0.31
0.28
56287
0.26
0.22
57134
0.32
0.33*
57447
0.34
0.37*
57655
0.27
0.28*
57896
0.27
0.28*
58626
0.31
0.31*
56294
0.24
0.26*
57143
0.31
0.34*
57458
0.29
0.27
57669
0.28
0.34*
57965
0.23
0.21
58634
0.33
0.32
56357
0.27
0.26
57144
0.30
0.34*
57461
0.28
0.30*
57671
0.27
0.25
57972
0.29
0.29*
58715
0.32
0.29
56385
0.30
0.29
57156
0.25
0.19
57476
0.28
0.32*
57682
0.31
0.33*
57993
0.26
0.25
58813
0.32
0.32*
2
2
Note: R * is the maximum value of explained variance of ASD model in nine atmospheric grid-boxes and R is final value of explained variance of ASD model after predictor selection for each station. Superscript ‘*’ indicates the R2 value equal or larger than R2* value
Table 3 Precipitation indices to evaluate the performance of statistical downscaling models Indices
Definition
Unit
Time scale
Mean
Mean precipitation amount
mm/day
Month
Std
Standard deviation value
mm/day
Month
Percentile90
90th percentile of rain day amount
mm
Month
Wet
Percentage of wet days (threshold C 0.1 mm)
%
Month
Cdd
Maximum number of consecutive dry days
day
Month
The calibration and validation results were shown in Table 4. It could be seen that the mean values of the estimated statistics indices in each sub-catchment of the Yangtze River basin in calibration and validation periods were close to those of observed series and the most relative biases between them were about 10% except for Cdd index. The RMSEs of most statistical indices were small in each sub-catchment in the calibration period except for Cdd index, and the CV(R) values of most statistical indices were below 0.1. However, in the validation period, the RMSE of most statistical indices were greater than the values in the
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calibration period and the most CV(R) values were greater than 0.2. The comparison of RMSE of the statistics indices also showed that the Std and the Cdd were simulated poorer than the other three statistics indices, which suggested a relative weak capacity of ASD to capture the extreme events of precipitation process, as in most other statistical downscaling models (e.g. Srikanthan and McMahon 2001), and this defect of stochastic precipitation models will need to be remedied (Wilks 1989; Gregory et al. 1993). According to Wilby et al. (2004), this might attribute to the more stochastic nature of precipitation
2.03 0.39
Validation 3.54 0.62
3.04 0.15 2.97 0.58
Validation
4.50 0.92
Validation 3.46 0.69
Validation
3.43 0.87
3.13 0.69
Calibration 3.13
Validation
Average
3.15
3.01 0.16
Calibration 3.06 Validation 3.34
2.90 0.21 2.94 0.96
3.25 0.21
Validation
3.58
Calibration 3.42
3.52
3.40 0.20
Calibration 3.56
4.87
4.27 0.16
Calibration 4.39
Taihu Lake
The lower main stream section
The middle main stream section
Poyanghu Lake
3.72 0.78
3.63 0.21
Dongtinghu Lake Calibration 3.80
3.84
2.27 0.53
2.28
Validation
2.35 0.15
Calibration 2.45
2.92
Calibration 3.15
Validation
Hanjiang River
The upper main stream section
2.98 0.13 3.14 0.68
Calibration 3.09
Validation
Wujiang River
3.10
Calibration 2.63 Validation 2.37
2.50 0.18 2.44 0.57
2.87 0.15
Validation
2.81
Calibration 2.97
2.01
Jialingjiang River
Mintuojiang River
1.90 0.06
Calibration 1.91
Jinshangjiang River
0.22
0.05
0.07 0.28
0.24
0.06
0.20
0.06
0.19
0.04
0.22
0.05
0.22
0.06
0.20
0.05
0.22
0.04
0.07 0.24
0.21
0.05
0.20
0.03
8.68 2.45
8.77 1.05
6.87 1.95
6.53 1.47
6.89 1.54
7.12 0.94
6.73 1.96
6.49 0.75
6.15 1.15 6.14 2.09
5.71 1.50
5.67 1.16
3.87 0.77
3.78 0.46
7.81
7.71
8.38 8.83
9.53
9.12
9.55
9.52
7.47 2.12
7.28 1.03
7.82 1.24 7.87 2.46
8.81 2.05
8.62 1.18
9.30 2.87
9.01 0.98
11.21 11.32 3.70
0.27
0.14
0.15 0.27
0.22
0.13
0.29
0.10
0.34
0.09
0.29
0.11
0.28
0.22
0.22
0.12
0.27
0.11
0.16 0.35
0.23
0.17
0.20
0.13
9.74
9.42 0.80 9.76 2.15
20.16 18.28 4.42
18.98 17.97 1.68
21.61 20.17 2.12 24.52 20.69 6.74
26.06 22.87 6.44
23.51 21.83 2.38
25.34 23.38 5.00
24.43 22.90 2.19
29.18 25.47 5.65
25.43 24.65 1.70
23.06 20.89 4.93
22.31 20.97 1.98
18.90 16.87 4.72
18.04 16.86 1.75
17.85 16.98 3.34
18.02 17.23 1.49
16.54 15.57 3.64
15.85 15.13 1.25
16.35 15.46 1.64 16.22 15.62 3.45
13.45 13.01 2.52
0.08
0.21
0.09
0.10 0.27
0.25
0.10
0.20
0.09
0.19
0.07
0.23
0.09
0.23
0.10
0.18
0.08
0.22
0.08
0.10 0.21
0.18
0.08
0.19
39.75 42.48 5.09
42.82 43.30 0.65
38.52 39.25 0.81 35.90 38.89 4.89
34.48 38.84 5.76
38.54 39.16 0.77
36.72 39.33 4.80
39.62 40.19 0.72
43.81 45.71 4.84
45.68 45.84 0.60
44.10 45.20 4.32
47.66 47.95 0.63
30.40 33.54 4.21
34.13 35.09 1.12
43.64 46.75 4.80
47.20 47.51 0.58
49.51 53.30 5.37
53.24 53.23 0.35
38.38 38.73 0.52 34.38 37.90 5.27
46.45 47.11 5.84
49.44 49.51 0.41
37.89 40.68 5.91
0.02
0.13
0.02
0.02 0.14
0.17
0.02
0.13
0.02
0.11
0.01
0.10
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0.03
0.11
0.01
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0.01 0.16
0.13
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0.16
8.59 7.15 2.38
7.96 6.64 1.53
8.40 7.21 1.31 9.34 7.21 2.60
9.68 6.99 3.09
8.73 6.98 1.98
9.06 6.97 2.53
8.47 6.87 1.85
8.25 6.14 2.63
7.89 6.19 2.02
7.88 8.08 2.01
7.19 5.87 1.51
10.33 8.11 2.76
9.44 7.97 1.83
7.19 5.83 1.76
6.49 5.68 1.00
6.42 4.88 1.80
5.80 4.88 1.05
8.10 7.12 1.26 8.98 7.15 2.34
7.18 9.09 2.06
6.81 5.81 1.27
10.23 8.24 2.62
10.22 8.45 1.78
0.28
0.19
0.16 0.28
0.32
0.23
0.28
0.22
0.32
0.26
0.26
0.21
0.27
0.19
0.25
0.15
0.28
0.18
0.15 0.26
0.29
0.19
0.26
0.18
SIM RMSE CV(R)
Cdd (day/month) RMSE CV(R) OBS
38.66 39.82 0.65
SIM
Wet (%)
RMSE CV(R) OBS
13.45 13.03 1.20
10.65
SIM
Percentile90 (mm/month) RMSE CV(R) OBS
10.30 10.17 0.95
9.29
9.24
6.58
6.82
7.23
7.58
7.21
6.97
6.94 6.53
6.05
6.19
3.93
3.74
SIM
Std (mm/day)
OBS SIM RMSE CV(R) OBS
Mean (mm/day)
Periods
Sub-catchments
Table 4 Comparison of the statistics indices between observed and simulated results for each sub-catchment in the Yangtze River basin during calibration (1961–1990) and validation (1991–2001) periods based on NCEP predictors
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Stoch Environ Res Risk Assess (2012) 26:157–176 56034 (Qingshuihe) Station
57461 (Yichang) Station Mean (mm/day)
Mean (mm/day)
SIM
3
2 1.5 1 0.5
8
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SIM
6 5 4 3 2 0
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9
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OBS
35
SIM
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3
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11
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10 8 6 4 2 0
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5 0
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CDD (day)
CDD (day)
CDD (day)
7
OBS
14
SIM
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5
15 10
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1
4
Month
16
12
50
45 40
40
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14
3
50 SIM
10
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10 1
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1
OBS 50
60
0
8 6
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SIM
SIM
10
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60 OBS
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1
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0 7
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PREC90 (mm/day)
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0 2
45
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5
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STCD (mm/day)
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Mean (mm/day)
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0
58238 (Nanjing) Station
9
4 3.5
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5
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6
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9
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1
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Fig. 2 Validation results of ASD for precipitation in 56034 (Qingshuihe), 57461 (Yichang) and 58238 (Nanjing) stations, respectively
occurrence and magnitude, and the regression-based statistical downscaling models often cannot explain entire variance of the downscaled variable. In order to visually show the skills of ASD in downscaling the precipitation in the Yangtze River basin, the comparison of the simulated and observed mean monthly values of the 5 indices in the validation period is shown in Fig. 2 for three randomly selected stations from upper, middle and lower reaches of the river, respectively. It is seen that ASD could capture the monthly values of the statistical indices of precipitation reasonably well. Above all, although ASD has some limitations in capturing the extreme events of precipitation process, it can reasonably well reflect the occurrence and the total amount of precipitation and can be utilized for statistical
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downscaling precipitation of the Yangtze River basin for practical uses. 4.3 Downscaling precipitation under future emission scenarios The validated ASD was used to downscale the large-scale predictor variables derived from A2 and B2 scenarios of HadCM3 and daily precipitations were simulated for the following periods: the current (1961–2001), 2020s (2010–2039), 2050s (2040–2069) and 2080s (2070–2099). Compared to the simulated current values, the deviations of simulated annual precipitation in different periods were calculated and listed in Table 5. Under the A2 scenario, the predicted annual precipitation during 2020s
12.86 1546.57 8.85 1491.63 2.26 1401.39 1370.37 17.75 1644.70 8.96 1521.91 1391.79 1396.75 Average
-0.35
38.30 2296.80 19.01 1976.40 5.78 1756.80 1660.77 37.71 2350.80 24.22 2120.40 1764.00 1707.04 Taihu Lake
The lower mainstream section
1746.00
3.34
8.78
10.29 1954.80 7.44 1904.40 -2.51 1728.00 1772.46 7.69 1958.40 3.14 1875.60
10.09
1818.54
-3.99
1908.00
2214.00 9.02
7.75 1890.00
2192.40 3.47
-0.05 1753.20
2080.80 2011.06
1753.99 9.95
12.12 2289.60
1994.40 4.79
7.01 2185.20
1900.80 The middle mainstream section
0.31 2048.40
1764.00
2042.01
1813.97
Poyanghu Lake
-2.75
-1.59 17.28 1306.80 1958.40 4.37 11.89 1386.00 1868.40 -7.01 7.36 1234.80 1792.80 1327.93 1669.85 4.15 26.93 1407.60 2178.00 4.42 12.66 1411.20 1933.20 1339.20 1728.00 1351.49 1715.97 Hanjiang River Dongtinghu Lake
The upper mainstream section
1368.00
-0.91 0.70
17.79
11.17 1526.40 5.67 1450.80 0.16 1375.20 1372.98 18.34 1663.20 6.30 1494.00
12.29
1405.42
-2.66
1501.20
1256.40 7.14
9.32 1393.20
1198.80 -1.22
5.65 1346.40
1105.20 1118.88
1274.45 25.02
15.51 1310.40
1620.00 12.52
7.26 1216.80
1458.00 -0.81
1130.40
1285.20
According to the hydrometeorological characteristics of the Yangtze River basin, extreme precipitation events are the main causes for the flood hazards in the basin (Zhang et al. 2005). In this section, the spatial and temporal patterns of trends of precipitation extremes and precipitation intensity over the Yangtze River basin for 2010–2099 based on downscaled daily precipitation by ASD would be explored using Mann–Kendall trend test. In this study two groups of statistics were used for exploring the
Wujiang River
1134.49
would decrease in most sub-catchments of the Yangtze River basin except for Dongtinghu Lake and Poyanghu Lake regions. However, during 2050s and 2080s the annual precipitation is predicted to increase in all sub-catchments of the Yangtze River basin by about 3.14–24.22% and 4.15–40.71%, respectively. Under B2 scenario, the predicted annual precipitation would have mix-trends in each sub-catchment of Yangtze River basin during 2020s, but increase in all sub-catchments by about 1.59–19.01% during 2050s and 5.59–38.30% during 2080s, respectively; with one exception for Hanjiang River region during 2080s where a slight decrease was simulated. When Yangtze River basin was considered as a whole, the predicted annual precipitation would decrease by 0.35% during 2020s, but increase 8.96% during 2050s and 17.75% during 2080s, respectively, under A2 scenario; while successively increase during the 3 future periods by about 2.26, 8.85 and 12.86%, respectively, as far as B2 scenario was concerned. Above all, the amount of precipitation would be upward in the future in the Yangtze River basin according to these results. Furthermore, the spatial distribution patterns of the relative changes of mean annual precipitation of the Yangtze River basin between current period and future periods for the both climate change scenarios, were interpolated by using the inverse distance weighting method (IDW), which was based on the assumption that the interpolating surface should be influenced mostly by nearby points and less by more distant points. The interpolation results are geographically displayed in Fig. 3. It can be seen that the predicted precipitation under A2 scenario would decrease in most regions of the basin during 2020s, while increase in most regions of the basin during 2050s and 2080s. Under B2 scenario, the predicted precipitation would increase in most regions of the basin during all three future periods. The biggest increasing trend under both emission scenarios in the future periods would mostly dominate in the eastern part of the upper region and the southern and central parts of the middle region.
1295.74
-0.36
165
5 Predicted trends of precipitation extremes under future emission scenarios
Jialingjiang River
5.59
29.88 1490.40
759.60 1.59
18.59 1360.80
730.80 2.09
7.92 1238.40
734.40 719.35
1147.48 40.71
8.79 781.20
1627.20 20.17
4.27 748.80
1389.60 4.60
-0.74 712.80
1209.60
718.10
2080s (mm) Changes (%) 2050s (mm) Changes (%) 2020s (mm)
1156.41 Mintuojiang River
Jinshangjiang River
Current (mm) Current (mm)
Sub-catchment
Table 5 Comparison of the changes of mean annual precipitation under future emission scenarios
Changes (%)
B2 A2
2020s (mm)
Changes (%)
2050s (mm)
Changes (%)
2080s (mm)
Changes (%)
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Fig. 3 Spatial distribution of relative changes of mean annual precipitation between the current period (1961–2001) and future periods (2020s, 2050s, 2080s) in the Yangtze River basin
characteristics of precipitation extremes: Group 1 includes (1) maximum daily precipitation, (2) frequency of rainy days, (3) precipitation intensity, and (4) frequency of nonrainy days. And group 2 includes frequency of rainy days and precipitation intensity for daily precipitation exceeding 90th percentiles. The one-day maximum precipitation within a year and in summer denoted annual maximum precipitation and seasonal maximum precipitation respectively. 5.1 Spatial distribution of MK trends of the precipitation extremes The precipitation in the Yangtze River basin has significant regional differences due to its large area, various terrains and vegetations, fickle climatic system and inconstant urbanization condition. Figures 4, 5, 6 and 7 illustrate the
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spatial distribution of MK trends of precipitation extremes over the Yangtze River basin. 5.2 Precipitation extremes as measured by Group 1 statistical indices The spatial distribution of MK trends of annual precipitation extremes during the future period (2010–2099) under A2 and B2 emission scenarios in the Yangtze River basin was drawn in Fig. 4. Under A2 scenario, about 2/3 of stations have no significant trends, while the rest 1/3 of stations mainly lie in the middle region (Fig. 4 IA2) have significant increasing trends in annual maximum precipitation. As for the frequency of rainy days, the number of stations with significant increasing/decreasing trend was 36.23/15.22% respectively, with 48.55% of the stations have no significant changing trend (Fig. 4 JA2). For the
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Fig. 4 MK trend of annual extreme precipitation evens in the Yangtze River basin (2010–2099) calculated by 138 stations under A2 (IA2, JA2, KA2, LA2) and B2 (IB2, JB2, KB2, LB2) scenarios
precipitation intensity, the number of stations with significant increasing trend was 54.35%, with 43.48% of the stations have no significant changing trend, and most of the stations with significant precipitation increases locate in the middle region (Fig. 4 KA2). Most stations showed opposite sign for the change of frequency of non-rainy days as compared with those of frequency of rainy days (Fig. 4
LA2). Under B2 scenario, most of stations show no significant trends of daily maximum precipitation and precipitation intensity, while only 27 stations in the middle and lower region show significant increasing trend in the annual maximum precipitation and one station presents significant decreasing trend in precipitation intensity, which has similar changing trend as those under A2
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Fig. 5 MK trend of summer extreme precipitation evens in the Yangtze River basin (2010–2099) calculated by 138 stations under A2 (IA2, JA2, KA2, LA2) and B2 (IB2, JB2, KB2, LB2) scenarios
scenario (Fig. 4 IB2, KB2). As for the frequency of rainy days, the number of stations with significant increasing/ decreasing trend was 13.04/15.94% respectively, with 71.01% of the stations have no significant changing trend, which mainly lie in the upper Jinshajiang, Mintuojiang, Jialingjiang, and Dongtinghu regions (Fig. 4 JB2). As for the frequency of non-rainy days, the stations showed same
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sign with no significant changing trend and showed opposite sign with significant increasing/decreasing trend as compared with those of frequency of rainy day (Fig. 4 LB2). The spatial distribution of MK trends of the four indices for summer precipitation extremes in the Yangtze River basin was plotted in Fig. 5 and similar patterns exist as
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compared with those of the annual extremes. Under A2 scenario, 65.94% of stations have no significant trend, while the 32.61% of stations, which mainly locate in the middle region have significant increasing trends in summer maximum precipitation (Fig. 5 IA2). As for the frequency of rainy days, the number of stations showing significant increasing/decreasing trend and no significant trend for about 20.29/23.91 and 55.80%, respectively (Fig. 5 JA2). As for the frequency of non-rainy days, the opposite changing patterns can be observed (Fig. 5 LA2). For the precipitation intensity, the number of stations with no significant trend was 51.44%, with 46.38% of the stations have significant increasing trend, which mainly locate in the upper Jinshajiang, lower Mintuojiang, Wujiang, Dongtinghu Lake and Taihu Lake region (Fig. 5 KA2). Under B2 scenario, more than 83.30% of the stations show no significant trend in summer maximum precipitation, and only 22 stations mainly locate in the middle region show significant increasing trend and only one station also in the middle region has a significant decreasing trend (Fig. 5 IB2). For the frequency of rainy days, the number of stations with significant increasing/decreasing trend was 7.25/ 25.36% respectively, and the stations with increasing trend mainly locate in Mintuojiang region, while 67.39% of the stations have no significant changing trend (Fig. 5 JB2). Most stations showed opposite change patterns for the change of frequency of non-rainy days as compared with those of frequency of rainy days (Fig. 5 LB2). For the precipitation intensity, 63.77% of the stations show no significant trend, and most of remaining stations, which also mainly locate in the upper Jinshajiang, lower Mintuojiang, Wujiang, Dongtinghu Lake and Taihu Lake region, have significant increasing trend (Fig. 5 KB2).
declined to 13.04% and the number of stations with no obvious trend increased to 72.46% as for frequency of rainy days (Fig. 6 IB2, JB2). The spatial distribution of MK trends of the precipitation maxima defined by 90th percentiles in summer was displayed in Fig. 7. It can be seen from Fig. 7 IA2 and IB2 that the stations showing significant decreasing trend of the frequency of rainy days can be found in every sub-catchments except Poyanghu Lake and Dongtinghu Lake, and the proportions of these stations with decreasing trends were 23.91 and 22.46%, respectively for A2 and B2 scenarios. The number of stations with increasing trend for the frequency of rain days was 17.39% under A2 scenario (mainly locate in the upper Jinshajiang, Mintuojiang, Jialingjiang, Wujiang and Dongtinghu region) (Fig. 7 IA2), while the number declined to 5.80% under B2 scenario (mainly locate in the upper Jinshajiang, Mintuojiang and Jialingjiang region) (Fig. 7 IB2). There were 37.7 and 24.6% of the total stations having significant upward trends for the intensity of precipitation under A2 and B2 scenarios, which mostly locate in the Dongtinghu Lake, Wujiang, Mintuojiang and the upper of Jinshajiang region (Fig. 7 JA2, JB2). It can also be seen that only one station locates in the upper mainstream section was dominated by the significant decreasing trend of precipitation intensity under both climatic scenarios (Fig. 7 JA2, JB2). As for the frequency of rainy days and the intensity of precipitation, Fig. 7 shows that the number of the stations with no obvious trend exceeded 50% under the both climatic scenarios.
5.2.1 Precipitation extremes as measured by Group 2 statistical indices
In order to study the temporal variability of precipitation extremes in future, the temporal changes of MK trends of the annual and summer precipitation maxima in the upper, middle and lower regions of Yangtze River basin were respectively plotted in Figs. 8, 9, 10 and 11 which are classified using the same statistical indices as before.
Figures 6 illustrate the changes of annul precipitation maxima defined by daily precipitation exceeding 90th percentiles. Under A2 scenario, it could be detected that the number of stations with increasing/decreasing trend and no obvious trend was 35.51/14.49, and 50.00%, respectively (Fig. 6 IA2), and the stations with increasing trend mainly locate in the upper Jinshajiang, Mintuojiang and Dongtinghu region. As for the precipitation intensity exceeding 90th percentile, the number of stations with significant increasing/decreasing trend and no significant trend was 47.83/1.45, and 50.72%, respectively (Fig. 6 JA2), and the stations with increasing trend also mainly lie in the upper Jinshajiang, Mintuojiang, Wujiang and Dongtinghu region. Under B2 scenario, the similar changing pattern was exhibited as compared with those under A2 scenario, except that the number of stations with increasing trend
5.3 Temporal changes of MK trends of the precipitation extremes
5.3.1 Precipitation extremes as measured by Group 1 statistical indices Figure 8 demonstrates temporal changes of MK trends of the annual maximum precipitation under A2 and B2 scenarios in the Yangtze River basin. Under A2 scenario, the annual maximum precipitation in the lower region is in decreasing trend during 2010–2058 and in increasing trend after 2058 but neither of them is significant at [95% confidence level, while the changing patterns of the upper and middle regions are in no obvious trend during the first two decades, in increasing trend during 2030–2065 and in
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Fig. 6 MK trend of annual precipitation extreme evens defined as daily precipitation exceeding 90th percentiles in the Yangtze River basin (2010–2099) calculated by 138 stations under A2 (IA2, JA2) and B2 (IB2, JB2) scenarios
Fig. 7 MK trend of summer precipitation extreme evens defined as daily precipitation exceeding 90th percentiles in the Yangtze River basin (2010–2099) calculated by 138 stations under A2 (IA2, JA2) and B2 (IB2, JB2) scenarios
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6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 2010
171 6
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2
-4
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2020
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-4 2010
2020
upper Yangtze River basin
IA2, IB2: maximum annual precipitation
middle Yangtze River basin
JA2, JB2: frequency of rain day
lower Yangtze River basin
KA2, KB2: precipitation intensity
95% confidence leveal
LA2, LB2: frequency of non-rain day
Fig. 8 Temporal changes of MK trend Z-value of areal-averaged annual extreme precipitations in the Yangtze River basin (2010–2099) under A2 (IA2, JA2, KA2, LA2) and B2 (IB2, JB2, KB2, LB2) scenarios
significant increasing trend at [95% confidence level after 2065 (Fig. 8 IA2). Under B2 scenario, it is indicated that the annual maximum precipitation has no obvious changing patterns during 2010–2045 in the whole Yangtze River basin, while the changing patterns of middle region are in
significant increasing trend at [95% confidence level after 2050, and the same is true for upper and lower regions after 2075 (Fig. 8 IB2). As for the frequency of rainy days, the upper region does not show any obvious trend during 2010–2050 and after 2050 is in increasing trend, while the
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Fig. 9 Temporal changes of MK trend Z-value of areal-averaged summer extreme precipitations in the Yangtze River basin (2010–2099) under A2 (IA2, JA2, KA2, LA2) and B2 (IB2, JB2, KB2, LB2) scenarios
middle and lower regions show increasing trend after middle 2030s under A2 scenario (Fig. 8 JA2), but none of them is significant; while under B2 scenario, the upper region is in increasing trend during 2010–2025 but in
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decreasing trend after 2025, and the middle and lower regions are in decreasing trend from late 2020s to 2050 (Fig. 8 JB2). As for the number of non-rainy days, the opposite changing patterns under A2 and B2 are found
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95% confidence leveal Fig. 10 Temporal changes of MK trend Z-value of areal-averaged annual precipitation extremes defined by 90th percentiles in the Yangtze River basin (2010–2099) under A2 (IA2, JA2) and B2 (IB2, JB2) scenarios
(Fig. 8 LA2, LB2). As for the precipitation intensity, the middle and lower regions are in increasing trend during 2018–2050 and the upper region is in decreasing trend during 2010–2038 and in increasing trend during 2038–2050, and the increasing trend in the whole Yangtze River basin becomes significant at [95% confidence level after 2050 under A2 scenario (Fig. 8 KA2). Under B2 scenario, the middle region shows the same changing pattern as under A2 scenario, and the upper and lower regions do not show any trend in the first three decades and are in increasing trend during 2040–2070 and these increasing trends are significant at [95% confidence level after 2070 (Fig. 8 KB2). The results of similar study conducted for summer precipitation extremes are shown in Fig. 9, which reveals a similar changing pattern as the annual precipitation extremes in some cases. Under both climatic scenarios, the maximum precipitation in the lower region is in increasing trend during the future 90 years and that of the middle region after the middle of this century (Fig. 9 IA2, IB2). The year when the increasing trend of the maximum precipitation in the lower region becomes significant is about 2050 under A2 and 2070 under B2 (Fig. 9 IA2, IB2). As for the frequency of rain day, under A2 scenario, the upper
region is in decreasing trend during 2015–2040 and in increasing trend thereafter but no significant trend is detected in the middle and lower regions (Fig. 9 JA2); under B2 scenario, the whole Yangtze River basin is in increasing trend during 2010–2022 and in decreasing trend after 2022 (Fig. 9 JB2). Meanwhile, these trends of frequency of non-rainy days are opposite to what are shown in Fig. 9 JA2 and JB2 (Fig. 9 LA2, LB2). As for the precipitation intensity, the lower region is in increasing trend during the future 90 years under both climatic scenarios, the middle region is in significant increasing trends until the middle of this century under both climatic scenarios, the upper region is in significant increasing trend after 2050s under A2 scenario and after middle 2070s under B2 scenario. 5.3.2 Precipitation extremes as measured by Group 2 statistical indices Figures 10 and 11 show the frequency and intensity of precipitation that exceeding 90th percentile under botJh emission scenarios. For the annual events, the frequency of precipitation exceeding 90th percentile will increase after 2038 in the middle and lower regions under A2 scenario
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95% confidence leveal Fig. 11 Temporal changes of MK trend Z-value of areal-averaged summer precipitation extremes defined by 90th percentiles in the Yangtze River basin (2010–2099) under A2 (IA2, JA2) and B2 (IB2, JB2) scenarios
(Fig. 10 IA2), and decrease after 2026 in the upper region under B2 scenario (Fig. 10 IB2). For the summer extremes, the frequency will increase after 2040 in the upper region under A2 scenario (Fig. 11 IA2), and decrease after 2030 in the whole basin under B2 scenario (Fig. 11 IB2). However, all the change trends for the frequency of precipitation exceeding 90th percentile mentioned above, were not significant. Under A2 scenario, the precipitation intensity will increase significantly after 2050 in the upper and middle regions for the whole year and summer (Figs. 10 JA2, 11 JA2), respectively. Under B2 scenario, the significant increasing trends of the annual precipitation intensity will appear after 2048 in the middle region, and after 2070 in the upper and lower regions for the whole year (Fig. 10 JB2), whereas, significant increasing trends only appear in the middle region after 2044, as far as the summer precipitation intensity is concerned (Fig. 11 JB2).
atmospheric variables from two GCMs were downscaled to obtained daily precipitation for the basin. The spatial– temporal changes of the amount and the extremes of precipitation in the Yangtze River Basin during 2010–2099 under A2 and B2 emission scenarios were investigated. Some interesting conclusions can be described as follows:
6 Conclusion
(2)
In this paper, the applicability of the ASD statistical downscaling model in downscaling daily precipitation in the Yangtze River basin was evaluated, and the large scale
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(1)
For selecting the predictor domain by ASD, it was found that the most suitable four grid-boxes for each station were almost situated at the south-east of the quadrate region of predictor selection, which indicated that the precipitation of the Yangtze River basin was closely related to the Western Pacific subtropical high and Southeast monsoon. According to the summary of the selection of predictor variables, it was clearly seen that precipitation in each subcatchment of the Yangtze River basin was sensitive to wind direction, specific humidity and zonal velocity. It has been proven that ASD is a successful statistical downscaling method in the study region. It can be seen that the mean values of the estimated statistics indices in each sub-catchment of the Yangtze River for both calibration and validation periods are similar
Stoch Environ Res Risk Assess (2012) 26:157–176
(3)
(4)
to observed data and the relative bias between them is generally within 10% and the simulation skill of ASD for the daily precipitation is gradually increased from the upstream to the downstream. Above all, the variation characteristics of precipitation can be reasonably produced. The results for downscaling precipitation under scenario A2 showed that the predicted annual precipitation would decrease in all sub-catchments during 2020s, while increase in all sub-catchments of the Yangtze River Basin during 2050s and 2080s, respectively. However, the predicted annual precipitation would have a mix-trend in each sub-catchment of Yangtze River basin during 2020s, but increase in all sub-catchments during 2050s and 2080s, respectively, except for the Hanjiang Basin during 2080s, as far as B2 scenario is concerned. The spatial and temporal change trends of precipitation maxima and precipitation intensity were explored by using Mann–Kendall test over the Yangtze River basin for 2010–2099 based on downscaled daily precipitation by ASD. The results revealed that the significant increasing trend of the precipitation intensity and maximum precipitation would mainly occur in the northwest upper part and the middle part of the Yangtze River basin for the whole year and summer under both climate change scenarios. However, other statistical indices for precipitation extremes showed the inconsistent trends in all situations. Hence, the northwest upper and middle Yangtze River basin might encounter higher risk of flood hazards in future. The extreme precipitation will be enhanced in the Yangtze River Basin, generally after about 2050, which was illuminated by significant increasing maximum precipitation and precipitation intensity. The period of 2040–2060 can be regarded as the starting point for pattern change of precipitation maxima. Extreme precipitation as measured by intensity will be in significant increasing trend after about mid-2040s in the upper part of the Yangtze River basin and about 2060s in the middle and lower parts of the Yangtze River basin.
Due to the uncertainties of GCMs, climatic scenarios, downscaling methods, and also trend analysis methods, the prediction of variability of precipitation in the Yangtze River basin under the climate change conditions in this study only serves as a reference for decision making and for further studies. Acknowledgments The study is financially supported by the National Program on Key Basic Research Project (973 Program) (2010CB428405) and National Natural Science Fund of China (50809049). The authors are greatly appreciated the Canadian
175 Climate Change Scenarios Network (CCCSN) for providing the downscaling tool (ASD) and the reanalysis products of the NCEP and HadCM3 outputs for the downscaling tool. The authors also thank the National Climate Centre of China for supplying the daily precipitation data of meteorological stations in the Yangtze River Basin.
References Arora M, Goel NK, Singh P (2005) Evalution of temperature trends over India. J Hydrol Sci 50(1):81–93 Aziz OIA, Burn DH (2006) Trends and variability in the hydrological regime of the Mackenzie River Basin. J Hydrol 319(1–4):282– 294 Bate BC, Kundzewicz ZW, Wu S, Palutikof J (eds) (2008) Climate change and water. Technical paper of the Intergovernmental panel on climate change. IPCC Secretariat, Geneva, pp 15–18 Burn DH, Elnur MAH (2002) Detection of hydrologic trends and variability. J Hydrol 255:107–122 Chen H, Guo SL, Xu C-Y, Singh VP (2007) Historical temporal trends of hydro-climatic variables and runoff response to climate variability and their relevance in water resource management in the Hanjiang basin. J Hydrol 344:171–184 Chen H, Guo J, Xiong W, Guo S-L, Xu C-Y (2010) Downscaling GCMs using the Smooth Support Vector Machine method to predict daily precipitation in the Hanjiang Basin. Adv Atmos Sci 27(2):274–284 Chu JT, Xia J, Xu C-Y, Singh VP (2010) Statistical downscaling of daily mean temperature, pan evaporation and precipitation for climate change scenarios in Haihe River of China. Theor Appl Climatol 99:149–161 Dibike YB, Coulibaly P (2005) Hydrologic impact of climate change in the Saguenay watershed: comparison of downscaling methods and hydrologic models. J Hydrol 307:145–163 Fowler HJ, Blenkinsopa S, Tebaldib C (2007) Linking climate change modelling to impacts studies: recent advances in downscaling techniques for hydrological modelling. Int J Climatol 27:1547– 1578 Ghosh S, Mujumdar PP (2008) Statistical downscaling of GCM simulations to streamflow using relevance vector machine. Adv Water Resour 31(1):132–146 Gregory JM, Wigley TML, Jones PD (1993) Application of Markov models to area-average daily precipitation series and interannual variability in seasonal totals. Clim Dyn 8:299–310 Harpham C, Wilby RL (2005) Multi-site downscaling of heavy daily precipitation occurrence and amounts. J Hydrol 312:235–255 Hessami M, Gachon P, Ouarda T, St-Hilaire A (2008) Automated regression-based Statistical Downscaling Tool. Environ Model Softw 23:813–834 Hoerl AE, Kennard RW (1970) Ridge regression: application to nonorthogonal problems. Technometrics 12:69–82 Huang J, Zhang J, Zhang ZX, Xu C-Y, Wang B, Yao J (2010) Estimation of future precipitation change in the Yangtze River basin by using statistical downscaling method. Stoch Environ Res Risk Assess. doi:10.1007/s00477-010-0441-9 Huth R (2002) Statistical downscaling of daily temperature in Central Europe. J Clim 15:1731–1742 IPCC (2007) Climate change 2007: Synthesis Report Forth Assessment Report of the Intergovernmental panel on climate change, Geneva, Switzerland Kendall MG (1975) Rank correlation methods. Griffin, London Khan MS, Coulibaly P, Dibike Y (2006) Uncertainty analysis of statistical downscaling methods. J Hydrol 319:357–382 Mann HB (1945) Non-parametric test against trend. Econometrica 13:245–259
123
176 Maraun D, Wetterhall F, Ireson AM, Chandler RE, Kendon EJ, Widmann M, Brienen S Rust HW, Sauter T, Themeßl M, Venema VKC, Chun KP, Goodess CM, Jones RG, Onof C, Vrac M Thiele-Eic I (2010) Precipitation downscaling under climate change: recent developments to bridge the gap between dynamical models and the end user. Rev Geophys. doi:10.1029/ 2009RG000314 McCuen RH (2003) Modeling hydrologic change. CRC Press, Boca Raton, pp 261–263 Srikanthan R, McMahon TA (2001) Stochastic generation of annual, monthly and daily climate data: a review. Hydrol Earth Syst Sci 5(4):653–670 Su BD, Jiang T, Shi YF, Becker S, Gemmer M (2004) Observed precipitation trends in the Yangtze catchment from 1951 to 2002. J Geogr Sci 2(14):204–218 Su BD, Xiao B, Zhu DM, Jiang T (2005) Trends in frequency of precipitation extremes in the Yangtze River basin, China: 1960–2003. J Hydrol Sci 50(3):479–492 Su BD, Kundzewicz ZW, Jiang T (2009) Simulation of extreme precipitation over the Yangtze River Basin using Wakeby distribution. Theor Appl Climatol 96:209–219 Tripathi S, Srinivas VV, Nanjundiah RS (2006) Downscaling of precipitation for climate change scenarios: a support vector machine approach. J Hydrol 330(3–4):621–640 Wetterhall F, Halldin S, Xu C-Y (2005) Statistical precipitation downscaling in Central Sweden with the analogue method. J Hydrol 306:174–190 Wilby RL (1998) Statistical downscaling of daily precipitation using daily airflow and seasonal teleconnection indices. Clim Res 10:163–178 Wilby RL, Wigley TML (2000) Precipitation predictors for downscaling: observed and general circulation model relationships. Int J Climatol 20:641–661 Wilby RL, Hay LE, Leavesley GH (1999) A comparison of downscaled and raw GCM output: implications for climate change scenarios in the San Juan River basin, Colorado. J Hydrol 225(1–2):67–91 Wilby RL, Dawson CW, Barrow EM (2002) SDSM—a decision support tool for the assessment of regional climate change impacts. Environ Model Softw 17:147–159
123
Stoch Environ Res Risk Assess (2012) 26:157–176 Wilby RL, Charles SP, Zorita E, Timbal B, Whetton P, Mearns LO (2004) The guidelines for use of climate scenarios developed from statistical downscaling methods. Supporting material of the Intergovernmental Panel on Climate Change (IPCC), prepared on behalf of Task Group on Data and Scenario Support for Impacts and Climate Analysis (TGICA). http://ipcc-ddc.cru.uea.ac.uk/ guidelines/StatDown_Guide.pdf Wilby RL, Beven KJ, Reynolds N (2008) Climate change and fluvial flood risk in the UK: more of the same? Hydrol Process 22(14):2511–2523 Wilks DS (1989) Conditioning stochastic daily precipitation models on total monthly precipitation. Water Resour Res 25:1429–1439 Xu C-Y (1999) From GCMs to river flow: a review of downscaling methods and hydrologic modelling approaches. Prog Phys Geogr 23:229–249 Xu C-Y, Gong LB, Jiang T, Chen DL (2006) Analysis of spatial distribution and temporal trend of reference evapotranspiration and pan evaporation in Changjiang (Yangtze River) catchment. J Hydrol 327:81–93 Xu Y, Xu C, Gao X, Luo Y (2009) Projected changes in temperature and precipitation extremes over the Yangtze River Basin of China in the 21st century. Quat Int 208:44–52 Yang G, Weng L, Li L (2007) Yangtze Conservation and Development Report 2007. Science Press, Beijing Yue S, Pilon P, Cavadias G (2002) Power of the Mann–Kendall test and the Spearman’s rho test for detecting monotonic trends in hydrological time series. J Hydrol 259:254–271 Zetterqvist L (1991) Statistical estimation and interpretation of trends in water quality time series. Water Resour Res 27(7):1637–1648 Zhang Q, Jiang T, Gemmer M, Becker S (2005) Precipitation, temperature and discharge analysis from 1951 to 2002 in the Yangtze Catchment, China. J Hydrol Sci 50(1):65–80 Zhang Q, Liu C-L, Xu C-Y, Xu YP, Jiang T (2006) Observed trends of annual maximum water level and streamflow during past 130 years in the Yangtze River basin, China. J Hydrol 324: 255–265 Zhang Q, Xu C-Y, Zhang ZX, Chen DY, Liu C-L, Lin H (2008) Spatial and temporal variability of precipitation maxima during 1960–2005 in the Yangtze River basin and possible association with large-scale circulation. J Hydrol 353:215–227