Theor Appl Climatol (2012) 110:229–244 DOI 10.1007/s00704-012-0611-4 ORIGINAL PAPER Changing structure of the precipitation process during 1960–2005 in Xinjiang, China Qiang Zhang & Jianfeng Li & Vijay P. Singh & Chong-Yu Xu & Yungang Bai Received: 2 September 2011 / Accepted: 13 February 2012 / Published online: 20 March 2012 # Springer-Verlag 2012 Abstract Using daily precipitation data spanning 1960– 2005 from 51 meteorological stations in Xinjiang province, China, spatial and temporal changes in consecutive maximum wet days in the year, summer, and winter were investigated. Fifteen precipitation extreme indices, which reflect the attributes of consecutive maximum wet days, were defined, and the modified Mann–Kendall test was applied to detect the tendencies, and changes in the indices were Q. Zhang (*) : J. Li Department of Water Resources and Environment, Sun Yat-sen University, Guangzhou 510275, China e-mail: zhangq68@mail.sysu.edu.cn Q. Zhang : J. Li Key Laboratory of Water Cycle and Water Security in Southern China of Guangdong High Education Institute, Sun Yat-sen University, Guangzhou 510275, China Q. Zhang : J. Li School of Geography and Planning, and Guangdong Key Laboratory for Urbanization and Geo-simulation, Sun Yat-sen University, Guangzhou 510275, China V. P. Singh Department of Biological and Agricultural Engineering and Department of Civil and Environmental Engineering, Texas A&M University, College Station, TX 77843-2117, USA C.-Y. Xu Department of Geosciences and Hydrology, University of Oslo, PO Box 1047, Blindern, 0316, Oslo, Norway Y. Bai Xinjiang Research Institute of Water Resources and Hydropower, Xinjiang 830049, China evaluated through linear regression with the F test. Results showed that: (1) two consecutive wet days occurred most frequently in the year and summer, and the fractional contributions and precipitation intensities decreased as the duration increased; in winter, one wet day had the maximum possibility, fractional contributions decreased and intensities increased as the duration increased. (2) The possibility of consecutive wet days which had short durations reduced, while those of long durations increased; annual fractional contributions of short durations decreased, while those of long durations increased; summer and winter fractional contribution of all durations decreased first and then increased; the intensities of all durations increased. (3) The wet tendency was identified in Xinjiang; the wet trend in Southern Xinjiang was more significant than Northern Xinjiang in summer, while in winter the wet tendency in Northern Xinjiang was more pronounced. 1 Introduction Extreme hydroclimatic events, such as precipitation and temperature extremes, floods, and droughts, can have significant environmental, societal, and even political consequences. It is therefore important to investigate changes in the properties of these extreme events on regional and global scales in the context of changing climate(Osborn et al. 2000; Milly et al. 2002; Ramos and Martínez-Casasnovas 2006; Mladjic et al. 2011; Min et al. 2011; Gemmer et al. 2011; Zhang et al. 2009a, 2011a, b). It is believed that the projected global climate changes have the potential to accelerate the global hydrological cycle, triggering changes in precipitation, runoff, and soil moisture (e.g., Alan et al. 2003). The accelerated hydrological cycle may further enhance uneven spatial and temporal distribution of water 230 resources and also the changing patterns of extreme weather events in both time and space (e.g., Zhang et al. 2010a). There are numerous studies addressing the changing features and underlying causes of precipitation extremes. Groisman et al. (1999) indicated that the probability of daily precipitation exceeding 50.8 mm in midlatitude countries (USA, Mexico, China, and Australia) increased by about 20% in the later part of the twentieth century. Suppiah and Hennessy (1998) pointed out that heavy precipitation events in most parts of Australia have increased. Zhai et al. (1999) found that the intensive precipitation events have increased in western China since 1950. Wang and Zhou (2005) studied the spatial distribution of extreme precipitation during 1961–2001 and showed that the annual mean precipitation increased significantly in southwest, northwest, and east China, and decreased significantly in central, north, and northeast China. Endo et al. (2005) detected long-term trends in summer precipitation totals, number of rainy days, and precipitation intensity in daily rainfall records spanning from 1961 to 2000 in China. Significant positive trends were found for summer totals, and the number of rainy days in the Yangtze River basin and northwestern China and negative trends were detected for most other regions. Becker et al. (2004) related rainfall variability in the Yangtze basin to v-wind variability at the 700 hPa level over southern China. It is evident that precipitation in the region not only depends on the monsoon intensity but also on the amount of water vapor that is transported by the atmospheric system. Many investigations have indicated that increasing temperature can cause alterations in the spatial and temporal distribution of precipitation regimes by influencing the atmospheric circulation, which will exert tremendous impacts on water resource management at the river basin scale and on agricultural activities in China (e.g., Chavas et al. 2009). In addition, the societal infrastructure is becoming more sensitive to Fig. 1 Meteorological stations in Xinjiang Q. Zhang et al. weather and climate extremes, which would be exacerbated by climate change (e.g., Easterling et al. 2000). The foregoing studies mainly focused on extreme precipitation events defined by precipitation indices (e.g., Peterson et al. 2002; Brown et al. 2010; Gemmer et al. 2011; Zhang et al. 2011a, b). In a recent study, the duration of consecutive wet days or the wet period and related precipitation intensity have aroused much attention (e.g., Zolina et al. 2010). Wet periods (WPs) are defined as consecutive wet days with daily precipitation larger than 1 mm day−1 and are adopted to investigate the changing structure of precipitation process. Analyzing wet periods and the associated precipitation intensity over Europe, Zolina et al. (2010) indicated that longer wet periods and higher intensities should have a significant impact on the terrestrial hydrologic cycle, including subsurface hydrodynamics, surface runoff and European flooding. Further, dry spells defined as a period of consecutive days of exactly, say x, dry days immediately preceded and followed by a wet day have also aroused a great deal of interest as an important component of the precipitation process (Zin and Jemain 2010). Extreme precipitation events can reflect changes in certain precipitation components and can be helpful in understanding the impact of climate change on the hydrological cycle. However, shifts in the changing properties of extreme precipitation are essentially alterations of the precipitation structure in both space and time. The length and distribution of wet periods and related waiting time (the duration between two consecutive wet periods) are of significant theoretical and practical implications for understanding the occurrences of meteorhydrological extremes, such as floods and droughts. Xinjiang, located in the inland of China (Fig. 1), is characterized by arid climate with serious water shortages. It has a semi-arid and arid climate with long-term average annual precipitation of 130 mm and long-term average rainy Changing structure of the precipitation process during 1960–2005 231 days of 55. The variability and availability of water resources is a crucial factor influencing the development and conservation of the environment and also the sustainability of socio-economy of the region, particularly agriculture whose development in Xinjiang is heavily dependent on irrigation (Zhang et al. 2010b). Shi et al. (2003) showed that the regional climate in Xinjiang exhibited a shift from a warm–dry climate to a warm–wet one over the last two decades as the globe is becoming warmer, with the result that hydrometeorological extremes have higher probabilities of occurrence. Xue (2003) investigated precipitation data in 70 stations and concluded that annual precipitation in Xinjiang was increasing, and the annual precipitation changing rate in South Xinjiang was more homogeneous than that in North Xinjiang. Qian and Lin (2005) reported an increasing trend in precipitation intensity in Xinjiang, and higher precipitation as a result of persistent wet days significantly contributed to the increasing frequency of floods during 1980–2000. Jiang et al. (2003) indicated an agreement between the flood-damaged area and precipitation changes in Xinjiang since the 1960s, illustrating intensifying flood hazards and increasing disaster-induced damages. Also Ren (2000) indicated that the precipitation in southwest China was increasing since 1960s. Climate warming is suggested to be linked to the recent increases in extreme precipitation events due to increased atmospheric water vapor and warmer air (IPCC 2007). While it is now widely recognized that regional temperature is increasing (e.g., Zhang et al. 2009b), changes in extreme precipitation are not yet well understood, particularly no reports are available so far concerning changes in the precipitation structure from the viewpoint of wet durations and related precipitation Fig. 2 Occurrences of missing days per season intensity and precipitation amount. This is what motivated this current study. The objective of this study therefore is to investigate the changing properties of precipitation in Xinjiang, a typical arid region in China, in both space and time. This study will shed new light on the regional responses to global climate change in terms of the hydrological cycle in the arid regions of the world. Besides, results of this study may also be of practical merit for water resources management in arid and semi-arid regions under the influence of changing climate, particularly under the influence of altered hydrological cycle due to increasing temperature on regional and global scales. 2 Data Daily precipitation data for the period 1960–2005 from 51 rain gauging stations were obtained from the National Metrological Information Center of the China Meteorological Administration. Locations of the rain gauging stations are shown in Fig. 1. There are missing values in the daily precipitation series at 12 rain gauging stations. Missing values account for >1% of the total precipitation data at two stations and <1% at other stations. Figure 2 illustrates the frequency of days with missing data per season. The frequency of missing data for 1 day is about 47%. Figure 3 shows the frequency of missing data for consecutive days without considering monthly gaps. The missing values of 1– 2 days were replaced by the average values of precipitation of neighboring days. Adequate consecutive days with missing data were filled by the long-term average of the same days of other years. In view of the objectives of this study, 50 45 40 Occurrence (%) 35 30 25 20 15 10 5 0 0 10 20 30 40 50 60 70 Number of missing days (days) 80 90 100 232 Q. Zhang et al. 80 precipitation amount is considered; (3) total precipitation amount of AD (AP), SD (SP), and WD (WP); (4) fractional contribution of AP to ATP (AF), SP to STP (SF), and WP to WTP (WF); (5) the average precipitation intensity of AD, SD, and WD, i.e., AI for AD, SI for SD, and WI for WD. Definitions of these precipitation indices are given in Table 1. 70 Occurrence (%) 60 50 40 30 20 3 Methodology 10 0 1 2 3 4 5 6 7 8 Duration of continuous gaps (days) Fig. 3 Occurrences of continuous missing days (without considering monthly gaps) this gap-fill method did not significantly affect the final results. A similar gap-fill method has been used by Zhang et al. (2011a, b). Fifteen precipitation indices were defined in this study: (1) total precipitation amount in a year (ATP), in summer (STP), and in winter (WTP); (2) the duration of maximum consecutive wet days, in other words, the duration of the continuous wet days that last for the longest time in a year (AD), in summer (SD), and in winter (WD). Wet day is defined as the rainy day with daily precipitation larger than 1 mm. If the events of maximum consecutive wet days occur several times in a specific period (annual, summer, or winter), then only the one which has the largest total The modified Mann–Kendall test (MMK test hereafter; Hamed and Rao 1998) and linear regressive technique were adopted to detect possible trends within the precipitation series. Hamed and Rao (1998) modified the MK test by considering the lag-i autocorrelation in the hydrometeorological series. The modified MK test has been shown to be robust and used in the study of trends in hydrometeorological series (e.g., Daufresne et al. 2009). Besides, estimation of the significance of linear trends by F test was done after the removal of autocorrelation effects by prewhitening (Matalas and Sankarasubramanian 2003; von Storch 1999). The significance of trends was evaluated at a 5% significance level. Field significance (Livesey and Chen 1983; Zolina et al. 2008) of all linear trends was analyzed to evaluate the significance of trends in Xinjiang. Let N denote the number of significant linear trends. The index of each station in Xinjiang, China was shuffled randomly and the number of significant linear trends of each new series was computed. This computation procedure was repeated more than 1,000 Table 1 Precipitation indices Seasons Indices Definitions Annual ATP Annual total precipitation amount mm AD day AF AI The duration of maximum consecutive wet days in a year. A wet day is defined as the rainy day with daily precipitation exceeding 1 mm Total precipitation amount of AD. There may be several maximum consecutive wet days with the same duration in a year. Then, only the one that has the maximum total precipitation amount is considered Fractional contribution of AP to ATP (AF 0 AP/ATP) Precipitation intensity of AD (AI 0 AP/AD) % mm/day STP SD SP SF SI WTP WD WP WF WI Total precipitation amount in summer The duration of maximum consecutive wet days in summer Total precipitation amount of SD Fractional contribution of SP to STP (SF 0 SP/STP) Precipitation intensity of SD (SI 0 SP/SD) Total precipitation amount in winter The duration of maximum consecutive wet days in winter Total precipitation amount of WD Fractional contribution of WP to WTP (WF 0 WP/WTP) Precipitation intensity of WD (WI 0 WP/WD) mm day mm % mm/day mm day mm % mm/day AP Summer Winter Unit mm Changing structure of the precipitation process during 1960–2005 times. The significance of field trend was the percentage p of which the number of significant trends was smaller than N. Results of field significance across Xinjiang are given in Table 2. We also discussed the temporal alterations of different indices. Specifically, the arithmetical averages of index of individual durations in individual year were calculated. Then for a particular duration, the series of average of index in all available years was standardized. The standardized procedure is as follows: Z¼ X X SDðX Þ where X is the mean value of X series and SD(X) is the standard deviation of X series. Then, the 5-year moving average was computed and plotted. It should be noted that when temporal alterations of normalized series of AF, SF, WF, AI, SI, and WI were discussed, we referred to the indices themselves; when temporal alterations of normalized occurrences of AD, SD, and WD were discussed, we referred to the frequencies of these indices. 4 Results and discussions 4.1 Changes in ATP, STP, and WTP Figure 4a illustrates the MMK trends of ATP across Xinjiang. It can be seen from Fig. 4a that ATP is increasing in most parts of Xinjiang. There are 49 precipitation stations showing increasing ATP, accounting for 96% of the total precipitation stations considered in the study. Besides, Table 2 Result of field significance Indices Significant increasing trends Significant decreasing trends Field significance (%) ATP STP WTP AD SD 25 16 16 8 4 0 0 1 0 0 1 1 1 1 13 WD AP SP WP AF SF WF AI SI WI 14 4 5 15 0 1 3 1 2 8 1 1 0 1 9 3 3 3 1 1 1 5 5 1 1 12 3 10 23 1 233 significant increasing trends of ATP can be found in Xinjiang, except for the southwest parts. There are 33 rain stations characterized by significant increasing ATP, accounting for 65% of the total rain stations. The increasing rate of ATP at most rain stations is ranging between 0 and 10 mm per decade and different changing rate of ATP can be identified (Fig. 4d). Specifically, increasing rate of ATP in the west Xinjiang is larger than that in the middle and eastern parts of Xinjiang. The increasing rate of ATP at some rain stations can reach 30–40 mm per decade and the largest increasing rate of ATP was detected in the east parts of the Tianshan Mountains, being about 30–40 mm per decade (Fig. 4d). Therefore, ATP changes tend to show a wetting tendency across the Xinjiang region. However, the wetting tendency is also different in different regions of Xinjiang; specifically, the increasing magnitude of ATP in western Xinjiang is larger than that in the middle and eastern Xinjiang. Similarly, STP is also subjected to increase (Fig. 4b). Significant increasing STP can be observed mainly in western Xinjiang and eastern parts of the Tianshan Mountains. Figure 4e shows the spatial patterns of the changing rate of STP. Most regions of Xinjiang are dominated by changing rates ranging between 0 and 5 mm per decade. A larger changing rate of 10–15 mm per decade can be detected in western Xinjiang and in the western and eastern Tianshan Mountains. However, the largest changing rate of STP, about 15–20 mm per decade, can be identified in the eastern parts of the Tianshan Mountains. Nevertheless, there are small regions being characterized by decreasing STP with changing rate of −5 to 0 mm per decade. In this case, Xinjiang is dominated by increasing summer precipitation, particularly in the west parts of south Xinjiang and the eastern parts of Tianshan Mountains. Different changing properties of WTP can be observed from Fig. 4c when compared to those of ATP and STP. Significant increasing WTP can be found only in northern Xinjiang with changing rates ranging between 4 and 8 mm per decade. However, the changing rate of WTP at most of the precipitation stations ranges between 0 and 2 mm per decade. Decreasing WTP can be observed mainly in southern Xinjiang with changing rates of −2 to 0 mm per decade (Fig. 4f). In this case, WTP in northern Xinjiang and the Tianshan Mountains is increasing. No significant changes in WTP can be detected in southern Xinjiang. In summary, increasing precipitation is found in winter in mainly northern Xinjiang and the Tianshan Mountains. Precipitation changes in southern Xinjiang are not evident and a slight decrease of precipitation is detected in southern Xinjiang. Increasing total precipitation at annual and seasonal time scales imply a wetting tendency in the Xinjiang region (Shi et al. 2003), and it is particularly the case for northern Xinjiang. 234 a Q. Zhang et al. 75° 80° 85° 90° 95° 50° # & # & 45° # # # & # # # # # # # 90° & # # # # # 45° & # # # & & # # # 35° & # # # # # & & 95° # & # & & # & & 40° & & & & & & & & & # # # # # # & & # # # & & # & & & # & & & # & & & # 35° 75° 80° 85° 90° 95° d 75° 80° 85° 90° 95° 50° 50° # # # & 45° # # # & & & & & # # # # # # # # # # & & # & & # # & & & # & & 45° & & & & & & & & 40° & & & & -10 - 0 0 - 10 10 - 20 20 - 30 30 - 40 & & & & 35° 35° e 85° & # # 40° 80° # # # & & c 75° # # & # # # # # & # & & & 40° b 50° 75° 80° 85° 90° 95° f 50° 50° 45° 45° 80° 85° 90° 95° 40° 40° 35° 75° -5 - 0 0-5 5 - 10 10 - 15 15 - 20 35° -2 - 0 0-2 2-4 4-6 6-8 Fig. 4 MMK test trends of a ATP, b STP, and c WTP (blue dots insignificant increasing trend, red dots insignificant decreasing trend, upward blue triangles significant increasing trends, and downward red triangles significant decreasing trends). Changing rates (millimeter per decade) of d ATP, e STP, f WTP 4.2 Changes in the number of maximum consecutive wet days 2 days have the largest occurrence frequency, being about 35% (see Fig. 5). The next largest frequency is found for the annual 3-day maximum consecutive wet days, being about 30%. The annual maximum consecutive wet days exceeding 9 days are scarce events. Similarly, in summer, the 2-day Frequency of different maximum consecutive wet days shows that the annual maximum consecutive wet days of Changing structure of the precipitation process during 1960–2005 235 45 40 Ocurrence (%) 35 30 25 20 15 10 5 0 0 1 2 3 4 5 6 7 8 9 10 Duration (days) Fig. 5 Frequencies of AD (black), SD (gray), and WD (white) in Xinjiang maximum consecutive wet days are also subjected to the largest occurrence frequency, being nearly 40%. The next highest occurrence frequency is detected in the 1-day maximum consecutive days, being about 25%. Also, the maximum consecutive wet days exceeding 9 days in summer are also scarce events. In winter, however, the highest frequency can be found in the 1-day maximum consecutive wet days, being over 35%. Besides, 0-day maximum consecutive wet days are also very common in winter, which means there is no rainy day in winter. Figure 5 demonstrates that 0 days in WD are also in high frequency, being over 25%. No 8-day maximum consecutive wet days are observed. These results indicate that precipitation events of short durations are predominant. We also investigated temporal variations of the standardized occurrences of AD, SD, and WD series and results are shown in Fig. 6. Figure 6a indicates that the frequency of the 0- to 3-day AD is decreasing after 1987; however, the frequency of 3- to 8-day AD is increasing. These results imply the lengthening of the maximum consecutive wet days. Similar changing properties can also be found in the SD changes (Fig. 6b), i.e., the frequency of 0- to 2-day SD is decreasing after 1987; and the frequency of 3- to 8-day SD is increasing. The maximum WD ranges between 0 and 7 days. After 1987, the frequency of 0- to 1-day WD is decreasing and the frequency of >2-day WD is increasing (Fig. 6c). These results show that the frequency of maximum consecutive wet days of shorter durations is decreasing, and of the maximum consecutive wet days of longer durations is increasing. That is, the lengthening of maximum consecutive wet days and precipitation changes are tending to shift to the extreme sides with evident clustering. Figure 7 shows the spatial distribution of MMK trends of AD, SD, and WD and related changing magnitudes. Results Fig. 6 Temporal alteration of normalized occurrences of a AD, b SD, and c WD in Xinjiang of MMK trends show significant increasing AD in northern Xinjiang, western parts of south Xinjiang and eastern parts of the Tianshan Mountains and no significant decreasing 236 a Q. Zhang et al. 75° 80° 85° 90° 95° 50° & & & & 45° & & & & & # & # & & & # & 45° & & 95° & & & 40° & & & & & & & & & # & & & & & & & & & & & & & & & & & & & & & # & & & & # & & & & & & & & & & & & & & & & & & & & # 35° 75° 80° 85° 90° 95° 50° d 75° 80° 85° 90° 95° 50° # & # & 45° & & & & & & & & & # # # & & & # & & 45° & & & & & & & & 40° & -0.2 - -0.1 -0.1 - 0 0 - 0.1 0.1 - 0.2 0.2 - 0.3 0.3 - 0.4 & & & & & # # & & & & & & & & & & & & & 35° 35° 75° 80° 85° 90° 95° d 50° 50° 45° 45° 40° 35° 90° & 35° c 85° & & & & & 40° 80° # && & c 75° & # & & # & & & & & & & 40° b 50° 75° 80° 85° 90° 95° 40° -0.2 - -0.1 -0.1 - 0 0 - 0.1 0.1 - 0.2 0.2 - 0.3 0.3 - 0.4 35° -0.2 - -0.1 -0.1 - 0 0 - 0.1 0.1 - 0.2 0.2 - 0.3 0.3 - 0.4 Fig. 7 MMK test trends of a AD, b SD, and c WD (blue dots insignificant increasing trend, and red dots insignificant decreasing trend, upward blue triangles significant increasing trends, and downward red triangles significant decreasing trends). Changing rates (days per decade) of d AD, e SD, f WD AD can be detected across the entire Xinjiang region (Fig. 7a). Nevertheless, more regions of Xinjiang are characterized by nonsignificant increasing AD. With respect to the changing rate, larger changing magnitude of AD is identified in northern parts of north Xinjiang, western parts of south Xinjiang and eastern parts of the Tianshan Mountains (Fig. 7d), ranging between 0.2 and 0.4 day per decade and most of the regions are characterized by 0- to 0.2-day Changing structure of the precipitation process during 1960–2005 per decade. Besides, decreasing magnitude of –0.2 to 0 day per decade can be found in parts of the Xinjiang region. As for spatial distribution of SD, only three stations are characterized by significant increasing SD and these three stations are located in the eastern parts of Tianshan Mountains and southern parts of south Xinjiang (Fig. 7b). The changing rate of SD is between 0 and 0.4 day per decade and that at some stations is nearly −0.2 to 0 day per decade (Fig. 7e). Spatial features of WD show distinctly different patterns. Stations located in northern Xinjiang and southern parts of the Tianshan Mountains are dominated by significant increasing WD with changing magnitude of 0.2– 0.4 day per decade (Fig. 7f). No significant decreasing WD can be found across the entire Xinjiang (Fig. 7c). Decreasing magnitude of −0.2 to 0 day per decade of WD is found in the eastern parts of south Xinjiang (Fig. 7f). In this case, the lengthening of consecutive maximum wet periods is not evident and is different within different regions. This phenomenon is different from that observed by Zolina et al. (2010), showing different regional responses in terms of precipitation structure changes to global climate change. 4.3 Changes in the precipitation amount of maximum consecutive wet days Figure 8a shows that AP in Xinjiang is increasing and significant increasing AP is found in northern Xinjiang, southern parts of the Tianshan Mountains, southern parts of Xinjiang and southwestern parts of south Xinjiang with changing magnitude of about 2–3 mm per decade. Decreasing AP is observed in the eastern parts of Tianshan Mountains and southern Xinjiang with changing magnitude of −2 to 0 mm per decade (Fig. 8d). As for changes of SP, a majority of parts of Xijiang are characterized by increasing SP. Significant increasing SP is observed mainly in southern Xinjiang and eastern parts of the Tianshan Mountains (Fig. 8b). Figure 8e shows increasing SP in most parts of Xinjiang, which is in agreement with the results shown in Fig. 8b. Significant increasing SP is observed mainly in southern Xinjiang with a smaller increasing magnitude when compared to that in northern Xinjiang. Increasing magnitude of SP in northern Xinjiang is 4–6 mm per decade and the decreasing magnitude is −2 to 0 mm per decade in the southern parts of Tianshan Mountains. Similarly, increasing WP is detected generally across the entire Xinjiang with significant increasing WP mainly in northern Xinjiang and the Tianshan Mountains (Fig. 8c). As for the increasing magnitude of WP, the largest increasing magnitude is found in northern Xinjiang, being about 1–3 mm per decade (Fig. 8f). Increasing magnitude of WP in most regions of Xinjiang is 0–1 mm per decade and decreasing magnitude of WP in southern Xinjiang is −1 to 0 mm per decade. 237 4.4 Fractional contribution of maximum consecutive wet days to annual and seasonal total precipitation amounts The percentage of precipitation amount of maximum consecutive wet days to the annual and seasonal total precipitation amounts is defined as the fractional contribution of the maximum consecutive wet days in terms of the precipitation amount. The lengths of maximum consecutive wet days are different, thus the average fractional contribution of the maximum consecutive wet days is analyzed (Fig. 9). It can be seen from Fig. 9 that 1-day AF is subjected to the largest fractional contribution, being more than 40%; and the fractional contribution of the 2-day AF is the second largest. The increase in the length of maximum consecutive wet days causes a decrease in the fractional contribution (AF). However, 8-day AF is in a sudden increase in the fractional contribution, being more than 15%. The fractional contribution of 9- and 10-day AF is increasing. The fractional contribution of 1-day SF is the largest, about 50% and that of the 1-day WF is about 70%. In general, longer maximum consecutive wet days have smaller fractional contributions to the total precipitation amount. In this sense, higher probability of extreme weather extremes such as floods and droughts can be expected. Figure 10 illustrates the temporal changes of AF, SF, and WF. It can be seen from Fig. 10a that AF of maximum consecutive wet days with lengths of 1–6 days is higher than that with lengths of >6 days before 1980. After 1980, AF of shorter maximum consecutive wet days is small, while AF of maximum consecutive wet days with longer lengths, e.g., 6–9 days, is larger. Similar properties can be found in the changes of SF. Higher SF of maximum consecutive wet days with lengths of 1–6 days can be observed initially. SF of longer and shorter maximum consecutive wet days is increasing after roughly 1980 (Fig. 10b). As for WF, it is increasing after 1995 (Fig. 10c). In summary, AF of longer maximum consecutive wet days is increasing and those of shorter maximum consecutive wet days are decreasing. However, SF and WF of maximum consecutive wet days with different lengths is increasing. Figure 11 shows the spatial distribution of MMK trends and related changing magnitudes of AF, SF, and WF. It can be observed from Fig. 11a that most precipitation stations in Xinjiang are characterized by decreasing AF. Significant decreasing AF can be detected in the northern Xinjiang, parts of the Tianshan Mountains and southwest parts of south Xinjiang. The changing magnitude of AF at majority of precipitation stations is between −4% to 2% per decade and even −6% to 4% per decade (Fig. 11d). SF changes, however, are dominated by decreasing trends and significant decreasing trends of SF are identified mainly in southern Xinjiang and northern parts of the Tianshan Mountains. Nevertheless, precipitation stations in northern Xinjiang 238 75° 80° 85° 90° 95° 50° # & # & & & # & & & 45° & & & & # 40° & & & & & & # # & # & # # & & 95° & & & & & & & & & # # & & # & & & & & # & & & 35° & & & & & & & & # # # # & & & & & # & # & # 35° 75° 80° 85° 90° 95° 50° d 75° 80° 85° 90° 95° 50° & # & & # & & & & # & # # & & # & & 45° & & & & & & & & 40° & & & -2 - -1 -1 - 0 0-1 1-2 2 -3 3 -4 & & & # # # # & & # # # & & # # # 45° & & & & & 35° 35° 75° 80° 85° 90° 95° f 50° 50° 45° 45° 40° 40° 35° 90° & & # & & & & # & # e 85° & & & & 40° 80° & & & & & & # & # 45° c 75° # # & 40° b 50° # a Q. Zhang et al. -4 - -2 -2 - 0 0-2 2-4 4-6 35° 75° 80° 85° 90° 95° -1 - 0 0-1 1-2 2-3 Fig. 8 MMK test trends of a AP, b SP, and c WP (blue dots insignificant increasing trend, and red dots insignificant decreasing trend, upward blue triangles significant increasing trends, and downward red triangles denotes significant decreasing trends). Changing rates (millimeter per decade) of d AP, e SP, f WP are characterized by increasing trends but are not statistically significant (Fig. 11b). Figure 11e shows that the changing rate of SF in southern Xinjiang is about −6% to 3% per decade; and increasing rate of SF in northern Xinjiang is approximately 0–3% per decade. The WF changes show different changing properties when compared to those of AF and SF (Fig. 11c). Decreasing WF is found mainly in northern Xinjiang. Nearly half of the total precipitation stations are characterized by increasing WF trends, though most of the trends are not statistically significant. The Changing structure of the precipitation process during 1960–2005 239 80 Fractional contribution (%) 70 60 50 40 30 20 10 0 0 1 2 3 4 5 6 7 8 9 10 Duration (days) Fig. 9 Averages of AF (black), SF (gray), WF (white) in Xinjiang (the x-axis is the duration of maximum consecutive wet days; the y-axis is the average of fractional contribution with corresponding duration. The fractional contribution is calculated as the precipitation amount of maximum consecutive wet days to the annual and seasonal total precipitation amounts) increasing rate of WF is about 0–5% and even 5–10% per decade (Fig. 11f). Comparison between Fig. 11a, b, and c shows that increasing tendency is predominant in the WF changes and decreasing tendency is predominant in the AF and SF changes. 4.5 Changes in precipitation intensity of maximum consecutive wet days The distribution of average precipitation intensity of maximum consecutive wet days over Xinjiang is illustrated in Fig. 12. AI of 1-day maximum consecutive wet days is the largest, about 9 mm/day and AI of 2-day maximum consecutive wet days is the second largest. In general, the longer is the length of the maximum consecutive wet days, the less the AI is. The SI changes show similar changing properties. WI, however, demonstrates different changing features. The 7-day maximum consecutive wet days have the largest WI, being over 4 mm/day. The longer the length of the maximum consecutive wet days, the larger the WI is. Temporal changes of AI, SI, and WI are illustrated in Fig. 13. The largest AI is identified for the 1–2, 4–6, and 8– 10 maximum consecutive wet days. After 1975, AI of longer maximum consecutive wet days is increasing. After 1995, however, higher AI can be found in the maximum consecutive wet days of various durations. SI changes show similar changing properties when compared to those of AI. However, distinctly different changing features can be observed in the WI changes. The duration of maximum consecutive wet days with high WI is decreasing during 1960– Fig. 10 Temporal alteration of normalized series of a AF, b SF, and c WF in Xinjiang 1980, and is increasing suddenly after 1980. Particularly, during 1992–2005, high WI of the maximum consecutive 240 75° 80° 85° 90° 95° 50° 95° & & # # # # 35° & & & & & & & & & & & & & & & & & # & & & & # # & # # # 40° & & & # & & & & & # & & & & & & # # # # & & & & # & 45° & & # & # # # & & & & & & # # & & 35° 75° 80° 85° 90° 95° (c) # # & # & & & & & & & & & & & & & & 85° 90° & (d) & & 45° & & & & & 40° & & & -6% - -4% -4% - -2% -2% - 0% 0% - 2% 2% - 4% & & & & 35° 35° 75° 95° & & & & & & 80° & & & & & # 45° & & 75° # & & 40° d 50° & 80° 85° 90° 95° f 50° (e) 45° 45° 40° 40° 35° 90° & & # 40° 50° 85° # & & & & # & & # & & & & & # 45° e 80° # & & c 75° # # & 50° b 50° # a Q. Zhang et al. -9% - -6% -6% - -3% -3% - 0% 0% - 3% 3% - 6% 35° 75° 80° 85° 90° 95° (f) -10% - -5% -5% - 0% 0% - 5% 5% - 10% 10% - 15% Fig. 11 MMK test trends of a AF, b SF, and c WF (blue dots insignificant increasing trend, and red dots insignificant decreasing trend, upward blue triangles significant increasing trends, and downward red triangles significant decreasing trends). Changing rates (percent per decade) of d AF, e SF, and f WF wet days is observed for various durations. Therefore, enhanced precipitation intensity of maximum consecutive wet days with different durations can be observed in Xinjiang. With respect to spatial and temporal variations of AI, SI, and WI (Fig. 14), no fixed spatial patterns can be identified for AI and SI. The stations with increasing or decreasing AI and SI (Figs. 14a, b) are distributed interchangeably across Xinjiang. About 57% the total stations are characterized by increasing AI, though most of the increasing trends are not significant statistically (Fig. 14a). About 75% of the total Changing structure of the precipitation process during 1960–2005 241 10 Precipitation intensity (mm/day) 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 Duration (days) Fig. 12 Averages of AI (black), SI (gray), WI (white) in Xinjiang (the x-axis is the duration of maximum consecutive wet days; the y-axis is the average of precipitation intensity with corresponding duration. The precipitation intensity is calculated as the precipitation amount of maximum consecutive wet days to the duration) stations are characterized by increasing SI (Fig. 14b). In this sense, the increase is predominant in the AI and SI changes. Besides, the changing magnitude of AI is relatively small, about −1 mm/day (Fig. 14d). The changing magnitude of SI at most of the precipitation stations is about 0–1 mm/day. The largest changing magnitude can be found in eastern Xinjiang, about 2–3 mm/day (Fig. 14e). Relatively confirmative spatial patterns of WI can be observed (Fig. 14c). Most regions of Xinjiang are characterized by increasing WI with an increasing rate of 0–0.5 mm/day (Fig. 14f). The precipitation stations with increasing WI account for about 78% of the total precipitation stations. Decreasing WI can be observed mainly in northeastern Xinjiang and the southwestern corner of Xinjiang (Fig. 14c) with an increasing rate of −0.5 to 0 mm/day (Fig. 14f). 5 Field significance test Field significance test procedure was performed to evaluate the validity of the field trends of precipitation variables defined in the study, and results are displayed in Table 2. It can be clearly seen from the table that field significance of most of the precipitation variables is significant at a confidence level of <10%, implying that trends of precipitation variables across Xinjiang is statistically meaningful. The field significance of SD and SF is 13% and 12%, being larger than 10%. However, these values are approaching 10%. The field significance of SI is only 23%. However, it still makes sense to study the spatial patterns of SI. In this Fig. 13 Temporal alteration of normalized series of a AI, b SI, and c WI in Xinjiang sense, the trends detected in this study are meaningful and reliable statistically. 242 80° 85° 90° 95° 50° (a) # & & & # & & & & & & & & & & 45° & & & & & & & # & & & & 50° # & 75° 80° 85° 90° 95° # & & & & # & # & & # & & & & & & & & & & & # & & # & # & & & & & & & # & # # # & # & # # # # & & & 80° 85° 90° (d) # & & 45° & & & & & & & && 40° & # & & & & & -3 - -2 -2 - -1 -1 - 0 0-1 & 35° 35° 75° 80° 85° 90° 95° f 50° (e) 45° 45° 40° 40° 35° 95° & & & & & 75° & & & # & & & & # # 45° 40° d 50° (c) # 50° 95° 35° & e & & & & 40° 35° c & & & & & & & 90° (b) & & 85° & & # & & & & # & & & 80° & & & # # 45° & & & 75° # # & 40° b # 75° # a 50° Q. Zhang et al. -2 - -1 -1 - 0 0-1 1-2 2 -3 35° 75° 80° 85° 90° 95° (f) -0.5 - 0 0 - 0.5 0.5 - 1 Fig. 14 MMK test trends of a AI, b SI, and c WI (blue dots insignificant increasing trend, and red dots insignificant decreasing trend, upward blue triangles significant increasing trends, and downward red triangles significant decreasing trends). Changing rates (percent per day per decade) of d AI, e SI, and f WI 6 Discussions studies (Shi et al. 2003; Xue 2003; Qian and Lin 2005; Jiang et al. 2003; Ren 2000; Zhang et al. 2011a, b). Figure 11 shows that AF and SF have decreasing trends, However, Fig. 10 indicates that AF and SF of long duration increased after 1980, while AF and SF of short duration The changes of extreme precipitation indicate a wet tendency and the precipitation pattern shifted to more extreme site in Xinjiang, these results are strongly supported by previous Changing structure of the precipitation process during 1960–2005 decreased after 1980. Meanwhile, maximum consecutive wet days with long duration occurred more frequently after 1980, while those with short duration occurred less. But this does not mean the tendency of AF without considering duration (Fig. 11) was positive. The reason is that the maximum consecutive wet days with short durations still occurred much more frequently than those with long durations (Fig. 5). The MMK test just detects whether there is a trend in a series, and cannot find out whether the precipitation pattern changes. Thus, decreasing AF and SF are detected while their patterns have changed. On the other hand, it should be noted that the fractional contribution is the precipitation amount of maximum consecutive wet days to the annual and seasonal total precipitation amounts. Figures 4 and 7 illustrate that both precipitation amount of maximum consecutive wet days and the annual and seasonal total precipitation amount increased, but the changing magnitudes of the precipitation amount of maximum consecutive wet days are smaller than those of the annual and seasonal total precipitation amounts. This also can explain why AF and SF decreased. 7 Conclusions and closing remarks From analysis of duration, precipitation amount, fractional contribution, and precipitation intensity of the maximum consecutive wet days across Xinjiang, the following conclusions are drawn: 1. In year and summer, 2-day maximum consecutive wet days are relatively frequent. However, the fractional contribution of 1-day maximum consecutive wet days is the largest. Longer maximum consecutive wet days may have less fractional contribution to the total precipitation amount. In winter, however, the occurrence of 1day maximum consecutive wet days is subjected to a higher occurrence frequency. Besides, it can also frequently happen that there are no rainy days for an entire winter season. In this case, precipitation is highly scarce in the Xinjiang region. 2. In general, the maximum consecutive wet days and related total precipitation amount are increasing. Thus, the wetting tendency is relatively evident in Xinjiang. Besides, the lengthening of maximum consecutive wet days is evident in Xinjiang from the viewpoint of frequencies of maximum consecutive wet days. However, different changing properties are also observed for the durations of maximum consecutive wet days in different regions of Xinjiang, implying uneven spatial distribution of changes in maximum consecutive wet days. Therefore, at least in Xinjiang, the lengthening of maximum consecutive wet days is evident. 243 3. Wetting tendency is evident in Xinjiang, however, different wetting degrees can be found in northern and southern Xinjiang. Relatively, the wetting tendency in summer is more evident in southern Xinjiang than in northern Xinjiang; in winter, however, the wetting tendency in northern Xinjiang is more evident that in southern Xinjiang. This result is practically important for regional water resources management. The annual total precipitation is increasing with the lengthening of maximum consecutive wet days. However, precipitation intensity is increasing, particularly after 1990s. Specifically, increasing precipitation intensity is observed in winter. Spatial patterns of precipitation intensity changes in summer are ambiguous and no confirmative patterns can be identified. Acknowledgments This work is financially supported by Xinjiang Technology Program (grant no.: 201001066; 200931105), the National Natural Science Foundation of China (grant no.: 41071020; 50839005), the Project from Guangdong Science and Technology Department (grant no.: 2010B050800001; 2010B050300010), Program for New Century Excellent Talents in University (the Fundamental Research Funds for the Central Universities), and by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (project no. CUHK405308). Last but not the least, our cordial gratitude should also goes to the editor, Prof. Dr. Hartmut Graßl, and two anonymous reviewers for their pertinent and professional comments and suggestions which are greatly helpful for further improvement of the quality of this manuscript. 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