The wavelet theory, Mann-Kendall trend test and ArcGIS spatial analysis theory were used to analyze annual precipitation and mean temperature data that were collected at seven national weather stations in the Sanjiang Plain from 1956 to 2013 to identify the temporal-spatial patterns of annual precipitation changes caused by climate change conditions. The results showed that the climate in the Sanjiang Plain experienced a significant warming trend over the past 50 years, with the temperature increasing by 1.35 °C since the 1960s. Additionally, the precipitation also exhibited certain trend characteristics, which revealed a larger difference in different areas. The annual precipitation exhibited 23-year and 12-year periodic variation characteristics, and the period with above-average annual precipitation levels is expected to continue after 2013. The spatial distributions of the mean annual precipitation for different years were different, whereas the spatial distribution of the multi-year mean precipitation was relatively uniform. The annual variation amplitude of the annual precipitation in the central area was larger than that in the south. The overall inter-annual fluctuation of the annual precipitation was relatively small with a mostly normal distribution. The results can provide guidance for scientific investigations and the reasonable use of rainfall resources in the Sanjiang Plain.

In recent years, global climate change has become a focus of attention. Climate change alters the hydrological cycle, which affects the management of ecological environments and the utilization of water resources (Chen et al. 2010; Yang et al. 2013). Global climates have experienced a warming trend over the past 100 years (Holden et al. 2011; Ling et al. 2012), with the global mean temperature increasing by 0.74 ± 0.18 °C and multi-year mean precipitation exhibiting an average decreasing trend of 1.1 ± 1.5 mm every 10 years. However, global climate change has not been consistent, and temperature and precipitation changes have exhibited certain regional differences (Yang et al. 2013). The mean temperature in China has only increased by 0.4–0.5 °C in the past 100 years, whereas precipitation started gradually decreasing after the 1950s (Lu et al. 2014).

China is one of the 13 countries with the most limited water resources per capita in the world. According to the 2012 Statistical Bulletin on Chinese Water Activities, China had 29526.9 × 108m3 in total water resources, and the total population of China was 13.54 × 108 according to the Sixth Nationwide Population Census, which was published in 2011. Therefore, the per capita amount of water resources was only 2180.65 m3, which was one quarter of the average per capita amount of water resources worldwide. As industry and agriculture show great development, human interference in the environment increases and water-intensive industries continuously grow, water resource scarcity has caused a bottleneck that limits sustainable economic, social and environmental development in China. For instance, in August 2013, flood disasters caused direct economic losses of 1.10 × 108yuan in Heilongjiang and 3.146 × 1011yuan in China overall. In addition, 8.76 × 106 people suffered from the severe spring drought in Yunnan, and 4.94 × 106 people experienced difficulty gaining access to drinking water, which severely affected the lives of these people. As an important water resource, the efficient and reasonable utilization of atmospheric precipitation can alleviate the losses caused by flood and drought disasters and solve water resource shortage problems. Thus, it is important to understand the patterns of precipitation caused by climate change to better utilize rainwater resources, and this topic has drawn extensive attention from researchers at home and abroad.

As human activities increase and abnormal climate patterns appear more frequently, precipitation, which is one of the most prominent manifestations of climate change, is closely related to severe flood and drought disasters. In the 20th century, extensive studies addressed the cause of precipitation (Braham 1959), the relationship between spring precipitation and the pollution of wheat with strontium-90 (Rickard 1964), control of precipitation (Langmuir 1950), temporal variations in the chemical substances within precipitation (Hall et al. 1993; Kalina et al. 1999; Tsakovski et al. 2000), the relationship between precipitation and disease (Parmenter et al. 1999), and estimations of precipitation (Wiemann et al. 1998). Since the 21st century, increasing climate change has inspired research in areas such as the relationship between precipitation and temperature (Hamilton et al. 2001), factors that influence precipitation (Sevruk & Mieglitz 2002), risk analysis of extreme precipitation (Palmer & Raisanen 2002), precipitation simulations under various scale conditions (Kim & Kim 2010; Mishra & Srinivasan 2010) and pattern and prediction of changes in the annual precipitation under global warming conditions (Chou & Lan 2012; Kumar & Krishnamurti 2012). However, research on the temporal-spatial pattern of changes in regional precipitation is lacking. With the intense climate change conditions that have occurred in recent decades, the temporal-spatial patterns of regional precipitation have changed significantly. From a regional perspective, studies on the temporal and spatial characteristics of precipitation changes have important theoretical significance and can help identify potential development trends of precipitation under climate change conditions and more efficiently utilize rainwater resources. Therefore, the Sanjiang Plain, which is an important commodity grain production base, was used as the study area. Wavelet theory, the Mann-Kendall trend test and ArcGIS spatial analysis theory were used to analyze annual precipitation and mean temperature data, which were collected from 1956 to 2013, at seven national weather stations in the Sanjiang Plain to identify the temporal-spatial evolution patterns of annual precipitation. These results can provide a scientific basis for the efficient utilization of rainwater resources in the Sanjiang Plain and the prevention of flood and drought disaster.

Study area

The Sanjiang Plain is a region with low and flat fertile soil that is formed by the confluence and alluvium of the Heilongjiang, Wusuli and Songhua Rivers. Situated in the east of Heilongjiang Province (43°49’-48°27'N, 129°11’-135°05'E) (Figure 1) (Zhou et al. 2009; Pan et al. 2010), the Sanjiang Plain extends from the Heilongjiang River in the north to Lake Khanka in the south, and it borders the Xiaoxinganling Mountains in the west and extends to the Wusuli River in the east. The administrative region of Sanjiang Plain includes Jiamusi City, Hegang City, Shuangyashan City, Jixi City, Qitaihe City, Muling City, five management bureaus and eight forest industrial development bureaus of Heilongjiang Agricultural Reclamation Bureau and Yilan County. In total, the Sanjiang Plain has a total area of 10.89 × 104 km2, a wetland area of approximately 2.4 × 104 km2, and a total population of 862.5 × 104 people. In addition, it is an important grain production base in China and provides 20% of the total commodity grains in China per year; therefore, the Sanjiang Plain plays an important role in ensuring food security in China.
Figure 1

The study area location.

Figure 1

The study area location.

Close modal

The multi-year mean precipitation in the Sanjiang Plain is approximately 520 mm, and the temperate humid and semi-humid continental monsoon climate causes an uneven annual precipitation distribution across the Sanjiang Plain, with significant inter-annual variations. The precipitation during the rainy season represents more than 70% of the annual precipitation, whereas it is relatively low in the winter and spring seasons. The precipitation is relatively intense from June to August, and flood disasters are severe, which significantly limits the development of the regional economy and agriculture industry. In addition, because rice has been planted for many years, the groundwater resources have been overexploited, resulting in a series of immeasurable loss phenomena, such as land subsidence, water inflow attenuation and pump suspension at well locations. These phenomena severely threaten the sustainable utilization of water resources and sustainable socioeconomic development in the Sanjiang Plain. According to the Integrated Scheme for the Comprehensive Coordinated Reform of Modern Agriculture and Finances in the ‘Two Great Plains’ in Heilongjiang Province, which was approved by the State Council of the People's Republic of China in August 2013, the Sanjiang Plain will be the core region of the commodity grain production bases in China over the next three years. Therefore, studying the temporal-spatial patterns of annual precipitation changes in the Sanjiang Plain caused by climate change conditions has important theoretical and practical significance for solving many of the water resource problems, such as the effective utilization of rainwater resources and the scientific and reasonable development of surface water resources.

Research methods

The wavelet transformation method

Wavelet analysis is a time-frequency local analysis method with a fixed window area and variable shape. Wavelet analysis examines abrupt signal changes through the decomposition of signals into a series of wavelet functions and the superposition of these wavelet functions. Because such analyses can reveal periods of variation hidden in time series, wavelet analysis has been widely used in the periodic analysis of hydrological time series (Partal & Kucuk 2006; Partal 2012; Li et al. 2013). According to the literature (Markovic & Koch 2005; Mishra et al. 2011), the Morlet wavelet produces relatively good time-frequency domain localizations; therefore, the Morlet wavelet was widely used in the present study for the periodic analysis of the annual precipitation in the Sanjiang Plain over the past 50 years. The Morlet wavelet is generated with the following function (Gan et al. 2007):
formula
1
The wavelet transform coefficient is defined as follows:
formula
2
where c is a constant, and the Morlet wavelet can generally satisfy the admissible condition and has an empirical value of 6.2 when ; i is an imaginary number; is the wavelet coefficient; and is the complex conjugate function of . The modal and real parameters of the above-mentioned wavelet transform coefficient are important variables because the magnitude of the modal parameter represents the intensity of the signal of the characteristic time scale, and the real parameter represents the distribution and phase of the signals of different characteristic time scales at different times.
The wavelet variance is obtained by integrating the squares of all the wavelet coefficients of a at different scales in the time domain. The wavelet variance reflects fluctuations at various scales that are contained in a hydrological series and the variation of the characteristics of the fluctuation intensity with scale. The scale at the corresponding peak value is the main time scale for the series, which reflects the main period of variation of the time series (Fanxiang 2010). The formula is as follows:
formula
3

The Mann-Kendall test

The Mann-Kendall test (M-K test) is a nonparametric statistical test method for examining signal trends (Miao & Ni 2010; Blain 2013; Gocic & Trajkovic 2013; Chaudhuri & Dutta 2014). Because of its low artificiality, high quantitative degree and ability to reveal trend variations within a time series, the M-K test has been widely used to evaluate trends in hydrological time series (Yue & Wang 2004; Hamed 2008; Miao & Ni 2010; Shadmani et al. 2012). For time series with n number of samples, a rank sequence is constituted as follows:
formula
4
where . Assuming that the time series is random and independent, the statistics are defined as follows:
formula
5
where E(Sk) and represent the mean value and variance of , respectively, and can be calculated using the following respective formulae: and . The distribution of is a standard normal distribution, and the significance level is given. Based on the normal distribution table, if , then the series has a significant trend variation. Based on the time series , the aforementioned process can be repeated in an inverse sequence with , . Two statistics series, and , and two lines, , are plotted on the same chart. If , then the series exhibits an increasing trend; otherwise, a decreasing trend is indicated. When the two curves surpass the critical lines, the increasing or decreasing trend is significant. If an intersection point is located between the critical lines, the time that corresponds with the intersection point indicates the time at which the abrupt change started.

The ArcGIS spatial analysis technique

The ArcGIS Platform was developed by the Environmental Systems Research Institute (ESRI) and has powerful functions, such as inputting, editing, processing, searching, analyzing, mapping and outputting data. The ArcGIS Platform is powerful software with relatively advanced technical concepts compared with the related general geographic information system (GIS) software products. The ArcGIS Geostatistical Analyst Module that is included in the ArcGIS software is an extension of the ArcGIS desktop tool. The Geostatistical Analyst Module provides various tools for such tasks as data exploration, identification of outliers, evaluation of the uncertainty of prediction and the generation of data surfaces. This module is primarily used to study data variability, examine overall data variation trends, search for unreasonable data, calculate probabilities that are greater than a certain threshold value, and prepare Q-Q plots. This module can realize such functions as spatial data pre-processing, contour analysis, geo-statistical analysis and final processing (Clarkson & Bellas 2014; Tayyebi et al. 2014). Currently, the ArcGIS spatial analysis technique has been widely used in such fields as remote sensing, land and resource management, meteorology, water conservancy and disease control (Chen et al. 2014; Khormi & Kumar 2014; Valiakos et al. 2014; Zulu et al. 2014).

Data source

The data used in the present study, which included the annual precipitation and mean temperature data collected at seven national weather stations, were obtained from the China Meteorological Data Sharing Service System (http://www.cma.gov.cn/2011qxfw/2011qsjgx/). Because of partial data loss, the length of the data series collected at the Hegang Station differed from the lengths of data from the other six stations. The seven selected weather stations covered the majority of the Sanjiang Plain area. Figure 1 shows the locations of the weather stations, and Table 1 presents detailed information on each weather station and the length of the collected data series at each station. To avoid data errors related to observations and recording, all data were subjected to the graphical method (Cluis 1983) to test consistency and the Von Neumann Ratio method (Bartels 2012) to check at the 95% confidence level, and the results met the analysis requirements.

Table 1

Summary of the precipitation stations used in the study

StationStation indexStation nameLongitude ELatitude NElevationTime
50775 Hegang 130.33 47.37 228 195601–200812 
50788 Fujin 131.98 47.23 64 195901–201312 
50873 Jiamusi 130.28 46.82 81 195901–201312 
50877 Yilan 129.58 46.30 100 195901–201312 
50888 Baoqing 132.18 46.32 83 195901–201312 
50978 Jixi 130.95 45.28 238 195901–201312 
50983 Hulin 132.97 45.77 100 195901–201312 
StationStation indexStation nameLongitude ELatitude NElevationTime
50775 Hegang 130.33 47.37 228 195601–200812 
50788 Fujin 131.98 47.23 64 195901–201312 
50873 Jiamusi 130.28 46.82 81 195901–201312 
50877 Yilan 129.58 46.30 100 195901–201312 
50888 Baoqing 132.18 46.32 83 195901–201312 
50978 Jixi 130.95 45.28 238 195901–201312 
50983 Hulin 132.97 45.77 100 195901–201312 

Temperature variation of the Sanjiang Plain

The annual mean temperature data collected at the seven weather stations in the Sanjiang Plain were used to analyze the climate change in the Sanjiang Plain over the past 50 years. Table 2 presents the detailed results.

Table 2

Analysis of the climate change in the Sanjiang Plain over the past 50 years

Station nameTemperature trend lineCorrelation coefficient (R)Variation trendRate of increase (°C/10 years)
Hegang T = 0.0225t +2.6526 0.3283 Increasing 0.23 
Fujin T = 0.0193t +2.5629 0.4112 Increasing 0.19 
Jiamusi T = 0.0308t +2.7512 0.5683 Increasing 0.31 
Yilan T = 0.0274t +2.9039 0.5504 Increasing 0.27 
Baoqing T = 0.0357t +3.0720 0.6672 Increasing 0.36 
Jixi T = 0.0248t +3.5212 0.5460 Increasing 0.25 
Hulin T = 0.0281t +2.7102 0.6179 Increasing 0.28 
Mean       0.27 
Station nameTemperature trend lineCorrelation coefficient (R)Variation trendRate of increase (°C/10 years)
Hegang T = 0.0225t +2.6526 0.3283 Increasing 0.23 
Fujin T = 0.0193t +2.5629 0.4112 Increasing 0.19 
Jiamusi T = 0.0308t +2.7512 0.5683 Increasing 0.31 
Yilan T = 0.0274t +2.9039 0.5504 Increasing 0.27 
Baoqing T = 0.0357t +3.0720 0.6672 Increasing 0.36 
Jixi T = 0.0248t +3.5212 0.5460 Increasing 0.25 
Hulin T = 0.0281t +2.7102 0.6179 Increasing 0.28 
Mean       0.27 

Table 2 shows that the annual mean temperatures at all of the weather stations exhibited an increasing trend. Additionally, the correlation coefficients of the trend lines fitted with time were relatively high and all passed the significance test with a confidence level of (). Thus, the Sanjiang Plain exhibited a significant warming trend over the past 50 years. Climate warming in Baoqing was the most significant, with a temperature increase of 0.36 °C/10 years on average, whereas the warming in Fujin was the least significant, with a temperature increase of 0.19 °C/10 years on average. Since the 1960s, the temperature of the Sanjiang Plain has increased by 1.35 °C, which can be explained by the effect of global warming and large-scale agricultural development in the Sanjiang Plain over this time period.

Temporal characteristics of the annual precipitation in the Sanjiang Plain

The long-term annual precipitation trends

The annual precipitation variation trend charts in the Sanjiang Plain were plotted (Figure 2), and these plots show that the annual precipitation of each station exhibited certain trends. The annual precipitation of the Fujin, Yilan and Jixi stations all exhibited a slight decreasing trend of 5.16 mm every 10 years on average. However, the annual precipitation of the Baoqing and Hegang stations exhibited a relatively significant decreasing trend of 17.34 mm every 10 years on average. The annual precipitation of the Jiamusi and Hulin stations exhibited a slight increasing trend of 5.6 mm every 10 years on average. However, because of the relatively small correlation coefficients of the trend lines, none of the variation trends passed the significance test with a confidence level of 0.05. To further verify the long-term trend in the annual precipitation changes in the Sanjiang Plain, the M-K test was used to test the significance on the variation trend. Figure 3 shows the detailed results.
Figure 2

Variation curves of the annual precipitation at the weather stations in the Sanjiang Plain. (a) Fujin station; (b) Jiamusi station; (c) Yilan station; (d) Baoqing station; (e) Jixi station; (f) Hulin station; (g) Hegang station.

Figure 2

Variation curves of the annual precipitation at the weather stations in the Sanjiang Plain. (a) Fujin station; (b) Jiamusi station; (c) Yilan station; (d) Baoqing station; (e) Jixi station; (f) Hulin station; (g) Hegang station.

Close modal
Figure 3

M-K statistics curves of the annual precipitation at the weather stations in the Sanjiang Plain.

Figure 3

M-K statistics curves of the annual precipitation at the weather stations in the Sanjiang Plain.

Close modal

The variation of the UF curve of each station showed that the UF curves for the annual precipitation at the seven stations were all between the upper and lower admissible limits of the confidence level , i.e., . Therefore, the overall increasing or decreasing trend of the annual precipitation in the Sanjiang Plain was not significant. However, the UF curves for the seven stations were all generally below the 0 level line, i.e. , indicating that the overall annual precipitation in the Sanjiang Plain has exhibited a slow decreasing trend since the 1960s. In addition, an abrupt change analysis revealed that the UF curves of the Yilan, Jixi and Hegang stations had more intersection points with UB, which were all between the upper and lower admissible limits, indicating that their annual precipitation underwent multiple abrupt changes. Combined with Figure 2, the annual precipitation of these three stations (Yilan, Jixi and Hegang stations) had significant fluctuations near the abrupt change points.

Wetlands help maintain microclimates and regulate precipitation. The Yilan, Jixi and Hegang stations are all situated in the west region of the Sanjiang Plain, which has relatively small wetland areas and experienced relatively severe climate change, resulting in additional abrupt change points of annual precipitation. All of the other stations except Jiamusi station are situated in the east region of the Sanjiang Plain, which has relatively large wetland areas that represent almost 80% of the total wetland area in the Sanjiang Plain; therefore, these areas experienced smaller annual precipitation fluctuations and had fewer abrupt change points.

Periodic characteristics of the annual precipitation in the Sanjiang Plain

The wavelet transform method was applied to the annual precipitation series of the seven national weather stations in the Sanjiang Plain. The wavelet transform coefficients were calculated, and the contours of the real parameters of the wavelet transforms were plotted (Figure 4).
Figure 4

Real parameter contours of the wavelet transforms of the annual precipitation at the weather stations of the Sanjiang Plain. (a) Fujin station; (b) Jiamusi station; (c) Yilan station; (d) Baoqing station; (e) Jixi station; (f) Hulin station; (g) Hegang station.

Figure 4

Real parameter contours of the wavelet transforms of the annual precipitation at the weather stations of the Sanjiang Plain. (a) Fujin station; (b) Jiamusi station; (c) Yilan station; (d) Baoqing station; (e) Jixi station; (f) Hulin station; (g) Hegang station.

Close modal

Figure 4 shows the time scale variations and phase structure of the annual precipitation of each station. The positive wavelet coefficients in the figure correspond to the periods that had above average precipitation, whereas the negative wavelet coefficients correspond to the periods that had below average precipitation, and 0 corresponds to an abrupt change. The distribution intensities of the annual precipitation of each station over various time scales and periods were generally the same. On a relatively large scale, an approximately 20–25-year time scale may occur for the annual precipitation in the Sanjiang Plain. The wavelet coefficients underwent an abundant-dry alternating process that was 2.5 times longer than the entire time domain of the study, i.e., a high precipitation period before 1962, a lower precipitation period from 1970 to 1975, a greater precipitation period from 1989 to 1992, a lower precipitation period from 1998 to 2000 and a greater precipitation period after 2010. At the middle and small scales, the 10–15-year time scale was also prominent; the central scale was approximately 12 years, the positive and negative phases alternated and the wavelet coefficients underwent 6 abundant-dry alternating processes throughout the study period. However, on even smaller time scales (the 2–4-year time scale), although the abundant-dry alternating variation occurred, this pattern was somewhat disordered. For both the large 23-year scale and middle-to-small 12-year scale, the contours of the positive phases were not completely closed; therefore, the greater precipitation period is estimated to continue after 2013.

Wavelet transform charts do not clearly show the characteristics of the periodic variation of a hydrological time series. Therefore, for an accurate analysis, a wavelet variance chart was plotted (Figure 5) to identify the significant period. Figure 5 shows that the maximum peak values of the wavelet variances of the annual precipitation at each station occurred at a = 23, indicating that the oscillation period was the most prominent at approximately 23 years; the second maximum peak values occurred at a = 12, indicating that the oscillation period at approximately 12 years was also prominent. All of the other peak values were not significant. Figure 5 also shows that the wavelet variance chart for each station exhibited an increasing trend, indicating that there was a larger main period at the annual scale for the annual precipitation in the Sanjiang Plain. However, the specific period was not revealed because of limitations in the data series lengths used in the present study.
Figure 5

Wavelet variance of the annual precipitation of each weather station of the Sanjiang Plain.

Figure 5

Wavelet variance of the annual precipitation of each weather station of the Sanjiang Plain.

Close modal

Spatial variation patterns of annual precipitation

Spatial variation patterns of mean annual precipitation for different years

The ordinary kriging interpolation method of ArcGIS Geostatistical Analyst Module was used to perform spatial identification of the mean annual precipitation in the Sanjiang Plain for the 1960s, 1970s, 1980s, 1990s, after 2000, and the multi-year annual mean precipitation. The spatial resolution is 500 m, and the variation function is the spherical model. Figure 6 shows the spatial analysis results and reveals that the mean annual precipitation exhibited relatively large differences among different years, especially in the west and east of the Sanjiang Plain in the 1960s, whereas the differences were relatively small in the south and north of the Sanjiang Plain (Figure 6(a)). The overall spatial distribution of the mean annual precipitation in the 1970s was generally the same as that of the 1960s; however, the number of regions with more precipitation decreased in the west and increased in the east (Figure 6(b)). In the 1980s, the mean annual precipitation was relatively low in the center and northeast, which represents approximately two thirds of the total area of the Sanjiang Plain, and it was slightly higher in the south and west (Figure 6(c)). The mean annual precipitation was lower in the center of the Sanjiang Plain in the 1990s, with a narrow and long precipitation belt, whereas it was still relatively higher in the west (Figure 6(d)). After 2000, the spatial distribution of the mean annual precipitation exhibited four regions: a plentiful precipitation region in the east, a pluvial region in the west, a relatively high precipitation region in the south and north and a lower precipitation region in the center (Figure 6(e)). In addition, the spatial distribution of the multi-year mean precipitation (Figure 6(f)) in the Sanjiang Plain was relatively even compared with the mean annual precipitation and exhibited a spatial distribution trend that increased, decreased and then increased again in succession from south to north.
Figure 6

Spatial variation patterns of the mean annual precipitation in the Sanjiang Plain for different years. (a) Mean annual precipitation in the 1960s; (b) mean annual precipitation in the 1970s; (c) mean annual precipitation in the 1980s; (d) mean annual precipitation in the 1990s; (e) mean annual precipitation after 2000; (f) multi-year mean precipitation.

Figure 6

Spatial variation patterns of the mean annual precipitation in the Sanjiang Plain for different years. (a) Mean annual precipitation in the 1960s; (b) mean annual precipitation in the 1970s; (c) mean annual precipitation in the 1980s; (d) mean annual precipitation in the 1990s; (e) mean annual precipitation after 2000; (f) multi-year mean precipitation.

Close modal

Spatial variation patterns of the statistical parameters of annual precipitation

To further examine the spatial distribution characteristics of the annual precipitation in the Sanjiang Plain, a statistical analysis was performed. The coefficient of variation, Cv, and the coefficient of skewness, Cs, of each weather station were calculated. Additionally, the spatial analysis function of the ArcGIS software was used to identify the spatial distribution patterns of Cv and Cs.

Figure 7 shows the following detailed results. (1) The Cv for the center of the Sanjiang Plain was relatively large, followed by the Cv for the west and north, whereas the Cv for the south was the smallest; these results indicated that the abundant-dry variation of the annual precipitation in the center region was relatively significant and that the inter-annual fluctuation was relatively large; however, the inter-annual variation in the annual precipitation in the south was smaller (Figure 7(a)). (2) The Cv can only reflect the discrete degree of an annual precipitation series and cannot reflect the degree of symmetry of the series between the two sides of the mean. Therefore, the spatial distribution of Cs in Figure 7(b) only showed a negative skew in the south of the Sanjiang Plain, whereas the majority of the remaining areas exhibited a positive skew. The spatial distribution of the Cv and Cs values was mainly caused by the small wetland area in the south, which had a weak regulatory effect on climate, and large wetland area in the north, which had a strong regulatory effect on climate. However, there was no significant overall difference in the Cv values for the annual precipitation in the Sanjiang Plain, which fluctuated between 0.20 and 0.24. The Cs values fluctuated between −0.1 and 0.9, indicating that the overall inter-annual fluctuation of the annual precipitation in the Sanjiang Plain was relatively small, with a normal distribution.
Figure 7

Spatial analysis charts of the statistical parameters of the annual precipitation in the Sanjiang Plain. (a) Coefficient of variation, Cv; (b) coefficient of skewness, Cs.

Figure 7

Spatial analysis charts of the statistical parameters of the annual precipitation in the Sanjiang Plain. (a) Coefficient of variation, Cv; (b) coefficient of skewness, Cs.

Close modal

In the present study, wavelet theory, the M-K test and ArcGIS spatial analysis theory were used to analyze the annual precipitation and mean temperature data, which were collected from 1956 to 2013, at seven national weather stations in the Sanjiang Plain to determine the temporal-spatial patterns of annual precipitation changes caused by climate change conditions. The main conclusions are as follows.

  1. Under the condition of global warming, the climate in the Sanjiang Plain exhibited a significant warming trend over the past 50 years. The temperature increased by an average of 0.27 °C/10 years, and the temperature has increased by 1.35 °C since the 1960s. Climate warming at Baoqing Station was the greatest, with average temperature increases of 0.36 °C/10 years. Climate warming in Fujin Station was the lowest, with average temperature increases of 0.19 °C/10 years. This warming trend can improve the lack of heat and prolong the growing seasons for crops in the Sanjiang Plain. Meanwhile, it will improve the single planting pattern and promote the adjustment of planting structures in the Sanjiang Plain.

  2. The annual precipitation at each station in the Sanjiang Plain exhibited certain trends. The annual precipitation of the Fujin, Yilan and Jixi stations exhibited a slight decreasing trend of 5.16 mm/10 years on average. The annual precipitation of the Baoqing and Hegang stations exhibited a relatively significant decreasing trend of 17.34 mm/10 years on average. The annual precipitation of the Jiamusi and Hulin stations exhibited a slight increasing trend of 5.6 mm/10 years on average. However, none of the aforementioned trends were significant. In addition, an abrupt change analysis showed that the Yilan, Jixi and Hegang stations had additional annual precipitation abrupt changes due to the small wetland area. Therefore, to adjust climate, wetland protection should be strengthened to avoid unbalanced agriculture development due to climate differences.

  3. The annual precipitation in the Sanjiang Plain had 12-year and 23-year oscillation periods. After 2013, the annual precipitation is estimated to continue to increase. The annual precipitation also had a larger main period at an annual scale, but the specific period was not shown because of limitations of the data series lengths used in the present study. Therefore, to avoid grain reduction, we will further intensify efforts to prevent farmland floods and develop rainfall resources to improve the utilization efficiency of water resources.

  4. The spatial distribution of the mean annual precipitation in the Sanjiang Plain varied for different years. The multi-year mean annual precipitation was relatively even and exhibited a spatial distribution trend that increased, decreased and then increased again in succession from south to north. In addition, the inter-annual variation of the annual precipitation in the center of the Sanjiang Plain was larger and had a positive skew, whereas the variation was smaller and had a negative skew in the south of the Sanjiang Plain. There was no significant difference in the Cv of the annual precipitation, which fluctuated between 0.20 and 0.24; the Cs value fluctuated between −0.1 and 0.9. The inter-annual fluctuation of annual precipitation was smaller and had a normal distribution. Therefore, for the center of Sanjiang Plain, we should build a reservoir to adjust the rainfall resources of different years to avoid floods or droughts due to too much or too little rainfall in some years. For the north and south of Sanjiang Plain, we should improve flood prevention during the rainy season.

The authors thank the National Natural Science Foundation of China (No. 51179032, 51279031); the Ministry of Water Resources’ Special Funds for Scientific Research on Public Causes (No. 201301096); the Province Natural Science Foundation of Heilongjiang (No. E201241); the New Century Talent Supporting Project by Education Ministry; the Yangtze River Scholars Support Program of Colleges and Universities in Heilongjiang Province; the Heilongjiang Province Water Conservancy Science and Technology project (No. 201318); and the Prominent Young Person of Heilongjiang Province (JC201402).

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