5.1. GRACE Solution Fusion
Figure 2 shows the spatial distribution of uncertainties of the six GRACE
TWSC results estimated with the use of the GTCH method for Sichuan. Among the six GRACE
TWSC results, the uncertainties of the
TWSC results from the two Mascon solutions (CSR-M and JPL-M) were larger than the ones from the four SH solutions (CSR-SH, GFZ-SH, JPL-SH, and ITSG-SH).
TWSC results from the four GRACE SH solutions and CSR-M typically exhibited uncertainties lower than 3.8 cm for the research region, while
TWSC results from JPL-M showed uncertainties greater than 4.4 cm in Southeast Sichuan. In particular, the uncertainties of the
TWSC results from JPL-M were higher than 5.4 cm in the part of Southeast Sichuan.
We sorted the uncertainties from all grid points in the research region in ascending order and took the median value to evaluate the uncertainty of six GRACE solutions in the whole research region. The results are presented in
Table 1. These six GRACE solutions were sorted in ascending order of the uncertainty of the
TWSC results, and their arrangement was ITSG-SH (2.34 cm), CSR-SH (2.43 cm), JPL-SH (2.50 cm), GFZ-SH (2.83 cm), JPL-M (3.16 cm), and CSR-M (3.20 cm). This suggests that there are some differences in the uncertainties of
TWSC results from different GRACE solutions.
To improve the reliability of the
TWSC results, we fused the
TWSC results from six GRACE solutions by the least square method based on the variances estimated by the GTCH method. To evaluate the fused effect, we re-calculated the uncertainties of fused results (
Figure 3 and
Table 1). The uncertainties of fused results were lower than 1.6 cm. The regions with high certainties were mainly concentrated in Southeast Sichuan. The uncertainties of fused results ranged from 1.4~1.6 cm. From
Table 1, the medium of uncertainties of fused
TWSC results (0.99 mm) was much smaller than those from the six GRACE solutions. This explains that the accuracy of the fused results was better than those of the six single solutions and the fused results obtained by the method in this paper effectively improved the accuracy of the
TWSC results in Sichuan.
To further evaluate the fused effect, we compared the time series of
TWSC from six GRACE solutions and fused results between 2003 and 2020 (
Figure 4). From
Figure 4, seven
TWSC results had a similar change trend. Among the six GRACE
TWSC results, the magnitudes of
TWSC results from the four SH solutions were larger than those from the two Mascon solutions. We also found that the magnitude of fused
TWSC results was close to those from SH solutions. This is because the
TWSC results from SH solutions had smaller uncertainties and thus had larger weights in data fusing than the two Mascon solutions. We calculated the correlation coefficients between the fused
TWSC results and
TWSC results from the six GRACE solutions (
Table 2). From
Table 2, the correlation of the fused
TWSC results with
TWSC results from GFZ-SH (0.9822) was the highest, followed by ITSG-SH (0.9818), CSR-SH (0.9811), CSR-M (0.9800), and JPL-SH (0.9674), the smallest correlation coefficient with the fused
TWSC results was JPL-M (0.9504). The correlation coefficients between the fused
TWSC results and
TWSC results from the six GRACE solutions were greater than 0.95.
We also calculated the long-term trend change, acceleration, annual amplitude, and annual phase of
TWSC from the fused results and six GRACE solutions in Sichuan (
Table 3). From
Table 3, we found that the long-term trend change result of fused
TWSC results was close to those from the SH solutions, the acceleration of seven
TWSC results were very close, and the annual amplitude and phase of seven
TWSC results showed little difference. Therefore, such high correlations and the time series analysis results suggest that the fused
TWSC results had high consistency with the
TWSC results from the six GRACE solutions.
5.2. Spatial and Temporal Distribution of TWSC
Figure 5 shows that the time series of the fused
TWSC results and GLDAS
TWSC results. It shows that these two
TWSC time series had significant seasonal variation and ta similar change trend. The long-term change trend of
TWSC in Sichuan can be divided into two different periods. One is from 2003 to 2011, and there was no significant change in
TWSC. The other was from 2011 to 2020, where
TWSC showed an increasing trend. Therefore, we calculated the long-term trend change of the fused
TWSC results and GLDAS
TWSC for three different periods (2003–2020, 2003–2011, and 2011–2020), respectively. The results are shown in
Table 4. From
Table 4, the long-term change trend of fused
TWSC results and GLDAS
TWSC during 2003–2020 were 3.83 ± 0.54 mm/a and 2.43 ± 0.52 mm/a, respectively. This suggests that
TWSC in Sichuan showed a growth trend in this period. However,
TWSC did not grow all the time. Between 2003 and 2011, there was no significant change in the long-term trend change of
TWSC in Sichuan. In this period, the long-term trend change of the
TWSC results were 0.71 ± 1.62 mm/a (fused results) and −0.34 ± 0.96 mm/a (GLDAS), respectively. Although the two results showed opposite change trends, their values were close to 1 mm/a. Therefore, the difference between the two results was negligible. The increase in
TWSC in Sichuan was mainly concentrated in 2011–2020. The long-term trend change of two
TWSC results in this period are 5.45 ± 1.43 mm/a and 7.92 ± 1.19 mm/a, respectively. This may be attributed to the development of large-scale hydropower stations [
47]. We also plotted the map on the spatial distribution of long-term trend change and the acceleration of fused
TWSC results in Sichuan during 2003–2020 (
Figure 6).
From
Figure 6a,
TWSC mainly showed an increasing trend in Sichuan. The region with the largest growth was the eastern part of Sichuan (4~6 mm/a), followed by the central and western parts of Sichuan (1.5~4 mm/a and 0~1.5 mm/a). Combining
Figure 6a,b, it showed that there was a significant slowing growth trend in the northwestern and northeastern parts of Sichuan, while a significant accelerating increasing trend appeared in the southern part of Sichuan. The reason for the slowing growth trend of
TWSC in the northwestern parts of Sichuan may be due to the melting of mountain glaciers caused by global warming [
47].
5.3. The Correlation Analysis between TWSC and Natural Variability
PPT and ET are the two most important meteorological variables and can reflect the influence of climate change [
48,
49]. Therefore, we analyzed the spatial distribution of long-term trend change and the acceleration of PPT and ET in Sichuan (
Figure 7). From
Figure 7a, PPT showed an increasing trend in the research region, which is consistent with the variation of TWS (
Figure 6a). Among them, the region with the most significant growth trend was the southern part of Sichuan (long-term trend change ranged from 1.5~2.5 mm/a), while the increasing trend was not significant in the northeastern part of Sichuan, which ranged from 0~0.5 mm/a. Except for the northeastern part of Sichuan, the acceleration changes in the other study regions were all positive (
Figure 7b). The acceleration in the southern part was the largest, which ranged from 0.1~0.25 mm/a
2.
Figure 6 shows that there were the significant increasing trends of ET in most regions of Sichuan, except for the northeast of Sichuan. In particular, the increase in ET in the southern part of Sichuan ranged from 0.6~1 mm/a. In terms of acceleration (
Figure 7d), the change trend of
TWSC in most regions of Sichuan generally showed a slowing trend and those in the western and southern part of Sichuan showed an accelerating trend. When compared in
Figure 7a,c, although PPT and ET showed increasing trends in most regions of Sichuan, the growth rate of PPT was greater than that of ET. Therefore, it led to an increase in
TWSC (
Figure 6a) without considering other factors. Comparing
Figure 6 and
Figure 7, the change trend of
TWSC in the southern part of Sichuan more clearly indicated that the increase in
TWSC was mainly caused by PPT, and the slowdown in the increasing trend of
TWSC in northeastern Sichuan was also attributed to the slowdown in the growth trend of PPT.
To describe the influence of natural factors on
TWSC in the research region, we compared the time series of monthly
TWSC with PPT, ET, runoff, and
TWSCc in the study period and calculated the correlation coefficients between
TWSC and PPT, ET, runoff, and
TWSCc (
Figure 8). As the main input source of
TWSC, PPT has always been regarded as one of the most important factors affecting regional
TWSC.
Figure 8 shows that PPT, ET, and runoff variations in the study period were about −10~20 cm, −6~6 cm, and −0.5~3 cm, respectively. This shows that the amplitude of the time series of PPT was greater than that of ET and runoff.
TWSC, PPT, ET, and runoff had the significant seasonality, but there was no significant correlation between
TWSC and PPT, ET, and runoff. Comparing
Figure 8b,d,f, the natural factor with the strongest correlation with
TWSC was runoff (0.41), followed by PPT (0.39) and ET (0.29). According to Equation (20), we calculated the time series of
TWSCc data.
Figure 8h shows that
TWSC had a strong correlation with
TWSCc.
Table 5 shows the long-term trend change, acceleration, annual amplitude, and annual phase of
TWSC, PPT, ET, runoff, and
TWSCc. From
Table 5, PPT had a significant increasing trend (1.42 ± 0.69 mm/a), but the change trend of ET and runoff was not as significant (0.32 ± 0.17 mm/a and 0.07 ± 0.07 mm/a). The increasing trend of
TWSCc (0.37 ± 0.53 mm/a) was not significant. This suggests that the main reason for the growth of
TWSC (3.83 ± 0.54 mm/a) was not from natural factors.
To study the correlation between the nature factors and
TWSC in the different regions of Sichuan, we also calculated the correlation coefficients between
TWSC and the above natural factors in five economic regions of Sichuan (
Table 6). The results in
Table 4 all passed the significant test of
p < 0.01. In the five regions, the three natural factors and
TWSCc had no significant correlation with
TWSC. We found that there were differences in the correlation between natural factors and
TWSC in the different region. Among the five regions, the strongest correlation was between
TWSC and TWSC
c in CDP (0.41) because the correlation coefficient between
TWSC and runoff was the largest in CDP (0.48) and the correlation between
TWSC and PPT in CDP (0.41) was second only to the one in NWS (0.42). This may be related to the abundant rainfall and dense river network in CDP [
5]. In PX, the correlation between
TWSC and ET was the strongest (0.45), which is due to the abundant sunlight in the region [
5].
5.4. The Correlation Analysis between TWSC and Human Variability
Except for the natural factors, human activities also had an important influence on regional
TWSC [
50,
51]. The influence of human activities on regional
TWSC was mainly through the two aspects of total water consumption for human activities and reservoir storage. The total water consumption includes production, domestic and ecological water consumption, and production water consumption contains industrial and agricultural water consumption.
We analyzed the water storage changes caused by human activities in Sichuan from 2003 to 2020 (
Figure 9). From
Figure 9a, we found that total water consumption was greater than reservoir storage during 2003–2011. After 2011, the reservoir storage increased dramatically and exceeded the total water consumption. This increasing trend continued until 2015. In the five-year period, the reservoir storage in Sichuan increased from 16.628 billion m
3 to 53.881 billion m
3, an increase of more than three times. From 2015 to 2020, the growth rate of reservoir storage basically flattened. The total water consumption had no significant change during the study period.
Figure 9b presents the annual variation of industrial, agricultural, domestic and ecological water consumption in the study period. It shows that agricultural water consumption was the largest and had a significant growth trend. This is because Sichuan is one of the most important agricultural production bases in China [
6]. Industrial water consumption maintained a steady state during 2003~2013. From 2014, industrial water consumption dropped from 6.067 billion m
3 to 4.473 billion m
3. Subsequently, it began to increase year by year until 2016 (from 4.473 billion m
3 to 5.583 billion m
3). From 2016, it started to decrease continuously and reached the lowest point (2.352 billion m
3) in 2020. We found that the annual average of industrial water consumption from 2014 to 2020 (4.446 billion m
3) was significantly smaller than that from 2003 to 2013 (5.964 billion m
3). This was closely related to the implementation of a water-saving production strategy in Sichuan [
52]. Domestic water consumption remained relatively stable from 2003 to 2008. Since 2009, there has been a significant change in the domestic water consumption. Domestic water consumption from 2009 to 2020 (the average was 4.378 billion m
3) was significantly higher than the one from 2003 to 2008 (the average is 2.220 billion m
3). This is related to the rapid development of the national economy in Sichuan and the continuous growth of urban population [
6]. Before 2017, industrial water consumption was always larger than domestic water consumption, but domestic water consumption exceeded industrial water use after 2017, which is the result of the continuous promotion of water-saving production and urbanization. Because ecological water consumption was relatively small, it can be ignored.
We compared the annual variation of
TWSC with reservoir water storage, total water consumption, industrial water consumption, agricultural water consumption, domestic water consumption, and
TWSCh and calculated the correlation coefficients between
TWSC and six human factors in Sichuan during 2003~2020 (
Figure 10). From
Figure 10a,b, reservoir water storage was strongly correlated with
TWSC in Sichuan (0.82). Previous studies [
53,
54,
55] indicated that when large-scale reservoirs are operated,
TWSC in the region where the reservoir is located and the surrounding regions has a significant influence. Since 1996, China has implemented the West–East Power Transmission Strategy. In Sichuan, a large number of hydropower stations have been built on the main streams of the Jinsha, Yalong and Min Rivers. Particularly, a series of large-scale hydropower stations represented by Xiangjiaba and Xiluodu have been put into operation one after another since 2014. The installed capacity of hydropower stations under construction and already under construction has increased from 16.3 million kW in 2003 to 101.74 million kW in 2017, an increase of more than six times [
56]. Sichuan has become the largest hydropower base in China [
56,
57]. The large-scale water storage, flood discharge, and power generation activities cause drastic changes in the reservoir storage, which inevitably have a significant influence on
TWSC in Sichuan [
58].
In addition to reservoir storage, human-related water consumption also had a significant influence on
TWSC because Sichuan is one of the most populous provinces in China. As of 1 November 2020, the permanent population of Sichuan was 83.67 million. Sichuan is a traditional agricultural province, and is also an industrial base with the most complete industrial categories and the most advantageous products in western China [
59,
60]. Therefore, the construction of the national economy and human life in Sichuan require a lot of water resources. From
Figure 10d,f,h,i,
TWSC had a significant correlation with total water consumption (0.63), industrial (−0.80), agricultural (0.76), and domestic water consumption (0.76). This suggests that only the industrial water consumption was negatively correlated with
TWSC because the more industrial water consumption is mused, the greater reduction in
TWSC. Agricultural production and domestic drainage lead to the growth of soil water and groundwater storage, so it causes an increase in
TWSC [
61,
62]. We also calculated the correlation coefficient between
TWSC and human-induced
TWSC (
TWSCh). From
Figure 9, there was a strong positive correlation between
TWSC and
TWSCh. Comparing
Figure 8h and
Figure 9,
TWSC and
TWSCh (0.81) were more strongly correlated than
TWSC and
TWSCh (0.55).
Table 7 shows the long-term trend change and acceleration of reservoir storage (RS), total water consumption, industrial water consumption, agricultural water consumption, domestic water consumption, and
TWSCh. The increasing trend of reservoir storage was the most significant, reaching 67.45 ± 13.79 mm/a, which was much higher than other human factors. The long-term trend change of total water consumption, industrial water consumption, agricultural water consumption, domestic water consumption, and
TWSCh were 7.27 ± 2.39 mm/a, −2.19 ± 0.98 mm/a, 5.32 ± 1.51 mm/a, 4.64 ± 1.01 mm/a, and 68.73 ± 15.75 mm/a, respectively. This shows that the increase in
TWSCh is mainly caused by the increase in reservoir storage, and agricultural and domestic water consumption also plays a role. We found that industrial water consumption showed a decreasing trend due to the implementation of water-saving production [
52].
We also calculated the correlation coefficient between different human factors and
TWSC in five economic regions of Sichuan (
Table 8). Except for NWS, there was a significant correlation between
TWSC and
TWSCh in other regions. Due to the harsh natural environment, low level of economic development and smaller population, there are fewer human activities in NWS. Moreover,
TWSC and total water consumption showed a strong correlation in most regions because PX is mainly dominated by forestry and animal husbandry, and the proportion of irrigated agriculture is small [
63]. Agricultural water consumption accounts for a large proportion of total water consumption (
Figure 9). Therefore, there was weak correlation between the total water consumption and
TWSC in PX. In five economic regions, reservoir storage and domestic water consumption had strong correlations with
TWSC. This explains that Sichuan is a province with large hydropower and population in China.
5.5. Contribution Rate of Natural and Human Variability to TWSC
According to Equation (22), we calculated the contribution rate (CR) of natural and human factors to
TWSC in Sichuan and its five economic regions (
Figure 11). A larger CR means a more significant influence of this factor on TWSC.
Figure 11a shows the contribution rates of
TWSCc and
TWSCh to
TWSC and indicates that the natural influence on
TWSC (CR = 53.17%) was more than the human one (CR = 46.83%) in Sichuan, but the CR of the two were not very different. However, the human influence was significantly greater than the natural one in the five economic regions. This may be because the regional divisions are based on socioeconomic development.
Among the five regions, the CR of natural factors was the smallest (38.63%) and that of human factors was the largest (61.37%) in NWS. This is because this region is located in the transition region between the Sichuan Basin and Qinghai–Tibet Plateau, so there are abundant hydropower resources. Therefore, reservoir storage has a great influence on
TWSC in this region.
Figure 11c shows that the CR of reservoir storage to
TWSC was 99.58%, which was the largest in the five regions. There was little PPT all year in NWS [
64,
65] because PPT was the natural factor with the largest contribution to
TWSC in the five economic regions (CR > 60%,
Figure 11b).
Figure 11b shows that the CR of PPT to
TWSCc was the smallest in NWS (60.17%). The region with the largest CR of human factors to
TWSC (48.21%) was CDP because CDP is the most economically developed and densely populated region in Sichuan [
66] (
Table 9).
Figure 11c shows that the CR of total water consumption to TWSC
H (3.03%) was the highest in CDP.
These five economic regions were sorted in ascending order of CR of human factors to
TWSC, and their arrangement was NWS (61.37%), SS (56.49%), NES (54.85%), PX (52.6%), and CDP (51.79%). From
Figure 11c, CRs of reservoir storage to TWSCH were greater than 96% in the five economic regions and explains that the reason human factors had a greater influence on
TWSC than natural factors in Sichuan was reservoir storage.
Figure 11d shows that the CR of reservoir storage was much greater than that of natural factors (PPT, ET, and runoff). This is because Sichuan is a province with large hydropower resources in China and one of the starting points of the West–East Power Transmission Project. The proportion of hydropower generation in Sichuan is about 82.83% [
57]. Similarly, according to the CR of natural factors to TWSC, the order of the five economic regions was CDP (48.21%), PX (47.4%), NES (45.15%), SS (43.51%), and NWS (38.63%).
Figure 11b shows that the CRs of PPT to TWSCC were greater than 60% in the five economic regions and explains that PPT had a greater influence on TWSCC than ET and runoff. Therefore, the CR of natural factors to
TWSC mainly depends on PPT.
From
Figure 11b, PPT had the highest CR to
TWSCc, followed by ET and runoff in all regions. The same result was also obtained from
Figure 11d without considering the CR of reservoir storage.
Figure 11c shows the CR of reservoir storage and total water consumption to
TWSCh. We found that except for CDP, CRs of reservoir storage to
TWSCh in the other five regions were close because CDP belongs to the plains, while the other four regions belong to the mountains [
5]. Therefore, there are more abundant hydropower resources in the above four regions. These five economic regions were sorted in ascending order of CR of total water consumption to
TWSC, and their arrangement was CDP (3.03%), SS (1.83%), PX (1.47%), NES (1.25%), and NWS (0.42%). This order was similar to the GDP ranking of the five economic regions, and the difference was the order of PX and NES (
Table 9). From
Figure 11c and
Table 9, the GDP of NES was greater than that of PX, but the CR of total water consumption to
TWSCh in PX was higher than that in NES because PX is the most abundant vanadium and titanium ore resource and one of the four major iron ore regions in China, and the mining and processing of metal ore require a lot of water resources [
67].
Figure 11b,c only considered the most influential factor on
TWSCc and
TWSCh, respectively. We need to further analyze the influence of different natural and human factors on
TWSC in the research regions. From
Figure 11d, we found that the CR of reservoir storage was the highest, followed by PPT, ET, runoff, and total water consumption in the five economic regions. From the perspective of the whole of Sichuan, the CR of total water consumption was greater than that of runoff.