Runoff is one of the key driving forces of watershed hydrological cycle processes. Quantifying the relative impacts of climate change and human activities on runoff change is critical to clarify the mechanisms of watershed hydrological responses. This study analyses the characteristics of hydrological changes in the Jialing River Basin based on observational data from 1957 to 2017. The degree of runoff change was then quantified with the aid of Indicators of hydrologic alterations and Range of variability approach (IHA-RVA) method. By establishing the Budyko model and comparing the Slope change ratio of accumulative quantity (SCRAQ), the influencing factors of runoff change are quantified. The result: (1) Except for Qu River Basin, the average annual runoff of other basins showed a significant downward trend. 1985 was chosen as the abrupt change year. (2) The overall flow alteration in the basin is 50.87%, which is close to the height change. (3) The effects of climate change and human activities on runoff have some spatial variation. Human activities are the main influence factors, of which the contribution rates to the Fu River Basin, the mainstream of Jialing River, Bailong River Basin, and Qu River Basin are 64.57, 66.31, and 74.17% respectively.

  • In this study, we quantified the contribution of climate change and human activities to the change of Jialing River runoff by six Budyko hypothesis formulas with the slope change ratio of accumulative quantity.

  • This study analyses the factors affecting runoff variability and refines climatic factors into rainfall and potential evapotranspiration.

  • A large amount of data collection and pre-processing, including flow data and meteorological data of the Jialing River basin for the past 60 years, etc.

Graphical Abstract

Graphical Abstract
Graphical Abstract

The natural fluctuation of runoff maintains the shape of the river basin, biodiversity, and biological habitat conditions, thus ensuring the stability of the ecosystem (Cloern et al. 2016). With the enhancement of human activities and climate change, the natural runoff process in the basin has been affected to varying degrees, which in turn has changed the regional water cycle conditions. Therefore, assessing the degree of alteration in runoff and quantifying the impact of human activities and climate change is an important way to clarify the changing mechanism of the watershed's hydrological regime and the law of its response.

Attribution analysis of runoff changes at home and abroad usually uses the elastic coefficient method and hydrological model to quantify the impact of human activities and climate change on runoff. Schaake (1990) was the first to describe the sensitivity of runoff to changes in precipitation through the elastic coefficient method. After the improvement, the elastic coefficient method has been extended to a variety of climatic factors, for example, temperature (Fu et al. 2007), potential evapotranspiration (Liu et al. 2013), relative humidity (Dooge et al. 1999), wind speed and solar radiation (Yang & Yang 2011), and quantify the elastic coefficient by the nonparametric method (Sankarasubramanian et al. 2001; Ma et al. 2010) or Budyko formula (Arora 2002; Xu et al. 2014). Hydrological models can be implemented at different scales and have certain mechanistic explanations, but the data requirements are stricter, and there are uncertainties in parameter estimation. Lotfirad used the IHACRES rainfall-runoff model for river flow simulation to assess the impact of climate change on runoff and hydrological drought in the Hablehroud river basin in central Iran (Lotfirad et al. 2021). Xin et al. (2019) used the abcd model to quantify the effects of climate and human activities on seasonal-scale runoff changes in the Huifa River basin. On the time scale, it is still difficult to replace the hydrological model on the seasonal and daily scales, while on the annual scale, such as the water–heat balance theory based on the Budyko hypothesis, the calculation is relatively simple, and the parameters are easy to obtain, which has certain advantages in dealing with related problems. Follow-up researchers proposed the elastic coefficient method based on the Budyko hypothesis, which was used to separate the impact of climate change on runoff and quantify the contribution of the unit climate factor change, which has been widely used.

As the largest tributary in the Yangtze River basin, the Jialing River is the main source of runoff in the upper reaches of the Yangtze River. The change of its runoff directly affects the runoff change of the mainstream of the Yangtze River. In recent years, with the intensification of climate change (rainfall, evapotranspiration) and human activities (reservoir construction and operation, land use, etc.), the spatial and temporal patterns of the water cycle in the basin have changed accordingly, altering the exploitation and natural distribution of water resources and gradually expanding the impact on the ecological environment of the basin (Wu et al. 2018). Relevant scholars have done a lot of research on the hydrological situation of the Jialing River. Li et al. (2020) studied the long-term change pattern of Jialing River runoff and found that the influence of climate change on runoff showed a weakening trend, and the influence of human activities gradually increased and dominated. Richter et al. (1996) was the first to develop the ecological hydrological index variation range method IHA. After continuous improvement by later scholars, this method has been widely used in hydrological changes and ecological effects (Richter et al. 1998; Bin Ashraf et al. 2016; Gao et al. 2018; Huang et al. 2019; Yang et al. 2020). Ding et al. (2008) applied mathematical models to reveal the causes of annual runoff and sand transport changes in the Jialing River basin, and investigated the relationship between precipitation and sand transport, and human activities and sand transport. Zhou et al. (2020) quantitatively evaluated the contribution of climate change and human activities to runoff changes in the Jialing River using an improved double mass curve, attributing the main factors to human activities such as the construction of large reservoirs and land use after 1985, and concluded that the multi-year scale annual average runoff in the Jialing River basin showed a decreasing trend, and the contribution of human activities to runoff changes in the basin reached 65%. Meanwhile, for the attribution analysis of runoff changes in the Jialing River, although some scholars have quantitatively assessed the contributions of different factors, the influence of river evapotranspiration, and the response between runoff changes and each element have rarely been considered. Analyzing the degree of contribution of multiple influencing factors to runoff changes in the basin is beneficial to promote ecological restoration and sustainable development of the Yangtze River basin. Therefore, further research is needed.

The purpose of this study is to quantify the contribution rates of climate change and human activities to the runoff changes in the Jialing River basins over a long time series. Taking 1985 as the abrupt year, a series of ecological indicators were used to evaluate the runoff of the Jialing River. Combined with the ecological response mechanism under the change of the hydrological regime in the Jialing River basin, the response law of the runoff regime before and after the abrupt period was deduced. The hydrothermal coupling theory based on the Budyko elastic coefficient method and the method of the slope change rate of cumulants were used for comparative analysis to separate and quantitatively evaluate the influence of climatic factors (rainfall, potential evapotranspiration) and human activities to runoff change. The Jialing River Basin is divided into three sub-basins for specific analysis, and the differences in the impact of human activities and climate change on runoff changes are distinguished in time and space, which fills the gap of this research basin, achieves understanding and protects the health status of the basin, and realizes the realization of water resources in the basin. For sustainable regulation, the research results have important guiding significance for the restoration of watershed habitats.

Study area

The Jialing River Basin is located in the upper reaches of the Yangtze River, with a mainstream of 1,120 km in length and an area of 1.6 × 105 km2. The river originates from the southern foot of the Qinling Mountains in the northwest, and the terrain gradually decreases to the south. The Jialing River Basin belongs to the subtropical humid monsoon climate, and the rainfall concentration period is from May to October, accounting for about 80% of the annual precipitation. The entire Jialing River basin is divided into three major water systems: Fu River, Qu River, Jialing River, and Bailong River, which are controlled by Xiaoheba (XHB), Luoduxi (LDX), and Wusheng (WS) Hydrological Stations respectively. Beibei (BB) hydrological station is the total water outlet control station in the Jialing River Basin, controlling 98% of the hydrological conditions in the Jialing River Basin (Wang et al. 2019). The basin map is shown in Figure 1.
Figure 1

Plan of Jialing River Basin.

Figure 1

Plan of Jialing River Basin.

Close modal

Data source

In this study, we selected daily flow data from 1957 to 2017 at Beibei hydrological station in the Jialing River basin, and annual flow data from Xiaoheba, Wusheng, and Luoduxi hydrological stations, with mean values of 2,097.82, 437.54, 783.1, and 680.55 m3/s, respectively. The above data are from the ‘‘Hydrological Yearbook of Yangtze River Basin’’. The meteorological data were obtained from 12 meteorological stations in the Jialing River basin, including precipitation, maximum temperature, minimum temperature, air pressure, relative humidity, etc. The average values in the basin were obtained through Tyson polygons as 962.62 mm, 21.41°C, 13.82°C, 972.24 hpa, and 78.97%. These data were obtained from the China Meteorological Data Network (http://data.cma.cn/). Based on gridded data from 1998 to 2020 with a 1 km resolution, the Normalized Difference Vegetation Index (NDVI) employed in this study first calculates the monthly NDVI using the maximum approach and then means the monthly NDVI to calculate the yearly NDVI. NDVI data for each period are obtained from the Resource and Environment Science and Data Center of the Chinese Academy of Sciences (https://www.resdc.cn/data.aspx), and the data production is based on the Landsat TM/ETM remote sensing images of each period as the main data source and generated by manual visual interpretation.

Hydrological situation analysis

Since the Mann–Kendall nonparametric test method is not affected by outliers when analyzing hydrological data, it has been widely used in the hydrological analysis. In this study, the M-K method is used to identify the evolution law of Jialing River runoff, and to determine the year of the sudden change in the hydrological conditions of the basin (Burn & Elnur 2002; Kahya & Kalaycı 2004). The mean difference T-test method was used to verify the runoff mutation year obtained by the M-K nonparametric test method. The specific calculation principle of the method is shown in Huntington (2006).

The continuous wavelet transform method based on the Moret wavelet (Nakken 1999) was used to analyze the periodic changes of runoff in the long-term sequence scale. is a wavelet function and satisfies the relation:
(1)
(2)
In this formula, , is the wavelet given by equation, for a given energy-limited signal , the continuous wavelet function is:
(3)

In this formula, ‘W’ is the wavelet transform coefficient; ‘’ is a signal or square-integrable function; ‘a’ is the scale factor, reflecting the period length of the wavelet; ‘b’ is the translation factor, reflecting the translation in time ‘’ is the complex conjugate for ‘’.

Runoff situation change index system and change degree method

The RVA method is a set of methods based on the IHA hydrological index system proposed by Richter et al. (2003) and Guo et al. (2018). The indicators selected by IHA can describe the changes in the hydrological situation in detail in five aspects: magnitude, timing, frequency, duration, and rate of change. In this study, an ecologically significant flow indicator system was established, including five groups of 32 indicators (Table 1). The following are the specific calculations:
(4)
(5)
Table 1

Indexes of IHA

IHA parameter groupParameter index
Monthly median flow Median data for monthly flow 
Annual extreme flow Annual average 1, 3, 7, 30, 90 days minimum and maximum flow, base flow indexa 
Annual extreme flow occurrence time The time of the largest and smallest daily pulses in the year 
Frequency and duration of high and low pulses The median of yearly high and low pulse countband pulse duration 
Change rate and frequency of flow change The mid-year value of increase (rate of increase) and decline (decline rate). The number of reversalsc for increase (rate of increase) and decline (decline rate) 
IHA parameter groupParameter index
Monthly median flow Median data for monthly flow 
Annual extreme flow Annual average 1, 3, 7, 30, 90 days minimum and maximum flow, base flow indexa 
Annual extreme flow occurrence time The time of the largest and smallest daily pulses in the year 
Frequency and duration of high and low pulses The median of yearly high and low pulse countband pulse duration 
Change rate and frequency of flow change The mid-year value of increase (rate of increase) and decline (decline rate). The number of reversalsc for increase (rate of increase) and decline (decline rate) 

aBase flow Index: The ratio of the minimum annual flow of 7 consecutive days to the annual median value.

bLow pulse is defined as the median of the day lower than 25% of the frequency before the disturbance, and high pulse is defined as the median of the day higher than 75% of the frequency before the disturbance.

cThe number of reversals refers to the number of times the daily flow changes from increasing to decreasing or decreasing to increasing.

In this formula, ‘Di’ represents the change degree of the ith index; ‘Do’ represents the overall flow change degree; ‘Noi’ represents the number of years that the ith disturbed flow index falls within the RVA threshold; ‘Ne’ represents the expectation that the runoff index is expected to fall within the RVA threshold after disturbance Years; ‘r’ represents the proportion of the runoff index falling within the RVA threshold before disturbance, taking 50%; ‘n’ represents the number of indicators. The scale of change is specified: 0–33% is low change (L); 33–67% is moderate change (M); 67–100% is high change (H).

Budyko elastic coefficient method hydrothermal coupling model and SCRAQ

This study is based on the complementary analysis method of the six Budyko hypothetical formulas of water and heat balance theories and compared with the SCRAQ (Wang et al. 2012) to quantify the impact of precipitation, potential evapotranspiration, and human activities on changes in runoff patterns. According to the Budyko hypothesis (Fathi et al. 2019; Liu et al. 2019), under certain natural conditions, the long-term hydroclimatic characteristics of the basin obey the principle of rainfall and evaporation balance. Previous studies have shown that the actual evapotranspiration in the basin is mainly constrained by precipitation and potential evapotranspiration. There is a functional relationship F between the annual average evapotranspiration ‘E’ and the ratio of the average annual rainfall ‘P’ and the watershed drought index E0/P in the long-term series of the basin, which can be described as:
(6)
In the formula ‘φ’ is the drought index; ‘n’ is the underlying surface parameter, which can be obtained from the basin water balance equation, which can be expressed as:
(7)
In the formula ‘Q’ represents the average annual runoff of the watershed (mm); ‘P’ represents the average annual rainfall in the basin (mm); ‘E ’ represents the actual evapotranspiration (mm); ΔS’ is the amount of water storage change in the basin. It is generally considered that ΔS is negligible when the analysis is on a long time scale and the basin is a closed basin; ‘ET0’ is calculated using the Penman–Monteith formula, the formula is:
(8)

In the formula, ‘ET0’ is the potential evapotranspiration (mm); ‘Δ’ is the slope of saturated vapor pressure curve (kPa/°C); ‘Rn’ is net radiation MJ/(m2·d); ‘G’ is soil heat flux MJ/(m2·d); ‘’ is the wet and dry constant (kPa/°C);T’ is the average temperature (°C); ‘u2’ is the wind speed at 2 m above the ground (m/s); ‘es’ is the saturated vapor pressure (kPa); ‘ea’ is the actual water vapor pressure (kPa). In the formula, the ‘ ΔRn’, ‘G’, ‘’, ‘es’, and ‘ea ’ can be obtained from meteorological data such as the average temperature, average maximum, minimum temperature, relative humidity, sunshine hours, and so on of each site.

Studies have shown that the change of runoff in the basin is mainly caused by multiple factors of precipitation and human activities, supplemented by potential evapotranspiration. The contribution rate calculation formula:
(9)
(10)
(11)

In the formula, ‘ΔQ’ is the change of flow before and after the abrupt period; ΔQC and ΔQH are the runoff changes caused by climate change and human activities, respectively; ‘ηC’ and ‘ηH’ are the contribution rates of climate change and human activities to the runoff change, respectively.

In this study, the elastic coefficient method is combined with the water balance equation, drought index and six formulas based on the Budyko hypothesis. The calculation formulas for the changes ΔQC and ΔQH of climate change and human activities to runoff are as follows:
(12)
(13)
(14)

In the formula, ‘ΔE0’ and ‘ΔP’ are the changes in potential evapotranspiration and precipitation before and after the mutation period, respectively; ‘’ and ‘’ are the elastic coefficients of runoff to rainfall and potential evapotranspiration, respectively; The ‘’ and ‘’ in the formula is detailed in Table 2.

Table 2

Formula details

NumberLiterature Resources
  Zhang et al. (2001)  
  Fu (1981)  
  Schreiber (1904)  
  Budyko (1948)  
  Pike (1964)  
  Ol'dekop (1911)  
NumberLiterature Resources
  Zhang et al. (2001)  
  Fu (1981)  
  Schreiber (1904)  
  Budyko (1948)  
  Pike (1964)  
  Ol'dekop (1911)  

To quantify the contribution rates of rainfall (P), potential evapotranspiration (E0), and human activities to changes in runoff (Q), the cumulative P, E0, and Q slope change rates (W) are:
(15)
In the formula, ‘x’ represents ‘P’, ‘E0’ and ‘Q’; ‘Spre ’ and ‘Spost ’ are the slopes of the cumulative amount before and after mutation, and the contribution rate of each impact factor can be expressed as:
(16)
(17)
(18)
The following is the technology roadmap (Figure 2) for this study:
Figure 2

Technology Roadmap.

Figure 2

Technology Roadmap.

Close modal

Analysis of runoff evolution characteristics

Interannual variability

Due to the confluence of the Jialing River tributaries, there is a significant increase in runoff from the downstream Beibei station. Since 1957, there has been a downward trend in the interannual variance of the runoff at the four major hydrological stations in the Jialing River Basin, with a law of simultaneous increase and reduction (Figure 3). From the 1960s to the 1970s, the average annual runoff at Beibei Station showed a downward trend then gradually recovered and continued to decline since 2006. Changes in runoff during this period were caused by climate change and widespread human activity. Compared with the other three stations, the annual average runoff variation at Beibei station is more volatile, which reflects the great influence of sink flow on runoff variation in interannual variability.
Figure 3

Average annual runoff variations of four hydrological stations in the lower reaches of the Jialing River.

Figure 3

Average annual runoff variations of four hydrological stations in the lower reaches of the Jialing River.

Close modal
The nonparametric Mann–Kendall test method was used to mutation test and analyze the long-term average annual runoff of the four hydrological stations in the lower reaches of the Jialing River, and the statistic Zc was obtained (Figure 4). The Zc value of the statistics of each hydrological station is negative. Except for Luoduxi Station, the absolute value of the statistics of each station has passed the 90% significance test, reflecting that the average annual runoff of each station shows a significant downward trend.
Figure 4

M-K mutation test of (a) Beibei runoff, (b) Xiaoheba runoff, (c) Wusheng runoff, (d) Luoduxi runoff.

Figure 4

M-K mutation test of (a) Beibei runoff, (b) Xiaoheba runoff, (c) Wusheng runoff, (d) Luoduxi runoff.

Close modal

Since there may be mutation points with low mutation reliability in the testing process of this method, considering that there are multiple mutation years that pass the 90% significance test, the mean difference T-test (Table 3) is used to verify the double mutation of the results. The study finally attributed the sudden change in the hydrological evolution of the Jialing River Basin to 1985.

Table 3

Results of Mann–Kendall analysis of the runoff discharge variation trend at the main hydrologic stations in the Jialing River

Hydrometric stationBeibeiXiaohebaWushengLuoduxi
ZC −2.69 −3.29 −2.44 −0.86 
Inspection criterion      
Tendency Significant reduction Significant reduction Significant reduction Insignificant reduction 
Hydrometric stationBeibeiXiaohebaWushengLuoduxi
ZC −2.69 −3.29 −2.44 −0.86 
Inspection criterion      
Tendency Significant reduction Significant reduction Significant reduction Insignificant reduction 

Intra-year variability

Comparing the causes of intraannual distribution changes of flow in the Jialing River basin before and after the abrupt change period, the reservoir storage in the middle of the monthly scale has the effect of cutting the peak to compensate for the dryness of the incoming water, which makes the downstream flow to be franked. The analysis of the annual change of runoff at Beibei Station (Figure 5) shows that the flood season generally occurs from July to October each year. The cascade reservoirs in the basin will be jointly dispatched to reduce the peak flow to meet the downstream flood control needs. The storage capacity is released in advance to prepare for the flood season. It can be observed that the downstream flow from April to June shows a change rule of first increase and then decrease. During the dry season from November to April of the following year, in order to meet the downstream irrigation and shipping needs, the reservoir releases water to increase the peak flow. At the same time, it can be found that in the main flood season from August to September with abundant inflow, the symmetry of the flow distribution curve before and after the sudden change period gradually decreases, because, with the continuous rainfall, the flow regulation effect of the joint operation of the reservoir is gradually obvious. From September to October, when the main flood season ends, the reservoir begins to store water, raising the water level in the reservoir area to meet the demand for power generation, resulting in a decrease in downstream flow. Therefore, according to the annual variation law of flow in the Jialing River Basin, it is seen that the change of runoff is mainly affected by rainfall and reservoir regulation and storage (Guo et al. 2021).
Figure 5

Seasonal changes of runoff in the Jialing River Basin before and after the mutation.

Figure 5

Seasonal changes of runoff in the Jialing River Basin before and after the mutation.

Close modal

Periodic variation

The Morlet wavelet analysis of the fluctuation characteristics of the average annual runoff in the Jialing River Basin. As shown in Figure 6, the change of runoff at Beibei station and Wusheng station in the Jialing River Basin had similar characteristics on multiple scales in the past 60 years. There are three types of interannual-scale periodic changes in average annual runoff, which are 3–6a, 7–16a, and 17–32a, and on the time scale of 17–32a, the average annual runoff has experienced ‘abundance → dry → abundance →dry → abundance → dry’ fluctuations. These fluctuations in the small-scale period are more frequent. The fluctuation characteristics of Xiaoheba Station and Luoduxi Station are different from those of Beibei Station and Wusheng Station.
Figure 6

Variation of runoff period at hydrological stations in Jialing River Basin. (a) The cycle of Beibei station; (b) The cycle of Xiaoheba station; (c) The cycle of Wusheng station; (d) The cycle of Luoduxi station.

Figure 6

Variation of runoff period at hydrological stations in Jialing River Basin. (a) The cycle of Beibei station; (b) The cycle of Xiaoheba station; (c) The cycle of Wusheng station; (d) The cycle of Luoduxi station.

Close modal

Quantitative analysis of runoff evolution

IHA-RVA flow rate change

In this study, the daily flow data of Beibei Station from 1957 to 2017 were used to analyze the flow change of the entire Jialing River basin before the abrupt change. The natural state range of 32 hydrological indicators was defined with the daily flow data before the mutation, and the number of years when the 32 parameters of the daily flow fell within the target range after the mutation was calculated to measure the degree of alteration of the parameters of runoff change. Usually, the average value of each index parameter of the natural state flow series plus or minus the standard deviation or 33–67% of the frequency of each index is the upper and lower thresholds.

Among the 32 flow indicators representing the hydrological situation of the Jialing River, there are six indicators with a high degree of alteration, of which the largest degree of alteration is that the number of reversals reaches 90.63%; 13 indicators are moderate change; 13 indicators are the low degree of alteration (Figure 7). According to formula (5), the degree of alteration of these five groups' runoff indexes is 45.00, 42.67, 48.53, 52.43, and 65.70%, respectively. The five groups of indicators have achieved moderate degrees of alteration, and the overall hydrological alteration has reached 50.87%. On an annual scale, the degree of flow change in the Jialing River Basin is close to a high change.
Figure 7

Degrees of Indicators Of Hydrologic Alteration In the Jialing River Basin.

Figure 7

Degrees of Indicators Of Hydrologic Alteration In the Jialing River Basin.

Close modal

Frequency and duration of high and low pulses

The number of low-flow pulses at Beibei Station gradually increased after the mutation, while the number of high-flow pulses remained unchanged before and after the mutation. However, the duration of high and low pulses decreased (Figure 8). The number of low-flow pulses time was increased from 2 to 10, and the duration of low-flow pulses was reduced from 32 to 2 days. The number of high-flow pulses time was maintained at 9, and the high-flow duration decreased from 6 to 5 days, with no obvious change. Among them, the changes in the number of low-flow pulses and duration are the most obvious, and the degree of alteration reaches 68.75 and 37.5%, respectively.
Figure 8

Pulse times and duration of low flow (a, Frequency; b, Days).

Figure 8

Pulse times and duration of low flow (a, Frequency; b, Days).

Close modal

Monthly median flow

After the mutation, the changes in the median flow in March and September were more obvious, and both reached a high degree of alteration, which can be attributed to the joint operation of the climate and the upstream reservoir group of Beibei Station. After the impoundment of the reservoir, the discharge flow increased during the dry season in March, increasing the flow, and the change rate reached 71.88% (Figure 9(a)). During the wet season in September, the reservoir began to store water and reduce the discharge flow, resulting in a decrease in flow, and the change rate reached 78.12% (Figure 9(b)). Through the comprehensive comparative analysis of flow changes and changes in March and September, it is seen that considering the sudden increase in rainfall during the flood season, the change degree of the decrease in flow caused by the storage of water in the reservoir is greater than that caused by the increase in flow caused by the release of water in the dry season in March, which indirectly proves that during the year, the joint operation of reservoirs in the Jialing River Basin resulted in a change in runoff that was greater than the impact of climate change. Two, five, eight, 11, and 12 months are all low changes, the same as the Figure 5 performance. The reason can be attributed to the weak regulation of the reservoir during this period and the stable rainfall during non-special periods.
Figure 9

Monthly median flow (a, March; b, November).

Figure 9

Monthly median flow (a, March; b, November).

Close modal

Analysis of the contribution of human activities and climate change to runoff change

Attribution analysis of runoff change based on Budyko hypothesis

The results of the attribution analysis of runoff changes are shown in Figure 10. The six Budyko formulas are used to calculate the contribution rate of climate change to runoff change () and the contribution rate of human activities to runoff change (), and the results are similar. Interactions with humans all contributed positively to the reduction of Jing flow in the Fu River Basin, Jialing River and Bailong River Basin, and Qu River Basin, while the potential evapotranspiration had a negative contribution rate to the change of runoff. For the Fu River Basin, the average contribution rate () of rainfall to runoff change is 49.29%, the average contribution rate () of potential evapotranspiration to runoff change is −14.15%, and the average contribution rate of human activities to runoff change is 64.57%. For the Jialing River and Bailong River basins, the average contribution rates of rainfall, potential evapotranspiration, and human activities to runoff change are 45.60, −11.50, and 66.31%. For the Qu River basin, the average contribution rates of the above factors are 38.46, −13.02, and 74.17%. The average contribution rates of the above factors to the runoff change in the entire Jialing River basin are 42.66, −12.06, and 69.61%, respectively. To sum up, human activities are the main factors leading to the change of runoff in the Jialing River Basin, and rainfall is the dominant factor in the climate.
Figure 10

The distribution characteristics of climate elasticity coefficients and drying factor (a, Beibei; b, Xiaoheba; c, Wusheng; d, Luoduxi).

Figure 10

The distribution characteristics of climate elasticity coefficients and drying factor (a, Beibei; b, Xiaoheba; c, Wusheng; d, Luoduxi).

Close modal

Attribution analysis of runoff change based on SCRAQ

The effect of rainfall, potential evapotranspiration, and human activities on the change of runoff in the Jialing River Basin was analyzed using the SCRAQ method (Figure 11). Through comparative analysis with the Budyko method, it is concluded that the error of the contribution rate of the runoff affected by rainfall in the Fu River, Qu River Basin, the mainstream of the Jialing River, and the Bailong River Basin before and after the mutation does not exceed 8%. The comparison error of the contribution rate affected by potential evapotranspiration does not exceed 6%. The contribution rate comparison error affected by human activities is no more than 4%. Using the cumulant slope change method to analyze the entire Jialing River basin, the contribution rates of rainfall, potential evapotranspiration, and human activities to the runoff change were 33.88, −8.36, and 74.48%, respectively. There is not much difference between the conclusions obtained by the two methods, and it can be concluded that the results have high accuracy. It is again determined that rainfall and human activities are the main factors affecting the change of runoff in the Jialing River Basin.
Figure 11

The SCRAQ method to quantify the contribution of rainfall, potential evapotranspiration, and human activities to runoff change (a, Beibei; b, Xiaoheba; c, Wusheng; d, Luoduxi).

Figure 11

The SCRAQ method to quantify the contribution of rainfall, potential evapotranspiration, and human activities to runoff change (a, Beibei; b, Xiaoheba; c, Wusheng; d, Luoduxi).

Close modal

Analysis of influencing factors of runoff variation

The impact of climate change on runoff

Rainfall in climatic conditions is a key factor that leads to changes in runoff, and the impact of its changes is direct (Wei et al. 2020). Figure 11 shows the correlation analysis of rainfall, potential evapotranspiration, and runoff depth in the Jialing River Basin. The runoff depth can well represent the characteristics of runoff variation in a single research field. According to Figure 12(a), it is seen that there is a nearly parallel linear correlation between the trend of runoff depth and rainfall change, the overall trend is upward, and the residual sum of squares is above 0.7, which is a good fit. Before and after the abrupt period, the change rate of rainfall with runoff depth showed a slight downward trend, showing that with the increase of runoff depth, the rainfall increment also decreased to a certain extent; the correlation coefficient between runoff depth and rainfall decreased from 0.8367 to 0.7192, indicating a sudden change. The impact rate of rainfall on the runoff change in the Jialing River Basin is weakening.
Figure 12

The relationship between runoff depth and rainfall and potential evaporation.

Figure 12

The relationship between runoff depth and rainfall and potential evaporation.

Close modal

According to Figure 12(b), it is seen that the potential evapotranspiration and the runoff depth change in opposite trends, and the potential evapotranspiration and the runoff depth show a negative correlation change. Before and after the mutation, the change rate of potential evapotranspiration with runoff depth decreased from 0.285 to 0.167, indicating that the effect of potential evapotranspiration was weak. Similarly, the correlation coefficient decreased from 0.367 to 0.07, indicating that the potential evapotranspiration was affected by the impact of runoff changes gradually weakening.

To sum up, rainfall dominates the climatic factors in the Jialing River Basin, which is the key factor leading to the change in runoff. This is consistent with the research results of Guo et al. (2015) and others. It shows that the potential evapotranspiration in the Jialing River Basin has a certain degree of influence on the runoff change and can be ignored. The extent can be ignored. However, with the gradual increase of human activities, the impact of climate on runoff has been relatively diluted, and human activities have gradually played a leading role in the change of runoff (Hayashi et al. 2015).

The impact of human activities on runoff

In addition, the factors affecting the change of runoff are the construction and operation of reservoirs and the change of the subsurface in the basin. The Jialing River has the largest number of reservoirs in the entire tributary of the Yangtze River, and it is also one of the earliest hydropower development areas in the country. Most of the large reservoirs (total reserves over 100 million cubic meters) were built after the mid-1980s as shown in Table 4. As shown in Figure 13, with the successive construction of large-scale cascade dams, the annual runoff presents a downward trend in the Jialing River basin. As the large reservoirs in the basin (Tingzikou, Caojie, Baozhusi, Shengzhong, etc.) are built one after another, the runoff will decrease significantly, especially when they are first put into operation, but gradually slow down or even rebound occurs after normal operation. The Jialing River Basin is located in the upper reaches of the Yangtze River. Due to its special geographical location, the main purpose of dam construction is hydroelectric power generation, and the demand for irrigation is relatively small. Therefore, the direct impact of dam construction on total runoff is limited. However, with the construction of large reservoirs and the formation of cascade reservoirs, the sediment flux has changed significantly and adjusted the water and sediment transport mechanism of rivers at the basin scale (Lu 2005), which led to changes in the underlying surface, and in vegetation restoration and under the combined influence of climatic factors, the long-term runoff generally showed a downward trend.
Table 4

Information on several typical reservoirs in the Jialing River basin

ReservoirExisting locationControl watershed area/km2The year of completionCapacity/100 million m3
Tingziko Jialing River 62,550 2013 41.2 
Baozhusi Bailong River 28,428 1996 25.5 
Caojie Jialing River 156,100 2011 22.2 
Shengzhong Xi River 1,756 1984 13.4 
Biko Bailong River 26,000 1976 5.2 
Hongyanzi Jialing River 2002 3.55 
Wudu Jialing River 2010 3.53 
ReservoirExisting locationControl watershed area/km2The year of completionCapacity/100 million m3
Tingziko Jialing River 62,550 2013 41.2 
Baozhusi Bailong River 28,428 1996 25.5 
Caojie Jialing River 156,100 2011 22.2 
Shengzhong Xi River 1,756 1984 13.4 
Biko Bailong River 26,000 1976 5.2 
Hongyanzi Jialing River 2002 3.55 
Wudu Jialing River 2010 3.53 
Figure 13

The relationship between cumulative storage capacity and runoff in the Jialing River basin.

Figure 13

The relationship between cumulative storage capacity and runoff in the Jialing River basin.

Close modal
In the past half-century, the land use in the Jialing River Basin has undergone tremendous changes. The main influencing factors include changes in farmland and arable land, and vegetation restoration. Studies have shown that the factors affecting the change of runoff include the change of the underlying surface. The underlying surface in the watershed is mainly controlled by factors such as topography, soil, land use, and vegetation coverage (Yang et al. 2015). However, factors such as topography and soil in the same watershed may change only after an extremely long period or rare natural geological disasters. In this study, the normalized vegetation index (NDVI) is used to quantify the change in vegetation cover. Figure 14(a) reveals the NDVI changes in the Jialing River Basin from 1982 to 2017, and the vegetation coverage changes in the Jialing River Basin are obtained. Showing a transition trend from southwest to northeast, the southern part of the basin is mostly urban land and the terrain is relatively flat, so the change is relatively small; From 1982 to 2017, the average annual NDVI has been on an increasing trend with an increase of about 20% (Figure 14(b)), which is consistent with the Cui et al. (2020) simulated NDVI values for the Yangtze River basin, indicating that the implementation of large-scale vegetation restoration projects since the 1980s has played a significant role. With the gradual increase of the vegetation cover index, the runoff in the basin shows a downward trend in (Figure 14(c), indicating that the vegetation cover has a significant effect. Soil and water conservation have a certain impact on the change of runoff in the watershed.
Figure 14

(a) Temporal and spatial distribution of vegetation coverage in Jialing River Basin. (b) Interannual alteration of NDVI in Jialing River Basin. (c) The relationship between NDVI and runoff in Jialing River.

Figure 14

(a) Temporal and spatial distribution of vegetation coverage in Jialing River Basin. (b) Interannual alteration of NDVI in Jialing River Basin. (c) The relationship between NDVI and runoff in Jialing River.

Close modal

Since the 1980s, the land-use situation in the Jialing River Basin has also changed accordingly. Wang et al. (2019) used the SWAT model to quantitatively analyze the land-use change in the Jialing River Basin from 1985 to 2005 by constructing a variety of scenarios. The study found that the forest land in the basin decreased by about 399 km2, the urban construction land increased by about 57 km2, the cultivated land, grassland, and industrial land showed different changes in different regions. The cultivated land in the upstream area increased by 71 km2, the middle and lower reaches decreased by about 174 km2, the grassland in the upper reaches decreased by about 7 km2, while the grassland and industrial land increased by about 307 and 26 km2 in the middle and lower reaches, respectively.

To sum up, the effects of human activities on runoff change are presented in different aspects. Among the underlying surface factors, the common influence of various soil and water conservation work, farmland irrigation, the joint operation of cascade reservoirs, and land use (Hu et al. 2016) should also be considered.

Ecological responses to runoff change

Changes in runoff patterns under natural conditions can be used as important indicators to evaluate the level of ecological diversity and the vulnerability of the ecological environment in the basin. Ecological environment vulnerability refers to the description of the ecosystem's ability to resist external disturbances and self-repair after damage (Zhang et al. 2009) and is affected by both climatic factors and human activities. Under the influence of strong external disturbance, fragile ecosystems may have irreversible effects on the health, stability, balance, and evolution of the ecosystem.

The Jialing River Basin is rich in fish diversity, with many endemic fish species, currently occupying one third of the entire Yangtze River Basin (Wei et al. 2012). With the construction of a series of cascade hydropower stations, the expansion of the catchment area of the reservoir area and the slowing of the flow rate, the original water ecological environment of the river has been changed, and the growth and reproduction of fish with migratory characteristics, suitable for rapids habitat characteristics, and drifting egg-producing characteristics have been hindered. Waters suitable for fish growth and reproduction are affected (Liu et al. 2021). However, with the increase of the catchment area of the reservoir area, the fishery production potential of the reservoir area has increased. Some still-water-loving fish may increase with the increase of plankton in the reservoir area, such as carp, crucian carp, and some cucurbits, which can promote the increase of fishery production in some reservoir areas (Yu et al. 2014).

Taking the southern section of the middle reaches of Jialing River as an example, there are about 28 species of waterfowl observed at present, among which the spotted duck, red-billed gull, and cormorant account for 50.87% of the total number of birds in this area (Guo-fu & Xue-fu 2008). In recent years, the survey found that the number of waterfowl has gradually decreased. The reason is that the ‘canalization’ of the Jialing River and the construction of cascade reservoirs have led to the flooding of large-scale river floodplains, central bar, and other suitable places for waterfowl to live in the basin. The surrounding ecological environment has been changed so that it is difficult to form new suitable habitats through natural restoration in the short term (Fang & Hui-Ling 1998). Therefore, the reduction of suitable habitats for waterfowl in the watershed is the direct cause of the decline.

To determine the impact of climate change and human activities on runoff patterns in the Jialing River Basin. This study comprehensively assessed the hydrological regime from the aspects of interannual and intraannual variation characteristics, abrupt changes, and periodic fluctuations, and quantified the degree of alteration in runoff processes under changing environments with the help of IHA-RVA. Then, this study constructs Budyko model based on the principle of water balance, quantitatively separates the effects of climate change and human activities, and tests the results with the help of SCRAQ method. The results can be summarized as follows:

  • (1)

    According to the test results of the Mann-Kendall nonparametric test method and the mean difference T-test method, the runoff of the four hydrological stations on the Jialing River from 1957 to 2017 showed a downward trend, and all passed the 95% significance test, and finally determined that the 1985 year is the mutation year.

  • (2)

    The Joint Reservoir Group has an obvious peak-shaving effect on the average annual runoff in the Jialing River Basin. After the mutation period, the monthly median flow rate of Beibei Station showed a downward trend in March and an upward trend in September, and both reached a high degree of alteration. The duration of the extreme flow at Beibei Station showed a downward trend, and the number of low-flow pulses increased and reached a high degree of alteration. The overall flow change in the Jialing River Basin is 50.87%, which is a moderate change.

  • (3)

    Human activities are an important factor in the runoff change of the Jialing River. The contribution rates to the runoff changes in the Fu River Basin, the Qu River Basin, the Jialing River Main Stream, and the Bailong River Basin are 64.57, 74.14, and 66.31% respectively. The sensitivity of runoff to rainfall and potential evapotranspiration is the same, the contribution rate of rainfall to it is 27.10, 29.90, and 23.10%, respectively; the contribution rate of potential evapotranspiration to runoff change is about 5%.

The results of the study help to understand the characteristics and driving mechanisms of the evolution of the hydrological situation in the Jialing River basin under the changing environment, and provide a reference for policy-makers to develop water management countermeasures to accommodate climate change and intensified human activities. The next research should focus on building a comprehensive framework based on the existing results, combining hydrological models to restore natural flows while distinguishing the effects of different types of human activities (land-use change, reservoir scheduling, and human water withdrawal) on the changes of basin runoff, which will analyze the basin water resources system from a more comprehensive perspective and provide valuable information for adjusting different types of human activity responses.

H.W. conducted funding acquisition, administered the project, brought resources, conducted an investigation, and supervised the work. Y.M. conceptualized the whole article, conducted data curation, formal analysis, investigation, developed the methodology, brought resources, developed the software, validated and visualized the article, wrote the original draft, and wrote the review and edited the article. H.Y. conducted an investigation and a formal analysis, developed the methodology, and validated and visualized the article. F.H. visualized the article and conducted investigation and formal analysis. W.G. conducted funding acquisition and administered the project.

This study was supported by the National Natural Science Fund of China (51779094); The 2016 Henan University Science and Technology Innovation Talent Support Plan (16HASTIT024); The Guizhou Provincial Water Resources Department 2020 Water Conservancy Science and Technology Project (KT202008).

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

Arora
V. K.
2002
The use of the aridity index to assess climate change effect on annual runoff
.
Journal of Hydrology
265
(
1–4
),
164
177
.
doi:10.1016/s0022-1694(02)00101-4
.
Budyko
M.
1948
Evaporation Under Natural Conditions
.
Gidrometeorizdat
,
Leningrad
,
Russia
.
Burn
D. H.
&
Elnur
M. A. H.
2002
Detection of hydrologic trends and variability
.
Journal of Hydrology
255
(
1–4
),
107
122
.
doi:10.1016/s0022-1694(01)00514-5
.
Cloern
J. E.
,
Abreu
P. C.
,
Carstensen
J.
,
Chauvaud
L.
,
Elmgren
R.
,
Grall
J.
,
Greening
H.
,
Johansson
J. O. R.
,
Kahru
M.
,
Sherwood
E. T.
,
Xu
J.
&
Yin
K. D.
2016
Human activities and climate variability drive fast-paced change across the world's estuarine-coastal ecosystems
.
Global Change Biology
22
(
2
),
513
529
.
Cui
L.
,
Wang
Z.
&
Deng
L.
2020
Vegetation dynamics based on NDVI in Yangtze River Basin(China) during 1982–2015
.
Applied Ecology and Environmental Research
18
(
2
),
3543
3556
.
doi:10.1088/1757-899X/780/6/062049
.
Ding
W. F.
,
Zhang
P. C.
&
Ren
H. Y.
2008
Quantitative analysis on evolution characteristics and driving factors of annual runoff and sediment transportation changes for Jialing River
.
Journal of Yangtze River Scientific Research Institute
25
(
3
),
23
27
.
Dooge
J. C. I.
,
Bruen
M.
&
Parmentier
B.
1999
A simple model for estimating the sensitivity of runoff to long-term changes in precipitation without a change in vegetation
.
Advances in Water Resources
23
(
2
),
153
163
.
doi:10.1016/s0309-1708(99)00019-6
.
Fang
Z.
&
Hui-Ling
F.
1998
Prediction of impacts of Changzhou Water Conservancy Project on waterbird in the reservoir area
.
Chinese Biodiversity
6
(
1
),
42
48
.
Fathi
M. M.
,
Awadallah
A. G.
,
Abdelbaki
A. M.
&
Haggag
M.
2019
A new Budyko framework extension using time series SARIMAX model
.
Journal of Hydrology
570
,
827
838
.
doi:10.1016/j.jhydrol.2019.01.037
.
Fu
B.
1981
Calculation of soil evaporation
.
Chinese Journal of Atmospheric Science
5
(
1
),
23
31
.
Fu
G. B.
,
Charles
S. P.
&
Chiew
F. H. S.
2007
A two-parameter climate elasticity of streamflow index to assess climate change effects on annual streamflow
.
Water Resources Research
43
(
11
),
12
.
doi:10.1029/2007wr005890
.
Guo
S.
,
Guo
J.
,
Hou
Y.
,
Xiong
L.
&
Hong
X.
2015
Prediction of future runoff change based on Budyko hypothesis in Yangtze River basin
.
Advances in Water Science
26
(
2
),
151
160
.
Guo
W.
,
Xu
G. H.
,
Shao
J.
,
Bing
J. P.
,
Chen
X.
&
Iop
,
2018
Research on the Middle and Lower Reaches of the Yangtze River and Lake's Hydrological Alterations Based on RVA
. In:
Paper Presented at the 2nd International Workshop on Renewable Energy and Development (IWRED)
,
Guilin, Peoples R China
.
Guo
W.
,
Dou
G.
,
Wang
H.
&
Li
Y.
2021
Quantitative evaluation of the impact of precipitation and human activities on sediment regime in the middle and lower reaches of the Yangtze river in recent sixty years
.
Journal of Basic Science and Engineering
29
(
1
),
39
54
.
Guo-fu
J.
&
Xue-fu
H.
2008
Status of fish resources in the lower reaches of the Jialing rive
.
Freshwater Fisheries
38
(
2
),
3
7
.
Hayashi
S.
,
Murakami
S.
,
Xu
K. Q.
&
Watanabe
M.
2015
Simulation of the reduction of runoff and sediment load resulting from the Gain for Green Program in the Jialingjiang catchment, upper region of the Yangtze River, China
.
Journal of Environmental Management
149
,
126
137
.
doi:10.1016/j.jenvman.2014.10.004
.
Hu
Y.
,
Feng
J.
,
Wang
M.
,
Tian
F.
&
He
X.
2016
Influences of climate and land surface change on runoff and sediment in Jialing River Basin
.
Science of Soil and Water Conservation
14
(
4
),
75
83
.
Huang
Y. H.
,
Huang
B. B.
,
Qin
T. L.
,
Nie
H. J.
,
Wang
J. W.
,
Li
X.
&
Shen
Z. Q.
2019
Assessment of hydrological changes and their influence on the aquatic ecology over the last 58 Years in Ganjiang Basin, China
.
Sustainability
11
(
18
),
19
.
doi:10.3390/su11184882
.
Huntington
T. G.
2006
Evidence for intensification of the global water cycle: review and synthesis
.
Journal of Hydrology
319
(
1–4
),
83
95
.
doi:10.1016/j.jhydrol.2005.07.003
.
Kahya
E.
&
Kalaycı
S.
2004
Trend analysis of streamflow in Turkey
.
Journal of Hydrology
289
(
1–4
),
128
144
.
doi:10.1016/j.jhydrol.2003.11.006
.
Li
Y.
,
Fan
J.
&
Liao
Y.
2020
Variation characteristics of streamflow and sediment in the Jialing River Basin in the past 60 years,China
.
Mountain Research
38
(
3
),
339
348
.
Liu
Y. Y.
,
Zhang
X. N.
,
Xia
D. Z.
,
You
J. S.
,
Rong
Y. S.
&
Bakir
M.
2013
Impacts of land-use and climate changes on hydrologic processes in the Qingyi River Watershed, China
.
Journal of Hydrologic Engineering
18
(
11
),
1495
1512
.
doi:10.1061/(asce)he.1943-5584.0000485
.
Liu
J. L.
,
Chen
J.
,
Xu
J. J.
,
Lin
Y. R.
,
Yuan
Z.
&
Zhou
M. Y.
2019
Attribution of runoff variation in the headwaters of the Yangtze River Based on the Budyko Hypothesis
.
International Journal of Environmental Research and Public Health
16
(
14
),
15
.
doi:10.3390/ijerph16142506
.
Liu
Y.
,
Feng
X.
,
Pu
D.
,
Gu
H.
,
Tian
J.
,
Zhao
Z.
,
Huang
J.
,
Zhu
J.
&
Wang
Z.
2021
Characteristics and resource status of main commercial fish in the middle reaches of Jialing River
.
Chinese Journal of Applied and Environmental Biology
27
(
4
),
837
847
.
Lotfirad
M.
,
Adib
A.
,
Salehpoor
J.
,
Ashrafzadeh
A.
&
Kisi
O.
2021
Simulation of the impact of climate change on runoff and drought in an arid and semiarid basin (the Hablehroud, Iran)
.
Applied Water Science
11
,
10
.
doi:10.1007/s13201-021-01494-2
.
Ma
H. A.
,
Yang
D. W.
,
Tan
S. K.
,
Gao
B.
&
Hu
Q. F.
2010
Impact of climate variability and human activity on streamflow decrease in the Miyun Reservoir catchment
.
Journal of Hydrology
389
(
3–4
),
317
324
.
doi:10.1016/j.jhydrol.2010.06.010
.
Nakken
M.
1999
Wavelet analysis of rainfall–runoff variability isolating climatic from anthropogenic patterns
.
Journal of Environmental Modelling and Software
14
(
4
),
283
295
.
Ol'dekop
E. M.
1911
On evaporation from the surface of river basins
.
Transactions on Meteorological Observations
4
,
200
.
Richter
B. D.
,
Baumgartner
J. V.
,
Powell
J.
&
Braun
D. P.
1996
A method for assessing hydrologic alteration within ecosystems
.
Conservation Biology
10
(
4
),
1163
1174
.
doi:10.1046/j.1523-1739.1996.10041163.x
.
Richter
B. D.
,
Baumgartner
J. V.
,
Braun
D. P.
&
Powell
J.
1998
A spatial assessment of hydrologic alteration within a river network
.
Regulated Rivers-Research & Management
14
(
4
),
329
340
.
Richter
B. D.
,
Mathews
R.
&
Wigington
R.
2003
Ecologically sustainable water management: managing river flows for ecological integrity
.
Ecological Applications
13
(
1
),
206
224
.
doi:10.1890/1051-0761(2003)013[0206:Eswmmr]2.0.Co;2
.
Sankarasubramanian
A.
,
Vogel
R. M.
&
Limbrunner
J. F.
2001
Climate elasticity of streamflow in the United States
.
Water Resources Research
37
(
6
),
1771
1781
.
Schaake
J. C.
1990
From climate to flow
. In:
Climate Change and US Water Resources
(P. E. Waggoner, ed.).
John Wiley
,
New York
, pp.
177
206
.
Schreiber
P.
1904
Ber die beziehungen zwischen dem niederschlag und der wasserführung der flüsse in mitteleuropa
.
Zeitachrift fur Meteorologie
21
(
10
),
441
452
.
Wang
S. J.
,
Yan
Y. X.
,
Yan
M.
&
Zhao
X. K.
2012
Quantitative estimation of the impact of precipitation and human activities on runoff change of the Huangfuchuan River Basin
.
Journal of Geographical Sciences
22
(
5
),
906
918
.
doi:10.1007/s11442-012-0972-8
.
Wang
Y.
,
Wang
J.
,
Wu
M.
&
Wang
S.
2019
Impacts of the land use and climate changes on the hydrological Characteristics of Jialing River Basin
.
Research of Soil and Water Conservation
26
(
1
),
135
142
.
Wei
X.
,
Ye
Q.
&
Yutian
G.
2012
Changes of fish resources in upper Yangtze River and its protection
.
Yangtze River
43
(
1
),
67
71
.
Wei
R.
,
Liu
J.
,
Zhang
T.
,
Zeng
Q.
&
Dong
X.
2020
Attribution analysis of runoff variation in the upper-middle reaches of Yalong River
.
Resources and Environment in the Yangtze Basin
29
(
7
),
1643
1652
.
Wu
X. L.
,
Xiang
X. H.
,
Chen
X.
,
Zhang
X.
&
Hua
W. J.
2018
Effects of cascade reservoir dams on the streamflow and sediment transport in the Wujiang River basin of the Yangtze River, China
.
Inland Waters
8
(
2
),
216
228
.
doi:10.1080/20442041.2018.1457850
.
Xin
Z.
,
Li
Y.
,
Zhang
L.
,
Ding
W.
,
Ye
L.
,
Wu
J.
&
Zhang
C.
2019
Quantifying the relative contribution of climate and human impacts on seasonal streamflow
.
Journal of Hydrology
574
,
936
945
.
doi:10.1016/j.jhydrol.2019.04.095
.
Xu
X. Y.
,
Yang
D. W.
,
Yang
H. B.
&
Lei
H. M.
2014
Attribution analysis based on the Budyko hypothesis for detecting the dominant cause of runoff decline in Haihe basin
.
Journal of Hydrology
510
,
530
540
.
doi:10.1016/j.jhydrol.2013.12.052
.
Yang
H. B.
&
Yang
D. W.
2011
Derivation of climate elasticity of runoff to assess the effects of climate change on annual runoff
.
Water Resources Research
47
,
12
.
doi:10.1029/2010wr009287
.
Yang
D.
,
Zhang
S.
&
Xu
X.
2015
Attribution analysis for runoff decline in Yellow River Basin during past fifty years based on Budyko hypothesis
.
Scientia Sinica Technologica
45
(
10
),
1024
1034
.
Yang
M. D.
,
Li
X. D.
,
Huang
J.
,
Ding
S. Y.
,
Cui
G. Y.
,
Liu
C. Q.
,
Li
Q. K.
,
Lv
H.
&
Yi
Y. B.
2020
Damming effects on river sulfur cycle in karst area: A case study of the Wujiang cascade reservoirs
.
Agriculture Ecosystems & Environment
294
,
11
.
doi:10.1016/j.agee.2020.106857.
Yu
Z.
,
Yong-bo
C.
&
Zhong-jie
L.
2014
Utilization and protection status of fish resources in Jialing River
.
Tianjin Agricultural Sciences
20
(
2
),
60
62
.
87
.
Zhang
L.
,
Dawes
W. R.
&
Walker
G. R.
2001
Response of mean annual evapotranspiration to vegetation changes at catchment scale
.
Water Resources Research
37
(
3
),
701
708
.
Zhang
X.
,
Kelin
W.
,
Wei
Z.
,
Hongsong
C.
&
Xunyang
H.
2009
The quantitative assessment of eco-environment vulnerability in karst regions of Northwest Guangx
.
Acta Ecologica Sinica
29
(
2
),
749
757
.
Zhou
Y. J.
,
Li
D. F.
,
Lu
J. Y.
,
Yao
S. M.
,
Yan
X.
,
Jin
Z. W.
,
Liu
L.
&
Lu
X. X.
2020
Distinguishing the multiple controls on the decreased sediment flux in the Jialing River basin of the Yangtze River, Southwestern China
.
Catena
193
,
11
.
doi:10.1016/j.catena.2020.104593.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (CC BY-NC-ND 4.0), which permits copying and redistribution for non-commercial purposes with no derivatives, provided the original work is properly cited (http://creativecommons.org/licenses/by-nc-nd/4.0/).