Streamflow Regime Variations following Ecological Management on the Loess Plateau, China

The continuous ecological management of the Loess Plateau is known throughout the world for two strategies: the integrated soil conservation project that began in the 1970s, and the " Grain for Green " project that began in the 1990s. Six sub-catchments nested in the Beiluo River basin were selected to investigate streamflow regime variations during the two project periods. The annual streamflow trends and change points were detected using a bootstrap-based Mann-Kendall test and Pettitt test. Annual streamflow (from the 1950s to 2011) exhibited significantly negative trends in five out of six catchments, varying from´0.15 tó0.30 mm/a. During the integrated soil conservation period, the annual streamflow was reduced due to high flow decreases (5% of time exceeded), whereas in the low flows (95%) it increased in all sub-catchments. During the " Grain for Green " period, the annual streamflow decreased due to daily streamflow reductions at four stations. In addition to high flow and low flow decreases at the Wuqi and Liujiahe stations during the " Grain for Green " period, it is significant that the low flows continuously increased. Compared with trends from the forestry area, which includes the Zhangcunyi and Huangling stations, incremental annual streamflow reductions were observed in other sub-catchments, which can be linked to ecological management. This result implies that streamflow can be moderated by appropriate management options, even in semiarid areas. It was concluded that a stable streamflow regime can be achieved in vegetated areas, and streamflow moderation is dependent on ecological management practices.


Introduction
Observations in most regions throughout the world show that hydrological cycles are being affected by climate change.Such changes disrupt the hydrology of drainage basins, altering both the balance between rainfall and evaporation and the runoff response of the area [1,2].Simultaneously, the impact of human activities on streamflow variations is spatially heterogeneous throughout the world [3,4].Thus, climate change and human activity related to streamflow effects must be investigated to avoid and minimize the economic costs associated with floods and droughts [3,5,6].Streamflow regime variations must be understood to achieve sustainable water resources management and develop decision-making strategies.
The Loess Plateau (640,000 km 2 ), located in the middle reaches of the Yellow River basin, generates some of the highest sediment yields observed on earth, with sediment yields exceeding Forests 2016, 7, 6 2 of 18 3 ˆ10 4 to 4 ˆ10 4 t¨km ´2¨a ´1 in some tributaries over recent decades [7][8][9].Such high soil erosion rates cause serious problems on-site, including soil nutrients and agricultural land losses, degrade the ecologic environment in the middle Yellow River basin and represent the primary cause of sedimentation in the lower Yellow River [10,11].It has been illustrated that the majority of the sediment yield can be attributed to land use intensification driven by the increasing population [9,12,13].National ecological management projects have been implemented to control the severe soil erosion.These projects include the integrated soil conservation and "Grain for Green" projects.
The integrated soil conservation project, which focuses on the integrated management of small watersheds, was implemented on the Loess Plateau during the 1970s [11,14,15].It comprises an extensive series of management actions, including engineering works (building terraces and sediment-trapping dams) and vegetation measures (changing land cover through replanting trees and improving pastures).This project was replaced by the "Grain for Green" project, which mainly consists of vegetation measures.It has been implemented on a massive scale since the 1990s via improving vegetation on slopes [14][15][16][17].The areas that have been treated by management actions in each sub-catchment are listed in Table 1.The processes that reduce streamflow and sediment yields are different.The engineered projects can block or delay the streamflow routing.By depositing the suspended sediment and steadily releasing water [7,20], the engineering projects can effectively slow runoff and attenuate high flow magnitudes and peaks [20][21][22].Generally, engineering projects significantly and immediately impact runoff.
However, sediment-trapping dams will slowly lose their effectiveness and eventually became abandoned due to sedimentation if proper maintenance is not Forests 2016, 7, 6 3 of 18 performed [20,22,23].Appropriate vegetation measures typically decrease surface runoff and increase in situ water infiltration, thereby decreasing the streamflow and sediment yields [24,25].In addition, vegetation can alter the water balance by increasing rainfall interception and evapotranspiration in a catchment [26][27][28].Vegetation measures typically take several years to become effective because vegetative succession is a slow process [28,29].The effect of appropriate vegetation measures becomes increasingly significant over time [10].Accordingly, streamflow regime processes and time periods may vary between engineering and vegetation projects.
Numerous studies have analyzed middle Yellow River basin streamflow variations in the context of ecological management.These analyses determined that various management actions have reduced the streamflow in the tributaries, which effectively decreased sediment yields [4,6,28,30,31].Moreover, these studies also noted that results varied between basins, which may be due to differences in the percentage of an area treated by management actions, vegetation cover, landforms, and other factors.When assessing streamflow variations, it is necessary to consider both climate variability and human activities.Although climate change, such as precipitation variations, have been relatively insignificant on the Loess Plateau [32], climate variability has partly caused streamflow reduction [4,6,30,33,34].As shown in Table 1, the treated area significantly increased during the 1990s.The transition from the integrated soil conservation project to the "Grain for Green" project represents an intensified process of ecological management process.Previous studies mainly investigated pre-and post-project streamflow changes.However, it is unclear how streamflow regimes concurrently varied during the implementation of these two ecological management projects.The effects of the two projects on streamflow regime changes have been well documented, which in turn indicate if the management actions are appropriate.Accordingly, streamflow regime investigations can help to optimize ecological management.
The aim of this paper is to investigate how the streamflow regime changed during the implementation of the two ecological management strategies.Six sub-catchments from the basin-Beiluo River basin were selected as the study area.We analyzed annual streamflow trends and variations during the two ecological management periods.

Study Site
The Beiluo River drains an area of 26,905 km 2 and is 680 km long.It is a tributary of the Wei River and a secondary tributary of the Yellow River (Figure 1).The wind-deposited loess, which developed during the Quaternary Period, covers the study area with a thickness of 50-200 m.However, a portion of the sub-catchment above Wuqi is semiarid.Otherwise, the basin is mainly semi-humid, with a mean annual PET of 1690.1 mm, precipitation of 534.3 mm and runoff depth of 32.5 mm from 1958 to 2011 (Figure 2 and Table 2).The basin is one of the major coarse sediment source areas of the Yellow River.The mean annual streamflow and sediment yield of the river are 8.65 ˆ10 8 m 3 and 8.65 ˆ10 7 t, respectively.Approximately 76.2% of the annual precipitation occurs during the wet season (between May and September), and 92.6% of the total sediment is transported by the top 5% of the daily sediment load .The mean annual streamflow and sediment yield above the Liujiahe station account for 26.8% and 91.1% of the total basin yield, respectively, with the area accounting for 27.2% of the entire basin [35].The streamflow below Liujiahe and Zhangcunyi and above Zhuangtou accounts for 61.9% of the entire basin, and accounts for 52.2% of the area [35].This indicates that the streamflow and sediment source areas are non-uniformly distributed in the basin, which is common in the Yellow River basin.Accordingly, the Beiluo River basin is a representative basin of the Yellow River.Extreme precipitation events occasionally occur in the area, but they significantly impact the fragile Loess Plateau ecosystem.For instance, a 1000-year precipitation event was observed in Wuqi on 30 August 1994, when the six-hour precipitation reached 214 mm.A daily sediment concentration of 1060 kg¨m ´3 induced by the event was measured on 31 August 1994 at the Wuqi station.The streamflow/sediment yield was 2.41/25.6 times the mean annual streamflow/sediment load from 2002 to 2011.In addition, and the sediment load was equivalent to 9.6% of the total sediment yields from 1963 to 2011.
Both the integrated soil conservation project and "Grain for Green" project have been implemented on a massive scale in the basin.Generally, management actions such as afforestation on slopes have been implemented based on natural vegetation zones, while the elevations shown in Figure 1 were not seriously considered.Table 1 lists the basin area variations as a result of soil conservation measures, including terracing, afforestation, pasture re-establishment, and the sediment trapping dams.In addition to the soil conservation measures, a large amount of farmland has been abandoned and hillsides have been closed to eliminate grazing.The Zhangcunyi and Huangling basins drain into the only natural secondary forest on the Loess Plateau.They represent sub-catchments with few ecological management actions and minimal human activities.

Database
Streamflow data for six stations (Table 2) were obtained from the Water Resources Committee of the Yellow River Conservancy Commission.Annual streamflow data ware calculated from the daily data.The daily precipitation and Pan Evaporation (PET) data were observed in meteorological stations and obtained from the State Meteorology Bureau of China (http://cdc.nmic.cn/home.do).The annual precipitation and PET data were calculated based on the daily data.As shown in Figure 1, data from 20 meteorological stations were used to interpolate the annual precipitation and PET data using the kriging data interpolation technique in ArcGIS 9.3 [36].The annual data from 1994 (Wuqi and Liujiahe stations) were eliminated from the trend analysis to avoid the influence of extreme precipitation events.

Trends and Change Point Analysis
The Mann-Kendall (MK) rank correlation coefficient [37,38] is commonly used to assess the significance of trends in hydro-meteorological time series and was implemented in this study.The Mann-Kendall test statistic (S) is given by where sgnpxq= and n is the data set record length; x j and x k are the sequential data values.When S is positive, a positive trend is present, and vice versa.If no serial correlation is observed in the data, existing formulas can be used to assess the significance of the trend using standard Z score methods.However, the existence of a serial correlation alters the variance of MK statistic estimate [39,40].Therefore, we have adopted the bootstrap-based procedure proposed by Yue and Pilon [41] to remove the serial correlation effect.The significance of S is assessed based on the bootstrap-based procedure MK test (BS-MK), which can be derived by randomly bootstrapping the sample data X.A bootstrapped sample, denoted by X * , {x 1 * , x 2 * , ..., x n * }, is obtained by n random samples times with replacements, with an equal probability of 1/n from the observed sample x 1 , x 2 , ..., x n .By bootstrapping X M times, M independent bootstrap samples X *1 , X *2 , ..., X *M can be obtained, each with sample size n.The S * for each of the bootstrapped samples is then estimated using Equation (1).By arranging {S 1 * , S 2 * , ..., S n * } in ascending order, the bootstrap empirical cumulative distribution of the slope can be obtained.The p value of S is estimated as: where m s is the rank corresponding to the largest value when S * ď S.
The nonparametric median-based linear model method proposed by Sen [42] was used to fit trend slopes (β) to the data: where 1 < k < j < n. β is the median of all possible pair combinations in the data set.The nonparametric method developed by Pettitt [43] was applied to detect the change point using the Mann-Whitney statistic U t,N .The U t,N is used to verify if two samples x 1 ,..., x t and x t +1 ,..., x N are from the same population.The test statistic U t,N is given by where sgn(θ The test statistic counts the number of times a member of the first sample exceeds a member of the second sample.The null hypothesis of Pettitt's test is the absence of a changing point.The statistic K(t) and the associated probabilities used in the significance testing are given as where k n is numerical value for K(t) (K + or K ´) and N is the observed sample.The trends were determined by applying the BS-MK and Sen tests to the annual and daily series of streamflow series.Incremental percentiles on an annual basis were used to obtain data series [44].The observed data from each year were sorted in descending order.Then, data from each year within the same exceedance percentile were selected for a daily percentile series.The obtained daily series were sorted by year.The daily series were normalized before applying the BS-MK test and Sen's slope estimation to compare the rates of change of series in various percentiles via: i " pX i ´Xmin q{pX max ´Xmin q ¨100 (7)

Temporal Trends in Annual Streamflow, Precipitation, and PET
The Mann-Kendall trend test identified negative annual streamflow trends at five out of six stations, with the rate varying from ´0.15 to ´0.30 mm¨a ´1.Streamflow changes at the Wuqi, Jiaokou, and Zhuangtou stations exhibited negative trends at a statistically significant level of 0.01 (Table 3).The streamflow decrease at the Zhangcunyi station was significant (p < 0.05), whereas the decrease at the Huangling station was insignificant.The rate of streamflow reduction varied among stations.However, the streamflow change rate (Table 3) divided by the mean annual streamflow (Table 2) in the forestry area (Zhangcunyi and Huangling stations) is lower than other stations.The annual precipitation and PET trends were detected to understand the nature of streamflow changes.As shown in Table 3, significantly negetive annual precipitation trends were identified in three sub-catchments (Zhangcunyi, Jiaokou, and Zhuangtou).No significant annual PET trends were identified in any sub-catchment.

Precipitation, PET, and Streamflow Variation over Time
The water balance in a catchment involves precipitation, evapotranspiration, and streamflow.The streamflow stablity depends on a stable climate system.To fully understand the nature of streamflow changes, it is necessary to determine precipitation regime variations.The means and standard deviations of annual streamflow, precipitation, and PET from each station in three periods were analyzed.Per Table 4, the t-tests and F tests showed that the mean and the standard deviation of the annual precipitation exhibited insignificant changes in all sub-catchments.The annual PET results suggest that the mean annual PET decreased during PII in four sub-catchments.However, the mean annual PET in PIII was identified to be indifferent from PI.
By contrast, both the mean and the standard deviation of the annual streamflow significantly decreased over the three periods.Moreover, the coefficient of variation (CV) of annual streamflow exhibited a reduction at all stations (Table 4), which was consistent with the expected ecological management effect.A reduced CV indicates that streamflow became less variable, while an increased CV indicates that the proportional reduction in the mean is lower than the reduction in the standard deviation.
Annual streamflow values in all sub-catchments have continuously decreased in recent decades, as shown in Tables 4 and 5. Compared to the streamflow in the forestry area (Huangling and Zhangcunyi stations), incremental annual streamflow reductions were observed at the other four stations.These differences are related to minimal ecological management in the forestry area versus intensive ecological management actions in other catchments (Table 1).In addition, the vegetation in the forestry area helps to stabilize the streamflow, making it less sensitive to climate variability and ecological management.In addition, ecological management area increases (Table 1 and Figure 2) and precipitation decreases (Table 3) led to higher streamflow reductions during PIII.The Pettitt's test at the Wuqi station is shown in Figure 3.No change points for annual precipitation and PET were identified in Wuqi sub-catchment.The annual streamflow curve indicates that the ecological management effects that occurred during the two study periods are well documented in the annual streamflow variation.The change point, e.g., the maximum of the curve, was detected in 2002.Moreover, the integrated soil conservation resulted in a relative maximum in 1979 (Figure 3), which was also determined to be statistically significant.The annual streamflow at Wuqi was divided into three periods, including the baseline period (PI), integrated soil conservation period (PII), and "Grain for Green" period (PIII).The same division process was applied to data from the other stations, such as Zhangcunyi in Figure 3d.In addition, the most likely points-in-time at Huangling station were also selected for comparison.Note: Different capital letters ("A," "B," and "C") indicate significantly different mean annual streamflow values over three periods at p < 0.05, while small letters ("a," "b," and "c") represent standard deviations.

10/18
curve, was detected in 2002.Moreover, the integrated soil conservation resulted in a relative maximum in 1979 (Figure 3), which was also determined to be statistically significant.The annual streamflow at Wuqi was divided into three periods, including the baseline period (PI), integrated soil conservation period (PII), and "Grain for Green" period (PIII).The same division process was applied to data from the other stations, such as Zhangcunyi in Figure 3d.In addition, the most likely points-in-time at Huangling station were also selected for comparison.

Daily Streamflow Regime and Changes
Daily streamflow series were obtained to compare trends in various magnitudes streamflow.These series were normalized using Equation ( 7) before trend detection.The trends and statistical significance levels were determined using the BS-MK and Sen tests, as shown in Figure 4.For the Wuqi basin (Figure 4a), the high extreme flow series trends (e.g., the annual maximum flow series) are lower than the median flow series.This indicates that high extreme flows, which are induced by extreme precipitation events, are more difficult to effectively moderate.As shown in Figure 4a,b, the daily series trends for the majority of percentiles in Wuqi are higher than those in Zhangcunyi.As noted in Section 2, the forestry area is less influenced by ecological management, implying that larger streamflow variations occurred in response to more intensive ecological management.The gray strip in Figure 4 represents the daily streamflow variation over the past six decades.The dynamic daily streamflow range in Wuqi is an order of magnitude larger than that in Zhangcunyi (Figure 4a,b), which is similar in area and landform, but located in the forestry area.Moreover, the dynamic daily streamflow range in Zhangcunyi is equivalent to that in the entire basin (Zhuangtou) (Figure 4b,c), implying that a much more stable daily streamflow can be achieved in highly vegetated areas.
Flow duration curves help to put the daily streamflow variation magnitudes into perspective, as shown in Figure 5.The relative streamflow change is calculated by (Q after ´Qbefore )/Q before .Given the mixed nature of both climate variability and human activities, the streamflow variations shown in the flow duration curves likely reflect combined effects.As shown in Figure 5, the relative change curves indicate that daily streamflow sharply decreased at three stations for percentiles <5% (time exceedance) during PII.Relative streamflow changes in the percentile interval from 5% to 70% were generally stable with values between ´15% and 15%.However, the relative change curves sharply increased for the >75% percentile.As shown in Table 5 and Figure 5, the streamflow decreased during PIII for all percentiles at four stations.In addition to high and median flow decreases, the low flows continuously increased in Wuqi and Liujiahe stations in PIII.Overall, as shown in Figure 5 and Table 5, high flow (5%) decreased in both PII and PIII; median flow (50%) slightly increased in PII and then slightly decreased in PIII in all sub-catchments.Low flow (95%) highly increased in PII, and then decreased in PIII in four sub-catchments.
12/18 gray strip in Figure 4 represents the daily streamflow variation over the past six decades.The dynamic daily streamflow range in Wuqi is an order of magnitude larger than that in Zhangcunyi (Figure 4a,b), which is similar in area and landform, but located in the forestry area.Moreover, the dynamic daily streamflow range in Zhangcunyi is equivalent to that in the entire basin (Zhuangtou) (Figure 4b,c), implying that a much more stable daily streamflow can be achieved in highly vegetated areas.13/18 increased for the >75% percentile.As shown in Table 5 and Figure 5, the streamflow decreased during PIII for all percentiles at four stations.In addition to high and median flow decreases, the low flows continuously increased in Wuqi and Liujiahe stations in PIII.Overall, as shown in Figure 5 and Table 5, high flow (5%) decreased in both PII and PIII; median flow (50%) slightly increased in PII and then slightly decreased in PIII in all sub-catchments.Low flow (95%) highly increased in PII, and then decreased in PIII in four sub-catchments.Note that low flow increased at the Wuqi and Liujiahe stations during the two ecological management periods (Figure 5a and Table 5).This increase is likely due to continuous ecological management.The vegetation in the sub-catchments above the two stations is dominated by grass and shrubs.Wuqi County (3791.5 km 2 , Figure 1) converted 1578.6 km 2 of cultivated land to grassland/forestry in 1999, representing the largest cultivated land conversion in China.In addition, Wuqi County exhibits a high revegetation rate [19].The continuously increasing low flow implies that streamflow regime could be moderated via the appropriate management options, even in semiarid areas.
Moreover, we detected the daily precipitation regime in Wuqi and Luochuan stations using erosive rainfall (ě10 mm) data.Generally, daily erosive rainfall is defined as rainfall that can generate surface runoff and produce erosion [45].The Gumbel and Weibull distribution parameters of erosive rainfall data during PI were estimated using L-moments [46].A Goodness-of-fit test (Kolmogorov-Smirnov test) showed that the daily precipitation data in three periods provided an excellent fit to the parameters of the two distribution functions (p > 0.95).This indicates that the precipitation regime (probability distribution) has not changed, which implies that the water yield capacity of rainfall event has not changed.We have also collected the data for mean daily non-erosive precipitation (<10 mm/day) and the corresponding wet days in each year.The t-test showed that the mean non-erosive precipitation was statistically insignificant over three periods, whereas a significant decrease of wet days between PI and PIII was identified.This result indicates that the increase of low flow was not owing to precipitation variation.

Processes of Streamflow Reduction between Ecological Management Periods
In this study, the streamflow decreased as the ecological management area increased (Table 1 and Figure 2).This result is supported by Wang and Hejazi [3], who noted that the effect of regional human activities is somewhat heterogeneous owing to different extent.Zhu et al. [47] investigated the effect of community functional composition on soil and water conservation in a revegetation area on the Loess Plateau.They indicated that the management strategies led to large areas of mono-specific vegetation, and streamflow had not been substantially decreased by revegetation during the soil conservation period.Sediment trapping dams across eroding gullies and smaller tributaries have been used to control streamflow and sediment yields on the Loess Plateau [7].These dams impede the flow of water and induce sediment deposition [7,11,14].During the "Grain for Green" period, the community functional diversity was incorporated into the ecological management design, and streamflow and soil were efficiently conserved [47].Annual and daily streamflow variations suggest that two corresponding regulation phases exist during the two ecological management periods:

Phase 1: by Impeding Floods
Independent of annual precipitation regime variations, the daily streamflow significantly decreased in multiple percentiles (Figure 4).Revegetation was not dense enough and the revegetated area (Table 1) was not large enough to decrease the streamflow during PII.As noted by Zhu et al. [47], the streamflow was not substantially moderated by mono-specific revegetation during this period.However, engineering projects prohibited or delayed the streamflow during PII [7], thus decreasing high flows.Engineering projects also increased the median and low flow (Table 5 and Figure 5) by depositing the suspended sediments and releasing water [20][21][22].Therefore, the streamflow was effectively moderated by sediment-trapping dams.As a result, the annual streamflow slightly decreased during PII.

Phase 2: by Reducing Streamflow Effectively
Sediment-trapping dams lose their effectiveness over time if proper maintenance is not performed [20,22,23].It was reported that more than 100,000 sediment-trapping dams were built on the Loess Plateau in the late 1960s and 1970s [47].However, a survey in the northern Shaanxi province (shown in Figure 1b) noted that more than 80% of the sediment-trapping dams were destroyed by intensive storms in the early 1980s [14,20].Thus, the effects of engineering projects were significantly diminished during PIII.However, the implementation of the "Grain for Green" project increased the ecological management area by >30% of the entire basin in 2006 (Table 1).Moreover, the community functional diversity increased over 30 years of vegetation succession and significantly reduced streamflow and sediment yields [47].Vegetation management effects become significant over time [10].The surface runoff decreased as in situ water infiltration increased [24,25].Moreover, increasing the rainfall interception and evapotranspiration led to streamflow decreases.As a result, incremental streamflow reductions were observed in PIII compared to PII (Table 5).Thus, the streamflow was efficiently reduced by revegetation during PIII.This result is supported by Zeng and Ma [48] and Cai [29], who illustrated that artificial vegetation will only reduce streamflow reduction if the accumulated vegetation coverage exceeded a critical value of approximately 20%.

Can Streamflow Be Successfully Moderated?
Compared with that the Wuqi and Liujiahe stations, the hydrological regime in the secondary forestry area (Zhangcunyi and Huangling stations) exhibits a daily streamflow regime that is more stable (Figure 4) and less in soil erosion (below the soil-loss tolerance).This scenario represents the theoretical basis for ecological management on the Loess Plateau, i.e., to produce an ideal streamflow regime by reducing high flows and increasing low flows, thus reducing the potential for flood hazards and properly allocating water resources [14,17,18].The incremental annual streamflow reductions in the four non-forest sub-catchments imply that streamflow reduction magnitudes would be lower if no ecological management had been implemented on the vast Loess Plateau in the past decades.
A comparison between Zhangcunyi (forestry area) and Wuqi high flow variations indicates that high flow can be moderated.Streamflow at the Wuqi and Liujiahe stations were moderated by decreasing high flows and increasing low flows, indicating that streamflow can be moderated by appropriate ecological management actions.Streamflow can be moderated into the future via the continuous optimization of ecological management, such as incorporating community functional diversity into ecological management design.

Conclusions
The continuous ecological management of the Loess Plateau has involved two strategies: the integrated soil conservation project that began in the 1970s, and the "Grain for Green" project that began in the 1990s.This study investigated the streamflow variations in response to the two ecological management projects by selecting six sub-catchments nested in a representative basin, the Beiluo River basin.Data from the 1950s to 2011 were analyzed, and statistically significant negative annual streamflow trends were identified in five out of six sub-catchments over the past 60 years, with the rates varying from ´0.15 to ´0.30 mm¨a ´1.
The streamflow regime variations differ between the two ecological management periods.The annual streamflow was reduced by decreasing high flows, whereas low flow increases were observed in all sub-catchments during PII.Conversely, the annual streamflow decreased due to daily streamflow decreases at four stations during PIII.In addition to high and median flow decreases, the low flows continuously increased in Wuqi and Liujiahe stations in PIII.Compared with streamflow changes in the forestry area, incremental annual streamflow reductions were observed in other sub-catchments, which are mainly due to ecological management.These results imply that the streamflow regime can be moderated using appropriate management actions, even in semiarid areas.Moreover, streamflow in the forestry area is more stable, indicating that a stable streamflow regime can be achieved in areas with well-preserved vegetation.In conclusion, ecological management strategies can successfully achieve streamflow moderations.

Figure 1 .
Figure 1.(a) The location of the Beiluo River basin and the Loess Plateau in China; (b) map of the Loess Plateau in the middle reaches of the Yellow River basin; (c) map of the Beiluo River basin.

Figure 2 .
Figure 2. Annual precipitation, runoff, potential evapotranspiration (PET), and the area affected by soil conservation measures in the Beiluo River basin (Upper Zhuangtou station).

Figure 1 .
Figure 1.(a) The location of the Beiluo River basin and the Loess Plateau in China; (b) map of the Loess Plateau in the middle reaches of the Yellow River basin; (c) map of the Beiluo River basin.

Figure 1 .
Figure 1.(a) The location of the Beiluo River basin and the Loess Plateau in China; (b) map of the Loess Plateau in the middle reaches of the Yellow River basin; (c) map of the Beiluo River basin.

Figure 2 .
Figure 2. Annual precipitation, runoff, potential evapotranspiration (PET), and the area affected by soil conservation measures in the Beiluo River basin (Upper Zhuangtou station).

Figure 2 .
Figure 2. Annual precipitation, runoff, potential evapotranspiration (PET), and the area affected by soil conservation measures in the Beiluo River basin (Upper Zhuangtou station).

Figure 3 .
Figure 3. Pettitt's statistical significance, which was used for detecting change points for (a) annual PET; (b) annual precipitation; and (c) annual streamflow at Wuqi station; and (d) annual streamflow at Zhangcunyi station.

Figure 3 .
Figure 3. Pettitt's statistical significance, which was used for detecting change points for (a) annual PET; (b) annual precipitation; and (c) annual streamflow at Wuqi station; and (d) annual streamflow at Zhangcunyi station.

Figure 4 .
Figure 4. Trends, statistically significant levels, and ranges of daily streamflow series over the past six decades at the (a) Wuqi; (b) Zhangcunyi; and (c) Zhuangtou stations.The solid line represents the means of all daily streamflow series, the upper boundary of the gray strip represents the maximum of all daily series, and the lower boundary represents the minimum of all daily series.

Figure 4 .
Figure 4. Trends, statistically significant levels, and ranges of daily streamflow series over the past six decades at the (a) Wuqi; (b) Zhangcunyi; and (c) Zhuangtou stations.The solid line represents the means of all daily streamflow series, the upper boundary of the gray strip represents the maximum of all daily series, and the lower boundary represents the minimum of all daily series.

Table 2 .
Characteristics and streamflow records for all sub-catchments.

Table 3 .
Summary of annual streamflow, precipitation, and PET trends in each sub-catchment from the 1950s to 2011.
Note: ** and * indicate significance levels of 0.01 and 0.05; ns indicates that the significance level exceeds 0.05.

Table 4 .
Summary of the annual streamflow, precipitation, and PET statistics.

Table 5 .
Mean annual runoff variation (∆Q t˝t ) and relative high (Q 5 ), median (Q 50 ), and low flow (Q 95 ) changes during for the PII and PIII.