The Influence of Rainfall and Land Use/Land Cover Changes on River Discharge Variability in the Mountainous Catchment of the Bagmati River

: Changes in rainfall and land use/land cover (LULC) can influence river discharge from a catchment in many ways. Homogenized river discharge data from three stations and average rainfall records, interpolated from 13 stations, were examined for long-term trends and decadal variations (1970–2017) in the headwater, upper and middle catchments of the Bagmati River. LULC changes over five decades were quantified using multitemporal Landsat images. Mann–Kendall tests on annual time series showed a significant decrease in river discharge (0.61% per year) from the entire Bagmati catchment, although the decrease in rainfall was statistically insignificant. However, declines in river discharge and rainfall were both significant in upper catchment. Decadal departures from long-term means support these trend results. Over tenfold growth in urban area and a decrease in agricultural land were observed in the upper catchment, while forest cover slightly increased in the entire catchment between 1975 and 2015. Correlation analysis showed a strong association between surface runoff, estimated using the curve number method, observed river discharge and rainfall in the upper catchment, while the relationship was weaker in the headwater catchment. These results were also supported by multiple regression analysis, suggesting that human activities together with climate change have contributed to river discharge changes in the Bagmati catchment.


Introduction
Atmospheric and ocean temperatures are rising at an unprecedented rate and the rise is projected to continue during the 21st century [1]. This warming can alter rainfall patterns, including the frequency of extreme precipitation/drought events, evaporation and total runoff patterns, and hence, the availability of water resources [1,2]. Despite general agreement on increasing temperature, changes in rainfall and runoff can vary widely from one region to another [3][4][5]. For example, the Nile River showed a decreasing discharge in the 20th century [6], while high summer precipitation and rainstorms are linked to increased summer discharge and floods in the lower Yangtze River basin [7]. Nakaegawa et al. [4] projected the Amazon River to have increased discharge during the rainy season while it may decrease in dry season. In the Ganges basin (of which the Bagmati catchment forms part), some studies have predicted increasing monsoon discharge [8,9], while others suggested a likely decrease of annual and monsoon discharge [10,11].
In addition to climate change, land use/land cover (LULC) changes can increase the uncertainty of hydrological variability within a catchment as a result of changes in surface runoff, natural recharge processes and evapotranspiration [12][13][14]. Based on a review of 94 catchments across the The aims of this study were to: (a) investigate the long-term trend in average rainfall and river discharge in the Bagmati catchment and its sub-catchments; (b) analyze decadal variability of rainfall, LULC and river discharge; and (c) examine the association between river discharge, regional average rainfall and LULC changes.

Study Area
Originating from mountain springs north of Kathmandu, the Bagmati River flows south through the Kathmandu valley, a mid to low elevation mountain region, and the Terai plain, to eventually converge with the Ganges River system. This study focuses on the 2823 km 2 area of middle and upper Bagmati River catchment in Central Nepal (Figure 1). The small area (15 km 2 ) upstream of Sundarijal hydrometric station located at 1600 m elevation is described in this study as the headwater catchment. This area is within the Shivapuri-Nagarjun national park and has been protected since 1976 [27] with human activities being limited. The 605 km 2 catchment, upstream of Khokana station (1250 m) mostly comprising the urbanized area of the Kathmandu valley is referred to as the upper catchment [43,49,50]. The 2215 km 2 catchment downstream of Khokana yet upstream of Pandheradovan station (180 m), mostly representing lower/mid mountain region, is referred to as the middle catchment [43,49]. Thus, the three sub-catchments of Bagmati River, delineated based on the three available river gauge locations, represent contrasting geographical settings within the catchment. The study area covers the Kathmandu, Lalitpur and Bhaktapur districts, and parts of the Kavre, Sindhuli, Makwanpur, Rautahat and Sarlahi districts. Based on Shuttle Radar Topography Mission (SRTM) data [51], the elevation of the Kathmandu valley ranges between 1170 and 1400 m whilst the surrounding mountains extend up to 2780 m. Elevations in the lower parts of the middle catchment range between 140 and 600 m while higher parts of Kavre, Sindhuli, upper Makwanpur and southern Lalitpur range from 1500 to 2800 m ( Figure 1). The climate in the southern parts of the middle Bagmati catchment that includes lower hills and valleys (below 1000 m) is sub-tropical. The mid-elevation mountain ranges and valleys (1000-2000 m) have a warm temperate climate whilst the higher mountain parts experience a cold temperate climate [52][53][54]. On average, minimum temperatures within the catchment range from 0-12 °C in winter and 9-24 °C in summer, whilst maximum temperatures can be between 9 and 27 °C in winter and 21 and 39 °C in summer [31].
Precipitation, mostly in the form of rainfall, is the main source of water input to the catchment and no rivers are snow fed. The Indian summer monsoon delivers more than 80% of annual rainfall between June and September [48,55]. Westerly systems originating from the Mediterranean region bring some winter and spring precipitation between November and March [54]. River discharge in the region is related to rainfall pattern, peaking in July-August and reaching a low between January and April.
The lower parts of the Kathmandu valley are generally covered by agriculture and urban land uses. Based on district level census data [56], the permanent population of Bagmati catchment was 2.7 million in 2011. However, at least 30% more people are estimated to live in the Kathmandu valley temporarily [30,57] and the total population was estimated to be over 4 million [58]. Outside the Kathmandu valley, agricultural activities not only take place on valley bottoms and lowlands, but also on the mountain slopes that would otherwise be covered by forest and shrubs.

Remote Sensing Data
Landsat images between 1975 and 2015 were used to map historical LULC changes at a 10-year interval. Most of the Landsat images available from May to August have high cloud cover. And since agricultural area can be best separated from other vegetated areas when there are less crops, images from the dry season (November to April) were chosen. Due to the unavailability of suitable images around 1985, an image from 1988 was used. Table 1 shows the list of Landsat images used in the study.  [59,60] and have been used appropriately to map long-term LULC changes (e.g., [61,[62][63][64]). Since the LULC is only classified into broad categories, the use of these images is considered appropriate for this study. SRTM V4 elevation data [51] were used to delineate the river catchment boundaries.

Hydro-Meteorological Gauge Records
Due to limitations of resources, meteorological stations are not well distributed in the mountainous areas of Nepal [52]. Nevertheless, in-situ records that are available remain valuable, since alternative sources such as remote sensing data may not have long historical coverage and their coarse spatial resolution may not be appropriate for studying small catchments. Daily precipitation records of 13 rain gauge stations and daily average discharges of three river gauge stations (obtained from the Department of Hydrology and Meteorology Nepal) are, therefore, the primary sources of data for this study. Since most of the stations have records from the early 1970s, this study focuses on variation in rainfall and river discharge between 1970 and 2017.

Land Use/Land Cover (LULC) Mapping
Landsat images were classified using maximum likelihood rule based supervised classification using the ERDAS Imagine (2016) image processing software. Data collected during field visits in 2016 and 2017 and information available from higher resolution images such as from Google Earth Pro was also used to assist the classification process.
LULC classifications for the study were kept to broad categories that were mappable consistently using historical Landsat images. Areas showing the characteristics of a forest, including tree cover and no other primary use [37], were mapped as forest. Apart from obvious shrub lands, areas which were not evidently distinguishable as agriculture or forest and showing mixed characteristics are also classified as shrubs. The shrub area in the region can, in fact, be considered as depleted forest or mixed vegetated land adjacent to agricultural areas [37]. Urban areas were classified as either built-up or mix of settlements that included some vegetated area, such as agriculture or trees. Smaller towns and human settlements that are generally a mixture of agriculture, sparse trees and some houses could not be distinguished consistently with Landsat images, so were not classified separately as urban areas. The results were filtered by merging classified areas that were smaller than three (five) pixels of image area for 1975  with surrounding LULC classes. The accuracy of the LULC classifications were tested using 400 stratified random sites that were categorized based on Landsat and other higher resolution historical images available in Google Earth Pro. The accuracy statistics were calculated by comparing correct (actual) LULC and the classified LULC results at the random sites. The Kappa coefficients for the LULC classifications were between 0.89 and 0.91 and the overall accuracy of the results for each mapping period was over 85%.

Processing of Hydro-Meteorological Time Series Data
The daily precipitation and river discharge time series were tested for homogeneity using the RHtestsV4 package, in the R environment [65]. This was done to detect any "non-natural" variations introduced by gradual or abrupt changes in data collection and processing components [66,67]. Inhomogeneous daily time series data were homogenized by applying mean-based adjustments with respect to change-points detection results.
Data gaps in the daily time series were filled with 5-year daily averages [68] based on the daily records for two earlier and two later years for the same station. Annual rainfall time series were then created from the gap filled homogeneous daily series through arithmetic averaging. Regional average rainfall series for sub-catchments and the entire catchment were created based on inverse distance weighting (IDW) results of annual time series data. In general, geostatistical interpolation methods such as kriging are expected to provide a better estimation of rainfall distribution [69][70][71], while deterministic methods such as IDW, can also provide appropriate results [72,73]. Preliminary comparison of kriging and IDW results showed that IDW produced consistently appropriate interpolation of available data for this study. In the absence of dense measurement stations, the results will have some uncertainty [74] but the IDW technique has also been used in similar studies [71,75,76]. And since the focus of this study was on analyzing long-term variability using observations from the same set of locations, interpolation of rainfall using IDW was considered reasonable for this study.

Mann-Kendall Trend Test and Sen's Slope
The Mann-Kendall (MK) test is a widely used non-parametric test to determine the existence of a significant monotonic trend in various climatic variables. Such methods use ranks of data rather than actual values, which reduces the impact of outliers in the time series [77]. Furthermore, the MK test is also suitable for data such as rainfall series that are not normally distributed [77]. In this study, regional annual average rainfall, estimated surface runoff and annual average river discharge time series were tested with MK test to understand the presence of significant long-term trends. Statistically significant, monotonic trends in 95% confidence intervals were considered significant in this study.
The Sen's slope estimator is based on a linear model to estimate the rate of change and is a commonly used technique in analyzing hydro-meteorological data [78][79][80]. In this study, Sen's slope and its percentage in relation to the intercept value were used to represent the magnitude of change in rainfall, estimated surface runoff and river discharge.

Decadal Departure from Long-Term Mean
Apart from a long-term monotonic trend, climatic and hydrological time series can also have important long-term periodic variations. Decadal variation in regional average rainfall and river discharge were analyzed in relation to the long-term mean [81] for the period of 1970-2017. The departure of decadal average series were standardized by calculating standard scores. Positive (negative) departures from the mean that were larger than the order of one standard deviation were considered in this study to be substantially higher (lower).

Association of River Discharge with Rainfall and LULC Changes
The Natural Resources Conservation Service's curve number (CN) method [82] was used to estimate surface runoff from the sub-catchments, for the purpose of analyzing the impact of LULC and daily rainfall changes. This method calculates direct surface runoff based on precipitation, maximum soil retention and initial abstractions. Maximum soil retention can be estimated based on curve number that is determined by LULC and hydrological soil group [82]. Current LULC results and hydrological soil groups based on Food and Agriculture Organization (FAO) soil data [83] were used to identify soil curve numbers, as adopted by Mishra et al. [84]. Initial abstractions can be approximated in relation to maximum soil retention estimated as above. An initial abstraction ratio of 0.05 (i.e., initial abstraction = 0.05 × maximum soil retention), as suggested by Woodward et al. [82] and Hawkins et al. [85], was used in this study. LULC coverages of 1975, 1988, 1995, 2005 and 2015 were used to estimate LULC proportion for other years during 1970-2017 assuming linear changes in LULC. Weighted runoff for sub-catchments were then estimated using percentages of the area with specific LULC-hydrologic soil groups. Apart from changes in rainfall and LULC, river discharge depends on many other factors, such as soil moisture, evaporation, evapotranspiration, etc. However, we focused on the impact of rainfall and LULC changes only, and more comprehensive modelling was not within the scope of the study.
Pearson's correlation coefficients were calculated to check the association between the rainfall, estimated surface runoff and observed river discharge series. Cross correlations were also analyzed to see any lagged association. Percentages of annual rainfall, estimated surface runoff and observed river discharge series with respect to their long-term means were also compared to visualize the associations between them. Multiple regression analysis was performed to quantify the influence of major LULC changes and rainfall (predictors) on river discharge. For the purpose of comparing the relative contributions of the predictor variables, the importance for each of the variables were calculated as the ratios of change in R 2 (when the variable of interest is not considered) to the overall R 2 (when all predictor variables are considered) [86,87]. Figure 2 shows LULC of the Bagmati catchment from 1975 to 2015. In general, mountainous parts of the catchment are covered by forest, shrubs, agriculture or a mixture of trees and agriculture, while the valleys are generally cultivated or used for settlement/urban purposes. The land use types representing mixed human settlements and urban areas both increased consistently during the study period  at the expense of agricultural lands. However, most of these urban expansions were concentrated in Kathmandu valley. Since most of the rivers and other water bodies in the catchment were too small to be consistently classified with Landsat images and their changes were negligible, no further analysis was done to compare changes in water surfaces. On average, shrubs and non-agricultural open fields were found to cover only 1.6% and 2.2% of the total area, respectively. Since the changes in these land cover were also not significant, further analysis was not performed.

Land Use/Land Cover (LULC) Change
Based on the most recent (2015) results, forest covers 62% of the entire catchment, while around 30% of the land is used for agriculture (Table 2). In the upper catchment forest and agricultural land cover 36% and 38% of the area, respectively, while 24% of the land is mixed urban or built-up (Table  3). In the middle catchment, forest covers 69% of the area and 28% of the land is used for agriculture (Table 4).   Analysis of LULC change in the upper and middle Bagmati catchment shows some contrasting results. In the upper catchment (Table 3), built-up area has expanded consistently, especially after 1988 from the core of Kathmandu, Lalitpur and Bhaktapur city towards the outer parts of the valley. It increased to 35 km 2 in 1995, and it has increased by around 60% every decade since then. Mixed urban areas have also increased significantly in the upper catchment. The decrease of 134 km 2 in agricultural area and 127 km 2 increase in combined area of mixed urban and built-up areas between 1975 and 2015 shows that most of the LULC changes related to urbanization are concentrated within Kathmandu valley, the upper part of the Bagmati catchment.
In the middle catchment (Table 4), the forest area increased by 4.4% (64 km 2 ) between 1975 and 2015, while the increase was only 2.6% in the upper catchment. Apart from slightly higher coverage in 1988, there was no significant change in the percentage of agricultural area in the middle catchment.
The overall difference  in forest cover in the headwater area upstream of Sundarijal station, was less than 2% and the fluctuation remained within 2.25% of the average (Table 5). However, considering the actual area of the changes in relation to accuracy of LULC classification, these changes were considered to not be of a significant scale. Note: values within parenthesis represent percentages of the LULC area in relation to the total area. Areas of mixed urban and built-up land were negligible (e.g., <1%), so are not listed separately.

Rainfall Variability
Time series of regional annual average rainfall derived from IDW interpolation, and their longterm trends in the Bagmati catchment and its sub-catchments, are shown in Figure 3. The results show that annual average rainfall in the Bagmati catchment was decreasing by 0.20% per year. Variability in the average rainfall of the middle catchment is very similar to that of the entire catchment and the MK test showed that the long-term trends in both cases were not statistically significant. Rainfall in the headwater catchment was also decreasing non-significantly by 0.19% per year, while a higher decrease of 0.36% per year in the upper catchment was statistically significant, at 95%. Decadal analysis of rainfall departures from the long-term mean (Figure 4) shows that regional average rainfall in the catchment was higher to substantially higher than the long-term mean during the 1970s. On the other hand, rainfall after 2010 was substantially lower in all parts of the catchment except the headwater catchment. Patterns of decadal average rainfall in middle and entire catchment were very similar, with minor departures from long-term mean and the departure after 2010 being substantial in both cases. Decadal departure of rainfall in headwater catchment highly fluctuated, while the departure in the upper catchment showed generally decreasing rainfall during 1970-2017.

River Discharge Variability
Average annual river discharge from the entire Bagmati catchment and its sub-catchments together with their long-term trends are shown in Figure 5. Based on the 1970-2017 records at Karmaiya/Pandheradovan station that represent the river discharge from the entire Bagmati catchment, annual river discharge was decreasing significantly by 0.61% per year. River discharge measured at Sundarijal also showed a decreasing trend of 0.32% per year in headwater catchment, but the trend was statistically non-significant. Observations at Khokana station during 1992-2016 show that river discharge from the upper catchment was decreasing significantly by 2.05% per year.  Figure 6 shows decadal departures of river discharge at Sundarijal, Khokana and Pandheradovan station in relation to their long-term means. The discharge from the entire catchment in the 1970s was substantially higher (by 16%), while the decadal discharge after 2000 was substantially lower by around 15% compared to the long-term mean. It is noticeable that river discharge from upper catchment has decreased consistently between 1992 and 2017 with substantially higher discharge in the 1990s; discharge after 2010 was substantially lower. The departures of discharge from the headwater and the entire catchment are comparable, considering higher discharge before 2000 and lower discharge after 2000.

Influence of Rainfall and LULC Change on River Discharge
The association of (observed) river discharge with rainfall and estimated surface runoff, derived from rainfall and LULC changes using the CN method, are shown in Figure 7. The values represent annual distribution of rainfall, estimated surface runoff and the observed river discharge as percentages of their long-term means in the headwater, upper and entire Bagmati catchments. Patterns of estimated surface runoff and annual discharge from upper and entire catchments are highly influenced by the amount of rainfall even though the ratio of fluctuations were relatively different for some years. Estimated surface runoff in headwater catchment is also related to annual rainfall although the river discharge has a slightly different pattern.  Table 6 shows the correlation results of river discharge with rainfall and estimated surface runoff in sub-catchments of the Bagmati River. There is a statistically significant, positive correlation (r =  1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 Percentage of long-term mean Rainfall Estimated surface runoff River discharge c 0.58) between annual rainfall and discharge for the entire catchment. A statistically significant, strong, positive relationship (r = 0.79) exists between rainfall and river discharge in the upper catchment, while a statistically insignificant, weak relationship (r = 0.22) was found for headwater catchment. The association between estimated surface runoff and river discharge was also weak in the headwater catchment. On the other hand, river discharge from upper and entire catchment exhibited a statistically significant correlation with estimated surface runoff.  Table 7 shows the results of multiple regression analysis, highlighting the contributions of rainfall and major LULC changes to the river discharge. The direct influence of rainfall change is statistically significant in all sub-catchments. In the upper catchment, the inverse influences of change in agricultural and urban areas were significant on river discharge but the direct contribution of rainfall change appears to be the most significant. In headwater and the entire catchment, the influences of LULC changes are not statistically significant.  [86,87]. "Slope %" indicates percentage of regression coefficient in relation to intercept value.

Land Use/Land Cover Change
LULC results show that the forested area in the middle and entire Bagmati catchment increased by 4.1% between 1975 and 2005. However, overall forest coverage in Nepal decreased by 3.1% during 1975-2005 [88]. Shrubs/mixed land area in the catchment has not changed significantly, although DFRS data [37] suggest that the national coverage of shrub land, including deteriorated forest, doubled between 1986 and 1994. These dissimilarities highlight varying LULC changes in different parts of the country. Nevertheless, the increase in forest cover within the Bagmati catchment between 1988 and 2005 is consistent with FAO [23] findings, suggesting a 4% increase in forest cover of central Nepal during 1986-1994.
Current results further suggest that due to increasing human settlements, mixed urban land use takes place in agricultural areas of Kathmandu valley which eventually develops into built-up areas. Analysis showed a remarkable (513%) increase in combined area of mixed urban and built-up land use together with 38% decrease in agricultural area of upper catchment between 1988 and 2015. This is comparable with estimates of Ishtiaque et al. [40] showing a 412% increase in built-up area and 32% decrease in agricultural area within Kathmandu valley. However, the apparent differences could be related to differences in land use classification scheme and methods employed. Furthermore, our results are also similar to the 1978-2000 urban expansion of 450% estimated by Haack and Rafter [89]. The current estimate for 2015 is also comparable to the built-up area estimated by Kumar [90] within 2 km of Kathmandu metropolitan city. Population within the Bagmati catchment increased by almost 400% between 1971 and 2011 [56]. Furthermore, the urban population in Kathmandu valley, one of the fastest growing urban agglomerations in South Asia [91] has increased annually by 4% to 5.8% from 1970 to 2010 [92]. As pointed out by Pradhan [93], conversion of agricultural area to urban land in the upper catchment is consistent with the rapid population growth in Kathmandu valley.

Rainfall Variability
MK tests showed that the decrease in annual rainfall in the Bagmati catchment was not statistically significant; however, similar analysis of monthly rainfall suggests that June and July rainfall decreased significantly by 0.55% and 0.4% per year, respectively. Individual trends at 11 rainfall stations used in this study also suggested that most of them were receiving decreased rainfall with four of those stations (viz. Godavari, Pattharkot, Sindhuli Madi and Thankot) showing significantly decreasing trends [48]. However, significantly increasing rainfall at one of the stations (Makwanpur Gadhi) that represents a part of the middle catchment could also have moderated the negative change in the regional average for the entire catchment. Decadal departure patterns of the regional rainfall also support the trend results in all sub-catchments of the Bagmati River.
Current results for the period of 1970-2015 appear different to the findings of Shrestha and Sthapit [44], suggesting that average rainfall in the Bagmati catchment, including the lower Terai subcatchment, was increasing significantly during 1981-2008. Decadal departure from the long-term mean (cf. Figure 5) as well as further trend analysis for the shorter period of 1981-2008 does show non-significantly increasing rainfall in the Bagmati catchment. However, considering multi-decadal variation present in the regional rainfall, this increase does not seem to represent the long-term change in rainfall over the catchment.
In contrast to the decreasing trend noticed in this study, Babel et al. [43] and Dahal et al. [94] predicted increasing rainfall for the 2020s and 2030s relative to the rainfall of the 1980s. These differences could be partly due to lower than long-term rainfalls in the 1980s which were used as baselines in both of those studies and the lower than average rainfalls after 2010. However, results of this study showing higher rainfall decrease in the upper catchment are consistent with the prediction by Babel et al. [43] that the upper catchment is set to receive lower rainfall compared to the middle one.
Previous studies have indicated that rainfall patterns in Nepal are somewhat linked to El Niño Southern Oscillation and Indian Ocean Dipole [68,95,96], but relationships are not consistent [95]. Shrestha and Kostaschuk [57] also suggested that influence of ENSO phases on the streamflow within Nepal vary from one region to another. However, examining the influence of these coupled oceanatmosphere phenomenon on rainfall distribution is beyond the scope of this study.

River Discharge Variability
A decrease in annual river discharge from the Bagmati River in the 1970-2017 period was statistically significant. Trend analysis of all available data  for the Karmaiya/Pandheradovan station also confirmed that river discharge decreased significantly. Sharma and Shakya [28] also found that mean annual and monsoonal river discharge from the Bagmati catchment decreased significantly during the 1965-2000 period. Based on 1980-2009 records, Dhital et al. [45] found seasonal discharge of the Bagmati catchment decreasing in all seasons except pre-monsoon. Consistency of the current findings with the results based on different record periods confirms that river discharge from the catchment is truly decreasing in the long term. The analysis of decadal departure from long-term means showing substantially lower discharge after 2000 and higher discharge before 2000 also supports the long-term trend for the entire catchment.
Steadily decreasing decadal discharge from the upper catchment aligns well with trend result. Considering availability of records only from 1992, significantly decreasing discharge from the upper catchment is not directly comparable with the 1970-2017 results for the entire catchment. However, the most consistent and highest rate of rainfall decrease for 1970-2017 in the upper catchment and highest positive correlation between rainfall and river discharge indirectly suggest that the long-term rate of river discharge decrease would also be higher in the upper catchment compared to others.
Most of the river discharge, as recorded at Sundarijal station, especially during dry season, is diverted for hydropower and drinking water purposes. However, the long-term average of this discharge is less than 1% of the discharge at Pandheradovan, and the diversion started before the study period. Likewise, most of the discharge from the Kulekhani river catchment has been diverted to the Rapti basin for hydropower generation since 1982 [28,43]. This diverted discharge accounts for less than 3% of the annual discharge at the Pandheradovan station and is expected to remain unchanged in the future [43,94]. Further analysis by adding 3% discharge on observed discharge at Pandheradovan station from 1982 onwards showed that, this would not change the direction and/or significance of long-term trend results of this study. Hence, these diversion schemes were not considered in the analysis of temporal change in river discharge.
In contrast to the results reported here, Babel et al. [43] have predicted annual water availability for the 2020s in the Bagmati basin to increase by 1.04% and 6.29% relative to the 1980s under A2 and B2 scenarios respectively. Considering lower than long-term average rainfall (Section 4.3) and relatively lower discharge from the entire catchment in the 1980s, the increase for the 2020s may not be as high as they have estimated, if not actually a decrease instead, as suggested by the trend assessment of 1970-2017.

The Influences of Rainfall and LULC Changes on River Discharge
River discharge from the Bagmati catchment was shown to be significantly correlated with rainfall, even though the degree of association was different in the sub-catchments. Hannah et al. [35] also indicated that the relationship between precipitation and river discharge in the region varies from basin to basin depending on LULC.
Rainfall from the headwater catchment is decreasing non-significantly by 0.19% per year while river discharge is decreasing non-significantly by −0.29%. The MK test on estimated surface runoff in the headwater catchment showed a statistically non-significant decrease (−0.20%) which is very similar to the change in annual rainfall. The multiple regression results also suggested that the influence of LULC change in river discharge is negligible, and that influence of rainfall change is more important.
The Kathmandu valley area (downstream of Sundarijal and upstream of Khokana) is the most dynamic part of the Bagmati catchment. River discharge from the upper catchment during 1992-2017 has decreased by −2.05% per year even though the rate of rainfall decrease is only −0.83%. Despite an increase in urban area, which generally results in higher surface runoff [97,98], the MK test on 1992-2017 estimated that surface runoff for the upper catchment showed a significant decrease of −1.51%. Multiple regression analysis suggested that, compared to the influence of LULC changes, a decrease in rainfall is more influential on river discharge from the upper catchment. This finding is also supported by strong correlations between rainfall, river discharge and estimated surface runoff in the upper catchment.
In addition, part of the decrease in river discharge from the upper catchment may also be related to increased water demand. For example, many of the headwater streams in Kathmandu valley, especially during the dry season, are exploited for the purpose of drinking water. Further, the water table in the Kathmandu valley is reported to be lowering substantially due to low recharge and increased extraction of ground water driven by scarcity and low quality of surface water [29,50,57]. Some studies have also reported increasing temperatures in most parts of the catchment [45] which suggests higher rates of evaporation. Hence, urban expansion and pressure on water sources along with a rising temperature and decreasing rainfall seem to be related to the long-term decrease in river discharge from the upper catchment.
The rate of decrease for estimated surface runoff and river discharge are both higher than the rate of rainfall changes in the entire catchment. Apart from the urban growth in the upper catchment, the major LULC change in the middle catchment was an increase in forest cover by 4.4%. However, multiple regression results indicate that the influences of LULC changes on river discharge from the entire catchment are not significant and that changes in rainfall are the greatest contributing factor. Considering many tributaries in the middle catchment are unaffected by urban usage, decreasing rainfall along with increasing temperature [45] and higher evapotranspiration seemed to be influencing river discharge from the middle catchment. Therefore, river discharge decrease from Bagmati catchment can be attributed to decreasing rainfall, increasing temperature and differing influences of LULC in upper and middle catchments.
The correlation coefficient between annual rainfall in the headwater area of the Bagmati River and discharge at Sundarijal station was only 0.31. Further analysis of cross correlation (not shown here) suggested that annual rainfall does not have a lagged correlation with annual river discharge. However, cross correlation of monthly series showed a lagged correlation of one month between rainfall and discharge from headwater catchment. Considering high forest cover that reduces direct surface runoff, increases ground water retention and causes a higher density of natural springs, the lagged correlation in the headwater catchment is reasonable. On the other hand, no lagged correlation in either annual or monthly series suggests that immediate surface runoff of rainfall is highly influential on river discharge from the upper catchment, and secondly, that of the middle catchment. These results can be related to the combined proportion of urban and agricultural land in the upper and middle catchments.

Conclusions
Long-term changes in rainfall and river discharge of the Bagmati River catchment were analyzed with Mann-Kendall trend tests and decadal departures from the long-term mean using historical records between 1970 and 2017. Changes in LULC were also analyzed based on classification of Landsat images. Further, the impacts of rainfall and LULC changes on river discharge were examined using correlation and multiple regression analysis, and their relationship to surface runoff was estimated based on the curve number method.
River discharge from the Bagmati catchment is decreasing significantly even though decrease in rainfall was statistically non-significant. However, the decreasing trends of regional average rainfall and river discharge from the upper catchment are both significant and even depicted a higher rate of change compared to the entire catchment. Decadal departure of rainfall showed that the rainfall in all sub-catchments was generally higher than long-term average in the 1970s, while it was substantially lower after 2010 except in the headwater catchment. At the same time, river discharge from the headwater and entire catchment after 2000 was substantially lower, while discharge before 2000 was higher.
Most of the expansion in urban land use which occurred by gradual conversion of agricultural area to mixed urban area that further develops to built-up area is consistent with rapid population growth in the Kathmandu valley in the upper catchment, especially after 1988. In fact, the percentage of urban area in the upper catchment increased from 3.9 in 1988 to 23.8 in 2015. Another main LULC change in the Bagmati catchment was an over 4% increase in forest area with a higher rate in the middle catchment.
Multiple regression analysis showed that, despite a positive contribution from urban area increase, decreasing river discharge from upper catchment is largely dependent on changes in rainfall. Analysis of correlation in conjunction with LULC changes also suggested that river discharge is highly dependent on rainfall in urban area, and the correlation is weaker when the extent of human activities, especially urbanization, is limited. Changes in estimated surface runoff based on rainfall and LULC change also shows a higher rate of decrease in urban area. This is coupled with an increased use of water from headwater streams and groundwater in the upper catchment for use as drinking water. As a main conclusion, based on these findings, both regional climate change and local human activities seem to put increased pressure on water availability in the upper Bagmati catchment. In contrast, with no substantial urban growth, river discharges from the headwater and the entire catchments are decreasing at smaller rates compared to the upper catchment. This, together with results of multiple regression suggest that the headwater and middle catchments are mostly influenced by changes in climatic factors. These findings also point to the need for more detail hydrological modelling of river discharge in relation to topography, soil characteristics, climatic variables, LULC change and water extraction which would be beneficial for drawing more concrete conclusions.