Analysis of River Tributaries’ Streamflow Contribution Using WEAP Model: A Case of the Ngwerere and Kanakatampa Tributaries to the Chongwe River in Zambia

Ngwerere and Kanakatampa Streams are the main tributaries of the Chongwe River. The Ngwerere stream originates from the city of Lusaka and meanders through Lusaka City and Chongwe Town for an approximate distance of 41 km before joining into the upper part of Chongwe River. The Kanakatampa Stream is a tributary of the Chongwe River. It meanders from the Kanakatampa Area for approximately 52 km before discharging into the middle of the upper part of the Chongwe River. The Chongwe River Catchment which is a sub-catchment of the Zambezi Basin drew the attention of researchers and policymakers when the Chongwe River started drying up in the dry seasons causing a water crisis particularly in the downstream regions of the middle catchment. Therefore, it is important from the water resources management perspective, to assess the contribution of tributaries into the flows of the Chongwe River. Ngwerere and Kanakatampa streams are socially, economi-cally, and environmentally important streams for the city of Lusaka and sur-rounding area. This study, therefore, concentrated on evaluating the flow contribution of the two streams to the correlation coefficient (CC), Coefficient of determination (R 2 ), Nash-Sutcliffe Coefficient of Efficiency (NSE), and Percent bias (PBIAS). The model performance results achieved were PBIAS of 1.24%, CC = 0.81, R 2 = 0.66 and NSE = 0.62 during the calibration period and a positive PBIAS of 2.94%, CC = 0.81, R 2 = 0.67 and NSE = 0.62 during the validation period. The median of the flows (Q 50 ) was obtained from the historical flow duration curves (FDCs) generated in averaged intervals of 10-year from 1970 to 2019. The results showed that on average, the Ngwerere and Kanakatampa Streams contribute 52.8% and 29.6% respectively, to the flow of the Chongwe River in the upper and middle Catchment. The results also showed that the contribution of the Ngwerere and Kanakatampa Streams to the Chongwe River discharge has been reducing historically at a rate of 0.65% per decade and 1.35% per decade respectively over a period of 50 years (1970-2019). Suggestions for sustainable management of the tributaries such as the Ngwerere and Kanakatampa Streams were provided in this study.


Introduction
Water is an essential resource that is necessary for life to exist. Freshwater is needed for farming, industrial, domestic, hydropower, recreational, and environmental activities [1]. Lack of access to freshwater is one of the main hindrances to health and socio-economic development in various communities. It is necessary to apply an integrated approach for the effective management of water resources, which considers the environmental, ecological processes, and human activities in the catchment. This explains the management of the multiple values of water and reflects the impacts of decisions across the environment, politics, science, tradition, engineering, economics, culture, and tradition. Water resources issues are widely discussed throughout the world. Addressing these issues requires information on the main factors that determine the hydrological changes and their related aspects of local water resources. Assessing water resources is a complex task and many factors need to be considered. Information on the spatial and temporal distribution of water resources is of vital significance to inform water management strategies and policies [2]. With the ever-increasing demand for water, there is a simultaneous growing need for a comprehensive understanding of the hydrology of river catchments [3] [4]. Tributaries often play a very vital role in the chemical properties, species diversity, productivity, and streamflow of rivers. The understanding of the tributaries' contribution to the river basins is vital for the management of water resources. The authors in [5] evaluated the contribution of tributaries in the Mekong river basin in South-East Asia and stated the significance of each tributary to the flows of the Journal of Water Resource and Protection Mekong River including highlighting the factor of damming. The authors in [6] also analyzed the effect seven tributaries on the water quality of the Spring River in the United States of America (USA) and stated that the tributaries contributed 3.5% to 66.7% of the chemicals in Spring River. Bren [7] examined the contribution of the river Murray tributary to the flooding of the Barmar River Forest in Australia and stated that the removal of the Murray tributary would lead to a 55% decrease in the forest flooding. Others have reported the streamflow contributions of the tributaries of the Tigris river in Western Asia [8]. It is therefore clear that tributaries have a huge impact on the waterways of the river catchments.
In Zambia, river catchments serve as institutional entities that relate to the management of water resources in a specific area. Zambia has six main river catchments namely, Zambezi, Kafue, Luangwa, Chambeshi, Luapula, and Tan The authors in [11], modelled the hydrological water balance of Chongwe River Catchment using the Water Evaluation and Planning (WEAP) tool and Figure 1. Location of Ngwerere and Kanakatampa Streams in the Chongwe river catchment (Modified after [11] [12] also investigated the impact of land use/land cover change (LULC) on the hydrological components in Chongwe River Catchment and reported that the pattern of LULC change between the years 1984 and 2017 affected the hydrology of the Chongwe River Catchment. Sedimentation due to soil erosion is also one of the most important problems in Chongwe River Catchment that directly affect the flow and performance of reservoirs to the reduction of water storage leading to reduced lifespan of small dams [13]. A study conducted by [13] on sedimentation and its effects on selected small dams in the east of Lusaka City indicated that the storage capacity of small dams is decreasing due to sedimentation.
When the downstream region of the middle part of Chongwe River dries up, one of its main tributaries; the Ngwerere Stream in the upstream region is reported to have flows during such times making it a unique tributary [10]. Furthermore, [11] [12] reported that the Ngwerere stream together with Kanaka-

Study Area
The Chongwe River Catchment (shown in Figure 1) largely covers the Chongwe district of Lusaka province in Zambia. The catchment also covers the districts of Lusaka, Chibombo, Kafue, and a small fraction of the Luangwa district [10]. It is a sub-catchment of the Zambezi Catchment and covers a total area of 5150 km 2 .
The Chongwe River has four main tributaries namely, Ngwerere, Kanakatampa, ing to the Koppen-Geiger Classification, while weather conditions are accurately described as tropical continental highland climate [14]. The Zambian Meteorological Department (ZMD), indicate that the mean annual rainfall of Chongwe varies between 750 mm and 930 mm, the mean annual temperature is approximately 20.7˚C with the coldest months being June and July with an average temperature of 16˚C while the maximum monthly temperatures occur in October with a mean temperature of 24˚C [14].
In terms of economic activities, commercial agriculture is predominant in the upper part of the Chongwe Catchment while wildlife tourism is practiced in the lower eastern part of the catchment in the Lower Zambezi National Park [10] [15]. According to Nick [16], small-scale farming is also commonly practiced in Chongwe covering an area of approximately 300 km 2 of the agricultural land. The agricultural activities are predominant along the Ngwerere Stream [10]. These farm areas mainly supply the city of Lusaka with fresh vegetables.

WEAP Model Data Inputs
The Water Evaluation and Planning (WEAP) tool, developed and supported by the Stockholm Environment Institute (SEI), is a microcomputer tool for integrated water resource planning. It provides a comprehensive, flexible, and user-friendly framework for water and environment policy analysis. The WEAP model is used to imitate the hydrological relations amongst the soils, atmosphere, and runoff of a river catchment. Data inputs required by WEAP to perform these functions include Climatic data, Land use data, soil-related parameters, wastewater (WW) discharge from wastewater treatment plants (WWTPs) and river abstraction data. The climatic data were precipitation, air temperature, average air relative humidity (RH), wind speed, and cloudiness fraction. These were obtained from ZMD and SASSCAL WeatherNet stations ( Figure 1) for a period from 1970 to 2019 and whose averaged monthly values are shown in Tables 1-3, show the WW discharge and surface water abstraction data used as input in WEAP respectively.
The Land use data used in this study were collected from the European Space Agency Climate Change Initiative Land Cover (ESA-CCI-LC). Under this data source, Land use is divided into seven categories. Figure 2 shows the Land use in the base year 1970 used in the WEAP. Land use and Soil related parameters associated with the Chongwe River Catchment were selected as calibration parameters.

WEAP Model Calibration
The WEAP model was calibrated and validated using the PEST auto-calibration tool available within the WEAP tool. Five calibration parameters were selected to determine the upper bounds, lower bounds and optimal values which were obtained after the successful running of the PEST tool according to the framework shown in Figure 3. Table 4 Table 6.

WEAP Model Calibration and Validation Results
Assessing the calibration and validation model results in terms of performance measures shown in Table 5 The missing data were interpolated using WEAP during the data input process. Interpolation could be one of the sources of overestimation. Furthermore, the overestimation could be due to the PEST auto-calibration software embedded in WEAP since it uses a single objective function in the calibration process. Bao et al. [18] suggested the usage of other software that use multi-objective functions such as genetic algorithm II (NSGA-II) to improve future streamflow results. This algorithm is currently not available in the WEAP embedded PEST auto-calibration software.

Contributions of the Ngwerere and Kanakatampa Streams to the Flows of Chongwe River
As shown in Table 4, the Ngwerere Stream contributed 54.5%, 53.2%, 52.3%, 52.1%, and 51.1% in the consecutive 10-year periods of 1970-1979, 1980-1989, 1990-1999, 2000-2009 and 2010-2019, respectively. The average contribution over these 50 years was found to be 52.8%. Therefore, in general terms, the Ngwerere Stream provides more than half of the Chongwe River flows into the upper and middle parts of the Chongwe Catchment. According to [10] and Journal of Water Resource and Protection b. An approximation has been used to compute the p-value.
visual inspection, there is a small continuous flow of the Chongwe River in the upper and middle regions of the Catchment in dry seasons and this is due to the continuous flow of wastewater discharged into the Ngwerere Stream from the seven (7) wastewater treatment plants (WWTPs) in the city of Lusaka. This could explain the reason as to why the Chongwe River does not dry up in these regions during the dry seasons until the water is impounded by downstream commercial and small-scale farmers in the upper and middle part of Chongwe River Catchment. The Kanakatampa stream is also of significant importance to the flows of Chongwe river as it contributes an estimated 30% to the flows of the River in the middle part of the catchment. Trend analysis of the historical contribution of both the Ngwerere and the Kanakatampa streams to the flows of the Chongwe River ( Figure 6) showed that the contribution of the two streams had been reducing at an average rate of 0.65% and 1.35% per 10-year period respectively. The Mann Kendal test performed on during the trend analysis showed that these decreasing trends were significant as the calculated p-values were less than alpha (0.050). The significant decreasing rates could be attributed to the following factors: 1) The increase in irrigated area around Ngwerere Stream: Tena et al. [12] showed that the irrigated area in Chongwe Catchment is increasing at a rate of 1.70 km 2 /annum. Therefore, more water is continuously being withdrawn by the farmers along the Ngwerere stream, thereby reducing the flows into the Chongwe River.
2) Reduced efficiency of WWTWs in Lusaka: According to [19], the two conventional WWTWs in Lusaka were in poor conditions and were no longer operating at their optimum design discharge. Furthermore, the remaining five non-conventional stabilization ponds were not being disludged since the time of their construction thereby resulting in excess sludge accumulation which consequently reduced their volumetric capacity and efficiency [19]. These factors subsequently resulted in the reduction of treated wastewater discharged into the Ngwerere Stream.
3) Decreasing rainfall trend: The historical rainfall trend line of Chongwe catchment shows a decreasing rate. This decreasing rate has also been reported by [10] and [12]. Streamflow responds largely to rainfall patterns both in terms  [20]. Tena et al. [12] reported that the built-up area in Chongwe has been increasing at a rate of 6.97 km 2 per annum. Therefore, baseflow and consequently streamflow contribution of the Ngwerere stream is expected to continue decreasing with the ever-growing urbanization in the cities of Chongwe and Lusaka.

Conclusions
This study presented a simplified process of assessing the streamflow contribution of the Ngwerere Stream to the streamflow of the Chongwe River as part of the hydrological study of the water-stressed Chongwe River Catchment in Zambia. The study revealed that the Ngwerere streamflow generally contributes more than half of the flows of the Chongwe River considering the median flows (Q 50 ) obtained from the FDCs over the 50 years. The study also revealed that the contribution of the Ngwerere Stream to the flows of the Chongwe River has been historically reducing at a rate of 0.648% per 10 year period and this is expected to continue reducing with the ever-growing urbanization in the cities of Lusaka and Chongwe. The results of this study were found to be in line with the findings of other studies conducted in the Chongwe River Catchment by authors in [10] [11] [12] [19].

Management Options
The rainfall and observed streamflow data used in the study had missing data that were interpolated by WEAP. This could have been the reason for the general overestimation of the simulated streamflow by the WEAP model. It is suggested that in future studies, a detailed missing data interpolation process should be conducted before the WEAP data inputting process to improve the accuracy Journal of Water Resource and Protection of the results. In the same line, it is suggested that other sources of accurate climatic data in the Chongwe River Catchment should be investigated.
The results of this study show that the significant contribution of the Ngwerere Stream to the flows of the Chongwe River has been reducing historically.
This calls for catchment management practices that will maintain and improve the significant contribution of the Ngwerere stream to the flows of Chongwe