نبذة مختصرة : Actual Evapotranspiration (ET) has a primary role in hydrological modelling, but the determination of its values is affected by various sources of uncertainties. Furthermore, estimation of ET using energy-based methods (e.g., METRIC) leads to different results with various acceptable initial and boundary conditions. The objective of the current research is to consider the uncertainty effects of the ET as an interval-based input variable in water balance modelling. The goal is achieved by feeding the uncertainty of the calculated ET values into the Interval-Based Water Balance (IBWB) model developed in terms of gray value and model. For this purpose, the comprehensive monthly water balance model (including surface and groundwater modules) has been revised to a new interval-based form. Moreover, the METRIC model has been used 20 times in each month of the computational period to calculate the ET patterns with different hot/cold pixels to provide monthly ensemble ET values. It should be considered that Metric model is one of the most well-known models among other models calculating ET and researches on this method has been continued. For a comprehensive assessment, the selected water balance model was calibrated with ensemble means of the computed ET with its classic type. The study area (Ghorveh-Dehgolan basin) is a mountain sub-basin within the Sefidrood watershed, with three alluvial aquifers in Northern Iran. This area is one of the most complicated sub-basins in Iran. the connection of surface, subsurface and groundwater, could cause lots of complication which should be considered for simulating a hydrological system. Not only has the change in paradigm from deterministic hydrological structure to interval-based hydrologic structure improved the statistical metrics of the model responses, but also it decreased the uncertainty level tied with the simulated streamflow and groundwater levels.
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