The generation of hydropower is profoundly influenced by shifts in streamflow patterns induced by climate change. This research examines changes in streamflow and the potential surge in hydropower generation over a span of 35 years (2015–2050) at the Bhakra Dam site within the Upper Sutlej River basin. Employing a deep learning methodology, particularly the long short-term memory (LSTM) model, in conjunction with Coupled Model Intercomparison Project (CMIP) 6 multi-global climate model (GCM), facilitates a thorough analysis of these dynamics. Six out of 14 bias-corrected statistically downscaled datasets (0.25° × 0.25° grid resolution) from CMIP6 multi-GCM were selected based on entropy and combined compromise solution techniques. This innovative approach is utilized to assess streamflows and project potential increases in hydropower at the Bhakra Dam site under shared socioeconomic pathways (SSP) scenarios, specifically SSP245 and SSP585. The results indicate a maximum increase of approximately 15% and 17% in mean monthly streamflow under SSP245 and SSP585, respectively. Moreover, dependability flows calculated at Q50, Q75, and Q90 show respective rises of 13%, 16%, and 17% under SSP245 and 21%, 17%, and 18% under SSP585. The projected hydropower potential exhibits an increase of up to 15.9% and 17.3% under SSP245 and SSP585, respectively.

  • CMIP6 data and long short-term memory (LSTM) model were used for robust analysis.

  • Projections indicate notable increases in streamflow under shared socioeconomic pathway (SSP)245 and SSP585 scenarios.

  • Performance of the global climate model and LSTM model were thoroughly evaluated.

  • Implications for water resource management and hydropower development were identified.

  • Valuable insights were provided for decision-making processes and ensuring sustainability in water and energy systems.

The vulnerability of hydropower refers to its sensitivity and exposure to changing climatic conditions, which can subsequently affect its efficiency, reliability, and overall performance. Climate change is a globally acknowledged phenomenon with significant impacts on water resources worldwide. It induces shifts in precipitation patterns, glacier melt rates, and the timing of snowmelt in the Himalayas, profoundly affecting downstream river flows (Moors et al. 2009; Ali et al. 2018; Bolch et al. 2019). The rise in temperatures is anticipated to extensively influence rainfall patterns, leading to changes in intensity and volume and potentially altering hydrological cycles (Oki & Kanae 2006; Haddeland et al. 2014; Sarker 2022). Projections based on global climate models (GCMs) suggest a possible increase in the average annual global temperature by 2–5 °C by 2100, primarily due to the escalation of greenhouse gas (GHG) emissions (Herring 2012; Gao et al. 2017; Sarker 2022).

The Intergovernmental Panel on Climate Change (IPCC), in its Sixth Assessment Report, has projected an intensification of extreme climate events, underscoring the critical need to predict future streamflow variations (Singh et al. 2023). Mountainous regions, such as the Sutlej River basin, which depend heavily on snow and glacier-fed rivers, are especially susceptible to climate-change impacts (Sarker et al. 2019; Sarker 2021). The accelerated retreat of glaciers and altered runoff patterns threaten the availability and timing of water resources, posing significant challenges for agricultural irrigation, hydropower generation, and overall water security (Jeelani et al. 2012). To address the vulnerability of hydropower to climate change, it is essential to develop a comprehensive understanding of the hydrological processes that govern rainfall–runoff generation within a basin. This understanding can be achieved through the use of hydrological models, which simulate and predict basin responses to climatic inputs using mathematical equations and theoretical principles (Kirchner 2006; Sood & Smakhtin 2015; Singh et al. 2019). Lotfirad et al. (2023) evaluated CMIP6 GCM outputs for the Navrood Watershed, Iran, using bias correction and Bayesian model averaging to improve projection accuracy. Their findings indicate significant increases in Tmin, Tmax, and precipitation, leading to higher annual runoff under shared socioeconomic pathway (SSP) scenarios SSP245 and SSP585. This study highlights the importance of ensemble techniques in reducing climate projection uncertainties. In hydrological modeling, data-driven approaches have often demonstrated superior predictive accuracy across various applications (Shortridge et al. 2016; Adnan et al. 2020; Kabir et al. 2020; Herath et al. 2021; Singhal et al. 2024). Madhusudana Rao et al. (2020) highlighted the effectiveness of general circulation models over hypothetical scenarios for predicting climate-change impacts for the near future (2014–2040) under representative concentration pathway (RCP) 4.5 and RCP8.5 in the Subarnarekha River basin in eastern India.

However, the field has witnessed remarkable advancements in computational intelligence, particularly in machine-learning (ML) and deep-learning (DL) techniques (Adnan et al. 2020; Fu et al. 2020; Rahimzad et al. 2021; Ghobadi & Kang 2022). A notable example of this progress is seen in the study by Yang et al. (2019), where artificial neural networks, support vector regression (SVR), and random forests were employed to predict monthly streamflow in the Qingliu River basin, China, under varying environmental conditions. This study demonstrated that ML models consistently outperformed traditional process-based models in terms of predictive accuracy and adaptability. Shortridge et al. (2016) stated that there were lower streamflow prediction errors with ML models compared with physical models in Lake Tana and adjacent rivers in Ethiopia. Studies have integrated these models with GCM scenarios to project streamflow patterns under future scenarios. Das & Nanduri (2018) integrated relevance vector machine and support vector machine (SVM) models with the Coupled Model Intercomparison Project (CMIP) 5 GCMs to project monsoon streamflow within the Wainganga basin, India. Thapa et al. (2021) used a combination of long short-term memory (LSTM) models and CMIP5 GCM scenarios to assess streamflow patterns in the Langtang basin, situated in the central Himalaya region, and showed a significant projected increase in streamflow, primarily attributed to anticipated rises in precipitation.

However, applicability of these models for streamflow prediction in mountainous basins under future scenarios remains limited due to constraints associated with data availability (Xenarios et al. 2019; Adnan et al. 2020). To overcome the limitations of CMIP3 and CMIP5 GCMs in simulating extreme precipitation, CMIP6 GCM scenarios are suggested to offer a more realistic representation of future rainfall and temperature patterns (Gusain et al. 2020; Kim et al. 2020). Hence, it becomes crucial to investigate the efficacy of ML methodologies in forecasting streamflow within mountainous river basins, utilizing hydrometeorological data in conjunction with CMIP6 GCM scenarios as input.

The study of GCM evaluation and ranking contributes to enhancing the accuracy and reliability of climate predictions (Lotfirad et al. 2023). GCM output acts as a valuable dataset to address the challenges built up by climate change and its impacts on hydrological processes. These advancements enable us to practically plan for water resource management, ensuring resilience and adaptation in the face of an uncertain future (Xu et al. 2005). Properly evaluating GCMs using a range of statistical performance metrics, such as skill score (SS), correlation coefficient (CC), Nash–Sutcliffe efficiency (NSE), normalized root mean square deviation (NRMSD), coefficient of determination (R2), and absolute normalized mean biased deviation (ANMBD), is necessary to identify reliable models (Kheireldin et al. 2020; Shiru & Chung 2021). Weighting these metrics and employing distance measure techniques, such as the combined compromise solution (CoCoSo), ensures a comprehensive assessment of a GCM's performance and its suitability for climate impact assessments and future climate projections.

The Bhakra Dam and the Sutlej River basin have been subject to intensive study regarding climate–water interactions and hydrological responses to climate change. Ali et al. (2018) developed a hydrological model to assess streamflow sensitivity to climate change scenarios and identified potential shifts in the timing of the monsoon season using RCP2.6 and RCP8.5 in various reservoirs including the Bhakra Nangal reservoir. In the Bhakra Nangal reservoir, a 15.30% ± 20.16% increase in mean annual precipitation by the end of the 21st century and a subsequent increase in streamflow and development of hydropower potential were predicted. Gupta & Sharif (2021) evaluated CMIP5 GCMs for simulating climate over South Asia, which includes the Upper Sutlej River basin (USRB) and highlighted the significance of GCM performance in simulating the regional climate. Singh et al. (2015a) evaluated streamflow sensitivity to glacier mass balance in the Bhagirathi River basin, which is geographically close to the Sutlej River basin, indicating the potential impacts of glacier withdrawal on water availability in the region. Massive hydropower dams in the Mekong River basin impact ecology and biodiversity, particularly due to monsoon season shifts and glacier retreat. This study identifies critical nodes and harmful dams, emphasizing the need for accurate streamflow prediction to understand and mitigate these climate–water interaction effects on the MRB's ecological integrity (Gao et al. 2022). These previous studies have focused on specific aspects of climate–water interactions, such as monsoon season shifts and glacier retreat impacts, and emphasized the need for accurate streamflow prediction.

However, there is a research gap in understanding the integrated and cumulative effects of climate change on hydropower potential in the region using the latest CMIP6 multi-GCM. The current study has provided valuable insights that consider various climatic factors and their interconnected impacts on streamflow and water availability for hydropower potential. This paper aims to evaluate the performance of GCMs by considering atmospheric patterns from CMIP6 models in modeling rainfall, maximum temperature (Tmax), and minimum temperature (Tmin) in the context of climate change assessment for the study area. However, certain challenges, particularly concerning data assimilation, arise when working with coarse-resolution scenario data from GCMs, limiting their direct applicability in regional impact assessments (Hagen et al. 2021; Adib & Harun 2022). Consequently, to address these issues, this study employs the National Aeronautics and Space Administration (NASA) Earth Exchange Global Daily Downscaled Projections (NEX-GDDP-CMIP6) dataset. The dataset is generated using the Bias-Correction Spatial Disaggregation (BCSD) method, a statistical downscaling technique specifically designed to overcome the current limitations associated with global GCM outputs (Raghavan et al. 2018; Dross 2023; Mohammed et al. 2023). The NEX-GDDP-CMIP6 climate projection is downscaled at a spatial resolution of 0.25° × 0.25° (approximately 25 × 25 km2).

This study uses an innovative approach to examine how climate change affects hydropower generation by combining DL techniques with advanced climate models. Specifically, it employs the LSTM model integrated with the latest CMIP6 multi-GCM datasets at a high resolution of 0.25° × 0.25°, chosen using entropy and CoCoSo methods. This technique offers a detailed projection of streamflow changes and potential increases in hydropower generation at the Bhakra Dam site from 2015 to 2050. The research is conducted under two SSP scenarios, moderate (SSP245) and severe (SSP585) climate change, using the mean multimodel ensemble of CMIP6. This thorough analysis provides new insights into future hydropower potential in the USRB, adding valuable knowledge to water resource management under climate change conditions. The primary aim of this study is to identify an appropriate model using combinations of statistical performance metrics and to investigate how these metrics affect the ranking of each GCM. Six statistical performance indices, namely, NSE, CC, NRMSD, ANMBD, SS, and R2, are utilized to assess the performance of 14 CMIP6 multi-GCMs within the study area. Another objective of this research is to identify suitable GCMs to serve as references for hydroclimate impact studies in the USRB. The selection of appropriate GCMs is based on simulations from the 14 CMIP6 multi-GCMs.

The USRB is one of the main tributaries of the Indus River, which flows through Himachal Pradesh and drains snow, glaciers, and rain. The basin having an elevation difference ranging from 470 to 2239 m above mean sea level receives a glacier drain in the higher portion, and the lower region encounters significant rainfall (Singh & Jain 2002). The river has India's second tallest dam, the Bhakra Dam, with an installed capacity of 1,325 MW. The study area considered is the subcatchment of the USRB, India, with Bhakra gauging station as the outlet. Figure 1 shows the study area location map as a 30 m resolution DEM of the study area. The study region, with an area of 2,064 km2, lies between geographical limits of 30°45N–31°45N latitudes and 76°15E–77°15E longitudes. It comprises mostly forest (67.7%), followed by agriculture (13.7%), water (11.1%), and grassland (7.5%).
Figure 1

Study area location map.

Figure 1

Study area location map.

Close modal
Figure 2

Flow chart for choosing suitable model and ensemble.

Figure 2

Flow chart for choosing suitable model and ensemble.

Close modal

The average rainfall across the study area varies with a yearly range of 696–1,651 mm. Rainfall–runoff contributes largely to the lower part of the watershed (Gogineni & Chintalacheruvu 2024a, 2024b). The average annual highest and lowest temperatures in the area are 31 and 18 °C, respectively. The mean annual discharge (averaged throughout 1985–2014) of the river gauged at Bhakra was 885.6958 m3/s. There is a significant interdiurnal and monthly variation in the river discharge pattern. The minimum and maximum daily discharge recorded at Bhakra was 87.82 and 3,393.93 m3/s, respectively.

The power generation facilities at the Bhakra Dam station are distributed across two powerhouses, one on the right bank and the other on the left bank, each with five turbines or power units (Rao & Ramaseshan 1985). Five units, initially having a capacity of 120 MW each, were upgraded to 157 MW each, while the remaining five units with 90 MW each were upgraded to a capacity of 108 MW each. Hence, the installed power capacity of 1,050 MW was increased to 1,325 MW (Rao & Ramaseshan 1985; CEA 2019). The study area is experiencing challenges due to climate change and anthropogenic activities (Singh et al. 2015b; 2015c). This could change the streamflow in future and eventually affect hydropower production (Singh et al. 2014). In the current study, the future period (2015–2050) of hydropower generation is predicted for the Bhakra Dam site of the USRB under two GHG trajectories, SSP245 and SSP585, using a mean ensemble of selected models.

Figure 2 illustrates the methodology employed in this study for the selection of an appropriate individual model and ensemble model tailored to estimate the projected hydropower potential of the study area.

Daily data for 30 years (1985–2014) at the Bhakra Dam station is used to examine the statistical performance metrics of GCMs and to simulate streamflow through the ML model. Observed values of rainfall, Tmax, and Tmin are obtained from the Indian Meteorological Department (IMD); discharge data are obtained from the Central Water Commission (CWC), New Delhi, India; wind speed, solar radiation, and relative humidity data are extracted from the Climate Forecast System Reanalysis (CFSR) Global Weather Data (http://globalweather.tamu.edu/).

The most recent generation of climate models, known as CMIP6 GCMs, is provided by the NASA NEX-GDDP-CMIP6. The NEX-GDDP-CMIP6 dataset enhances accuracy through two key steps: statistical downscaling and bias correction. Statistical downscaling employs the BCSD method, which corrects biases in GCM outputs by aligning them with historical observations and spatially disaggregates data to a finer 0.25° × 0.25° grid. This ensures that local-scale projections maintain consistency with large-scale climate patterns. The quantile mapping (QM) technique is used for bias correction, where the cumulative distribution functions (CDFs) of modeled and observed variables are matched. This process adjusts the modeled data to correct systematic biases in mean, variance, and higher-order moments, ensuring that the corrected outputs statistically align with observed data. By combining BCSD for downscaling and QM for bias correction, the NEX-GDDP-CMIP6 dataset provides spatially detailed and statistically consistent climate projections, improving the reliability of future climate assessments (Wood et al. 2002, 2004; Maurer & Hidalgo 2008; Thrasher et al. 2012). These methods provide high-resolution climate data that are crucial for reliable impact assessments, such as the evaluation of streamflows and hydropower potential in this study. They are being employed to project streamflow for the near future, specifically the period from 2015 to 2050. The framework of CMIP6 multi-GCM is specifically designed to simulate future climate scenarios based on four GHG trajectories, known as the SSPs (SSP126, SSP245, SSP370, and SSP585). These scenarios aim to explore potential GHG emissions in the coming decades, taking into account various global socioeconomic changes that may occur by the year 2100 (Riahi et al. 2017; Karan et al. 2022). The NASA-NEX-GDDP dataset comprises climate predictions of finer scale from simulations developed by CMIP6 GCMs. NASA NEX-GDDP-CMIP6 was accessed on 3 June 2023 from https://registry.opendata.aws/nex-gddp-cmip6.

The dataset was obtained for 14 CMIP6 multi-GCMs (1985–2014) to examine their performance by simulating with observed data. Furthermore, selected GCM datasets were obtained to generate climate projections under the SSP245 and SSP585 scenarios (2015–2050). SSP245, characterized as a medium scenario, represents the typical trajectory for future GHG emissions, resulting in a radiative forcing of 4.5 W and m−2 by the year 2100. In contrast, SSP585 stands as an upper-limit scenario within the spectrum, projecting a radiative forcing of 8.5 Wm−2 by the year 2100 (O'Neill et al. 2016). These datasets are available at a daily time resolution and a horizontal spatial resolution of 0.25° × 0.25°.

The study area is covered by ten grids of downscaled CMIP6 multi-GCM data. Rainfall and temperature values at each grid were subsequently averaged across the catchment area using the Thiessen polygon method. This process generated daily rainfall data integrated at the catchment scale, facilitating the assessment of climate changes in comparison with the observed period from 1985 to 2014. In addition, a ranking process was conducted on the CMIP6 multi-GCM to identify the most suitable models for generating realistic future climate scenarios within the catchment area. These selected models will play a crucial role in projecting streamflow and hydropower potential.

The performances of GCMs were examined by simulating with observed data through the statistical performance metrics mentioned. The six parameters used are listed in Table 1 (SS, CC, NSE, R2, NRMSD, and ANMBD); to depict the relation between GCMs and observed datasets, statistical performance metrics were chosen based on the literature.

Table 1

Statistical performance metrics used for the study

S. no.Statistical performance metricsEquations
SS 
fo and fs are frequencies of the historical and simulated values, ci are class intervals,
z is the number of metrics, and x is the number of datasets 
CC 
So and Ss are standard deviations of observed and simulated values; 
NSE 
Qo and Qs are observed and simulated values of streamflow; and are mean observed and simulated values 
R2  
NRMSD Oi and Si are the observed and simulated values 
ANMBD 
i is the dataset number varying as 1, 2, …, x 
S. no.Statistical performance metricsEquations
SS 
fo and fs are frequencies of the historical and simulated values, ci are class intervals,
z is the number of metrics, and x is the number of datasets 
CC 
So and Ss are standard deviations of observed and simulated values; 
NSE 
Qo and Qs are observed and simulated values of streamflow; and are mean observed and simulated values 
R2  
NRMSD Oi and Si are the observed and simulated values 
ANMBD 
i is the dataset number varying as 1, 2, …, x 

The entropy method can measure the difference between the datasets and display the outcome as a payoff matrix, as shown by Hwang & Yoon (1981). Sarker et al. (2023) used entropy to measure the disorder and unpredictability of a river's morphology. Entropy assesses the complexity and fluctuations in the river's form, utilizing power spectral density as a tool for analyzing these fluctuations. Through the entropy method, each metric weight is measured independently, and the differences among sets of data in the payoff matrix are calculated. The diversification degree is indirectly related to entropy. If the entropy value measured is high, then it shows a high metric vector, i.e. the diversification degree is less and hence less importance is given. The method is advantageous for large data (Pomerol & Barba-Romero 2000; Al-Aomar 2002; Srinivasa Raju et al. 2017). Weights are the relative importance of the metrics for ranking models in a multicriterion decision-making scenario. Normalized weights (Wz) are assigned to the performance metrics given by
(1)
where the degree of diversification (Dz) is the information by the outcome of criterion z and is expressed as follows:
(2)
The entropy of a matrix (Ez) is given by
(3)
where piz is a payoff matrix and i is a number of models ranging from 1 to x.

A new generation-developed technique of multicriteria decision-making (MCDM), CoCoSo, developed by Yazdani et al. (2019), is used to rank the GCMs. CoCoSo is an integrated, simple additive weighting and exponentially weighted product-based method leading to the execution of the compromise solution. This method has demonstrated its effectiveness by offering a flexible solution that accommodates multiple alternatives assessed across various conflicting scenarios, resulting in corresponding assessment scores. It influences distance measures, thereby enhancing its flexibility. The ranking performance of the CoCoSo method has been shown to be highly competitive with well-established MCDM techniques such as multiobjective optimization based on ratio analysis and complex proportional assessment. Due to its consistent and reliable ranking performance, CoCoSo has gained widespread acceptance in the field (Adar et al. 2022). Primarily, the initial decision-making matrix is developed for six statistical performance metrics to execute CoCoSo. Among the metrics considered for the analysis, CC, R2, NSE and SS, a value of 1 is ideal, whereas for NRMSD and ANMBD, a minimum value of 0 is desirable (Nash & Sutcliffe 1970; Gupta et al. 1999; Adnan et al. 2020; Sreelatha & Anand Raj 2021). Therefore, in the study, CC, R2, NSE, and SS are the beneficial criteria, and NRMSD and ANMBD are the non-beneficial criteria. For CoCoSo, the following steps are validated based on the alternative and their related criteria.

Step 1: Development of initial decision-making matrix

X = [Xij]m×n, where Xij denotes the performance score of the ith alternative with respect to the jth criterion.

Step 2: Application of linear normalization technique

For a beneficial criterion:
(4)
For a non-beneficial (cost) criterion:
(5)
where rij is the normalized value of xij.

Step 3: Estimation of corresponding performance indexes Si and Pi for each of the alternatives

Weighted sum comparability (Si):
(6)
Weighted product comparability (Pi):
(7)
where wj is the relative importance (weight) assigned to the jth criterion.

Step 4: Estimation of three different appraisal scores

Based on the arithmetic mean of sums of Si and Pi:
(8)
Based on the sum of relative scores of Si and Pi:
(9)
Estimate the balanced compromise of Si and Pi scores:
(10)
where the value of λ ranges between 0 and 1, here λ = 0.5 is considered the default value.
Step 5: The alternatives are ranked based on the descending order of their ki values. The best alternative should possess the maximum ki value.
(11)

LSTM is a new generation version of the recurrent neural network. It has the advantage of learning from long-term dependency in sequences, making it successful in many fields, such as rainfall–runoff modeling in hydrology. The application of ML models based on DL like LSTM, deep neural networks, and convolutional neural networks are being extensively utilized in the prediction of streamflow due to capabilities of handling large and complex stochastic datasets and abstracting the internal physical mechanism (Fu et al. 2020; Ghobadi & Kang 2022; Roy & Rao 2024). In the daily streamflow prediction of the Kentucky River basin in the United States of America, a study based on a statistical performance estimation criteria showed that LSTM models outperformed the linear regression, SVR, and multilayer perceptron models (Rahimzad et al. 2021). This study exclusively utilized LSTM, a data-driven model, for streamflow and hydropower estimation, bypassing traditional physical models. LSTM's strength lies in capturing complex patterns from historical data, essential for accurate predictions. Table 2 shows the information regarding hyperparameters used for estimating model parameters in this study.

Table 2

LSTM hyperparameters used in this study

S. no.HyperparametersValues
Window_size 280 
Dense layer units 64 
Activation functions ReLU 
Learning rate 0.0001 
Epochs 50 
Number of LSTM units 64 
Batch size 32 
S. no.HyperparametersValues
Window_size 280 
Dense layer units 64 
Activation functions ReLU 
Learning rate 0.0001 
Epochs 50 
Number of LSTM units 64 
Batch size 32 

Window size is a hyperparameter that defines the number of time steps in the input sequence used for prediction. For this study, 280 window size is taken. Sixty-four dense layer units are taken as the number of neurons in the dense layer. A rectified linear activation function (ReLU) is used in the neural network layers, and linear activation is used in the final output. The learning rate which controls the step size during optimization is defined as 0.0001 for the Adam optimizer (Ghimire et al. 2021; Shu et al. 2021). The Adam optimizer is a widely used optimization algorithm in DL that takes care of updating model weights during training. In the study model, the epoch number is 30. Epochs are the number of training iterations or passes through the entire dataset. The number of LSTM units taken is 64, which determines the number of LSTM units in the LSTM layer of the study model. These are the primary hyperparameters used in the LSTM code for time-series forecasting.

Alteration of hyperparameters can significantly impact the model's performance, and tuning of these parameters is required to optimize the model for specific datasets and tasks. The suitability of a hydrological model for a specific application depends on how accurately it can match simulated flow with observed flow during the training (calibration) and testing (validation) period (Refsgaard 1997). LSTM's utilization in this study allows for the incorporation of multiple GCM data, enhancing the strength and comprehensiveness of the analysis conducted at the Bhakra Dam site. It learns patterns and relationships directly from historical data without incorporating physical laws. To assess model predictions, various methods have been developed, covering quantitative statistics and graphical techniques (Legates & McCabe 1999). Moriasi et al. (2007) categorized these methods into three groups: standard regression, dimensionless, and error index. Each category serves a distinct purpose, such as explaining the relationship between observed and simulated values, comparing model performance, and quantifying deviations in the data units. It is well recognized that a single metric is inadequate to comprehensively evaluate a model's performance; hence, multiple metrics must be evaluated (Adnan et al. 2020).

In this study, the competency of the LSTM model was estimated using five statistical parameters: Table 3 shows the R2, NSE, mean absolute error (MAE), percent bias (PBIAS), and root mean square error (RMSE). Moriasi et al. (2007) established guidelines for the assessment of hydrological models and ranking them based on several metrics. Model performance is categorized as very good, good, satisfactory, or unsatisfactory when the NSE value is between 0.75 and 1, 0.65 and 0.75, 0.50 and 0.65, or less than 0.50, respectively. Similarly, R2 is used to classify models as satisfactory, very good, or unsatisfactory if a value is between 0.6 and 0.7, 0.85 and 1, and below 0.5, respectively. Lower values are preferred, whereas 0 is ideal for PBIAS, RMSE, and MAE. Highly acceptable PBIAS values are below ±10%, while values exceeding ±25% are considered unsatisfactory. Negative PBIAS indicates overestimated bias, while positive suggests underestimated bias (Gupta et al. 1999; Ritter & Muñoz-Carpena 2013).

Table 3

Statistical parameters used to check LSTM model performance

S. no.ParametersEquation
MAE   
PBIAS   
RMSE   
NSE   
R2   
 Pi and Qi are predicted and observed values respectively; n is the number of samples; and and denote the mean of the observed value and predicted value, respectively. 
S. no.ParametersEquation
MAE   
PBIAS   
RMSE   
NSE   
R2   
 Pi and Qi are predicted and observed values respectively; n is the number of samples; and and denote the mean of the observed value and predicted value, respectively. 

Hydropower potential assessment gives the capacity for hydropower generation within a river basin, which primarily depends on various factors like streamflow hydraulic head. To assess the hydropower potential at a specific location, a widely accepted equation can be used:
(12)
where P represents the electric power generated, ρ stands for water density (1,000 kg/m3), g denotes the acceleration due to gravity (approximately 9.81 m/s2), Q signifies the rate of discharge through the power plant (m3/s), H represents the net head, which is the effective height difference (m), and ƞ quantifies the overall efficiency of the power plant, expressed as a ratio (Pandey et al. 2015).

The hydropower potential at the Bhakra Dam site has been evaluated by applying the discharge values in Equation (12); ƞ = 85%, and a net head for the generator (H) of 116 m (Rao & Ramaseshan 1985).

Selection of CMIP6 GCMs

Tables 46 show the statistical performance metric values for 14 CMIP6 multi-GCMs and ranking for varying weight scenarios of rainfall, Tmax, and Tmin, respectively. Using the six performance metrics, the performance of 14 CMIP6 multi-GCMs in modeling three climate variables (rainfall, Tmax, Tmin) in the USRB was compared with the observed data (1985–2014) of IMD for validating the GCM dataset. Weights for the metrics are calculated using the entropy method, and following the steps of CoCoSo, ranking has been done as a result of the performance comparison of the 14 CMIP6 multi-GCMs. For this study, only CMIP6 GCMs with NSE > 0.50 and R2 > 0.50 are considered, ensuring the condition defined by Moriasi et al. (2007). In rainfall metrics, CanESM5 and NESM3 exhibited negative NSE, and only six showed relatively good performance with NSE and R2 > 0.50. Results showed that while some GCMs exhibited good agreement with observed data, others had notable biases, particularly in capturing the magnitude of extremes. This thorough validation ensures the strength of the climate projections used in the study, enhancing the credibility of the findings related to changes in streamflows and hydropower potential at the Bhakra Dam site under future climate scenarios.

Table 4

Rainfall statistical performance metric values for GCMSs and ranking for varying weight scenarios

S. no.GCMSSCCNSER2NRSMDANMBDRank
ACCESS-CM2 0.54 0.70 0.12 0.35 0.06 0.01 10 
ACCESS-ESMI-5 0.58 0.69 0.31 0.42 0.05 0.02 
BCC-CSM2-MR 0.65 0.76 0.50 0.52 0.05 0.02 
CanESM5 0.76 0.69 −0.35 0.02 0.07 0.51 14 
CMCC-CM2-SR5 0.70 0.87 0.55 0.56 0.06 0.01 
CMCC-ESM2 0.73 0.79 0.52 0.58 0.05 0.01 
MIROC6 0.63 0.69 0.42 0.49 0.05 0.03 
MPI-ESM1-2-HR 0.85 0.88 0.73 0.81 0.04 0.01 
MPI-ESM1-2-LR 0.59 0.64 0.38 0.46 0.05 0.01 
10 MRI-ESM2-0 0.65 0.78 0.51 0.53 0.05 0.02 
11 NESM3 0.72 0.76 −0.19 0.00 0.01 0.49 13 
12 NorESM2-LM 0.47 0.56 0.21 0.28 0.06 0.03 12 
13 NorESM2-MM 0.67 0.70 0.53 0.57 0.05 0.00 
14 TaiESM1 0.65 0.71 0.07 0.17 0.07 0.00 11 
S. no.GCMSSCCNSER2NRSMDANMBDRank
ACCESS-CM2 0.54 0.70 0.12 0.35 0.06 0.01 10 
ACCESS-ESMI-5 0.58 0.69 0.31 0.42 0.05 0.02 
BCC-CSM2-MR 0.65 0.76 0.50 0.52 0.05 0.02 
CanESM5 0.76 0.69 −0.35 0.02 0.07 0.51 14 
CMCC-CM2-SR5 0.70 0.87 0.55 0.56 0.06 0.01 
CMCC-ESM2 0.73 0.79 0.52 0.58 0.05 0.01 
MIROC6 0.63 0.69 0.42 0.49 0.05 0.03 
MPI-ESM1-2-HR 0.85 0.88 0.73 0.81 0.04 0.01 
MPI-ESM1-2-LR 0.59 0.64 0.38 0.46 0.05 0.01 
10 MRI-ESM2-0 0.65 0.78 0.51 0.53 0.05 0.02 
11 NESM3 0.72 0.76 −0.19 0.00 0.01 0.49 13 
12 NorESM2-LM 0.47 0.56 0.21 0.28 0.06 0.03 12 
13 NorESM2-MM 0.67 0.70 0.53 0.57 0.05 0.00 
14 TaiESM1 0.65 0.71 0.07 0.17 0.07 0.00 11 
Table 5

Tmax statistical performance metric values for GCMSs and ranking for varying weight scenarios

S. no. GCMSSCCNSER2NRSMDANMBDRank
ACCESS-CM2 0.76 0.69 0.32 0.46 0.03 0.04 12 
ACCESS-ESMI-5 0.72 0.71 0.53 0.65 0.05 0.02 11 
BCC-CSM2-MR 0.57 0.74 0.68 0.77 0.01 0.01 
CanESM5 0.77 0.70 −0.05 0.52 0.02 0.02 14 
CMCC-CM2-SR5 0.78 0.87 0.72 0.81 0.01 0.00 
CMCC-ESM2 0.58 0.78 0.67 0.76 0.01 0.00 
MIROC6 0.58 0.78 0.60 0.65 0.01 0.00 
MPI-ESM1-2-HR 0.68 0.83 0.79 0.88 0.01 0.01 
MPI-ESM1-2-LR 0.58 0.72 0.55 0.61 0.01 0.00 10 
10 MRI-ESM2-0 0.71 0.88 0.70 0.76 0.01 0.01 
11 NESM3 0.50 0.63 0.32 0.46 0.05 0.07 13 
12 NorESM2-LM 0.63 0.73 0.54 0.68 0.01 0.01 
13 NorESM2-MM 0.70 0.84 0.73 0.79 0.01 0.00 
14 TaiESM1 0.58 0.78 0.51 0.68 0.01 0.01 
S. no. GCMSSCCNSER2NRSMDANMBDRank
ACCESS-CM2 0.76 0.69 0.32 0.46 0.03 0.04 12 
ACCESS-ESMI-5 0.72 0.71 0.53 0.65 0.05 0.02 11 
BCC-CSM2-MR 0.57 0.74 0.68 0.77 0.01 0.01 
CanESM5 0.77 0.70 −0.05 0.52 0.02 0.02 14 
CMCC-CM2-SR5 0.78 0.87 0.72 0.81 0.01 0.00 
CMCC-ESM2 0.58 0.78 0.67 0.76 0.01 0.00 
MIROC6 0.58 0.78 0.60 0.65 0.01 0.00 
MPI-ESM1-2-HR 0.68 0.83 0.79 0.88 0.01 0.01 
MPI-ESM1-2-LR 0.58 0.72 0.55 0.61 0.01 0.00 10 
10 MRI-ESM2-0 0.71 0.88 0.70 0.76 0.01 0.01 
11 NESM3 0.50 0.63 0.32 0.46 0.05 0.07 13 
12 NorESM2-LM 0.63 0.73 0.54 0.68 0.01 0.01 
13 NorESM2-MM 0.70 0.84 0.73 0.79 0.01 0.00 
14 TaiESM1 0.58 0.78 0.51 0.68 0.01 0.01 
Table 6

Tmin statistical performance metric values for GCMSs and ranking for varying weight scenarios

S. no.GCMSSCCNSER2NRSMDANMBDRank
ACCESS-CM2 0.62 0.90 0.62 0.67 0.04 0.01 
ACCESS-ESMI-5 0.73 0.79 0.50 0.53 0.05 0.02 10 
BCC-CSM2-MR 0.74 0.86 0.80 0.86 0.01 0.00 
CanESM5 0.36 0.35 0.19 0.38 0.03 0.05 13 
CMCC-CM2-SR5 0.82 0.94 0.84 0.91 0.01 0.01 
CMCC-ESM2 0.82 0.67 0.58 0.69 0.01 0.02 
MIROC6 0.74 0.91 0.72 0.82 0.01 0.01 
MPI-ESM1-2-HR 0.75 0.92 0.86 0.91 0.01 0.00 
MPI-ESM1-2-LR 0.52 0.62 0.32 0.58 0.03 0.05 11 
10 MRI-ESM2-0 0.65 0.82 0.76 0.90 0.01 0.01 
11 NESM3 0.73 0.63 −0.02 0.89 0.03 0.06 14 
12 NorESM2-LM 0.64 0.68 0.58 0.72 0.02 0.03 
13 NorESM2-MM 0.84 0.86 0.81 0.89 0.01 0.01 
14 TaiESM1 0.79 0.66 0.34 0.42 0.05 0.03 12 
S. no.GCMSSCCNSER2NRSMDANMBDRank
ACCESS-CM2 0.62 0.90 0.62 0.67 0.04 0.01 
ACCESS-ESMI-5 0.73 0.79 0.50 0.53 0.05 0.02 10 
BCC-CSM2-MR 0.74 0.86 0.80 0.86 0.01 0.00 
CanESM5 0.36 0.35 0.19 0.38 0.03 0.05 13 
CMCC-CM2-SR5 0.82 0.94 0.84 0.91 0.01 0.01 
CMCC-ESM2 0.82 0.67 0.58 0.69 0.01 0.02 
MIROC6 0.74 0.91 0.72 0.82 0.01 0.01 
MPI-ESM1-2-HR 0.75 0.92 0.86 0.91 0.01 0.00 
MPI-ESM1-2-LR 0.52 0.62 0.32 0.58 0.03 0.05 11 
10 MRI-ESM2-0 0.65 0.82 0.76 0.90 0.01 0.01 
11 NESM3 0.73 0.63 −0.02 0.89 0.03 0.06 14 
12 NorESM2-LM 0.64 0.68 0.58 0.72 0.02 0.03 
13 NorESM2-MM 0.84 0.86 0.81 0.89 0.01 0.01 
14 TaiESM1 0.79 0.66 0.34 0.42 0.05 0.03 12 

Further, in Tmax and Tmin, negative NSE is presented by CanESM5 and NESM3, respectively, and 11 and ten CMIP6 multi-GCMs show R2 and NSE >0.50. Considering the three climate variable metrics (rainfall, Tmax, Tmin) and their CMIP6 multi-GCM ranks, the final ranking has been done (using Equation 11); hence, the selected six models as per their rank order are (1) Centro Euro-Mediterraneo sui Cambiamenti Climatici Climate Model 2, Scenarios RCP 5 (CMCC-CM2-SR5); (2) Max Planck Institute for Meteorology Earth System Model version 1.2 with higher resolution (MPI-ESM1–2-HR); (3) Norwegian Earth System Model version 2 – Medium Resolution (NorESM2-MM); (4) Meteorological Research Institute Earth System Model version 2.0 (MRI-ESM2-0); (5) Centro Euro-Mediterraneo sui Cambiamenti Climatici – Earth System Model Version 2 (CMCC-ESM2); and (6) Beijing Climate Center Climate System Model 2, Version MR (BCC-CSM2-MR). Within the selected models, NSE and R2 range from 0.50 to 0.73 and 0.51 to 0.80, respectively, for rainfall; 0.67 to 0.78 and 0.76 to 0.88, respectively, for Tmax; and 0.71 to 0.85 and 0.82 to 0.9, respectively, for Tmin. These six models were studied to examine the streamflow and hydropower potential pattern for the future period (2015–2050) in the USRB.

LSTM model performance

LSTM modeling provides predicted values by capturing and learning patterns in sequential data of historical time-series (Ghimire et al. 2021). To train the model, daily observed data from 1985 to 2014 at the Bhakra gauging station is utilized, and CMIP6 multi-GCMs generate historical projections. The implementation of LSTM simulations was executed using Python programming. The models utilized seven variables as input: rainfall, Tmax, Tmin, discharge, wind speed, solar radiation, and relative humidity; other meteorological parameters remained constant throughout the modeling processes. The entire dataset is divided into training, validation, and testing subsets. The training subset comprises 80% of the total data facilitating model fitting, while the testing and validation subset consists of 10% each of the total data to assess model accuracy.

The LSTM model shows performance statistics falling well within values (Gupta et al. 1999; Moriasi et al. 2007; Ritter & Muñoz-Carpena 2013): MAE = 56.36, NSE = 0.93, RMSE = 131.87, R2 = 0.93, PBIAS = −3.01% in training; MAE = 59.58, NSE = 0.91, RMSE = 151.73, R2 = 0.91, PBIAS = −4.39% in validation; and MAE = 52.92, NSE = 0.95, RMSE = 107.61, R2 = 0.95, PBIAS = −1.68% in testing. With these performance values, the LSTM model was used to predict the streamflow in the USRB under SSP245 and SSP585 scenarios in the future (2015–2050). Figure 3(a)–3(f) shows the comparison between observed streamflow and simulated streamflow with selected CMIP6 GCMs for the study using the developed LSTM model at the Bhakra Dam gauging station, which is the outlet of the basin. As observed from the time variance graphs, the model has followed the trend but showed slight limitations and underperformance during the simulation of higher values of streamflow. Despite LSTM's ability to capture temporal dependencies effectively, it is possible that certain nuances or intricacies within the system are not fully captured by the model structure.
Figure 3

The comparison of streamflow simulated with selected CMIP6 GCMs for the study and observed streamflow is shown (a–f).

Figure 3

The comparison of streamflow simulated with selected CMIP6 GCMs for the study and observed streamflow is shown (a–f).

Close modal
Figure 4 shows the variability in streamflow of various months of the year in the observed and selected CMIP6 GCMs-simulated streamflow during the reference period (1985–2014), which was evaluated by comparing the streamflow simulated by the LSTM model with the observed data. BCC-CSM2-MR shows the highest positive deviation in June, with a 12.58% increase and CMCC-CM2-SR5 shows the highest negative deviation in August, with a 13.21% decrease compared with the observed streamflow. CMCC-ESM2 shows a mix of positive and negative deviations, with the highest increase of 7.76% in February and the highest decrease of 11.10% in August. MPI-ESM1-2-HR and MRI-ESM2-0 show trends of underestimation of streamflow, with maximum deviations in August of −13.16% and −8.90%, respectively, and some positive deviations in the first half of the year (January to May). NorESM2-MM displays a mix of overestimations and underestimations, with the highest increase in February (10.76%) and the highest decrease in August (−5.68%). Mean ensemble of models shows a smaller range of deviations with the highest positive deviation in February (8.40%) and the highest negative deviation in August (−8.47%). The graph shows strong accordance during January to March and November and December. The streamflows are comparable during April and May and September and October and differ during June to August. Orography influences the regional Indian summer monsoon (ISM) climate and makes it challenging to predict daily precipitation across the Himalayan region (Choudhury et al. 2022). Gusain et al. (2020) showed improvements in ISM simulations using CMIP6 GCMs compared with CMIP5 GCMs, where inconsistencies between the models persisted and showed uncertainty in predictions.
Figure 4

The comparison of observed and CMIP6 GCMs-simulated streamflow during 1985–2014.

Figure 4

The comparison of observed and CMIP6 GCMs-simulated streamflow during 1985–2014.

Close modal

Projected change in rainfall and temperature during 2015–2050 under SSP245 and SSP585

Figure 5 shows the mean monthly rainfall, Tmax, and Tmin projected change compared with the reference period (1985–2014) in the catchment during 2015–2050 under SSP245 and SSP585. An increase of rainfall is expected throughout the year under both scenarios, SSP245 and SSP585, except for September under SSP245 and February under SSP585, where the mean ensemble of models shows a fall of 5.4% and 2.8%, respectively. Low rises of rainfall are predicted during monsoon (July to September) under SSP245 and SSP585, ranging from −5.4% to 6.9% and 2.1% to 8.9%, respectively, and the greatest rises during October to December by 14.0%–18.2% and 16.4%–22.2%. Under both the SSP245 and SSP585 scenarios, the mean ensemble of models of Tmax predicted a rise in temperature throughout the year and the maximum rise is expected from June to September and precisely in July, 21% and 19%, respectively. The least rise in temperature is predicted in May and October by 1.7% and 1.8% under SSP245 and SSP585, respectively. The predicted range shows an increase in mean monthly Tmin throughout the year, with July being the month of maximum rise in temperature by 12% and 20% and October and January being the months of least rise by 2% and 2.9% under SSP245 and SSP585, respectively. Tmin has a relatively higher rise in temperature as compared with Tmax. This similar variation is also observed by Singh et al. (2015c). The observed changes in rainfall and temperature align with the findings of other researchers, such as Ali et al. (2018), Singh et al. (2023), Sabin et al. (2020), and Shukla et al. (2021). Lalande et al. (2021) predicted the general rise in the average annual precipitation across the Himalayan region through ten CMIP6 GCMs and the ensemble model projection predicted a rise in precipitation ranging from 8.6% to 25.4% from 2081 to 2100 under both SSP245 and SSP585 scenarios. Sabin et al. (2020) observed projected increase in Tmax by 2.2 and 2.8 °C under RCP4.5 and RCP8.5, respectively; Tmin by 2.3 and 3.3 °C under RCP4.5 and RCP8.5, respectively; and precipitation by up to 8% and 15% under RCP4.5 and RCP8.5, respectively, in the near future (2040–2069). Also, increase in Tmin by 5.5 °C is projected over the Eastern Himalaya region. An increase in winter (November to April) and ISM (June to September) rainfall within the region is also observed through the ensemble model.
Figure 5

Projected change in the mean monthly rainfall, Tmax, and Tmin in the sub-basin using selected CMIP6 GCMs under the SSP245 and SSP585 scenarios during 2015–2050.

Figure 5

Projected change in the mean monthly rainfall, Tmax, and Tmin in the sub-basin using selected CMIP6 GCMs under the SSP245 and SSP585 scenarios during 2015–2050.

Close modal

Projected streamflow and hydropower potential (2015–2050) under SSP245 and SSP585

Figure 6 displays the comparison of the mean monthly streamflow of the USRB during the reference period (1985–2014) with the mean monthly streamflow of the selected CMIP6 multi-GCMs under SSP245 and SSP585 for the future period (2015–2050). The comparison of monthly streamflow predictions across various models reveals significant variations. The BCC-CSM2-MR model shows the highest streamflow of 23.23% in November and the lowest in August (−8.32%), and the highest streamflow of 21.80% in September and the lowest in October (−1.24%) under SSP245 and SSP585, respectively, indicating substantial variability. Similarly, the CMCC-ESM2 model predicts variability ranging from −1.76% in March to 20.96% in February under SSP245 and from −4.64% in July to 26.20% in October under SSP585. The CMCC-CM2-SR5 model exhibits distinct variation, with predictions ranging from −1.82% in August to 15.75% in February under SSP245 and from −7.84% in July to 20.30% in November under SSP585. In contrast, the MPI-ESM1-2-HR model has extreme fluctuations, from −7.77% in August to 26.01% in March and from −8.32% in August to 29.29% in November, under SSP245 and SSP585, respectively. The MRI-ESM2-0 model also shows significant variation, with a low of −4.63% and −5.46% in August and a high of 23.68% and 28.87% in November under SSP245 and SSP585, respectively. The NorESM2-MM model presents very high variability, with streamflow predictions spanning from −7.84% in August to 28.74% in March under SSP245 and from −13.32% in August to 25.99% in October under SSP585.
Figure 6

The mean monthly streamflow of the study region under SSP245 and SSP585 is compared with the reference period (1985–2014).

Figure 6

The mean monthly streamflow of the study region under SSP245 and SSP585 is compared with the reference period (1985–2014).

Close modal

The predicted range shows an increase in mean monthly streamflow; the mean ensemble of the model shows an increase in streamflow throughout the year from 2.06% to 15.90% under SSP245 and from 4.43% to 17.36% under SSP585. However, in August under SSP245, a decrease in streamflow is predicted by 5.9%; and in July and August, it decreases by 3.9% and 4.6%, respectively, under SSP58. Under both scenarios, the maximum rise in streamflow is predicted in February and November, which is about 15% under SSP245 and about 17% under SSP585 compared with the reference period. The projected decrease in streamflow under a warming climate and increase in precipitation is consistent with previous studies, for instance, Ali et al. (2018) and Singh et al. (2023). A clear pattern (seasonal increase or decrease) is not observed in the predicted range of mean monthly streamflow. The deviation aligns with the findings of other researchers (Singh et al. 2015a; Gusain et al. 2020; Kim et al. 2020). Variations might influence inconsistencies in streamflow estimates in climate-variable projections arising from differences in spatial resolutions and parameterization levels within climate models (Sperna Weiland et al. 2010; Singh et al. 2015a). The averaging of an ensemble of GCMs mitigates the errors inherent in individual models, and as the number of models included in the ensemble increases, the overall uncertainty in the ensemble decreases (Murphy et al. 2004). Consequently, to minimize the uncertainty associated with streamflow projections linked to individual CMIP6 multi-GCMs, the study examined the streamflow pattern of the USRB by incorporating the mean ensemble data from all six GCMs. Flow duration curves (FDCs) describe the relationship between the probability of exceedance of time and flow magnitude, and are used to assess hydropower potential (Post 2004).

Figure 7 shows FDC for the observed period (1985–2014) streamflow and LSTM model simulated streamflow under SSP245 and SSP585 (from the selected CMIP6 GCMs) for the future period (2015–2050), and they are well compared. To plan hydropower projects, dependability flows at various percentage levels, such as 50%, 75%, or 90%, are derived from FDCs. These values, denoted as Q50, Q75, or Q90, represent monthly flow values from the water resource with corresponding probabilities. Precisely, Q50 signifies a monthly flow level that has a 50% chance of not being exceeded. In comparison, Q75 indicates a 25% chance of exceeding it, and Q90 denotes a 10% possibility of exceeding the monthly flow value. Figure 7 shows the comparison taking the mean ensemble of model changes during 2015–2050 under both emission scenarios and observed streamflow (1985–2014). Q50 is predicted to increase from 333.81 m3/s during the observed period to 378.70 m3/s (13%) under SSP245 and to 405.19 m3/s (21%) under SSP585. Similarly, the Q75 increment is expected from 203.57 m3/s during the observed period to 237.37 m3/s (16%) under SSP245 and 239.91 m3/s (17%) under SSP585. Dependability flows at 90% predict a rise in streamflow from 166.98 m3/s during the reference period to 196.21 m3/s (17%) under SSP245 and 198.05 m3/s (18%) under SSP585. This increase in dependability flows at various percentage levels is consistent with the findings of a previous study by Ali et al. (2018), which highlighted similar trends across different scenarios and datasets.
Figure 7

Comparison of FDCs obtained using simulated streamflow with observed data (1985–2014) and downscaled and bias-corrected data from the CMIP6 GCM models (2015–2050).

Figure 7

Comparison of FDCs obtained using simulated streamflow with observed data (1985–2014) and downscaled and bias-corrected data from the CMIP6 GCM models (2015–2050).

Close modal
Figure 8 shows the comparison of hydropower potential predicted during 2015–2050 through the mean ensemble of models under the two emission scenarios, SSP245 and SSP585. Hydropower potential prediction through the mean ensemble of models shows an increase of hydropower potential at the Bhakra gauging station in the future period (2015–2050) during all seasons of the year considering the future climate variables, compared with the reference period (1985–2014) except in a few months of monsoon, as August under SSP245 and the two months of July and August under SSP585. The mean ensemble of models a range of hydropower potential to increase up to 15.9% and decrease by 5.9% (only in August) under SSP245 and an increase of up to 17.3% is expected with a decrease of hydropower potential during two months, July and August, by 3.9% and 4.6%, respectively, under SSP585. Furthermore, SSP585 shows a rise of hydropower potential year round up to 9% compared with SSP245 except in March and July, where a fall of 0.68% and 5.88%, respectively, is expected. The projected streamflow pattern and hydropower potential for the USRB under SSP245 and SSP585 scenarios during 2015–2050 show similar tendencies, but with different magnitudes than have been found by past researchers, including Ali et al. (2018), Singh et al. (2023), and Shukla et al. (2021).
Figure 8

Variation in hydropower potential is shown under SSP245 and SSP585 using mean ensemble of models during 2015–2050.

Figure 8

Variation in hydropower potential is shown under SSP245 and SSP585 using mean ensemble of models during 2015–2050.

Close modal

The performance of 14 GCMs within the CMIP6 framework was analyzed using six performance statistics: SS, NSE, CC, R2, NRMSD, and ANMBD for predicting rainfall, Tmax, and Tmin of USRB. The entropy technique was used to assign weights to each performance metric and the CoCoSo technique ranked the multi-GCM based on performance. BCC-CSM2-MR, CMCC-CM2-SR5, CMCC-ESM2, MPI-ESM1-2-HR, MRI-ESM2-0, and NorESM2-MM are the six selected models out of the 14 CMIP6 multi-GCMs. Bias-corrected statistically downscaled data at 0.25° × 0.25° grid resolution of the six selected CMIP6 multi-GCMs were used in LSTM, a DL model which shows competence in predicting future streamflow at the Bhakra Dam site, during 2015–2050 under two GHG trajectories SSP245 and SSP585. The performance statistics of the LSTM model show MAE = 56.36, NSE = 0.93, RMSE = 131.87, R2 = 0.93, and PBIAS = −3.01% in training. They are 59.58, 0.91, 151.73, 0.91, and −4.39% in validation; and 52.92, 0.95, 107.61, 0.95, and −1.68% in testing, respectively. The mean ensemble of models shows an increase in mean monthly rainfall, Tmax, and Tmin in most of the months of the future period (2015–2050) under both scenarios SSP245 and SSP585 (Gupta & Sharif 2021; Singh et al. 2023). Due to the projected increase in rainfall, mean monthly streamflow and hydropower potential are projected to rise under the future climate scenario. However, predicted rise in Tmax and Tmin shows significant warming to result in a decline in streamflow and hydropower production in July and August at the Bhakra Dam site hydropower projects (Ali et al. 2018). Also, significant variations in the streamflow pattern as well as hydropower potential were observed throughout the periods of months, seasons, and years for the CMIP6 GCMs. The FDC developed to assess the dependability flows at Q50, Q75 and Q90 show the rise of streamflow by 13% and 21%, 16% and 17%, 17% and 18% compared with the reference period (1985–2014) under SSP245 and SSP585, respectively.

The distinct variations in spatial resolution and parameterization levels in CMIP6 GCMs make these advantageous aspects to predict the streamflow and hydropower potential for future periods. These latest advancements in GCMs are contributory in generating valuable insights of projected changes in temperature and rainfall during the study period. The results provide insights into the development and planning of hydropower projects in India under the currently projected future climate. This study provides valuable insights for strategic planning and effective decision-making in the face of changing climatic conditions, ensuring sustainable water resource management.

While this research provides valuable insights into the potential impacts of climate change on streamflow patterns and hydropower generation at the Bhakra Dam site, several limitations must be noted. First, the study's reliance on only six out of the 14 bias-corrected, statistically downscaled datasets from CMIP6 multi-GCMs may not fully capture the complete range of uncertainties inherent in climate models, potentially biasing the results. Second, the data resolution at a 0.25° × 0.25° grid may not sufficiently represent local-scale variations that are critical for accurate hydrological predictions. In addition, while the LSTM model is a powerful tool for time-series forecasting, its performance can be sensitive to the length and quality of training data and the choice of hyperparameters. Moreover, estimating hydropower potential involves complex interactions beyond streamflow patterns, such as infrastructure and operational constraints, which may not be fully captured in the analysis. Addressing these limitations could enhance the robustness and reliability of the study's findings regarding climate-change impacts on streamflows and hydropower generation.

The authors acknowledge the Indian Meteorological Department (IMD) for rainfall and temperature data and the Central Water Commission (CWC), New Delhi, for discharge data used in this study.

Data cannot be made publicly available; readers should contact the corresponding author for details.

The authors declare there is no conflict.

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