1. Introduction
Hydropower is a crucial renewable energy source in Turkey, particularly given the nation’s expanding energy requirements and the significant hydroelectric potential within its river basins. Effective management of water storage reservoirs, such as those in the Euphrates–Tigris Basin (ETRB), is essential for optimizing hydropower production and ensuring water availability. This necessity becomes even more pressing in the context of climate change, which poses challenges through altered precipitation patterns and increased frequency of extreme weather events. It is widely acknowledged that managing water storage reservoirs is essential for fostering adaptability and resilience in the face of the numerous obstacles that climate change and its effects present. These facilities serve multiple purposes, such as mitigating flood damage and providing water during dry spells. Depending on how they are built and used, basins can support a wide range of ecosystem services, help produce energy, and guarantee a consistent supply of water under less extreme conditions [
1,
2]. For instance, streamflow variations, forecast uncertainty, and storage capacity restrictions are frequently considered when optimizing the delivery of water [
3]. As a result, numerous models have sought to estimate the best release scenarios while taking the context of the difficulties encountered and climate projections into account. Peng and Buras presented a computational procedure for multi-reservoir systems, considering water budget and cumulative mass curves to account for both controlled and unregulated flow [
4]. Other methods, like extended deficit analysis, incorporated reservoir characteristics to explore storage–yield relationships with regard to available data on each studied dam. Research advancements are needed to improve the accuracy of estimation methods for streamflow release. Decision-support tools provide estimates of daily outflows from reservoirs and compare them with estimates of unaltered streamflow [
5]. These tools help environmental managers understand the complex interactions between water withdrawals, reservoir operational practices, and aquatic habitats. They also identify physical and operational features of reservoirs that have a significant effect on reservoir outflows, such as the ratio of average withdrawals to average inflows and the size of the surface area relative to drainage area. In addition, D. Fishel studied the hydrology and water quality of Swatara Creek in Pennsylvania, which included analyzing concentrations of suspended sediment, nutrients, metals, and acid mine drainage in surface-water inflows and downstream discharge from a planned reservoir [
6]. The study found that mine drainage affects water quality and can impair the planned uses for the reservoir unless measures are taken to improve water quality from both point and nonpoint sources. These studies highlight the importance of developing more accurate estimation methods for streamflow release to better manage water resources and preserve downstream ecosystems.
With climate change projected to exacerbate water scarcity and extreme weather events in many regions, the need for improved reservoir management strategies has become increasingly urgent [
7,
8]. A study by Lehner et al. utilized the global water model WaterGAP to assess the impact of global change on Europe’s hydropower potential. This comprehensive model-based analysis indicated significant regional variability in hydropower potential, with southern and southeastern Europe expected to see reductions of 25% or more due to climate change. Hamududu and Killingtveit [
9] evaluated the changes in global hydropower generation using an ensemble of global circulation models (GCMs). Their findings suggested that while global hydropower generation might remain relatively stable, regional variations would be substantial, with some areas experiencing significant increases or decreases in hydropower potential. Arriagada et al. (2019) [
10] focused on data-scarce regions and used reconstructed streamflow series combined with geographic information systems (GIS) techniques to estimate hydropower potential. They found significant variability in hydropower potential modulated by climatic oscillations like El Niño, emphasizing the need for improved hydropower development policies. Mutsindikwa et al. [
11] assessed the impact of climate change on the hydropower potential of the Bamboi catchment in West Africa. Using regional climate models and hydrological models, they projected a decrease in hydropower generation despite an increase in precipitation, due to seasonal variabilities in water availability. Duratorre et al. [
12] examined the effects of climate change on hydropower production in the Alps using a state-of-the-art hydrological model. Their projections showed that while temperature increases would significantly reduce ice and snowmelt, hydropower production might experience moderate increases due to higher precipitation in some scenarios. Developing accurate estimation methods for streamflow release and optimizing reservoir operations can help mitigate the impacts of droughts, floods, and water shortages, while also supporting ecosystem health and meeting diverse water demands [
13,
14]. Moreover, effective reservoir management can contribute to sustainable development goals and promote water security, particularly in transboundary river basins where cooperation and coordinated management are essential [
15,
16].
With advances in modeling streamflow and release operations in multi-reservoir systems, the aim of the current study is to address the widely used generic framework for reservoir simulation proposed by Hanasaki et al. [
17]. Starting from the suggested global framework, we aim to:
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Assess the performance of the suggested framework through empirical analysis.
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Develop site-specific characteristics adapted for the Euphrates–Tigris Basin (ETRB).
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Analyze a series of multiple reservoir systems using site-specific parameters.
Hence, this work will advance much-needed information for the ETRB region by adapting established frameworks to the local context, ultimately guiding reservoir management schemes.
3. Results
Using the initial suggested value for α = 0.85 did not yield promising results in estimating hydropower potential, and the coefficient of determination was significantly low for all of the 14 dams. When the dams’ observed hydropower data were subjected to an initial analysis to see which constant α value would yield the most robust estimations, it was observed that α = 0.5 was the optimal choice with the range of R
2 between 0.289 and 0.612 (
Figure 4). PBIAS ranged between 19% and 40% and the Nash–Sutcliffe Efficiency (NSE), a normalized statistic that determines the relative magnitude of the residual variance compared to the measured data variance, ranged between 2.75 and 4.17 (
Figure 5). This further demonstrated the initial model’s predictive accuracy.
Afterwards, the regression results yielded the following relationship between α and Area:
Table 2 presents a comprehensive comparison of hydrological model performance metrics across multiple dams, before and after the optimization of the parameters α and β. For each dam, the Percent Bias (PBIAS), Nash–Sutcliffe Efficiency (NSE), and the Coefficient of Determination (R
2) are initially computed with α set to 0.5 and β to 2. Following optimization, new values for these metrics (PBIAS-new, NSE-new, and R
2-new) are calculated along with the optimized values for α and β.
Specifically, the Keban Dam showed a PBIAS reduction from 34% to 7.5% and an increase in NSE from 2.95 to 0.653 after optimization, indicating a more accurate model with less systematic bias and improved efficiency. The R2 value increased from 0.439 to 0.765, with a refined R2-new* value of 0.745 based on the specified formula. Similarly, the Karakaya Dam’s PBIAS improved from 28% to 16.2%, and R2 increased significantly from 0.582 to 0.832, reflecting a substantial enhancement in the model’s explanatory power.
Ataturk and Birecik Dams also saw improvements in R2 from 0.612 to 0.795 and from 0.427 to 0.810, respectively. The Seyhan Dam was notable for achieving an NSE-new of 1.014, surpassing the optimal value of 1, which may indicate a potential overfitting issue or an anomaly in the model’s performance.
Conversely, the Adıgüzel Dam, despite a high initial PBIAS of 43%, managed to decrease it to 10.6% post-optimization. The R2-new value here was one of the highest recorded at 0.892, with an R2-new* adjustment leading to 0.848, suggesting strong predictive capability after optimization.
For the remaining dams, the optimization process resulted in varying degrees of improvement across all metrics. The Alakır Dam, for example, reduced its PBIAS from 41% to 12.6% and increased its R2-new from 0.427 to 0.791. In contrast, the Gezende Dam, with a smaller optimization in α, still managed to enhance its R2 from 0.539 to 0.828.
In
Figure 5, the vertical axis represents the metric values, while the horizontal axis lists the individual dam names. The blue bars indicate the NSE (Nash–Sutcliffe Efficiency) values, the green bars represent the PBIAS (Percent Bias) values, and the red bars show the R
2 (Coefficient of Determination) values for each dam.
Before the adjustment of the parameters for the Hanasaki equations, the hydropower estimation for all 14 dams is significantly weak, as can be seen from
Figure 4 and
Figure 5. It is clear that an adjustment of the equation was crucial for accurate hydropower estimation.
Figure 6 showcases the results of a stochastic optimization approach applied to the Keban Dam. This approach aimed to identify the optimal value of α for improved predictive accuracy. The results showed a notable increase in the optimal α value, which was determined to be 0.851 for Keban Dam. This indicates that the initial assumption of α = 0.5 was suboptimal for this specific context.
The resulting releases for the four chosen dams are shown for the projected period from 2022 to 2090, obtained from the HBV model [
18]. As it can be clearly seen from
Table 2, after the adjustment of parameter α, the robustness of the equation’s estimation capabilities significantly increased. The predicted streamflow showed significant compatibility with the observed streamflow, as explained in
Table 2, with the statistical goodness-of-fit measures after the adjustment of physical parameters. Thus, with the new adjusted equation, the first step is to calculate streamflow releases, Rm, for the future (2024–2100).
Keban, Karakaya, Ataturk, and Birecik Dams’ streamflow releases from 2024 to 2100 are shown in
Figure 7. The graphs present the enhanced performance metrics for each dam following the adjustment of the α parameter. A general increase in R
2 values across the board was observed, signifying a substantial improvement in model accuracy and predictive power.
The changes to the near future from previous years for both the observed flow and estimated flow and the effects on hydropower will be further discussed in the Discussion section.
In
Figure 8, the plots show significant seasonal variability in water releases. For example, Keban and Karakaya exhibit peak releases around spring and early summer, likely due to snowmelt and rainfall patterns, whereas Ataturk and Birecik show more moderated fluctuations, suggesting different water management strategies or basin characteristics.
Figure 9 showcases the hydropower generation trends indicating growth and decline phases and reflecting operational and environmental changes. Notably, Karakaya shows a sharp increase in production capacity towards the later years, suggesting possible upgrades or increased water availability, whereas Ataturk demonstrates more consistent output, indicating stable conditions and efficient management.
After the estimation of the streamflow release, , the next step of the multi-equation is to estimate the hydropower, which is the main purpose of this study. The hydropower is estimated for the Keban, Karakaya, Ataturk, and Birecik dams for the period from 2024 to 2100. The changes to hydropower in the upcoming years, the potential causes of these changes, and the possible effects on the economy will be discussed further.
In
Figure 10, the hydropower generation rate of change for the near future is shown. In general, annual changes in hydropower generation reveal operational challenges and successes. For instance, it can be observed from
Figure 10 that Karakaya dam experiences significant fluctuations in hydropower generation, suggesting possible volatility in water inputs or mechanical issues.
Table 3 showcases the Mann-Kendall test results for hydropower generation. The test revealed a significant decreasing trend in both periods for Ataturk Dam, with a more pronounced decline up to 2050. The negative
value indicates a decreasing trend in hydropower generation, with the trend becoming less steep in the period from 2051 to 2100; however, it remains significant.
Birecik Dam exhibits a slight but statistically significant increasing trend in hydropower generation for both periods. The positive values indicate an increasing trend, with the trend remaining relatively stable throughout the later period.
Karakaya Dam presents a small increasing trend up to 2050, switching to a significant decreasing trend from 2051 to 2100. The change from a positive to a negative τ value indicates a shift in the trend of hydropower generation, suggesting a potential concern for long-term generation prospects.
Keban Dam shows a consistent but slightly increasing trend in hydropower generation for both periods, with the trend slightly weakening in the later period but remaining positive and significant. These trends provide insight into the hydropower capacities of these dams for the near future.
Seasonal Mann Kendall results are showcased in
Table 4: Ataturk Dam experiences significant seasonal variation, with an increasing trend in hydropower generation during the summer and a decreasing trend in the winter, suggesting seasonal dependencies on water availability or usage patterns.
Birecik Dam shows significant increasing trends in both autumn and summer, indicating good performance in these seasons. The absence of significant trends in spring and winter suggests stable generation or less variation in these periods.
Karakaya Dam faces significant decreasing trends in autumn and summer, highlighting potential challenges or reduced water availability in these seasons.
Keban Dam’s significant decreasing trend in the summer could indicate vulnerabilities or operational constraints during this season, despite the lack of significant trends in other seasons.
Seasonal Variability: Significant trends are observed in specific seasons for each dam, indicating varying operational and environmental influences across the year. Summer Trends: Ataturk and Birecik Dams show increased generation in summer, while Karakaya and Keban Dams face decreases, highlighting the impact of seasonal factors. Winter Generation: Only Ataturk Dam shows a significant decrease in winter, with other dams displaying no significant trends, suggesting varied responses to winter conditions. Autumn and Spring: Significant trends in autumn for Birecik Dam (increase) and Karakaya Dam (decrease) contrast with mostly non-significant trends for Ataturk and Keban Dams, indicating diverse seasonal impacts.
4. Discussion
The analysis revealed several important findings regarding the adaptation of the reservoir management equation to the Euphrates–Tigris River Basin (ETRB) region. Firstly, the empirical coefficient α exhibited high variability across the 14 major dams studied, ranging from −0.017 to 0.851, deviating significantly from the initially suggested constant value of 0.5. This highlights the importance of accounting for site-specific characteristics and reservoir properties in accurately estimating streamflow releases. This variability in α emphasizes the need for a tailored approach to reservoir management, considering the unique attributes of each dam and its catchment area. Similar variability in reservoir management parameters has been observed in other studies, such as in the Colorado River Basin, where site-specific characteristics significantly influenced reservoir operations [
19] This reinforces the necessity for customized approaches in diverse hydrological settings.
Furthermore, a strong correlation was established between the surface area of the reservoirs and the optimal value of α, described by the polynomial regression equation:
α = 0.0012A− 0.043 (R
2 = 0.72). Incorporating this area-dependent α adjustment into the reservoir management equation substantially improved the predictive performance across multiple dams, as evidenced by the enhanced values of PBIAS, NSE, and R
2 metrics. These improvements suggest that spatial scaling is crucial for refining hydrological models and enhancing their accuracy in diverse environmental contexts. Other studies have also highlighted the importance of spatial scaling in improving model accuracy [
20]. This comparison underlines the universal applicability of spatial adjustments in hydrological modeling.
When applied to the four major dams of Ataturk, Birecik, Karakaya, and Keban, the adapted equation facilitated the projection of streamflow releases and subsequent hydropower generation trends for the near future (2030–2100). The results revealed distinct patterns and variations among the dams, with some exhibiting increasing trends (Birecik and Keban), others showing decreasing trends (Ataturk), and instances of trend shifts from increasing to decreasing (Karakaya) over the analyzed period. These patterns are critical for developing adaptive management strategies that can respond to changing hydrological conditions. Similar trends have been observed in other regions with complex hydrological dynamics, such as the Ganges and Yangtze River Basins, where adaptive strategies have been crucial in managing fluctuating hydropower outputs [
21].
The seasonal Mann–Kendall analysis further highlighted the influence of seasonal factors on hydropower generation, with dams experiencing significant increasing or decreasing trends during specific seasons (e.g., summer decreases for Keban, autumn decreases for Karakaya). These findings underscore the importance of considering both long-term trends and seasonal variations in water resource management and hydropower planning. Seasonal variations in hydropower generation have also been documented in studies of the Amazon and Congo River Basins, emphasizing the global relevance of incorporating seasonal factors into hydrological planning [
22].
It is crucial to address the benefit of correlating catchment area with the α parameter. The analysis revealed that incorporating area into the calibration of α significantly enhanced model performance, as evidenced by the improved PBIAS, NSE, and R
2 metrics. This approach underscores the importance of spatial scale in hydrological modeling and supports the hypothesis that larger catchments may require a higher α value to accurately simulate stream flow dynamics. The benefits of adjusting model parameters based on catchment size have been similarly observed in studies where spatial scale considerations have improved hydrological predictions [
23].
The adjusted α parameter has direct implications for dam management. An optimized α parameter, tailored to the specific catchment characteristics, can lead to more accurate predictions of dam release flows. This improved predictive capability is instrumental for dam operation, particularly in terms of flood control, water supply management, and ecological conservation. By adopting a catchment-specific α parameter, dam managers can make more informed decisions that consider the unique hydrological responses of their specific catchment, leading to enhanced operational efficiency and reduced risk of water-related hazards. Incorporating catchment-specific parameters has similarly benefited dam operations in the Mississippi and Danube River Basins, where tailored management strategies have enhanced flood control and water supply reliability [
24].
Beyond simply improving streamflow predictions, incorporating an area-adjusted α parameter holds significant power for dam management. In the realm of flood control, accurate release forecasts guided by catchment-specific α can play a vital role. By anticipating peak flood levels with greater precision, dam operators can adjust releases proactively, potentially minimizing downstream inundations and safeguarding communities. Incorporating catchment area into α calibration for river basin models led to improved predictions of peak flows, enabling more effective flood mitigation strategies [
25,
26].
Similarly, water supply management stands to benefit from the nuanced predictions facilitated by an optimized α. Understanding how catchment size influences streamflow persistence through α allows for the efficient allocation of water resources. Dam operators can balance reservoir storage with downstream demands more effectively, ensuring adequate water availability for agricultural needs, urban consumption, and industrial requirements. A study in the Ganges River Basin demonstrated that incorporating catchment area into α estimation improved irrigation water supply predictability, leading to enhanced agricultural productivity and water security [
27]. Ataturk Dam shows significant seasonal fluctuations in hydropower production, with peaks typically occurring in the spring and early summer months. This pattern suggests a reliance on snowmelt and seasonal precipitation for water inflow. The plot indicates that hydropower production can vary significantly from year to year, highlighting the impact of annual hydrological variability. For example, years with higher peak production might correspond to years with abundant snowmelt or heavy spring rains, while lower production years could reflect drier conditions. Birecik Dam, despite its smaller size compared to the others, demonstrates clear seasonality in its power generation. The variations in production levels across different months and years suggest that Birecik, too, is affected by seasonal changes in water availability. Specific numerical trends might show slight increases or decreases in peak production over the years, indicative of changing hydrological patterns or operational adjustments. Karakaya Dam exhibits pronounced seasonal variability, with hydropower production peaks likely mirroring those of Ataturk, possibly due to similar geographical and climatic influences. The data might reveal certain years where the production notably exceeds the average, possibly due to exceptional hydrological conditions. Conversely, years with below-average production highlight the dam’s sensitivity to drought or reduced rainfall/snowmelt. Keban Dam’s hydropower production also shows clear seasonality, with the highest production typically in the wetter months. The inter-annual variability is marked, with some years showing significantly higher peaks than others, which could be attributed to variations in precipitation or operational changes. The trend analysis might reveal a gradual increase or decrease in average annual production, pointing towards broader climatic trends or shifts in water management strategies. Other regions, such as the Volga and Fraser River Basins, have also demonstrated similar seasonal and annual variability in hydropower production, underscoring the influence of climatic and operational factors on energy outputs.
However, it is important to acknowledge that while catchment size significantly influences α, other factors like geology, land cover, and climate also play a role. Considering these additional factors in conjunction with catchment area remains crucial for optimal model accuracy. Additionally, limitations exist in relying solely on an area-adjusted α approach. While it demonstrably improves predictions, alternative or complementary methods, such as incorporating other catchment properties or using machine learning models, may offer further improvement potential [
28,
29,
30,
31].
Despite these limitations, the benefits of adopting a catchment-specific α parameter are substantial. By fostering informed decision-making, this approach empowers dam managers to navigate the intricate interplay of flood control, water supply, and ecological conservation, paving the way for a more sustainable and harmonious relationship between humanity and the water resources upon which we all depend. The shift from increasing to decreasing trends in some dams (notably Karakaya) suggests changing environmental or operational conditions that may affect future hydropower generation potential. The significant decreasing trend (5.5%) observed in Ataturk Dam’s generation up to 2050 warrants attention for potential mitigation strategies to counteract this trend.
Birecik and Keban Dams show resilience with slight but consistent increases in generation across both periods with an average of 2.5% and 2.2%, respectively, indicating potential stability in their hydropower output. These trends underscore the importance of planning for future water resource management and the potential impacts of climate change on hydropower generation capacities. With the lack of streamflow gauging stations in Turkey and the lack of hydropower estimation techniques, the availability of an efficient equation in determining the available hydropower is crucial for determining the part that hydropower will play in the energy supply of Turkey in the near future.
5. Conclusions
This study provides a detailed assessment of Turkey’s hydropower potential in the Euphrates–Tigris Basin, emphasizing the implications of climate change and reservoir management. The empirical coefficient α was found to vary widely among the 14 major dams, with values ranging from −0.017 to 0.851, deviating significantly from the initially suggested 0.5. By incorporating a polynomial regression equation (α = 0.0012A − 0.043, R2 = 0.72) to adjust α based on reservoir area, predictive performance improved markedly, with PBIAS reduced from 34% to 7.5% and R2 increased from 0.439 to 0.765 for the Keban Dam.
Seasonal Mann–Kendall analysis revealed significant trends in hydropower generation. The Ataturk Dam showed a notable decrease of 5.5% in hydropower generation up to 2050, while Birecik and Keban Dams exhibited increases of 2.5% and 2.2%, respectively. These trends underscore the necessity for adaptive management strategies to mitigate the impacts of climate variability. The adapted equation facilitated accurate future hydropower projections for 2024–2100, aligning closely with observed streamflow data.
The study’s findings have significant implications for dam management. Adjusting the α parameter based on reservoir area enhances the accuracy of streamflow predictions, enabling better planning and optimization of water releases. This is critical for flood control, ensuring water availability during dry periods and maintaining ecological balance. Improved predictive capabilities can guide operational decisions, reduce the risk of water-related hazards, and enhance the efficiency of hydropower generation.
Furthermore, the research highlights the importance of considering seasonal variations in water management. For instance, addressing the observed decrease in Ataturk Dam’s hydropower generation requires strategic adjustments to accommodate changing inflow patterns. Implementing these findings can lead to more resilient and sustainable water resource management, crucial for meeting Turkey’s growing energy demands and adapting to future climatic challenges. This study contributes valuable insights for optimizing reservoir operations, ensuring long-term hydropower sustainability and enhancing the resilience of water resource management systems globally.