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        <title>HESS - recent papers</title>


    <link rel="self" href="https://hess.copernicus.org/articles/"/>
    <id>https://hess.copernicus.org/articles/</id>
    <updated>2026-06-12T10:47:22+02:00</updated>
    <author>
        <name>Copernicus Publications</name>
    </author>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3575-2026</id>
            <title type="html">Decoding multicomponent hydrochemical anomalies: a synergistic detection model for earthquake forecasting
            </title>
            <link href="https://doi.org/10.5194/hess-30-3575-2026"/>
            <summary type="html">
                &lt;b&gt;Decoding multicomponent hydrochemical anomalies: a synergistic detection model for earthquake forecasting&lt;/b&gt;&lt;br&gt;
                Weiye Shao, Ying Li, Xiaocheng Zhou, Zhi Chen, Huajiao Liu, Zhaofei Liu, Chang Lu, Yuwen Wang, Zhaojun Zeng, Yun Wang, Hongyi He, and Shaohui Fan&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3575&#8211;3596, https://doi.org/10.5194/hess-30-3575-2026, 2026&lt;br&gt;
                A five-year study of hot springs at a fault intersection on the southeastern Tibetan Plateau developed an anomaly detection model that links synchronous changes in water chemistry to earthquakes with magnitude &amp;#8805;4. The model combines multiple components to improve accuracy of earthquake timing forecasting and identify reliable predictors. Stronger or closer earthquakes show more components with synchronous anomalies, providing a valuable reference for real-time forecasting in high-risk areas.
            </summary>
            <content type="html">
                &lt;b&gt;Decoding multicomponent hydrochemical anomalies: a synergistic detection model for earthquake forecasting&lt;/b&gt;&lt;br&gt;
                Weiye Shao, Ying Li, Xiaocheng Zhou, Zhi Chen, Huajiao Liu, Zhaofei Liu, Chang Lu, Yuwen Wang, Zhaojun Zeng, Yun Wang, Hongyi He, and Shaohui Fan&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3575&#8211;3596, https://doi.org/10.5194/hess-30-3575-2026, 2026&lt;br&gt;
                <p>The intersection of the Xiaojiang Fault and the Red River Fault at the southeastern margin of the Tibetan Plateau experiences intense tectonic activity, where repeated earthquakes cause variations in thermal spring hydrochemistry. This study applies Bayesian change point analysis and develops a multicomponent synergistic anomaly detection model, using monitoring data from the Qujiang (5 years, 2019&amp;#8211;2024) and Wana (2.5 years, 2021&amp;#8211;2024) springs in this region to facilitate the real-time forecasting of the timing for <span class="inline-formula"><i>M</i>&amp;#8805;4</span&gt; earthquakes. A 45-day response time threshold is established as the optimal period for capturing hydrochemical precursors in this region. With parameters optimized for individual components based on their distinct geochemical responses to seismic stress, the model features adaptive alarm criteria that ensure reliable real-time detection and enhanced adaptability. At the Qujiang site, the model achieved 21 effective alarms for 22 earthquake events with 1 miss and 8 false alarms, yielding a probability of detection (POD) of 0.95 and a threat score (TS) of 0.70. At the Wana site, the model generated 10 accurate alarms for 12 events with 2 misses and 5 false alarms, resulting in a POD of 0.83 and a TS of 0.59. The model identified pre-earthquake anomalies in Na<span class="inline-formula"><sup>+</sup></span>, Ca<span class="inline-formula"><sup>2+</sup></span>, Cl<span class="inline-formula"><sup>&amp;#8722;</sup></span>, SO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M5" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mrow><mn mathvariant="normal">2</mn><mo>-</mo></mrow></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="13pt" height="17pt" class="svg-formula" dspmath="mathimg" md5hash="277c1427ed297c2e5c45f7f988764cfe"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3575-2026-ie00001.svg" width="13pt" height="17pt" src="hess-30-3575-2026-ie00001.png"/></svg:svg></span></span>, <span class="inline-formula"><i>&amp;#948;</i></span>D, and <span class="inline-formula"><i>&amp;#948;</i><sup>18</sup></span>O, with TS&amp;#8201;<span class="inline-formula">&amp;#8805;0.50</span>. These components can serve as sensitive indicators for strong earthquake forecasting. The multicomponent synergistic alarm mechanism overcomes the limitations of single-parameter methods, where the number of hydrochemical components with synchronous anomalies serves as a reliable criterion for forecasting. A higher count of anomalous components typically correlates with larger earthquake magnitudes or shorter epicentral distances. This model has the potential to be applied to thermal spring monitoring across diverse active tectonic regions through targeted parameter optimisation, offering a valuable reference for earthquake forecasting.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-12T10:47:22+02:00</published>
            <updated>2026-06-12T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3549-2026</id>
            <title type="html">Multi-site learning for hydrological uncertainty prediction: the case of quantile random forests
            </title>
            <link href="https://doi.org/10.5194/hess-30-3549-2026"/>
            <summary type="html">
                &lt;b&gt;Multi-site learning for hydrological uncertainty prediction: the case of quantile random forests&lt;/b&gt;&lt;br&gt;
                Taha-Abderrahman El Ouahabi, François Bourgin, Charles Perrin, and Vazken Andréassian&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3549&#8211;3574, https://doi.org/10.5194/hess-30-3549-2026, 2026&lt;br&gt;
                To improve hydrological uncertainty estimation, recent studies have explored machine learning (ML)-based post-processing approaches. Among these, quantile random forests (QRF) are increasingly used for their balance between interpretability and performance. We develop a hydrologically informed QRF trained in a multi-site setting. Our results show that the regional QRF approach is beneficial, particularly in catchments where local information is insufficient.
            </summary>
            <content type="html">
                &lt;b&gt;Multi-site learning for hydrological uncertainty prediction: the case of quantile random forests&lt;/b&gt;&lt;br&gt;
                Taha-Abderrahman El Ouahabi, François Bourgin, Charles Perrin, and Vazken Andréassian&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3549&#8211;3574, https://doi.org/10.5194/hess-30-3549-2026, 2026&lt;br&gt;
                <p>To improve hydrological uncertainty estimation, recent studies have explored machine learning (ML)-based post-processing approaches that enable both enhanced predictive performance and hydrologically informed probabilistic streamflow predictions. Among these, random forests (RF) and their probabilistic extension, quantile random forests (QRF), are increasingly used for their balance between interpretability and performance. However, the application of QRF in regional post-processing settings remains unexplored. In this study, we develop a hydrologically informed QRF post-processor trained in a multi-site setting and compare its performance against a locally (at-site) trained QRF using probabilistic evaluation metrics. The QRF framework leverages simulations and state variables from the GR6J process-based hydrological model, along with readily available catchment descriptors, to predict daily streamflow uncertainty. Our results show that the regional QRF approach is beneficial for hydrological uncertainty estimation, particularly in catchments where local information is insufficient. The findings highlight that multi-site learning enables effective information transfer across hydrologically similar catchments and is especially advantageous for high-flow events. However, the selection of appropriate catchment descriptors is critical to achieving these benefits.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-12T10:47:22+02:00</published>
            <updated>2026-06-12T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3497-2026</id>
            <title type="html">Testing discharge assimilation strategies to enhance short-range AI-based operational rainfall&#8211;runoff forecasts
            </title>
            <link href="https://doi.org/10.5194/hess-30-3497-2026"/>
            <summary type="html">
                &lt;b&gt;Testing discharge assimilation strategies to enhance short-range AI-based operational rainfall–runoff forecasts&lt;/b&gt;&lt;br&gt;
                Bob E. Saint-Fleur, Eric Gaume, Florian Surmont, Nicolas Akil, and Dominique Theriez&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3497&#8211;3527, https://doi.org/10.5194/hess-30-3497-2026, 2026&lt;br&gt;
                <span data-olk-copy-source="MessageBody">This paper highlights the importance of discharge assimilation (DA) for artificial intelligence (AI)-based operational discharge forecasting. Using two public datasets from France and the USA, simulated discharge from two rainfall-runoff models, and a multilayer perceptron for implementation, we evaluate three DA strategies under both deterministic and probabilistic forecasting approaches. Results show that DA is crucial and that model performance may decrease between the two forecasting cases.</span>
            </summary>
            <content type="html">
                &lt;b&gt;Testing discharge assimilation strategies to enhance short-range AI-based operational rainfall–runoff forecasts&lt;/b&gt;&lt;br&gt;
                Bob E. Saint-Fleur, Eric Gaume, Florian Surmont, Nicolas Akil, and Dominique Theriez&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3497&#8211;3527, https://doi.org/10.5194/hess-30-3497-2026, 2026&lt;br&gt;
                <p>Effective discharge forecasts are essential in operational hydrology. The accuracy of such forecasts, particularly in short lead times, is generally increased through the integration of recent measurements of observed discharge; commonly known as discharge assimilation&amp;#160;(DA). Recent studies have demonstrated the effectiveness of deep learning&amp;#160;(DL) approaches for rainfall&amp;#8211;runoff&amp;#160;(RR) modeling, particularly Long Short-Term Memory&amp;#160;(LSTM) networks,  outperforming traditional approaches. However, most of these studies do not include DA&amp;#160;procedures, which may limit their operational forecast performance. This study suggests and evaluates three DA strategies that incorporate discharge from either recent discharge measurements or forecasts from a pre-trained rainfall&amp;#8211;runoff model. The proposed strategies, based on a Multilayer Perceptron&amp;#160;(MLP) as orchestrator, include: (1)&amp;#160;the integration of recently observed discharges, (2)&amp;#160;the integration of both recent discharge observations and pre-trained model forecasts, and (3)&amp;#160;the post-processing of model forecast errors. Experiments are implemented using two large datasets, CAMELS-US and CAMELS-FR, and two established benchmark models&amp;#160;(BM): the trained LSTM model from Kratzert et al.&amp;#160;(2019) and the conceptual Sacramento Soil Moisture Accounting&amp;#160;(SAC-SMA) model from Newman et al.&amp;#160;(2017), covering both deep learning and conceptual RR simulation approaches. The considered lead times range from 1&amp;#160;to 7&amp;#8201;d, covering both short- and mid-term horizons. The approaches are evaluated within two forecast frameworks: (1)&amp;#160;perfect meteorological forecasts over the forecasting lead time and (2)&amp;#160;ensemble meteorological forecasts. The two frameworks yield contrasting outcomes. When evaluated under the perfect forecast framework, the application of DA&amp;#160;leads to substantial improvements in forecast performance, although the magnitude of these gains depends on the initial performance of the benchmark models and the forecasting lead time. Improvements are consistently significant for the SAC-SMA cases, while for the LSTM cases, gains are observed mainly for basins where the LSTM initially underperforms. However, the ensemble forecast evaluation yields unexpected results: the performance ranking of the tested models changes markedly compared to the perfect forecast framework. The LSTM model, in particular, appears penalized by the under-dispersion of its forecast ensembles. Although this underdispersion could be partly attributable to the underdispersion of the forecast archives tested, it persists even when the model is driven by the high spread climatology-based ensemble. This finding underscores the importance of ensuring reliable ensemble dispersion for the efficient operational deployment of AI-based hydrological forecasts.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-11T10:47:22+02:00</published>
            <updated>2026-06-11T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3529-2026</id>
            <title type="html">Projections of future hydrological drought in a reservoir-regulated region: the roles of climate change and reservoir operation
            </title>
            <link href="https://doi.org/10.5194/hess-30-3529-2026"/>
            <summary type="html">
                &lt;b&gt;Projections of future hydrological drought in a reservoir-regulated region: the roles of climate change and reservoir operation&lt;/b&gt;&lt;br&gt;
                Shaokun He, Sirui Sun, Yanghe Liu, Kebing Chen, Lingling Zhu, and Yu Gong&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3529&#8211;3547, https://doi.org/10.5194/hess-30-3529-2026, 2026&lt;br&gt;
                Climate change and human activities jointly shape river droughts, yet their combined impacts remain uncertain. We pair a data-driven river model with scenario-based climate projections to assess future water shortages in China&amp;#8217;s Upper Hanjiang River. We also evaluate improved reservoir operating rules. Results show rising risk of prolonged drought, while refined reservoir operations ease short events but cannot offset long-term deficits, informing resilient water-energy planning.
            </summary>
            <content type="html">
                &lt;b&gt;Projections of future hydrological drought in a reservoir-regulated region: the roles of climate change and reservoir operation&lt;/b&gt;&lt;br&gt;
                Shaokun He, Sirui Sun, Yanghe Liu, Kebing Chen, Lingling Zhu, and Yu Gong&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3529&#8211;3547, https://doi.org/10.5194/hess-30-3529-2026, 2026&lt;br&gt;
                <p>Future hydrological droughts in reservoir-regulated regions remain uncertain due to the complex interactions between climate change and reservoir operation. Existing studies usually rely on simplified empirical representations of historical reservoir operations and rarely consider the role of optimal reservoir operation policies. Here, we used the upper Hanjiang River basin (UHRB) in China as a case study to project its future hydrological drought evolution using standard streamflow indices (i.e., SSI-1, SSI-3, and SSI-12) and to quantify the roles of climate change and reservoir operation. A long short-term memory (LSTM)-based hydrological model, coupled with a physics-informed LSTM reservoir model, was developed and driven by bias-corrected climate outputs from five global climate models to project future drought conditions under three scenarios (SSP126, SSP370, and SSP585). The results indicate that future climate change over the UHRB is projected to reduce natural streamflow and exacerbate hydrological droughts, with the most severe impacts projected in the far-future period (2071&amp;#8211;2100) under SSP585. The traditional Ankang Reservoir operation reduces the frequency, duration and severity of short-term hydrological droughts (SSI-1 and SSI-3) under all scenarios, but shows limited effectiveness for long-term droughts (SSI-12). Importantly, optimal reservoir operating policies that aim to maximize hydropower generation and power generation guarantee rate reveal clear trade-offs between hydrological drought risk and hydropower benefits, thereby underscoring the importance of enhancing reservoir operation strategies for future drought management in reservoir-regulated basins.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-11T10:47:22+02:00</published>
            <updated>2026-06-11T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3455-2026</id>
            <title type="html">Cause-effect discovery in hydrometeorological systems: evaluation of causal discovery methods
            </title>
            <link href="https://doi.org/10.5194/hess-30-3455-2026"/>
            <summary type="html">
                &lt;b&gt;Cause-effect discovery in hydrometeorological systems: evaluation of causal discovery methods&lt;/b&gt;&lt;br&gt;
                Vivek Kumar Yadav, Murray C. Peel, Keirnan Fowler, Dongryeol Ryu, and Bramha Dutt Vishwakarma&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3455&#8211;3496, https://doi.org/10.5194/hess-30-3455-2026, 2026&lt;br&gt;
                Identifying drivers is crucial for process understanding and predictions. In Hydrometeorological systems, many variables are closely related, and common methods often rely on correlation. We describe theoretically distinct methods of discovering cause-effect relations from data. We evaluate them in a large simulated environment. Results show that finding cause-effect relations provides a parsimonious picture and to obtain robust predictions, especially under changing environmental conditions.
            </summary>
            <content type="html">
                &lt;b&gt;Cause-effect discovery in hydrometeorological systems: evaluation of causal discovery methods&lt;/b&gt;&lt;br&gt;
                Vivek Kumar Yadav, Murray C. Peel, Keirnan Fowler, Dongryeol Ryu, and Bramha Dutt Vishwakarma&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3455&#8211;3496, https://doi.org/10.5194/hess-30-3455-2026, 2026&lt;br&gt;
                <p>Identifying the driver(s) of a process or phenomenon is central to understanding and predicting its future state. In complex hydrometeorological systems, a process can have multiple drivers dynamically coupled to the system across timescales. Thus, a robust method to identify drivers is imperative. In hydrological sciences, methods like multivariate regression and, more recently, Big Data machine-learning approaches rely on finding a <i>co</i>-relation between variables, rather than identifying cause-effect relations. This study evaluates cause-effect discovery (Causal Discovery or CD) algorithms in hydrometeorological systems. Although earlier studies have made important contributions to exploring CD methods, they have primarily focused on bivariate methods in simple synthetic environments. Specifically, we evaluate the following four theoretically distinct multivariate CD algorithms, (i)&amp;#160;TCDF, (ii)&amp;#160;VARLiNGAM, (iii)&amp;#160;PCMCI+, and (iv)&amp;#160;DYNOTEARS. We evaluate these algorithms within a large, complex simulated environment of the Global Land Data Assimilation System (GLDAS) where the drivers, reference truth, are known perfectly. We evaluate the drivers identified by CD methods against this reference truth and also contrast its results with the widely used method of <i>co</i>-relation identification, Pearson&amp;#8217;s Correlation Coefficient (PCC). The results show that CD methods identify fewer false drivers compared to PCC, across a range of K&amp;#246;ppen-Geiger climate types. For example, PCC failed to distinguish true drivers from instantaneous and lagged cross-correlations, typically present in hydrometeorological systems. Whereas, CD methods eliminate a higher number of false instantaneous and lagged drivers. Thus, though PCC identifies the highest number of true drivers, it suffers from high false drivers. Overall, CD methods perform similar to or better than PCC, while PCMCI+ and DYNOTEARS performed the best. Further, we test whether time-series prediction models perform better when predictors are limited to those identified as causal by CD methods. Evaluation of surface soil moisture predictions during drought shows that CD-based models outperform PCC-based models and are more parsimonious. Thus, we demonstrate the effectiveness of using causal discovery to eliminate spurious relations and obtain a robust set of drivers for prediction and process understanding across different climate conditions. This study overviews, demonstrates and tests efficacy of CD methods in studying cause-effect relations in hydrometeorological systems. By exposing their capabilities and differences in a simulated environment, we hope to encourage their use in the real world and move beyond <i>co</i>-relation.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-05T10:47:22+02:00</published>
            <updated>2026-06-05T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3439-2026</id>
            <title type="html">Technical note: Benchmarking large-domain model performance under sampling uncertainty
            </title>
            <link href="https://doi.org/10.5194/hess-30-3439-2026"/>
            <summary type="html">
                &lt;b&gt;Technical note: Benchmarking large-domain model performance under sampling uncertainty&lt;/b&gt;&lt;br&gt;
                Gaby J. Gründemann, Wouter J. M. Knoben, Yalan Song, Katie van Werkhoven, and Martyn P. Clark&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3439&#8211;3453, https://doi.org/10.5194/hess-30-3439-2026, 2026&lt;br&gt;
                The quality of large-domain hydrologic model simulations is often quantified with so-called accuracy metrics. Here we use simple benchmarks to provide relevant context for these accuracy metrics. Results show that areas where the model cannot beat the benchmarks do not always align with areas where the accuracy metrics are low. This suggests that model improvements are possible in regions that under more typical model evaluation approaches (i.e., without benchmarks) might not be obvious.
            </summary>
            <content type="html">
                &lt;b&gt;Technical note: Benchmarking large-domain model performance under sampling uncertainty&lt;/b&gt;&lt;br&gt;
                Gaby J. Gründemann, Wouter J. M. Knoben, Yalan Song, Katie van Werkhoven, and Martyn P. Clark&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3439&#8211;3453, https://doi.org/10.5194/hess-30-3439-2026, 2026&lt;br&gt;
                <p>Large-domain hydrologic modeling studies are becoming increasingly common. The evaluation of the resulting models is however often limited to the use of aggregated performance scores that show where model accuracy is higher and lower. Moreover, the inherent uncertainty in such scores (i.e., the sampling uncertainty), stemming from the choice of time periods used for their calculation, often remains unaccounted for. Here we use a collection of simple benchmarks whilst accounting for this sampling uncertainty to provide context for the performance scores of a large-domain hydrologic model. These benchmarks are simple ways of predicting the variable of interest and include, for example, the long-term daily mean flow, daily precipitation scaled by the average rainfall-runoff ratio, and a basic 2-parameter model that represents a catchment's diffusive response to precipitation inputs. Our test case consists of simulations from the National Water Model v3.0 for approximately 4900 basins across the United States. The benchmarks suggest that there are considerable constraints on the model's performance in approximately one-third of the basins used for model calibration and in approximately half of the basins where model parameters are regionalized. Sampling uncertainty has limited impact: in most basins the model is either clearly better or worse than the benchmarks, though numerous cases remain where sampling uncertainty makes it difficult to clearly distinguish between model and benchmark performance. The areas where the benchmarks outperform the model only partially overlap with areas where the model achieves lower performance scores, and this suggests that improvements may be possible in more regions than a first glance at model performance values may indicate. A key advantage of using these benchmarks is that they are easy and fast to compute, particularly compared to the cost of configuring and running the model. This makes benchmarking a valuable tool that can complement more detailed model evaluation techniques by quickly identifying areas that should be investigated more thoroughly.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-05T10:47:22+02:00</published>
            <updated>2026-06-05T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3399-2026</id>
            <title type="html">Comprehensive Global Assessment of 24 Gridded Precipitation Datasets Across 18&#8201;428 Catchments Using Hydrological Modeling
            </title>
            <link href="https://doi.org/10.5194/hess-30-3399-2026"/>
            <summary type="html">
                &lt;b&gt;Comprehensive Global Assessment of 24 Gridded Precipitation Datasets Across 18 428 Catchments Using Hydrological Modeling&lt;/b&gt;&lt;br&gt;
                Ather Abbas, Yuan Yang, Ming Pan, Yves Tramblay, Chaopeng Shen, Haoyu Ji, Solomon H. Gebrechorkos, Florian Pappenberger, JongCheol Pyo, Dapeng Feng, George Huffman, Phu Nguyen, Christian Massari, Luca Brocca, Jackson Tan, and Hylke E. Beck&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3399&#8211;3423, https://doi.org/10.5194/hess-30-3399-2026, 2026&lt;br&gt;
                Our study evaluated 24 precipitation datasets using a hydrological model at global scale to assess their suitability and accuracy. We found that MSWEP (Multi-Source Weighted-Ensemble Precipitation) V2.8 excels due to its ability to integrate data from multiple sources, while others, such as IMERG (Integrated Multi-satellitE Retrievals for Global Precipitation Mission) and GDAS (Global Data Assimilation System), demonstrated strong regional performances. This research assists in selecting the appropriate dataset for applications in water resource management, hazard assessment, agriculture, and environmental monitoring.
            </summary>
            <content type="html">
                &lt;b&gt;Comprehensive Global Assessment of 24 Gridded Precipitation Datasets Across 18 428 Catchments Using Hydrological Modeling&lt;/b&gt;&lt;br&gt;
                Ather Abbas, Yuan Yang, Ming Pan, Yves Tramblay, Chaopeng Shen, Haoyu Ji, Solomon H. Gebrechorkos, Florian Pappenberger, JongCheol Pyo, Dapeng Feng, George Huffman, Phu Nguyen, Christian Massari, Luca Brocca, Jackson Tan, and Hylke E. Beck&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3399&#8211;3423, https://doi.org/10.5194/hess-30-3399-2026, 2026&lt;br&gt;
                <p>Numerous gridded precipitation (<span class="inline-formula"><i>P</i></span>) datasets have been developed to address a variety of needs and challenges. However, selecting the most suitable and reliable dataset remains difficult for users. We conducted the most comprehensive global evaluation to date of gridded (sub-)daily <span class="inline-formula"><i>P</i></span&gt; datasets using hydrological modeling. A total of 24 datasets &amp;#8211; derived from satellite, (re)analysis, gauge sources, or combinations thereof &amp;#8211; were assessed. To evaluate their performance, we calibrated the conceptual hydrological model HBV against observed daily streamflow for 18&amp;#8201;428 catchments (each <span class="inline-formula"><10&amp;#8201;000&amp;#8201;km<sup>2</sup></span>) worldwide, using each <span class="inline-formula"><i>P</i></span&gt; dataset as input. The Kling-Gupta Efficiency (KGE) was used as performance metric, with the calibration score serving as proxy for <span class="inline-formula"><i>P</i></span&gt; dataset performance. Overall, Multi-Source Weighted-Ensemble Precipitation (MSWEP) V2.8 demonstrated the best performance (median KGE of 0.78), highlighting the value of merging <span class="inline-formula"><i>P</i></span&gt; estimates from diverse data sources and applying daily gauge corrections. Among the purely satellite-based <span class="inline-formula"><i>P</i></span&gt; datasets, the soil moisture- and microwave-based Global Precipitation Mission plus Soil Moisture to RAIN (GPM&amp;#8201;<span class="inline-formula">+</span>&amp;#8201;SM2RAIN) dataset performed best (median KGE of 0.64). The Global Data Assimilation System (GDAS) analysis ranked highest among the (re)analyses (median KGE of 0.72), slightly outperforming the widely used European Centre for Medium-range Weather Forecasts ReAnalysis&amp;#160;5 (ERA5; median KGE of 0.71). Performance varied across K&amp;#246;ppen-Geiger climate zones, with the highest scores in polar (E) regions (median KGE of 0.76 across datasets) and the lowest in arid (B) regions (median KGE of 0.53 across datasets). Spatial correlation analysis between catchment attributes and KGE scores identified aridity index, potential evaporation, and <span class="inline-formula"><i>P</i></span&gt; occurrence as the strongest predictors of performance. Our assessment revealed significant regional differences in dataset performance and error characteristics, emphasizing the importance of careful dataset<span id="page3400"/&gt; selection for water resource management, hazard assessment, agricultural planning, and environmental monitoring.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-03T10:47:22+02:00</published>
            <updated>2026-06-03T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3425-2026</id>
            <title type="html">Symbolic regression-based regionalization of baseflow separation parameter using catchment-scale characteristics
            </title>
            <link href="https://doi.org/10.5194/hess-30-3425-2026"/>
            <summary type="html">
                &lt;b&gt;Symbolic regression-based regionalization of baseflow separation parameter using catchment-scale characteristics&lt;/b&gt;&lt;br&gt;
                Yongen Lin, Dagang Wang, Yiwen Mei, Jinxin Zhu, Huan Wu, Shuo Wang, Zhonghou Xu, Asaad Y. Shamseldin, and Emmanouil N. Anagnostou&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3425&#8211;3438, https://doi.org/10.5194/hess-30-3425-2026, 2026&lt;br&gt;
                Understanding how baseflow contributes to river flow is essential for managing water resources. We studied a widely used method for separating baseflow and found that a key parameter was often estimated too simply. Using symbolic regression and data from 855 catchments, we uncovered new formulas that greatly improve accuracy and reveal how soil, snow, and catchment size jointly influence baseflow estimation.
            </summary>
            <content type="html">
                &lt;b&gt;Symbolic regression-based regionalization of baseflow separation parameter using catchment-scale characteristics&lt;/b&gt;&lt;br&gt;
                Yongen Lin, Dagang Wang, Yiwen Mei, Jinxin Zhu, Huan Wu, Shuo Wang, Zhonghou Xu, Asaad Y. Shamseldin, and Emmanouil N. Anagnostou&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3425&#8211;3438, https://doi.org/10.5194/hess-30-3425-2026, 2026&lt;br&gt;
                <p>Accurate separation of baseflow from streamflow is of utmost importance for understanding catchment hydrological processes and supporting effective water resource management. The Smooth Minima Method is a common baseflow separation technique with a segment length parameter (<span class="inline-formula"><i>N</i></span>) representing the catchment average flow event duration. <span class="inline-formula"><i>N</i></span&gt; is usually predicted by a power function with catchment area or defaults to 5&amp;#8201;d. Yet these estimations are insufficient given the multivariate nature of <span class="inline-formula"><i>N</i></span&gt; with other catchment attributes. In this study, we employ symbolic regression (SR) to search for possible formulation of <span class="inline-formula"><i>N</i></span&gt; with a range of catchment attributes based on 855 catchments across the Contiguous United States. We ultimately identify three mathematical expressions of increasing complexity, achieving <span class="inline-formula"><i>R</i><sup>2</sup></span&gt; values of 0.48, 0.52, and 0.55, compared to 0.23 and <span class="inline-formula">&amp;#8722;</span>0.84 for the power function and constant values. The three expressions reveal that <span class="inline-formula"><i>N</i></span&gt; increases following a power-law relationship with catchment area (<span class="inline-formula"><i>A</i></span>) and catchment-averaged soil saturated hydraulic conductivity (<span class="inline-formula"><i>K</i><sub>sat</sub></span>) with decreasing rates, while it increases linearly with snow day fraction (<span class="inline-formula"><i>f</i><sub>SWE</sub></span>). The effects of <span class="inline-formula"><i>K</i><sub>sat</sub></span&gt; and <span class="inline-formula"><i>f</i><sub>SWE</sub></span&gt; on <span class="inline-formula"><i>N</i></span&gt; are particularly pronounced for larger values (<span class="inline-formula"><i>K</i><sub>sat</sub>&amp;#8201;>&amp;#8201;25</span>&amp;#8201;mm&amp;#8201;h<span class="inline-formula"><sup>&amp;#8722;1</sup></span&gt; and <span class="inline-formula"><i>f</i><sub>SWE</sub>&amp;#8201;>&amp;#8201;0.4</span>) and smaller area (<span class="inline-formula"><i>A</i>&amp;#8201;<&amp;#8201;100</span>&amp;#8201;km<span class="inline-formula"><sup>2</sup></span>). The different calculations of <span class="inline-formula"><i>N</i></span&gt; are also evaluated in baseflow separation, revealing higher medians of Kling-Gupta Efficiency of at least 0.84, outperforming the literature-suggested formulas for a maximum increment of 0.22. This study highlights the potential of SR for uncovering physically meaningful formulas in optimal baseflow separation.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-03T10:47:22+02:00</published>
            <updated>2026-06-03T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3367-2026</id>
            <title type="html">Long-term hydro-sedimentary dynamics of the Ucayali River (Amazon Basin) revealed through combined observations,  remote sensing, and SWAT-Amazon modelling
            </title>
            <link href="https://doi.org/10.5194/hess-30-3367-2026"/>
            <summary type="html">
                &lt;b&gt;Long-term hydro-sedimentary dynamics of the Ucayali River (Amazon Basin) revealed through combined observations,  remote sensing, and SWAT-Amazon modelling&lt;/b&gt;&lt;br&gt;
                William Santini, Alexandre Delort-Ylla, Waldo Lavado-Casimiro, Benoît Camenen, Joana Roussillon, Jhonatan Jr. Pérez Arévalo, Jorge Molina-Carpio, and Jean Michel Martinez&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3367&#8211;3397, https://doi.org/10.5194/hess-30-3367-2026, 2026&lt;br&gt;
                The Ucayali River is the major Andean conveyor of sediment to the Amazon. By combining field measurements, satellite data and modelling over decades, we show that floodplains trap 36% of this sediment while recycling 22% back into the river during flood recession. During high waters, flooding reduces the river's capacity to carry sand, capturing 14% at peak discharge. These findings show that floodplains act as dynamic regulators of sediment transport in large tropical rivers.
            </summary>
            <content type="html">
                &lt;b&gt;Long-term hydro-sedimentary dynamics of the Ucayali River (Amazon Basin) revealed through combined observations,  remote sensing, and SWAT-Amazon modelling&lt;/b&gt;&lt;br&gt;
                William Santini, Alexandre Delort-Ylla, Waldo Lavado-Casimiro, Benoît Camenen, Joana Roussillon, Jhonatan Jr. Pérez Arévalo, Jorge Molina-Carpio, and Jean Michel Martinez&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3367&#8211;3397, https://doi.org/10.5194/hess-30-3367-2026, 2026&lt;br&gt;
                <p>The Amazon basin is undergoing increasing environmental changes, potentially approaching a climatic tipping point in the coming decades. Understanding how these changes affect water and sediment fluxes is key for constraining large-scale biogeochemical cycles, yet conventional hydrological networks lack the spatial and temporal resolution required to accurately quantify hydro-sedimentary budgets.</p&gt;        <p>To address this limitation, we develop an integrated, physically constrained framework combining long-term observations, remote sensing, and hydrological&amp;#8211;hydraulic modelling (SWAT-Amazon) to quantify multi-decadal hydro-sedimentary budgets and investigate how floodplain inundation controls sediment dynamics in large Amazonian rivers. Focusing on the Ucayali River, a major foreland tributary of the Amazon, this study provides the first detailed, long-term hydro-sedimentary budgets for the Upper Amazon, distinguishing fine sediment fluxes from sand loads.</p&gt;        <p>Results reveal a previously undocumented floodplain-controlled sand sedimentation process: during high waters, large floodplain water storage (up to 19.1 [15.3, 22.9]&amp;#8201;km<span class="inline-formula"><sup>3</sup></span>, <span class="inline-formula">&amp;#8764;</span>&amp;#8201;38&amp;#8201;% of discharge) reduces main-channel transport capacity, capturing up to 14&amp;#8201;% [10&amp;#8201;%, 20&amp;#8201;%] of the sand flux at peak discharge, while recycling during recession contributes 22&amp;#8201;% of the total suspended load at the basin outlet. This dual control partially decouples sediment transport from water discharge. The Andean Ucayali exports 455 [410, 500]&amp;#8201;<span class="inline-formula">&amp;#215;</span>&amp;#8201;10<span class="inline-formula"><sup>6</sup></span>&amp;#8201;t&amp;#8201;yr<span class="inline-formula"><sup>&amp;#8722;1</sup></span&gt; of suspended sediment (40&amp;#8201;% sand), of which 36&amp;#8201;% is trapped within the floodplain, predominantly as sand (65&amp;#8201;% of total deposition). The river delivers 290&amp;#160;[235,&amp;#160;345]&amp;#8201;<span class="inline-formula">&amp;#215;</span>&amp;#8201;10<span class="inline-formula"><sup>6</sup></span>&amp;#8201;t&amp;#8201;yr<span class="inline-formula"><sup>&amp;#8722;1</sup></span&gt; to the Amazon River (26&amp;#8201;% sand), making it the dominant sediment source among the Andean foreland tributaries. Uncertainty analysis combining Sobol indices and GLUE simulations shows that, despite substantial equifinality among secondary floodplain parameters, sediment fluxes and associated trapping and recycling fractions remain stable across all behavioural simulations. Budget accuracy is therefore controlled by long-term, multi-variable, multi-source observations rather than by parameter calibration or model structure alone.</p&gt;        <p>These findings demonstrate that floodplains control hydro-sedimentary fluxes in large river systems and act as dynamic regulators of sediment transport, storage, and recycling, with major implications for biogeochemical cycles.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-02T10:47:22+02:00</published>
            <updated>2026-06-02T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3351-2026</id>
            <title type="html">Regulatory role of permanent gullies in dissolved nitrogen and phosphorus transport under different rainfall types
            </title>
            <link href="https://doi.org/10.5194/hess-30-3351-2026"/>
            <summary type="html">
                &lt;b&gt;Regulatory role of permanent gullies in dissolved nitrogen and phosphorus transport under different rainfall types&lt;/b&gt;&lt;br&gt;
                Zhuoxin Chen, Mingming Guo, Lixin Wang, Xin Liu, Jinshi Jian, Qiang Chen, and Xingyi Zhang&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3351&#8211;3366, https://doi.org/10.5194/hess-30-3351-2026, 2026&lt;br&gt;
                We examined how permanent gully in farmland regulate the transport of runoff and dissolved nitrogen and phosphorus during natural rainfall. Measurements at both the gully head and the outlet showed that the gully facilitates runoff production, yet diluted nutrient concentrations. High-erosivity storms triggered disproportionately large nutrient losses and markedly altered the gully&amp;#8217;s contribution. These findings provide insights for improving nutrient management in gully-dominated landscapes.
            </summary>
            <content type="html">
                &lt;b&gt;Regulatory role of permanent gullies in dissolved nitrogen and phosphorus transport under different rainfall types&lt;/b&gt;&lt;br&gt;
                Zhuoxin Chen, Mingming Guo, Lixin Wang, Xin Liu, Jinshi Jian, Qiang Chen, and Xingyi Zhang&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3351&#8211;3366, https://doi.org/10.5194/hess-30-3351-2026, 2026&lt;br&gt;
                <p>Understanding how permanent gullies regulate the transport of dissolved ammonium (NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M1" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="9e82b08d319a1c899f60c89d4a61df91"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00001.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00001.png"/></svg:svg></span></span>), nitrate (NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M2" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="53e1f98be2cdf70dbe180d95894fc6b5"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00002.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00002.png"/></svg:svg></span></span>), and phosphorus (P) in runoff delivered from agricultural hillslopes under different rainfall types is essential for controlling non-point source pollution in agroecosystems. In this study, we selected two agricultural catchments, each containing a single permanent gully, and monitored runoff at the gully head and the gully outlet during the rainy seasons of 2022 and 2023. Runoff samples were filtered through 0.45&amp;#8201;<span class="inline-formula">&amp;#181;</span>m membrane filters and analyzed for dissolved NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M4" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="310866e2e55ea172cf2d52bb7208ba35"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00003.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00003.png"/></svg:svg></span></span>, NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M5" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="8c72af1edd6d67ed562efcaf5163d22b"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00004.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00004.png"/></svg:svg></span></span>, and P concentrations, and the corresponding nutrient transport fluxes were then calculated. Based on event-scale rainfall characteristics, including rainfall depth, duration, average intensity, maximum 30&amp;#8201;min intensity, and erosivity, rainfall events were classified using the k-means method to examine how different rainfall types influenced the role of gullies in the transport of dissolved NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M6" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="3fe22ea21bb8c3940d1d54b092ea883d"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00005.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00005.png"/></svg:svg></span></span>, NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M7" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="76bbd0535ad9c3e987722e2e722d5d00"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00006.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00006.png"/></svg:svg></span></span>, and P. The results showed that: (1) Gullies significantly enhanced runoff generation, contributing 36.1&amp;#8201;% of total runoff despite occupying only 12.4&amp;#8201;% of the catchment area. This contribution varied across rainfall types (Type A: frequent, low-depth, low-erosivity; Type B: short-duration, high-intensity; Type C: long-duration, high-erosivity) and was highest under Type A (43.2&amp;#8201;%) and lowest under Type C (33.8&amp;#8201;%). (2) Gullies exerted a pronounced dilution effect on dissolved NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M8" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="a9b2fdba183dceff94210c316afa95ef"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00007.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00007.png"/></svg:svg></span></span>, NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M9" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="1933cd4f78557ae19e1c84fa4d0b5473"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00008.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00008.png"/></svg:svg></span></span>, and P concentrations, particularly on dissolved NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M10" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="78ed0f7e81615226176402cdd6a1afd5"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00009.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00009.png"/></svg:svg></span></span&gt; (dilution ratio: 0.65). Consequently, the contribution of gullies to dissolved NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M11" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="c16db94ee77df9d9025be9e40133cdd3"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00010.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00010.png"/></svg:svg></span></span>, NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M12" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="ee54bb0fff66afdafaf51bed1fde360d"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00011.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00011.png"/></svg:svg></span></span>, and P transport fluxes was lower than that to runoff volume, accounting for 31.4&amp;#8201;%, 22.4&amp;#8201;%, and 31.1&amp;#8201;% of dissolved NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M13" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="f1ca5762abf079d28af10bf21d382d4c"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00012.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00012.png"/></svg:svg></span></span>, NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M14" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="ad57fe4a8dcf7ebabf2d1e48d90b5292"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00013.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00013.png"/></svg:svg></span></span>, and P transport fluxes at the outlet, respectively. (3) Type C rainfall dominated the transport of dissolved NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M15" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="179d4486fd0f0074393e5bee36e2006c"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00014.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00014.png"/></svg:svg></span></span>, NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M16" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="06954914259a113e7faaa0d01a8ee756"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00015.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00015.png"/></svg:svg></span></span>, and P. Only 10.2&amp;#8201;% of events contributed over 68&amp;#8201;% of dissolved NH<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M17" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">4</mn><mo>+</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="7a9d0a134afd555072773f53a2a6be41"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00016.svg" width="8pt" height="15pt" src="hess-30-3351-2026-ie00016.png"/></svg:svg></span></span>, NO<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M18" display="inline" overflow="scroll" dspmath="mathml"><mrow><msubsup><mi/><mn mathvariant="normal">3</mn><mo>-</mo></msubsup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="9pt" height="16pt" class="svg-formula" dspmath="mathimg" md5hash="2a83a52cafded6cc529076279999d0cd"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3351-2026-ie00017.svg" width="9pt" height="16pt" src="hess-30-3351-2026-ie00017.png"/></svg:svg></span></span>, and P transport fluxes at the catchment scale and markedly increased their transport sensitivity to rainfall compared to Type A and Type B. These sensitivities were also intensified by gullies. These findings highlight the importance of prioritizing permanent gullies and high-erosivity rainfall events in strategies to reduce dissolved nutrient losses from agricultural catchments.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-06-01T10:47:22+02:00</published>
            <updated>2026-06-01T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3331-2026</id>
            <title type="html">Can streamflow observations constrain snow mass reconstructions? Lessons from two synthetic numerical experiments
            </title>
            <link href="https://doi.org/10.5194/hess-30-3331-2026"/>
            <summary type="html">
                &lt;b&gt;Can streamflow observations constrain snow mass reconstructions? Lessons from two synthetic numerical experiments&lt;/b&gt;&lt;br&gt;
                Pau Wiersma, Jan Magnusson, Nadav Peleg, Bettina Schaefli, and Gregoire Mariethoz&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3331&#8211;3350, https://doi.org/10.5194/hess-30-3331-2026, 2026&lt;br&gt;
                <p lang="fr-CH">Streamflow observations contain information about snow, but their potential to constrain seasonal snow mass reconstructions remains underexplored. Using inverse hydrological modeling, we show that streamflow is particularly effective at constraining catchment-aggregated melt rates, but that non-uniqueness in the snow&amp;#8211;streamflow relationship and uncertainties in the inverse modeling chain can easily limit inversion performance.
            </summary>
            <content type="html">
                &lt;b&gt;Can streamflow observations constrain snow mass reconstructions? Lessons from two synthetic numerical experiments&lt;/b&gt;&lt;br&gt;
                Pau Wiersma, Jan Magnusson, Nadav Peleg, Bettina Schaefli, and Gregoire Mariethoz&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3331&#8211;3350, https://doi.org/10.5194/hess-30-3331-2026, 2026&lt;br&gt;
                <p>Historical estimates of seasonal snow mass are key to understanding snowmelt-driven streamflow and climate change impacts on mountain water resources. However, direct observations of snow mass are sparse in space and time, forcing most reconstructions to rely on snow models driven by uncertain meteorological inputs. While ground-based and satellite snow observations are commonly used to constrain these models, their potential is limited in data-scarce regions and before the onset of satellite monitoring. Here, we investigate the potential of streamflow observations as an additional source of information to improve historical snow mass reconstructions.  We introduce an inverse hydrological modeling framework that selects realistic snow mass realizations based on the accuracy of their streamflow response. Before real-world application, we test the framework in two synthetic experiments. Our results demonstrate that streamflow has the potential to constrain snow mass reconstructions, but that non-uniqueness in the snow-streamflow relationship and uncertainties in the inverse modeling chain can easily stand in the way. We also show that streamflow is most helpful in constraining catchment-aggregated properties of snow mass reconstructions, in particular catchment-aggregated melt rates. Future work should assess the potential of streamflow to constrain snow mass reconstruction under real-world conditions and investigate the added value of streamflow when combined with other snow data sources.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-28T10:47:22+02:00</published>
            <updated>2026-05-28T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3313-2026</id>
            <title type="html">Isotopic insights into the dynamics of soil water pools along an elevation gradient
            </title>
            <link href="https://doi.org/10.5194/hess-30-3313-2026"/>
            <summary type="html">
                &lt;b&gt;Isotopic insights into the dynamics of soil water pools along an elevation gradient&lt;/b&gt;&lt;br&gt;
                Jiri Kocum, Kristyna Falatkova, Vaclav Sipek, Karel Patek, Jan Haidl, Ondrej Gebousky, Jan Hnilica, Michal Jenicek, Martin Sanda, Lukas Trakal, and Lukas Vlcek&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3313&#8211;3330, https://doi.org/10.5194/hess-30-3313-2026, 2026&lt;br&gt;
                This study investigates soil water dynamics along an elevation gradient and distinguishes individual soil water pools (mobile vs. tightly bound water). Varying persistence of winter-derived soil water was documented, with longer residence times in lowland areas despite the absence of snow cover. A new method for direct extraction of tightly bound soil water, together with a correction procedure, also revealed distinct seasonal behavior of soil water pools, particularly during spring and autumn.
            </summary>
            <content type="html">
                &lt;b&gt;Isotopic insights into the dynamics of soil water pools along an elevation gradient&lt;/b&gt;&lt;br&gt;
                Jiri Kocum, Kristyna Falatkova, Vaclav Sipek, Karel Patek, Jan Haidl, Ondrej Gebousky, Jan Hnilica, Michal Jenicek, Martin Sanda, Lukas Trakal, and Lukas Vlcek&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3313&#8211;3330, https://doi.org/10.5194/hess-30-3313-2026, 2026&lt;br&gt;
                <p>Recent intensive research on the soil&amp;#8211;plant&amp;#8211;atmosphere continuum has introduced novel methodological approaches. These include new in-situ extraction techniques and the application of stable hydrogen and oxygen isotopes in&amp;#160;water enabling to trace water movement and plant responses at much finer spatial and temporal scales. Such approaches provide detailed insights into soil water dynamics and plant adaptation to changing environmental conditions under climate change. This study aims to provide a comprehensive characterization of dynamics of distinct soil water pools &amp;#8211; mobile versus tightly bound water &amp;#8211; along an elevation gradient, while simultaneously assessing the impact of the absent snow accumulation in lowland areas on soil water distribution compared to higher elevations. In contrast to conventional bulk water sampling, a&amp;#160;key innovation of this study lies in the experimental design across the elevation gradient combined with a novel extraction method that selectively isolates tightly bound soil water for isotopic analysis. The results indicate a prolonged residence time of winter-derived soil water in lowland sites, in contrast to a rapid turnover at the highest elevation, where the winter water signal dissipates shortly after snowmelt. Distinct isotopic compositions among water pools &amp;#8211; mobile versus tightly bound water &amp;#8211; were particularly evident in lowland areas at the edges of the growing season (up to 3&amp;#8201;&amp;#8240; and 21&amp;#8201;&amp;#8240; for <span class="inline-formula"><i>&amp;#948;</i><sup>18</sup>O</span&gt; and <span class="inline-formula"><i>&amp;#948;</i><sup>2</sup>H</span>, respectively), while tightly bound and bulk soil water exhibited &amp;#8211; on average &amp;#8211; only minor or no isotopic differences. In&amp;#160;the&amp;#160;context of the projected continued decline in snow cover at higher elevations in Central Europe, these findings are&amp;#160;critical for improving predictions of soil water storage and, consequently, plant water availability under ongoing climate change.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-28T10:47:22+02:00</published>
            <updated>2026-05-28T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3263-2026</id>
            <title type="html">A simplified model to investigate the hydrological regimes of temporary wetlands: the case study of Do&#241;ana marshland (Spain)
            </title>
            <link href="https://doi.org/10.5194/hess-30-3263-2026"/>
            <summary type="html">
                &lt;b&gt;A simplified model to investigate the hydrological regimes of temporary wetlands: the case study of Doñana marshland (Spain)&lt;/b&gt;&lt;br&gt;
                Claudia Panciera, Alessandro Pagano, Vito Iacobellis, Manuel Bea Martínez, and Ivan Portoghese&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3263&#8211;3281, https://doi.org/10.5194/hess-30-3263-2026, 2026&lt;br&gt;
                Wetlands are crucial environments, increasingly threatened by anthropogenic activities. The present work proposes a simplified model of wetland dynamics 'WetMAT'), useful to understand the state and potential evolution of the system in a multiplicity of conditions (e.g., climate change). Referring to the Do&amp;#241;ana wetland (Spain) we aim at using WetMAT to support estimating water needs in such a complex and fragile ecosystem, providing useful insights for water resources planning and management.
            </summary>
            <content type="html">
                &lt;b&gt;A simplified model to investigate the hydrological regimes of temporary wetlands: the case study of Doñana marshland (Spain)&lt;/b&gt;&lt;br&gt;
                Claudia Panciera, Alessandro Pagano, Vito Iacobellis, Manuel Bea Martínez, and Ivan Portoghese&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3263&#8211;3281, https://doi.org/10.5194/hess-30-3263-2026, 2026&lt;br&gt;
                <p>Natural and pristine ecosystems, such as wetlands, are being either directly or indirectly threatened by a multiplicity of drivers, which include anthropogenic activities and the impacts they have on the use of natural resources. Strategies oriented to a sustainable management of natural resources (in particular, water) are therefore urgently needed, considering also the increasing effects of climate change. Despite their ecological importance, wetlands remain underrepresented in hydrological modelling studies, especially regarding their specific water needs under changing environmental conditions and different scenarios. This study aims to estimate the water requirements of a temporary wetland through a simple hydrological balance model, ultimately facilitating the identification of strategies for its long-term sustainable management. The pilot case study is the Do&amp;#241;ana National Park, SW Spain, one of the case studies of the European project LENSES (PRIMA Call 2020). The model (&amp;#8220;WetMAT&amp;#8221;) is calibrated and validated using historical time series of key hydrological variables (<i>Maximum Flooded Area</i&gt; and <i>Hydroperiod</i>) taken from the literature, to describe the hydrological processes in the wetland. The model is then used for a scenario analysis focused on the assessment of climate change impacts on the state of the wetland and for assessing the ecological water demand of the wetland in a dynamic way, helping to quantify the water needs of such a fragile ecosystem. The results highlight the urgency and importance of developing tools that can help integrating environmental needs into water resources planning and management.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-27T10:47:22+02:00</published>
            <updated>2026-05-27T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3283-2026</id>
            <title type="html">A novel classifier-guided ensemble framework for global terrestrial evapotranspiration estimates
            </title>
            <link href="https://doi.org/10.5194/hess-30-3283-2026"/>
            <summary type="html">
                &lt;b&gt;A novel classifier-guided ensemble framework for global terrestrial evapotranspiration estimates&lt;/b&gt;&lt;br&gt;
                Le Ni, Weiguang Wang, Jianyu Fu, and Mingzhu Cao&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3283&#8211;3312, https://doi.org/10.5194/hess-30-3283-2026, 2026&lt;br&gt;
                Existing global evapotranspiration algorithms rely on sparse local measurements and each comes with its own strengths and weaknesses. Here, we proposed an ensemble framework that employed a machine learning system to dynamically select the most appropriate algorithm to be used across spatial and temporal scales, thus fully utilizing the distinct strengths of each method. In multi-scale validations, our framework exhibited enhanced extrapolation performance, stability, and interpretability.
            </summary>
            <content type="html">
                &lt;b&gt;A novel classifier-guided ensemble framework for global terrestrial evapotranspiration estimates&lt;/b&gt;&lt;br&gt;
                Le Ni, Weiguang Wang, Jianyu Fu, and Mingzhu Cao&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3283&#8211;3312, https://doi.org/10.5194/hess-30-3283-2026, 2026&lt;br&gt;
                <p>Evapotranspiration (ET) is a key hydrological and meteorological variable, serving as the critical nexus between water and energy exchanges.  However, accurate estimation of global ET remains a challenging task, as process-based ET algorithms are often inadequate to capture the nonlinear relationship among environmental factors, and the application of data-driven ET algorithms is hindered by sparse and uncertain ET observations. In this study, we developed a novel ensemble framework that integrates three existing ET models (process-based algorithm, machine learning-based ET model, and hybrid model), aiming to provide high-precision terrestrial ET estimates. The framework is guided by an additional classifier that can achieve dynamic per-pixel model selection, thus fully utilizing the spatiotemporal dynamics of each model's distinct advantages in mapping global ET and avoiding the typical underestimation of high values by ensemble methods. Comprehensive validation of the model was carried out using in situ ET observations from the FLUXNET2015 dataset, catchment-scale water balance ET dataset, and six global-scale ET products, including comparisons to individual base models and another Attention-Based ensemble model. The quantitative comparisons across statistical metrics (RMSE, MAE, <span class="inline-formula"><i>R</i><sup>2</sup></span>, KGE) indicate that our ensemble model outperforms other evaluated models, especially in extreme samples. Meanwhile, the introduction of classifier can not only significantly enhance the algorithmic robustness and generalizability, but also allow us to gain a basic understanding of the mechanisms behind model selection by interpretability analysis. The study demonstrated the effectiveness of the proposed framework in enhancing ET estimation robustness, thereby providing a valuable reference for the estimation of other similar variables.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-27T10:47:22+02:00</published>
            <updated>2026-05-27T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3245-2026</id>
            <title type="html">Technical note: An innovative monitoring approach to measure spatio-temporal throughfall patterns in forests
            </title>
            <link href="https://doi.org/10.5194/hess-30-3245-2026"/>
            <summary type="html">
                &lt;b&gt;Technical note: An innovative monitoring approach to measure spatio-temporal throughfall patterns in forests&lt;/b&gt;&lt;br&gt;
                Lea Dedden and Markus Weiler&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3245&#8211;3261, https://doi.org/10.5194/hess-30-3245-2026, 2026&lt;br&gt;
                Throughfall in forests varies in space and time creating distinct patterns. We developed a novel throughfall monitoring approach for continuous, automated measurement that features 60 self-built and cost effective throughfall samplers. Collected data show the potential of the approach to capture throughfall variability at small distances, among and within rainfall events and between different trees species.
            </summary>
            <content type="html">
                &lt;b&gt;Technical note: An innovative monitoring approach to measure spatio-temporal throughfall patterns in forests&lt;/b&gt;&lt;br&gt;
                Lea Dedden and Markus Weiler&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3245&#8211;3261, https://doi.org/10.5194/hess-30-3245-2026, 2026&lt;br&gt;
                <p>Throughfall in forests is spatially highly heterogeneous creating distinct patterns that persist over time and propagate into the soil. Despite its importance for forest ecohydrological processes, experimentally derived high-quality datasets describing spatio-temporal throughfall dynamics at fine temporal and spatial resolution are still scarce. The majority of studies were unable to measure throughfall at high temporal and/or spatial resolution because of extensive sampling efforts, especially in forests with complex structures. We present a novel, innovative and modular throughfall monitoring system for continuous, automated measurement of throughfall either as isolated canopy throughfall and as integrated throughfall (total throughfall reduced by litter interception). Without removing the water, the system allows to quantify the spatio-temporal throughfall variability at both intra-event and intra-stand levels. The network captures spatial throughfall patterns and their temporal persistence across rainfall events of varying size during leafed and non-leafed periods. The throughfall monitoring network features 60 self-built, cost effective throughfall samplers, with four throughfall collection compartments and tipping bucket units each connected to a newly developed microcontroller board enabling fully automated, low-maintenance operation during rainfall events. The network, collecting data since the winter of 2024/2025, is setup in a stratified sampling pattern among four forest plots of Beech, Douglas fir, Silver fir, and mixed trees in a mature temperate forest in Germany. Data from a four-week observation period in the spring of 2025 are included in this study to showcase the potential of this approach. The data support the networks' ability to capture small-range spatio-temporal throughfall patterns across the study area.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-26T10:47:22+02:00</published>
            <updated>2026-05-26T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3221-2026</id>
            <title type="html">Reconstruction of climate-driven global terrestrial water storage variations (2002&#8211;2021) using a four-parameter linear recursive model
            </title>
            <link href="https://doi.org/10.5194/hess-30-3221-2026"/>
            <summary type="html">
                &lt;b&gt;Reconstruction of climate-driven global terrestrial water storage variations (2002–2021) using a four-parameter linear recursive model&lt;/b&gt;&lt;br&gt;
                Pu Xie and Shuang Yi&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3221&#8211;3244, https://doi.org/10.5194/hess-30-3221-2026, 2026&lt;br&gt;
                We present a global 0.5&amp;#176; &amp;#215; 0.5&amp;#176; daily reconstruction of terrestrial water storage anomalies from 2002&amp;#8211;2021, using a novel four-parameter linear recursive model driven only by precipitation and temperature. The model exhibits strong physical interpretability, efficiently quantifies the precipitation-to-storage conversion fraction, and achieves faster parameter convergence. It outperforms existing models in 89 % of basins, with Nash&amp;#8211;Sutcliffe efficiency values exceeding 0.7 in 84 basins.&amp;#160;
            </summary>
            <content type="html">
                &lt;b&gt;Reconstruction of climate-driven global terrestrial water storage variations (2002–2021) using a four-parameter linear recursive model&lt;/b&gt;&lt;br&gt;
                Pu Xie and Shuang Yi&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3221&#8211;3244, https://doi.org/10.5194/hess-30-3221-2026, 2026&lt;br&gt;
                <p>Terrestrial water storage anomalies (TWSA), jointly influenced by climatic variability and human activities, exhibits pronounced fluctuations across multiple temporal scales. A substantial portion of the fluctuations is attributed to climatic variability, like the El Ni&amp;#241;o&amp;#8211;Southern Oscillation (ENSO). Empirical reconstruction of climate-driven water storage based on relationships between GRACE satellite gravity observations and meteorological forcing data has become a common approach; however, existing models often neglect the regulating role of temperature in the transformation of precipitation into water storage. In this study, we propose a linear, four-parameter coupled recursive model that explicitly incorporates temperature effects on both the conversion and dissipation efficiency of water storage. Using GRACE/GRACE-FO satellite observations and meteorological forcing data, we reconstructed climate-driven TWSA over the global land grid (excluding Antarctica) at a monthly temporal resolution and 0.5&amp;#176; spatial resolution for the period 2002 to 2021. For 116 major global river basins, we further derived basin-scale TWSA reconstructions and quantitatively evaluated the fraction of precipitation converted into TWSA. Compared with existing statistical reconstruction products, the results indicate that: (1) the proposed method achieves substantially faster parameter convergence, improving computational efficiency by several tens of times during the TWSA reconstruction process; (2) the proposed model demonstrates superior performance in approximately 89&amp;#8201;% of river basins and 62&amp;#8201;% of global land grid cells. Additional comparisons with the physically based Catchment Land Surface Model (CLSM) product from NASA's Global Land Data Assimilation System (GLDAS) show that the proposed method better captures the temporal variability of GRACE TWSA in most basins. At the daily scale, the reconstructed TWSA agrees well overall with the ITSG-Grace2018 daily solution and GLDAS-2.2. This study enhances the understanding of the mechanisms governing terrestrial water storage variations at both global and regional scales, provides a quantitative assessment of climate-driven water storage changes, and offers a solid foundation for disentangling the respective impacts of climatic variability and human activities on water resources.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-26T10:47:22+02:00</published>
            <updated>2026-05-26T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3203-2026</id>
            <title type="html">Derivation and validation of estimation model of rainfall kinetic energy under the canopy
            </title>
            <link href="https://doi.org/10.5194/hess-30-3203-2026"/>
            <summary type="html">
                &lt;b&gt;Derivation and validation of estimation model of rainfall kinetic energy under the canopy&lt;/b&gt;&lt;br&gt;
                Zixi Li and Fuqiang Tian&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3203&#8211;3219, https://doi.org/10.5194/hess-30-3203-2026, 2026&lt;br&gt;
                Forests can change the kinetic energy of rain below them. We built a new model that breaks down the canopy into layers, and tracks two types of raindrop: direct splashes and water dripping from leaves. The model was validated through nine rainfall events. The canopy doesn't always reduce the rain's force, and sometimes it increases it, depending on the specific structure of the leaves and branches.
            </summary>
            <content type="html">
                &lt;b&gt;Derivation and validation of estimation model of rainfall kinetic energy under the canopy&lt;/b&gt;&lt;br&gt;
                Zixi Li and Fuqiang Tian&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3203&#8211;3219, https://doi.org/10.5194/hess-30-3203-2026, 2026&lt;br&gt;
                <p>Canopy interception alters the kinetic energy of raindrops reaching the ground, which has important implications for soil erosion, water conservation, and ecosystem functioning. A novel estimation model for the kinetic energy of rainfall under the canopy is developed by stratifying the canopy using parameters such as leaf area index and leaf inclination angle, explicitly distinguishing between canopy-dripped and splashed raindrops. The efficacy of the model is subsequently assessed and analyzed through a comprehensive examination of nine field datasets encompassing LiDAR and raindrop spectrum observations. The simulated under-canopy total kinetic energy, splashing drop kinetic energy, and dripping drop kinetic energy showed total <span class="inline-formula"><i>R</i><sup>2</sup></span&gt; values of 0.769, 0.572 and 0.773, total RMSE values of 18.7, 2.0 and 18.7&amp;#8201;<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M2" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">J</mi><mspace width="0.125em" linebreak="nobreak"/><msup><mi mathvariant="normal">m</mi><mrow><mo>-</mo><mn mathvariant="normal">2</mn></mrow></msup><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">h</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="46pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="45a2b853a786d22587c6e0eb93c3fc6f"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3203-2026-ie00001.svg" width="46pt" height="13pt" src="hess-30-3203-2026-ie00001.png"/></svg:svg></span></span>, with measurement including uncertainty of <span class="inline-formula">54.1</span>&amp;#8201;<span class="inline-formula">&amp;#177;</span>&amp;#8201;<span class="inline-formula">12.4</span>, <span class="inline-formula">3.7</span>&amp;#8201;<span class="inline-formula">&amp;#177;</span>&amp;#8201;<span class="inline-formula">0.1</span&gt; and <span class="inline-formula">50.4</span>&amp;#8201;<span class="inline-formula">&amp;#177;</span>&amp;#8201;<span class="inline-formula">12.4</span>&amp;#8201;<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M12" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">J</mi><mspace width="0.125em" linebreak="nobreak"/><msup><mi mathvariant="normal">m</mi><mrow><mo>-</mo><mn mathvariant="normal">2</mn></mrow></msup><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">h</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="46pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="144218fe88cc546f927527a479a41cc8"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-30-3203-2026-ie00002.svg" width="46pt" height="13pt" src="hess-30-3203-2026-ie00002.png"/></svg:svg></span></span>, respectively. Simulations indicate that the under-canopy raindrop spectrum and kinetic energy are primarily controlled by canopy structure and vary less than above-canopy rainfall properties across the observed events. Sensitivity analysis shows that the model is generally robust, with rainfall intensity, the pinning proportion coefficient, LAI and surface contact angle exerting the greatest influence, while other factors have limited impact. Remaining limitations, including simplified branch-drip representation, component-partitioning assumptions and measurement uncertainties, highlight the need for improved parameterization and broader observations.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-22T10:47:22+02:00</published>
            <updated>2026-05-22T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3165-2026</id>
            <title type="html">A hybrid Kolmogorov&#8211;Arnold Networks-based model with attention for predicting Arctic river streamflow
            </title>
            <link href="https://doi.org/10.5194/hess-30-3165-2026"/>
            <summary type="html">
                &lt;b&gt;A hybrid Kolmogorov–Arnold Networks-based model with attention for predicting Arctic river streamflow&lt;/b&gt;&lt;br&gt;
                Renjie Zhou and Shiqi Liu&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3165&#8211;3183, https://doi.org/10.5194/hess-30-3165-2026, 2026&lt;br&gt;
                Arctic rivers move enormous amounts of water and carbon into the ocean, influencing global climate, but their flow is hard to predict because the region is remote and the frozen ground behaves in unusual ways. This research combines artificial intelligence with the physics of snow and permafrost to forecast river flow more accurately. Demonstrated on the Kolyma River, the new model outperforms existing approaches and provides a robust framework for understanding Arctic hydrological systems.
            </summary>
            <content type="html">
                &lt;b&gt;A hybrid Kolmogorov–Arnold Networks-based model with attention for predicting Arctic river streamflow&lt;/b&gt;&lt;br&gt;
                Renjie Zhou and Shiqi Liu&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3165&#8211;3183, https://doi.org/10.5194/hess-30-3165-2026, 2026&lt;br&gt;
                <p>Arctic rivers represent important components of the Arctic and global hydrological and climate systems, serving as dynamic conduits between terrestrial and marine environments in some rapidly changing regions. They transport freshwater, sediments, nutrients, and carbon from vast watersheds to the Arctic Ocean and affect ocean circulation patterns and regional climate dynamics. Despite their importance, modeling Arctic rivers remains challenging because of sparse data networks, unique cryospheric dynamics, and complex responses to hydrometeorological variables. In this study, a novel hybrid deep learning model is developed to address these challenges and predict Arctic river discharge by incorporating Kolmogorov&amp;#8211;Arnold Networks (KAN), Long Short-Term Memory, and the attention mechanism with seasonal trigonometry encoding and physics-based constraints.  It integrates several novel components: (1)&amp;#160;A KAN-based deep learning component learns and captures intricate temporal patterns from nonlinear hydrometeorological data; (2)&amp;#160;Explicit physical constraints designed for the characteristics of permafrost-dominated watersheds govern snow accumulation and melt processes through the architectural design and loss function; (3)&amp;#160;Seasonal variations are accounted for using trigonometry functions to represent cyclical patterns; (4)&amp;#160;A residual compensation structure allows the proposed model to revisit systematic errors in initial predictions and helps capture complex nonlinear processes that are not fully represented. The Kolyma River, which is dominated by permafrost, is adopted to test the performance of the newly developed model. It obtains more robust and accurate predictive performance compared to baseline models. The role of physical constraints, the residual compensated architecture, and the trigonometry encoding are assessed by ablation analysis. The results indicate that these components improve the predictive performance. This novel approach offers a new pathway for addressing key challenges of hydrological forecasting in cold, permafrost-dominated regions and provides a robust framework for improving Arctic river discharge prediction.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-22T10:47:22+02:00</published>
            <updated>2026-05-22T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3185-2026</id>
            <title type="html">Shifting water scarcities: irrigation alleviates agricultural green water deficits while increasing blue water scarcity
            </title>
            <link href="https://doi.org/10.5194/hess-30-3185-2026"/>
            <summary type="html">
                &lt;b&gt;Shifting water scarcities: irrigation alleviates agricultural green water deficits while increasing blue water scarcity&lt;/b&gt;&lt;br&gt;
                Heindriken Dahlmann, Lauren S. Andersen, Sibyll Schaphoff, Fabian Stenzel, Johanna Braun, Christoph Müller, and Dieter Gerten&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3185&#8211;3201, https://doi.org/10.5194/hess-30-3185-2026, 2026&lt;br&gt;
                Green water stress can negatively affect agricultural production and is often mitigated through irrigation. In this global modelling study, we investigate where and to what extent the implementation of irrigation helps to compensate for green water stress but at the same time leads to an increase in blue water scarcity. Our findings highlight the need to consider both water stresses together, along with their dynamic interactions, for sustainable water management.
            </summary>
            <content type="html">
                &lt;b&gt;Shifting water scarcities: irrigation alleviates agricultural green water deficits while increasing blue water scarcity&lt;/b&gt;&lt;br&gt;
                Heindriken Dahlmann, Lauren S. Andersen, Sibyll Schaphoff, Fabian Stenzel, Johanna Braun, Christoph Müller, and Dieter Gerten&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3185&#8211;3201, https://doi.org/10.5194/hess-30-3185-2026, 2026&lt;br&gt;
                <p>Agricultural areas often experience green water scarcity &amp;#8211; the limitation of crop growth by soil moisture supplied through rainfall and snowmelt &amp;#8211; due to e.g. unfavourable soil texture, high potential evapotranspiration rates, poor or inefficient crop management, and fluctuations in meteorological conditions. Driven by the growing effects of climate change and the rising water and food demands of an increasing world population, agricultural green water scarcity is becoming an increasingly important phenomenon. In this global modelling study, a plant-physiology based indicator of green water stress is applied, that quantifies the ratio between soil moisture limitation and atmospheric water demand on agricultural areas. Results show that currently (2015&amp;#8211;2019 average) 44&amp;#8201;% (686&amp;#8201;Mha) of the global agricultural area is green water stressed. Hotspots are characterized by a high seasonal variability in stress conditions, and are mainly located in India and Pakistan, northern Sub-Saharan Africa, North Africa and southwestern Asia. Using an analogous blue water stress indicator &amp;#8211; which relates human water use for households, industry and agriculture to available blue water resources &amp;#8211; current irrigation is shown to alleviate plant water stress in agricultural areas by compensating for green water scarcity on 8&amp;#8201;% (140&amp;#8201;Mha) of the total agricultural area, but simultaneously increases the share of areas experiencing blue water stress by 6&amp;#8201;% (96&amp;#8201;Mha). This shift in water stress types highlights the importance of jointly considering the interconnected green and blue water resources and stresses in pathways towards sustainable water use in agriculture.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-22T10:47:22+02:00</published>
            <updated>2026-05-22T10:47:22+02:00</updated>
        </entry>
        <entry>
            <id>https://doi.org/10.5194/hess-30-3095-2026</id>
            <title type="html">Simulating carbon fluxes in boreal catchments: WSFS-Vemala model development and key insights
            </title>
            <link href="https://doi.org/10.5194/hess-30-3095-2026"/>
            <summary type="html">
                &lt;b&gt;Simulating carbon fluxes in boreal catchments: WSFS-Vemala model development and key insights&lt;/b&gt;&lt;br&gt;
                Marie Korppoo, Inese Huttunen, Markus Huttunen, Maiju Narikka, Jari Silander, Tom Jilbert, Martin Forsius, Pirkko Kortelainen, Niina Kotamäki, Cintia Uvo, and Anna-Kaisa Ronkanen&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3095&#8211;3119, https://doi.org/10.5194/hess-30-3095-2026, 2026&lt;br&gt;
                The development of carbon processes in the water quality model WSFS (Watershed Simulation and Forecasting System)-Vemala presents a significant advancement in simulating both total organic and inorganic carbon dynamics, burial and emissions through a river/lake network. The addition of organic acids to the total alkalinity definition improved pH simulations and thus the simulation of CO<sub>2</sub&gt; emissions in the acidic and organic rich waters of Finland. The new Vemala model provides a robust foundation to support water management in the future.
            </summary>
            <content type="html">
                &lt;b&gt;Simulating carbon fluxes in boreal catchments: WSFS-Vemala model development and key insights&lt;/b&gt;&lt;br&gt;
                Marie Korppoo, Inese Huttunen, Markus Huttunen, Maiju Narikka, Jari Silander, Tom Jilbert, Martin Forsius, Pirkko Kortelainen, Niina Kotamäki, Cintia Uvo, and Anna-Kaisa Ronkanen&lt;br&gt;
                    Hydrol. Earth Syst. Sci., 30, 3095&#8211;3119, https://doi.org/10.5194/hess-30-3095-2026, 2026&lt;br&gt;
                <p>Lakes and streams play an important role in the global carbon cycle through carbon sedimentation and evasion. The development of carbon processes in the water quality model WSFS-Vemala (Vemala) presents a significant advancement in simulating carbon dynamics, particularly in capturing both total organic (TOC) and inorganic (TIC) carbon processes and their contributions to carbon retention and emissions through a river/lake network. The model was tested in the Vantaanjoki catchment, located in southern Finland and covering an area of 1680&amp;#8201;km<span class="inline-formula"><sup>2</sup></span>. The model's ability to simulate TOC and TIC loading across various land use and soil types aligns closely with reported literature values. The addition of organic acids to the total alkalinity definition improved pH simulations and thus the simulation of CO<span class="inline-formula"><sub>2</sub></span&gt; emissions in the acidic and organic rich waters of Finland. Annual CO<span class="inline-formula"><sub>2</sub></span&gt; emissions of 25&amp;#8201;gC&amp;#8201;m<span class="inline-formula"><sup>&amp;#8722;2</sup></span>&amp;#8201;yr<span class="inline-formula"><sup>&amp;#8722;1</sup></span&gt; were simulated from lake Tuusulanj&amp;#228;rvi, the largest lake in the catchment, and 223&amp;#8211;260&amp;#8201;gC&amp;#8201;m<span class="inline-formula"><sup>&amp;#8722;2</sup></span>&amp;#8201;yr<span class="inline-formula"><sup>&amp;#8722;1</sup></span&gt; from the river network, while only 3&amp;#8201;gC&amp;#8201;m<span class="inline-formula"><sup>&amp;#8722;2</sup></span>&amp;#8201;yr<span class="inline-formula"><sup>&amp;#8722;1</sup></span&gt; was simulated as organic carbon burial in the lake sediments. The model's performance in estimating CO<span class="inline-formula"><sub>2</sub></span&gt; emissions shows a good correlation with established ranges for lakes as well as a good correlation with TOC and TIC loads across the river network. The inclusion of sedimentation and mineralization processes in the lake carbon budget underlines the necessity of accounting for both organic and inorganic pathways in carbon modelling. This improved representation of the carbon cycling in Vemala, linked with the phytoplankton growth and nutrient cycling, allows to distinguish between carbon losses to the atmosphere and long-term carbon storage in the sediments of inland waters. Overall, the enhanced Vemala model provides a robust foundation for understanding carbon cycling and supporting sustainable, integrated water resource management and scenario assessments from sub-catchments to the national scale.</p>
            </content>
            <author>
                <name>Copernicus Electronic Production Support Office</name>
            </author>
            <published>2026-05-21T10:47:22+02:00</published>
            <updated>2026-05-21T10:47:22+02:00</updated>
        </entry>
</feed>