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    Compounding hazards increase flood economic losses across Europe

    AbstractCompound events-combinations of multiple hazards contributing to societal or environmental risk-can significantly exacerbate disaster impacts, yet their effect on flood-related losses remains poorly quantified. Using a pan-European multi-hazard dataset spanning 1981-2020 at sub-national resolution, we find that more than 70% of recorded flood events involve compounding hazards, including meteorological extremes such as heatwaves and windstorms, alongside anomalous river discharge, with an increasing trend over time. The top 1% of events by economic losses are all compound, with total losses exceeding 167 billion euros above single-hazard floods. We introduce a compound hazard complexity metric and combine it with regional exposure and vulnerability data. Applying an ensemble machine learning model with explainable AI and a Double Machine Learning Causal Forest, we show that regions with higher complexity experience greater losses, even after controlling for flood magnitude and vulnerability, highlighting the importance of compound hazard information in risk modeling.

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    Global mapping of potential coastal compound flood risk at 0.1∘ resolution

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    Open access
    08 January 2026

    Multivariate compound events drive historical floods and associated losses along the U.S. East and Gulf coasts

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    Open access
    25 February 2025

    Overlooking probabilistic mapping renders urban flood risk management inequitable

    Article
    Open access
    04 August 2023

    AcknowledgementsWe extend our gratitude to several individuals whose contributions were invaluable to this work. We are deeply appreciative of Matti Kummu for his insightful conversations and clarifications on downscaled datasets related to exposure and vulnerability. Our thanks also go to Lena Riemann for discussions on the global social vulnerability index for floods. D.P. was supported by the European Union’s HORIZON research and innovation action program through the project “Compound extremes attribution of climate change: towards an operational service” (COMPASS), grant no. 101135481 We are grateful to Judith Claassen for her constructive comments on an earlier version of the manuscript, which helped refine our methodology in the analysis. We thank Peter Salamon for his invaluable advice and discussions on flood risk. Finally, we express our gratitude to Tom de Groeve for his unwavering support and encouragement throughout the research process. The information and views set out in this research article are those of the author(s) and do not necessarily reflect the official opinion of the Commission.FundingT.T., W.S.J, and P.J.W. received financial support through the MYRIAD-EU project from the European Union’s Horizon 2020 research and innovation program (grant agreement no. 101003276). D.P. acknowledges support from the European Union’s HORIZON research and innovation action programme through project “Compound extremes attribution of climate change: towards an operational ser1016br /vice” (COMPASS, grant no. 101135481). A. M. received funding from the European Research Council, EU H2020 European Research Council (grant no. ERC-2020-StG 948601) and from the VU-UT Alliance funding (project no. R/013944).Author informationAuthor notesThese authors contributed equally: Michele Ronco, Aloïs Tilloy.Authors and AffiliationsEuropean Commission, Joint Research Centre, Ispra, ItalyMichele Ronco, Aloïs Tilloy, Christina Corbane & Luc FeyenInstitute of Health and Society (IRSS), University of Louvain (UCLouvain), Brussels, BelgiumDamien DelforgeInstitute for Environmental Studies, Vrije Universiteit Amsterdam, Amsterdam, The NetherlandsWiebke S. Jäger, Alessia Matanó, Timothy Tiggeloven & Philip J. WardResearch Department Transformation Pathways, Potsdam Institute for Climate Impact Research (PIK), Potsdam, GermanyDominik PaprotnyInstitute of Marine and Environmental Sciences, University of Szczecin, Szczecin, PolandDominik PaprotnyBaltic Climate Centre, University of Szczecin, Szczecin, PolandDominik PaprotnyUnisystems Luxembourg S.a.r.l. External Service Provider of European Commission Joint Research Centre, Ispra, ItalyAndrea SibiliaCMCC Foundation, Euro-Mediterranean Center on Climate Change, Venice, Italy, Venice, ItalyTimothy TiggelovenDeltares, Delft, The NetherlandsPhilip J. WardAuthorsMichele RoncoView author publicationsSearch author on:PubMed Google ScholarAloïs TilloyView author publicationsSearch author on:PubMed Google ScholarChristina CorbaneView author publicationsSearch author on:PubMed Google ScholarDamien DelforgeView author publicationsSearch author on:PubMed Google ScholarLuc FeyenView author publicationsSearch author on:PubMed Google ScholarWiebke S. JägerView author publicationsSearch author on:PubMed Google ScholarAlessia MatanóView author publicationsSearch author on:PubMed Google ScholarDominik PaprotnyView author publicationsSearch author on:PubMed Google ScholarAndrea SibiliaView author publicationsSearch author on:PubMed Google ScholarTimothy TiggelovenView author publicationsSearch author on:PubMed Google ScholarPhilip J. WardView author publicationsSearch author on:PubMed Google ScholarCorresponding authorCorrespondence to
    Michele Ronco.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Supplementary informationSupplementary Information (download PDF )Peer Review file (download PDF )Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
    Reprints and permissionsAbout this articleCite this articleRonco, M., Tilloy, A., Corbane, C. et al. Compounding hazards increase flood economic losses across Europe.
    Nat Commun (2026). https://doi.org/10.1038/s41467-026-73248-0Download citationReceived: 08 July 2025Accepted: 06 May 2026Published: 19 May 2026DOI: https://doi.org/10.1038/s41467-026-73248-0Share this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
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    Numerical modeling to assess the hydrodynamic behavior of the Gallinas River in San Luis Potosí under atypical hydrometeorological conditions

    AbstractRiver systems characterized by strong groundwater–surface water interaction exhibit complex hydrodynamic responses under hydroclimatic extremes. This study investigates how infiltration-dominated river reaches modulate flow persistence during drought and floodplain activation during extreme rainfall. A two-dimensional Environmental Fluid Dynamics Code (EFDC) model was implemented for a 20.35 km reach of the Gallinas River (Mexico) using high-resolution UAV-derived bathymetry and field-based discharge measurements. The model was calibrated and independently validated prior to simulating a 25-year return period flood (peak discharge = 1231.8(hbox {m}^{3}) (hbox {s}^{-1})) and a drought scenario constrained by an environmental-flow threshold (4.1(hbox {m}^{3}) (hbox {s}^{-1})). Results reveal the emergence of hydrodynamic thresholds driven by cumulative reach-scale losses ((sim {3.1}hbox {m}^{3}hbox {s}^{-1})), producing nonlinear downstream discharge decay under low-flow conditions and requiring a minimum upstream inflow of ({7.2}hbox {m}^{3}hbox {s}^{-1}) to maintain ecological continuity. Under flood forcing, inundation patterns are primarily controlled by channel geometry and longitudinal slope reduction rather than discharge magnitude alone. These findings demonstrate that infiltration-influenced rivers exhibit dual hydrodynamic controls under contrasting extremes and highlight the importance of explicitly representing cumulative exchange processes in two-dimensional modeling frameworks. The study provides transferable insights for assessing drought resilience and flood risk in permeable or groundwater-connected river systems facing increasing hydroclimatic variability.

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    Supercharging hydrodynamic inundation models for instant flood insight

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    11 September 2023

    From river flow regime diversity to proxies for hydrologic homogeneity a Canada-wide case study

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    Open access
    14 May 2025

    Global river water quality under climate change and hydroclimatic extremes

    Article

    12 September 2023

    AcknowledgementsThe authors thank the technical staff and collaborators who assisted during the field campaigns and data collection.FundingThis work was partially financially supported by the Comisión Estatal de Agua (CEA), the State Water Commission of San Luis Potosí, to conduct the field campaigns.Author informationAuthor notesClemente Rodríguez-Cuevas, José-Guadalupe Alejandrez-Palacios, Carlos Couder-Castañeda, Jhonatan-Fernando Eulopa- Hernandez and Alfredo Trujillo-Alcantara contributed equally to this work.Authors and AffiliationsFacultad de Ingeniería, Universidad Autónoma de San Luis Potosí, San Luis Potosí, 78290, MexicoClemente Rodríguez-Cuevas & José-Guadalupe Alejandrez-PalaciosCentro de Desarrollo Aeroespacial, Instituto Politécnico Nacional, Ciudad de México, 06010, MéxicoCarlos Couder-Castañeda & Jhonathan-Fernando Eulopa-HernandezInstituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas No. 152, San Bartolo Atepehuacan, 07730, Gustavo A. Madero, Ciudad de México, DF, MéxicoAlfredo Trujillo-AlcantaraAuthorsClemente Rodríguez-CuevasView author publicationsSearch author on:PubMed Google ScholarJosé-Guadalupe Alejandrez-PalaciosView author publicationsSearch author on:PubMed Google ScholarCarlos Couder-CastañedaView author publicationsSearch author on:PubMed Google ScholarJhonathan-Fernando Eulopa-HernandezView author publicationsSearch author on:PubMed Google ScholarAlfredo Trujillo-AlcantaraView author publicationsSearch author on:PubMed Google ScholarCorresponding authorCorrespondence to
    Carlos Couder-Castañeda.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s noteSpringer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
    Reprints and permissionsAbout this articleCite this articleRodríguez-Cuevas, C., Alejandrez-Palacios, JG., Couder-Castañeda, C. et al. Numerical modeling to assess the hydrodynamic behavior of the Gallinas River in San Luis Potosí under atypical hydrometeorological conditions.
    Sci Rep (2026). https://doi.org/10.1038/s41598-026-52183-6Download citationReceived: 06 July 2025Accepted: 04 May 2026Published: 18 May 2026DOI: https://doi.org/10.1038/s41598-026-52183-6Share this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
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    KeywordsHydrodynamic modelingHydrometeorological extremeGroundwater-surface water interactionDrought assessmentKarst river systems More

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    Quantifying groundwater storage dynamics during the 2024 flood season using GRACE-FO and multi-source hydrological data in Hunan Province, China

    AbstractGroundwater is a vital component of the hydrological cycle, and understanding its dynamics is crucial for water resource management under climate change. This study employs GRACE-FO satellite data to assess groundwater storage (GWS) dynamics in Hunan Province during the 2024 flood season (April-September). Given the abundant surface water resources in this region, we explicitly incorporate the water storage of Dongting Lake and 28 large reservoirs when calculating surface water storage anomaly (SWSA), which is crucial for estimating the GWS anomaly (GWSA). Accordingly, GWSA is obtained by subtracting the soil moisture storage anomaly (SMSA) and SWSA from the GRACE-FO-derived terrestrial water storage anomaly (TWSA). Furthermore, correlation coefficients and contribution of each water storage component to TWSA are calculated to reveal inter-component interactions and response mechanisms to precipitation. Results show that original TWSA, SWSA, and GWSA increase markedly from March to July 2024. After detrending and deseasonalizing, SWSA and GWSA exhibit a complementary relationship (correlation coefficient: −0.20), with changes of −3.08 km3 and −1.12 km3 over the flood season, largely attributed to anthropogenic flood control operations. In contrast, SMSA and GWSA are weakly positively correlated (0.29), reflecting limited direct recharge efficiency. TWSA is strongly correlated with both SMSA (0.78) and GWSA (0.71), reflecting synergistic variation among water storage components. Consistently, GWSA contributes the most (44.52%) to TWSA fluctuations, followed by SMSA (31.80%) and SWSA (23.68%), highlighting the critical role of groundwater in the regional water cycle. These findings provide a valuable scientific basis for sustainable water resource management and regulation in Hunan Province.

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    The analysis on groundwater storage variations from GRACE/GRACE-FO in recent 20 years driven by influencing factors and prediction in Shandong Province, China

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    09 March 2024

    Groundwater storage downscaling and regional water resource analysis based on an attention-enhanced RF model

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    16 May 2026

    The slowdown of increasing groundwater storage in response to climate warming in the Tibetan Plateau

    Article
    Open access
    20 November 2024

    FundingThis work is funded jointly by the Joint Project of Natural Science Foundation of Hunan Province (2024JJ8348), the Key Laboratory of Natural Resources Monitoring and Supervision in Southern Hilly Region, Ministry of Natural Resources (NRMSSHR2024Z02), and the Natural Science Foundation of China (Grants Nos. 42374032).Author informationAuthors and AffiliationsThe Second Surveying and Mapping Institute of Hunan Province, Changsha, 410029, ChinaFan Lei, Kaijun Yang, Jide Wei, Li Cao, Fang Hu & Zhe ZhangKey Laboratory of Natural Resources Monitoring and Supervision in Southern Hilly Region, Ministry of Natural Resources, Changsha, 410029, ChinaFan Lei, Kaijun Yang, Jide Wei, Li Cao, Fang Hu, Zhe Zhang & Yulong ZhongSchool of Geography and Information Engineering, China University of Geosciences (Wuhan), Wuhan, 430078, ChinaJingwen Zhou & Yulong ZhongAuthorsFan LeiView author publicationsSearch author on:PubMed Google ScholarJingwen ZhouView author publicationsSearch author on:PubMed Google ScholarKaijun YangView author publicationsSearch author on:PubMed Google ScholarJide WeiView author publicationsSearch author on:PubMed Google ScholarLi CaoView author publicationsSearch author on:PubMed Google ScholarFang HuView author publicationsSearch author on:PubMed Google ScholarZhe ZhangView author publicationsSearch author on:PubMed Google ScholarYulong ZhongView author publicationsSearch author on:PubMed Google ScholarCorresponding authorCorrespondence to
    Jingwen Zhou.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s noteSpringer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
    Reprints and permissionsAbout this articleCite this articleLei, F., Zhou, J., Yang, K. et al. Quantifying groundwater storage dynamics during the 2024 flood season using GRACE-FO and multi-source hydrological data in Hunan Province, China.
    Sci Rep (2026). https://doi.org/10.1038/s41598-026-48703-zDownload citationReceived: 12 December 2025Accepted: 09 April 2026Published: 17 May 2026DOI: https://doi.org/10.1038/s41598-026-48703-zShare this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
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    KeywordsGRACE-FOGroundwater storage anomalyReservoirs and Dongting LakeFlood seasonHunan Province More

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    Identification of chemical and physical key water quality drivers in the urban Grunewald Chain of Lakes, Berlin

    AbstractAquatic ecosystems are threatened by high nutrient loads. Particularly urban lakes that are used as storm water reservoirs are polluted by phosphorus, nitrogen and other pollutants. Improving the water quality of urban lakes is both a benefit for the ecosystem, and for the socio-ecological value of the waterbody. This study investigates the Grunewald chain of lakes in Berlin, Germany which is threatened by high nutrient loads from surrounding urban areas. To date, measures to improve the water quality failed to achieve a resilient, long-term balanced and stable aquatic ecosystem. Connected lakes pose major challenges for water management due to their interactions. To better understand the exchange of nutrients in the Grunewald chain of lakes, a monitoring campaign and data analysis were conducted, with monthly water samples over a period of 13 months at 17 sampling stations, focusing on the inlets, outlets and connections of the lakes. This study reveals the relevance of temperature, volume ratio, depth and phosphorus concentrations affecting the nutrient limitation of the lakes and how water quality of the lakes are affected by each other. The study gives insights to cascading effects on nutrient accumulation along a chain of lakes, providing guidance for further management practices.

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    Assessment of invasive aquatic plant dynamics in the Lake Burullus wetland complex integrating remote sensing techniques

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    Open access
    03 July 2025

    Response of urban lake water quality to monthly hydro-meteorological drivers at the catchment scale

    Article
    Open access
    25 April 2026

    High Resolution Water Quality Dataset of Chinese Lakes and Reservoirs from 2000 to 2023

    Article
    Open access
    04 April 2025

    IntroductionUrban lakes are rewarded for their multifunctional role as blue-green oasis within cities. They are used for recreational activities of inhabitants and tourists, such as bathing and to experience nature. For the urbanized area they provide a cooling effect on the surrounding, and urban lakes can be used as flood protection areas as well as storm water reservoirs of surrounding traffic areas. Within cities, lakes offer habitat structures for aquatic species like fishes, mammals and plants and by this they serve as stepping stone biotopes1,2. Even though this multifunctional role shows the socio-ecological value of the lakes, they are threatened by high loads of nutrients and contaminants that are transported in the lakes via runoff from the surrounding urban areas3. The anthropogenic impacts on the water quality of lakes cause eutrophication4 and fish disease5 as well as odor due to sulphureous gases6. Special cases are connected water bodies where cascading effects of decreasing water quality7,8,9,10,11, but also a positive effect of water quality management measures have been found12. In the study of Kuriata-Potasznik et al.8 lakes that are connected with streams were investigated as connected water bodies. They found that lakes act as nutrient traps that accumulated the nutrient loading that enter the lake via the stream, which results in a decreasing water quality along the flow path from the river to the lake. Instead, Hilt et al.12 showed with a model of a chain of lakes that the water quality of connected water bodies can be improved due to an improvement of the water quality upstream. It is important to better understand how connected water bodies interact with each other and how water quality of chain of lakes can be improved for all and individual lakes13. This study focuses on the Grunewald chain of lakes in Berlin, Germany. The chain of lakes consists of ten lakes that are connected with each other via pumps, canals, streams through wetlands or directly via a short stream (2–5 m). The lakes are imbedded in channels from the Weichsel Glaciation and ground moraine formation. In the past, these lakes suffered from high nutrient loads coming from the Spree River. Agricultural areas in the Spree catchment led to high nutrient concentrations in the Spree River that were transported further into the Fennsee which was previously the most upstream lake of the chain of lakes. With the reverse of the flow direction in 1981, the lake Fennsee is now the most downstream lake of the chain of lakes. Due to the high nutrient loads, measures have been taken to improve the water quality. The flow direction has been reversed with pumps, including a surface water treatment facility where phosphorus concentrations are reduced before water flows from the Havel River to the Grunewald chain of lakes. Different filter systems for water flowing from the streets to the lakes were implemented aiming to reduce the nutrient load. But still the Grunewald chain of lakes suffers from high loads of nutrients and it has not been investigated how the connected lakes interact with each other or affect the nutrient situation of each other. To describe the effect of nutrient loading in aquatic systems on biodiversity, the TN: TP ratio can be calculated using the concentrations of total nitrogen (TN) and total phosphorus (TP). The TN: TP ratio gives information on which nutrient should be limited to reduce the algae growth in the water body. Most studies7,14,15,16,17,18 investigated large amounts of different lakes all over the world, where they investigated the nutrient limitation and the effects on the TN: TP ratio. Some studies found that often it is not only one of the nutrients that has to be limited, instead a Co-limitation of both nutrients is recommended to improve the water quality of lakes19,20,21. So far there is no study that focused specifically on urban lakes that are connected and how the ratio of total nitrogen and total phosphorus varies along the flow path. Using the Boruta analysis, McCullough et al.16 showed in a study about more than 3000 lakes in the United States that the relationship between nutrients and chlorophyll-a are most relevant in the context of nutrient limitation in lakes and that nutrient limitation of lakes is related to a combination of watershed characteristics, regional scales and the environmental conditions of the lakes. Aiming to understand which factors affect the urban lakes of the Grunewald chain of lakes in Berlin, we used the Boruta analysis to investigate how lake characteristics, physical and chemical parameters are related to the TN: TP ratio.The complex system of the Grunewald chain of lakes consists of ten lakes and several inflows from storm water runoff that originate from eleven catchments. To better understand the complex system, a monitoring campaign was conducted over 13 months, focusing on the inlets, outlets and direct connections of the lakes. The aim was to investigate [i] the rate of nutrient transport along the lakes and if this affects downstream lakes and [ii] to unravel important drivers for nutrient limitation in the Grunewald chain of lakes, using the Boruta analysis. First, the materials and methods are presented with the study area, monitoring campaign, laboratory analysis and data analysis. Results follow thereafter with an evaluation of the physical and chemical parameters and nutrient concentration in the chain of lakes, obtained during the monitoring campaign. Hereinafter, the parameter importance on nutrient limitation in urban lakes is presented. In the discussion, the pollution of the lakes is discussed as well as the shift of the limiting nutrient, followed by the discussion about the parameters affecting the TN: TP ratio. The manuscript concludes with an assessment of the monitoring approach and the data analyses methods and provides recommendations for the water quality management of the chain of lakes.Materials and methodsStudy areaThe Grunewald chain of lakes is located in the southwest of Berlin, Germany, within a temperate climate zone. The average air temperature from 2020 to 2025 is 10.85 °C and the average precipitation per year is 477 mm during the same period at the weather station Berlin-Dahlem22. In July 2025 several heavy rainfall events took place with precipitation totals of 111 mm measured at the weather station Berlin-Dahlem. The monitoring in July 2025 took place right after a heavy rain fall event with more than 20 mm of rain on one day22. The lake chain is embedded in gyttjas and peat, surrounded by outwash plain (Sander) from the Weichsel Glaciation and ground moraine formation. Ten lakes are connected via pumps, channels or directly with each other (Fig. 1). The natural flow direction has been reversed in 1981 to improve the water quality. Nowadays, phosphorus reduced water (< 10 µg/l total phosphorus) from the river Havel that is purified at the surface water treatment (SWT) plant Beelitzhof enters the lake Schlachtensee which is connected with the lake Krumme Lanke via a creek. Pumps that are operated by the Berliner Wasserbetriebe (Berlin water supply company) were installed in 1981 to transport the water against the topographic gradient. From the lake Krumme Lanke water flows through a creek within a wetland and is transported with a pump with a capacity up to 450 m³/h upwards to the lake Grunewaldsee. The outflow of the lake Grunewaldsee enters another creek that flows through a wetland. A pump with a capacity up to 350 m³/h transports water at the end of the creek to the lake Hundekehlesee as well as to the lake Dianasee. The lakes Dianasee, Königssee, Herthasee and Hubertussee are directly connected with each other and via a channel the lake Halensee is connected with the Königssee. Another pump with a capacity up to 200 m³/h transports water from the lake Hubertussee to the channel Talgraben which enters the lake Fennsee. From the lake Fennsee water flows over an overflow threshold and then through a channel to the river Spree. A storm water tank is located between the lakes Hubertussee and Fennsee. Water that is collected in the storm water tank enters the Hubertussee close to the pumping station at the outlet of the lake Hubertussee (Fig. 1).Fig. 1The alternative text for this image may have been generated using AI.Full size imageGrunewald chain of lakes in Berlin, Germany with the urban storm water catchments of each lake and wetlands that contribute to the whole chain of lakes. In the storm water catchments23, runoff is collected in canals which transport the polluted water to the lakes. A special case are the catchments of Talgraben and Hubertussee: the grey urban storm water catchment drains into the Talgraben directly via canals; the pink catchment drains into canals that transport water into the Hubertussee close to the sampling point 13. Monthly sampling points of water quality measurements are shown as red dots, black diamonds are pumping stations operated by the Berliner Wasserbetriebe. Blue arrows indicate where water enters and leaves the Grunewald chain of lakes. The map was created with QGIS24 version 3.34.3 using OpenStreetMap Standard25 as background map.Schlachtensee, Krumme Lanke and Grunewaldsee have the largest surface area and the highest volume (Table 1). These lakes are natural and they are located in a forested area and they do not receive rainwater inflows from the urban areas anymore. Instead, the lakes Dianasee, Königssee, Hubertussee, Fennsee, Halensee and Hundekehlesee are surrounded by urban areas and these lakes are mainly used as rain water collectors from the motorway and the surrounding traffic areas. The lakes are used as local recreational area of inhabitants and tourists and they offer aquatic habitats for plants and animals. Due to runoff from traffic areas that enters the lakes and transports nutrients, salts and harmful substances the ecosystem is polluted causing eutrophication, odor nuisance and fish disease in the lakes. The volume ratio, which describes the relationship between the lake volume and the connected catchment areas is highest for the Hubertussee and the Fennsee. The highest amount of storm water runoff flows into the Talgraben, which connects the lakes Hubertussee and Fennsee. Characteristics of all lakes are listed in Table 1.Table 1 Characteristics of the lakes from upstream to downstream26.Full size tableThe nutrient loads of the storm water from surrounding areas are known to affect the ecosystem. Several measures27,28,29 were taken to improve the water quality, but without a long-term success. In previous monitoring programs, the water quality of individual lakes was analyzed. The lakes Schlachtensee, Krumme Lanke and Halensee have beaches and are known as bathing lakes. Therefore, a continuous monitoring program from April to September each year is conducted by the state agency according to the Bathing Water Directive30. In 2016 several lakes were monitored monthly from April to September: Dianasee, Königssee, Herthasee, Hubertussee and Fennsee. In 2017 another monthly monitoring campaign was conducted from March to October at the lakes Grunewaldsee, Dianasee at two locations, Hundekehlesee and Hubertussee at two locations. The monitoring campaigns in 2016 and 2017 identified the trophic state of the lakes (Table 2)31. Since 2021 the lakes Halensee and Fennsee are monitored monthly (with some gaps) commissioned by the district office Charlottenburg-Wilmersdorf32. So far, there has not been a monitoring campaign that covered all ten lakes over a full year with measurements on the same day. Therefore, information is missing about how the lakes affect each other and if a cascading effect on water quality takes place in the chain of lakes as highlighted in other studies7,8,9,10,11,12.Table 2 Trophic state of the lakes31.Full size tableMonitoring campaignTo better understand the nutrient load that is transported from one lake to another, a monitoring campaign was conducted starting in July 2024 and ending in July 2025. A monthly sampling of the surface water at the inlets, outlets and at the direct connections of the lakes was carried out which resulted in 17 sampling locations (Fig. 1) and 204 water samples in total. The station 16 was only measured once due to heavy vegetation at the shoreline and difficulties to reach the water phase. Station 17 was sampled since October 2024. In the field the parameters water temperature, pH-value, electrical conductivity and oxygen concentration were measured with the device WTW Multi 3630 IDS. Chlorophyll-a, water temperature, electrical conductivity and salinity were measured with the multiparameter probe YSI 6150. Water samples were held in 250 ml amber glass bottles and stored at 4 °C until analysis on the following day in the laboratory.Laboratory analysisWater samples were analyzed regarding concentrations of total phosphorus, ortho-phosphate and total nitrogen. A doubled analysis was conducted to reduce the uncertainty of the results. In total there were 455 analyses of total phosphorus, 443 analyses of ortho-phosphate and 398 analyses of total nitrogen. In July and August 2024 not all water samples were measured concerning the total nitrogen concentration because of a lack of reagents.To analyze the water samples in the photometer, water samples were prepared with test kits. Total phosphorus and total nitrogen were analyzed using unfiltered water samples and the Crack Set 10 and Crack Set 20 from the company Supelco, respectively. For total nitrogen DIN EN ISO 11905-1 is applied while for total phosphorus DIN 38405-9 is applied. For ortho-phosphate DIN EN ISO 6878 is applied. In July 2024 the photometer Spectroquant NOVA 60 of the company Merck was used and since August 2024 the photometer Spectroquant Prove 100 plus was used for further analyses.Data analysisData that was obtained in the field and in the laboratory was evaluated and analyzed using Excel from the package Microsoft Office 202133 and R version 4.4.334 and RStudio35. With the empirical variance the doubled analysis of the nutrients was tested against the uncertainty of the data. Concentrations that obtained an empirical variance higher that 0.1 were repeated. Due to the change of the photometer and due to old and contaminated cuvettes the variance of total phosphate was 3.4 in July 2024 and 1.18 on August 2024. From September 2024 to July 2025 the variance for total phosphorus was 0.0051. In July 2024 the variance of ortho-phosphate samples was 0.0056 and from August 2024 to July 2025 the variance was 0.000038. For total nitrogen the variance in July 2024 was 0.055 and from August 2024 to July 2025 the variance was 0.014. In July and August 2024, the variance of the total phosphorus analyses was 3.4 and 1.18, respectively. Therefore, for all duplicate analyses the lower concentration values were chosen for further data analyses to avoid biases. In most cases the difference between the analyses were below the threshold of 0.1 e.g., 0.0051 for total phosphorus for analyses from September 2024 to July 2025.To analyze which nutrient is limiting the algae growth, the TN: TP ratio, also known as Redfield ratio36 is investigated based on the nutrient mass for each sampling date. Following Paerl et al.21 the TN: TP ratio based on nutrient concentrations can be categorized in P-limited (TN: TP > 23), N-limited (TN: TP < 9) or Co-limited (TN: TP > 9, TN: TP < 23) and it provides the information which nutrient should be reduced to improve the water quality of a lake21,37,38,39,40,41. Lakes that are P-limited have low phosphorus concentrations and measures should be taken to keep the phosphorus concentration low. In N-limited lakes, nitrogen concentrations are low and measures should avoid an increase of nitrogen in the ecosystem. Co-limitation occurs predominantly in eutrophic lakes when both nutrients, nitrogen and phosphorus are available in high concentrations. In the range of Co-limitation, P- and N-limitation alternate quickly due to rapid changing nutrient concentrations e.g., after high release of phosphorus from the sediment, the P-limitation can quickly change to N-limitation. The data that was obtained during the monitoring campaign are located at the inlet, outlet and the direct connections of the lakes. Usually the TN: TP ratio is calculated for concentrations that were measured at the middle of the lakes. With the data obtained in the monitoring campaign, the local conditions of the inflowing and outflowing water can be described. By measuring the nutrient concentrations at the inlet and the outlet of the lakes, the nutrient transport along the chain of lakes can be assessed compared to measurements in the middle of a lake.To analyze the influences of different lake specific characteristics such as lake depth or volume ratio and the obtained parameters such as chlorophyll-a concentrations, physical and chemical parameters or nutrient concentrations on the TN: TP ratio a Boruta analysis is conducted. With the Boruta analysis the importance of parameters that affect the target variable can be investigated42. Based on random forest algorithm43 and the idea of Stoppiglia et al.44, the Boruta feature selection was developed. Stoppiglia et al.44 introduced the approach to identify significant input parameters from a data set with many dependent variables, by using a duplicate random variable which is also called a shadow variable. The shadow variables are shuffled copies of the original data set, which are added to the original data set for further analyses of several random forest classifier runs. Z scores are computed during the random forest algorithm and the maximum Z score among shadow variables is then assigned to be the threshold for determining the importance of the variables in the original data set. When the importance of a variable is higher than the maximum of the shadow, the parameter is evaluated as being important for the change of the target variable, otherwise the parameter is rejected. Due to a high number of random forest models, this method gives robust results. Here, 645 iterations of random forest models were conducted within the Boruta algorithm. The Boruta analysis was conducted using the R package Boruta45. By using the TN: TP ratio as target, the parameters of the monitoring campaign and the lake characteristics were investigated concerning their importance for the TN: TP ratio.ResultsPhysical and chemical parametersDuring the monitoring campaign at the Grunewald chain of lakes, physical and chemical parameters were measured. Table 3 gives an overview of the average values for each lake considering the measurements at the inflow and at the outflow of the lake. Along the lake chain electrical conductivity and salinity are decreasing. Increasing concentrations of chlorophyll-a, total phosphorus and ortho-phosphate can be found from Schlachtensee to Fennsee. Total nitrogen is highest in the Schlachtensee and varies between 1.03 and 1.36 mg N/l along the other lakes with an increasing trend in the directly connected lakes from Koenigssee to Fennsee, considering the average values of the monitoring campaign. The TN: TP ratio is higher in the lakes from Schlachtensee to Grunewaldsee with values ranging from 20 to 27, showing a clear phosphorus limitation at lakes that are located within the forested area. At the other lakes, that are surrounded by urban area and have high ratios between the volume of the lake and the area of urban runoff, average TN: TP is ranging from 8 to 19, showing a co-limitation of both nutrients, nitrogen and phosphorus.Table 3 Average values of the measured parameters during the monitoring campaign with O2 = Oxygen concentration, EC = Electrical Conductivity, T = Temperature, pH = pH-value, Chl-a = Chlorophyll-a concentration, Salt = Salinity, TN = Total Nitrogen concentration.Full size tableIn Fig. 2 the physical and chemical parameters obtained during the monitoring campaign are shown. It is noticeable that the oxygen concentration is reduced along the flow path through the lakes. At some dates the oxygen concentration was below 3 mg/l at the stations 13 to 17 which is a harmful condition for fishes. The lowest oxygen concentrations were mainly found in summer and autumn. Electrical conductivity varies between 500 and 800 µS/cm for the stations 1 to 11 whereas the electrical conductivity varies between 90 and 800 µS/cm at the following stations 12 to 17 in the lakes Hubertussee and Fennsee. Similar observations can be found for the salinity of the lakes. The highest electrical conductivity (1233 µS/cm) and salinity (0.64 mg/l) were found at station 14. At the lake Fennsee (Stations 14–17), water temperature is more likely to be higher during winter and lower during summer compared to other lakes and stations. For all lakes the pH-value varies between 7 and 9 with one exception in August 2024 at station 14 with a pH-value around 6. From Schlachtensee, station 1 to the station 7, Hundekehlesee chlorophyll-a ranges from 1 to 20 mg/l. Especially at lake station 8 (Dianasee), the concentration of chlorophyll-a starts to increase above 20 mg/l with the following lakes, while the highest chlorophyll-a concentration with 70.1 mg/l is found in the lake Fennsee in spring 2025.Fig. 2The alternative text for this image may have been generated using AI.Full size imagePhysical and chemical parameters from field measurements with oxygen concentration (O2 [mg/l]) in panel A, electrical conductivity (EC [µS/cm]) in panel B, water temperature (Temp [°C]) in panel C, pH-value (pH [-]) in panel D, chlorophyll-a concentration (Chl-a [µg/l]) in panel E and salinity (Salt [mg/l]) in panel F. Sampling stations are on the x-axis in the flow direction of the water. Yellow colors show measurements in summer, orange to red colors show measurements in autumn, blue colors show measurements in winter and green colors show measurements in spring.Nutrients in the chain of lakesThe nutrient concentrations in Fig. 3 visualize the contamination at the inlets, outlets and the connections of the lakes during the monitoring campaign. Total nitrogen concentrations are higher at station 1 and decrease along the lake Schlachtensee to a lower concentration in the outlet of the lake at station 2. In the lakes Krumme Lanke and Grunewaldsee total nitrogen concentrations decrease and stay between 0.4 mg N/l and 2 mg N/l over the whole monitoring campaign for the following lakes Dianasee (stations 8 and 9), Hundekehlesee (station 7), Königssee (stations 9 and 10) and Herthasee (stations 10 and 12) as well. Total nitrogen concentrations vary between 0.6 and 2.5 mg N/l in lake Halensee (station 11). In lake Fennsee (stations 14 to 17) the total nitrogen concentration is highest and varies between 0.7 and 3 mg N/l. In summer total nitrogen is highest for all measured stations compared to the other seasons. In spring lowest total nitrogen concentrations are found for all stations (Fig. 3). Total phosphorus concentrations are below 0.25 mg P/l from lakes Schlachtensee to Hundekehlesee (stations 1 to 7) in contrast to the whole chain of lakes. The phosphorus concentrations increase up to 0.4 mg P/l in lake Dianasee (stations 8 and 9). At sampling stations of the lake Fennsee (stations 14 to 17) total phosphorus concentrations are between 0.1 and 0.3 mg P/l. Along the chain of lakes, the concentrations are highest in winter for stations 1 to 7 and from stations 8 to 16 the total phosphorus concentrations are highest during summer. For all stations the lowest total phosphorus concentrations are found in spring (Fig. 3). A similar seasonal pattern is found for phosphate. The phosphate concentrations are highest during winter for stations 1 to 11 and from stations 12 to 16 the highest phosphate concentrations are found during summer. In spring the lowest phosphate concentrations are found for all stations (Fig. 3). The concentrations of ortho-phosphate vary from lake Schlachtensee (stations 1 and 2) along the lakes to lake Königssee (stations 9 and 10) between 0 and 0.1 mg P/l, while ortho-phosphate increases during winter in lake Halensee (station 11). At sampling stations from lake Fennsee (stations 14 to 17) ortho-phosphate varies between 0.05 and 0.2 mg P/l which are the highest variations of the whole chain of lakes.Fig. 3The alternative text for this image may have been generated using AI.Full size imageNutrient concentrations from field measurements with total nitrogen (TN [mg N/l]) in the top panel, total phosphorus (TP [mg N/l]) in the middle panel and ortho-phosphate (PO4-P [mg P/l]) in the bottom panel. Sampling stations are on the x-axis in the flow direction of the water. Yellow colors show measurements in summer, orange to red colors show measurements in autumn, blue colors show measurements in winter and green colors show measurements in spring. The black lines show the distribution over the seasons along the chain of lakes.Using the TN: TP ratio in Fig. 4 the limiting nutrient can be estimated from the data. The lakes Schlachtensee (stations 1 and 2), Krumme Lanke (stations 3 and 4) and Grunewaldsee (stations 5 and 6) are mainly P-limited during spring, summer and autumn and they are Co-limited during winter. Co-limitation also occurs during summer and autumn at lake Krumme Lanke (stations 3 and 4) and during spring at lake Grunewaldsee (stations 5 and 6). Most of the time lakes from Dianasee until Fennsee (stations 8 to 17) are Co-limited with some exceptions during summer at the connection between the lakes Dianasee (stations 8 and 9) and Königssee (stations 9 and 10) as well as the connection between Königssee and Herthasee (station 10) where the measurements show a P-limitation. In the lake Fennsee a N-limitation can be found at the outlet of the lake and at station 17, mainly during spring and winter.Fig. 4The alternative text for this image may have been generated using AI.Full size imageTN: TP ratio with sampling stations in flow direction along the x-axis and ranges for P-, N- and Co-limitation (P-limitation = TN: TP > 23 in blue, N-limitation = TN: TP < 9 in green, Co-limitation = TN: TP > 9 and TN: TP < 23 in orange) with boxplots for different seasons during the monitoring campaign from July 2024 to July 2025.Focusing on the inlets, outlets and the connections of the lakes the TN: TP ratio is higher at the inlets of the lakes Schlachtensee (station 1), Krumme Lanke (station 3) and Grunewaldsee (station 5) compared to their TN: TP ratio at the outlets (stations 4 and 6), except for the outlet of the Schlachtensee (station 2) in summer where a higher TN: TP ratio is found compared to the inlet (station 1). Instead, at lake Dianasee the TN: TP ratio is higher at the connection to the Königssee (station 9) compared to its inlet (station 8) TN: TP ratio. At the connections between the lakes Herthasee, Hubertussee and Fennsee (stations 12 and 13) the TN: TP ratio is higher at the inflow compared to the outflow of the lakes. Due to lake intern retention of nitrogen, the lowered nitrogen concentrations in the lakes Schlachtensee, Krumme Lanke and Grunewaldsee cause an increase of the TN: TP ratio at the outlet of the lakes. In the lakes Dianasee until Fennsee the inflowing rain water expected from measured rainfall at station Berlin-Dahlem that flows from traffic areas to the lakes dominate the shift of the TN: TP ratio in the connections of the lakes, which is also visible in Fig. 3 where the seasonal curves of total phosphorus and phosphate are increasing starting from the Dianasee. The increasing concentrations of total phosphorus and phosphate from lake Dianasee to lake Hubertussee (stations 8 to 13) show the cascading effect on the TN: TP ratio of the lakes which is lower at the outlets compared to the inlets. The strong increase of total phosphorus concentrations in common with total nitrogen concentrations that have just a small increase compared to the phosphorus concentrations, show how water that is loaded with nutrients is transported from one lake to the other.Parameter importance on nutrient limitation in urban lakesThe limitation of nutrients for algae growth is mainly driven by the nutrient concentrations itself. To better understand the aquatic ecosystems of the Grunewald chain of lakes, the measured parameters, nutrient concentrations and the volume ratio as characteristic of the surrounding areas that affect the lakes were investigated concerning their distribution over the nutrient limitation categories (Fig. 5). The parameters that affect the target variable TN: TP ratio are grouped according to the categories P-limitation (Plim), N-limitation (Nlim) and Co-limitation (Colim) and summarized as box-plots. To give an example: with the concentration of total nitrogen (TN) and total phosphorus (TP) the TN: TP ratio is calculated for each sampling date and for each sampling site. According to the TN: TP ratio the chlorophyll-a concentration at the same sampling date and sampling site is categorized in one of the three categories. That means when the TN: TP ratio is higher than 23 on sampling date 1 at sampling site 1, the chlorophyll-a concentration of sampling date 1 and sampling site 1 is categorized as P-limited. This kind of categorization is done for all parameters.Fig. 5The alternative text for this image may have been generated using AI.Full size imageDistribution of measured parameters in sub-sets for three categories of nutrient limitation (Plim = P-limitation, Nlim = N-limitation, Colim = Co-limitation).In Fig. 5 the distribution of measured parameters for the three categories of nutrient limitation (P-limitation, N-limitation and Co-limitation) are shown. The following parameters do not vary strongly comparing the three categories: salinity and electrical conductivity. A tendency of lower values in P-limited lakes can be found for the parameters chlorophyll-a, total phosphorus, phosphate and volume ratio. Strongly higher values for P-limited lakes can be found for the parameters temperature, pH value, mean depth and maximum depth. The parameters oxygen and total nitrogen do not differ strongly in the three categories, but a tendency of higher oxygen concentration in N-limited and Co-limited lakes can be found as well as lower nitrogen concentrations in N-limited lakes. The results demonstrate distinct patterns in: lake depth, showing that deeper lakes tend to P-limitation while shallower lakes tend to Co- and N-limitation; temperature, which is higher in P-limited lakes; chlorophyll-a concentrations, which are higher in P-limited lakes; and phosphorus concentrations, that are lower in P-limited lakes and higher in Co- and N-limited lakes. These findings underscore how varying physical and chemical characteristics differently impact the ten lakes of the Grunewald Lake chain.Boruta analysisIn the Boruta analysis (Fig. 6) total phosphorus has the highest importance score with a median value around 26 on the TN: TP ratio in the Grunewald chain of lakes. The importance score represents a range of values between 5 and 15 for the parameters ortho-phosphate, temperature, chlorophyll-a, volume ratio, the lake depths, total nitrogen and oxygen. Importance scores ranging from 3 to 5 are found for electrical conductivity, season, salinity and the pH-value. Importance scores below the maximum of the shadow are not important, which applies to the lake characteristic ‘type of connections between the lakes’. The ranking of the importance score provides information on which parameters should be prioritized to improve the TN: TP ratio.Fig. 6The alternative text for this image may have been generated using AI.Full size imageBoruta analysis showing the importance of parameters (y-axis) on the TN: TP ratio with blue boxplots for shadow, red as rejected and green as confirmed importance of parameters.DiscussionAlong the chain of lakes, the nutrient concentrations of total phosphorus, phosphate and total nitrogen are increasing from one lake to the next, yielding the highest nutrient loads in the last lake (Fennsee). Especially in urbanized catchments such as catchments from the lakes Dianasee to Fennsee, high phosphorus concentrations are found. With increasing phosphorus concentrations, the TN: TP ratio decreases along the chain of lakes, resulting in a shift from P-limited lakes to Co-limitation and N-limitation. The nutrient limitation in the Grunewald chain of lakes show relationships with nutrient loads, chlorophyll-a concentrations and lake characteristics such as lake depth. In the following sections, these findings are discussed separately. First, the pollution of the lakes is discussed. Secondly, the shift of the nutrient limitation along the chain of lakes is further analyzed. The discussion chapter ends with a deeper analysis on the parameters that affect the nutrient limitation in the Grunewald chain of lakes.Pollution of the lakesThe physical and chemical parameters underline the effect of sewage water from traffic areas in lakes that are more exposed to anthropogenic impact. The variation of electrical conductivity and salinity is larger for lakes with higher volume ratios (Hubertussee, Fennsee) and a catchment that is dominated by urban areas. The high amount of storm water runoff that flows in the Talgraben, the connection between the Hubertussee and Fennsee, affect both lakes after a heavy rainfall event in July 2025 which can be seen at the low electrical conductivity at stations 13 and 14. At station 17 the impact from the heavy rain event with water flowing from the streets through a lamella filter can be seen as well in July 2025. With rain water from traffic areas, soluble substances such as phosphate, salts and other organic substances can enter the lakes, cause eutrophication and increasing growth of algae. With an increase of algae growth (chlorophyll-a) there is also an increase of organic decomposition using oxygen leading to reduced oxygen concentrations. Low oxygen concentrations can impact the fixation of phosphorus on iron in the sediment as well as the denitrification and degradation of phosphorus46. Due to that, higher amounts of nutrients are not bound in the sediment, instead they stay in the water phase and increase the risk of eutrophication of lakes. In addition to the external nutrient inputs and the internal nutrient cycling, in the Grunewald chain of lakes the nutrient concentrations are transported from one lake to another. Whereas for total nitrogen a reduced concentration was found for the outflow of Schlachtensee, Krumme Lanke and Grunewaldsee. Starting from Dianasee, a higher risk of nutrient loads that are transported to the downstream lakes occurs. For total phosphorus and phosphate higher concentrations at the outflow of the lakes lead to an accumulation of high phosphorus concentrations in the last lakes Hubertussee and Fennsee. Considering the measured nutrients, especially the lake Fennsee is polluted by high amounts of nitrogen and phosphorus concentrations that affect the aquatic ecosystem. Polluted water that was transported to the lake Fennsee in the past led to an ecosystem with high nutrient loads stored in the system, but until now the Fennsee is fed with water from surrounding traffic areas that pollutes the ecosystems further in addition to nutrients that are transported along the chain of lakes. The water surface is covered by duck weed and a lot of hornworts can be identified below the water surface, which are common species in eutrophic systems47,48. The strong growth of water plants is supported by the high nutrient load in the lake. The seasonal shifts of the limiting nutrient are predominantly caused by reduced biological activity during the cold periods49 and ongoing high nutrient loads from surrounding areas in addition to the degradation of water plants and organic material18,50. Considering the physical and chemical parameters of the monitoring campaign, the Grunewald chain of lakes shows strongly decreasing water quality along the flow path. Nutrients are transported from one lake to another in addition to the high loads of sewage water to the urban lakes.The shift of the limiting nutrientDue to reduced TN: TP ratios along the chain of lakes the nutrient limitation shows a shift from P-limitation to Co-limitation. Considering the measured concentrations of the nutrients, a decrease of nitrogen causes the shift to Co-limitation from lakes Krumme Lanke to Hundekehlesee. The concentration of total phosphorus is mainly stable and at low levels at these stations. Starting in the lake Dianasee, total phosphorus increases while total nitrogen stays stable, which causes the shift to a Co-limitation at the following lakes. Due to high total nitrogen concentrations in the lake Fennsee a N-limitation occurs during spring and winter.The reduction of phosphorus at the surface water treatment plant Beelitzhof works well for the first three lakes of the Grunewald chain of lakes. These lakes are P-limited and further reduction of phosphorus is applicable to these lakes. According to Hilt et al.12 through the domino effect of connected lakes the last lake in a chain of lakes should profit from restoration measures as found in their study. At the Grunewald chain of lakes, the reverse of the flow direction improved the water quality of the first three lakes in 1981, but the following lakes from Dianasee to the Fennsee did not recover from the high nutrient loads in the past. The positive domino effect does not take place at the Grunewald chain of lakes as intended. Teurlincx et al.7 point out the cascading collapse of ecological states in connected water bodies which was found in their literature review on water quality of connected lakes. The reason for that might be the high amount of nutrients coming from the urbanized catchment into the lakes7. The high nutrient load from the surrounding urban area is also the main driver for the shift of the limiting nutrient for algae growth in the Grunewald chain of lakes. Higher concentrations of nitrogen cause a Co-limitation and at some stations (stations 12 to 17) a N-limitation. The variation of the TN: TP ratio and the limiting nutrient over time and over the seasons was also found by a study focusing on different lakes in England, where a shift of the TN: TP ratio was found over the seasons51. A reduction of both nutrients, nitrogen and phosphorus is likely to be more effective for urban lakes such as lakes of the Grunewald chain of lakes21,38,52. Most importantly, the inflowing nutrient loadings should be reduced. Moreover, it has to be considered that lake characteristics can influence the trophic state and nutrient limitation as well as the nutrient concentrations. In the study of McCullough et al.16 more than 3800 lakes in the United States were investigated considering their TN: TP ratio and the importance of parameters on the nutrient limitation. They found that the shift of the TN: TP ratio can also be caused by lake depth. These findings are complemented by the study of Qin et al.15 which shows that shallow lakes are more likely to be Co-limited and eutrophic, while deep lakes are more often P-limited. These findings are confirmed by our results. In the Grunewald chain of lakes, the first three lakes are deeper than the lakes Dianasee to Fennsee which are shallow lakes with mean depths around 2 m. The shallow lakes in the Grunewald chain of lakes are predominantly Co-limited and in some seasons N-limited, while the deeper lakes Schlachtensee to Grunewaldsee are P-limited. The shifts from P- to N-limitation were also found at other lakes in Berlin that were described as shallow and eutrophic53. The shift of the limiting nutrient was found as a general feature of lakes that is caused by seasonal changes in the rates of denitrification which is a major sink of nitrogen in lakes54,55, while the release of phosphorus from the sediment is described as an important internal source46. Moreover, in case of low oxygen concentrations at the sediment-water interface, the release of phosphorus from the sediment is increased46 as well as during higher temperatures in spring and summer that support the denitrification and the release of phosphorus46. The Grunewald chain of lakes, is dealing with several factors that affect the water quality and the nutrient limitation on algae growth. Upstream lakes are located in forested areas and have less inputs of urban areas compared to the downstream lakes that are surrounded by urban area and are used as storm water retention lakes. Moreover, downstream lakes are shallower than the upstream lakes, which make them more prone to shorter residence time and decreased degradation of nutrients. Most importantly, the chain of lakes is dealing with cascading effects with nutrient loadings that are transported from upstream to downstream lakes. To better understand the characteristics influencing the nutrient limitation in the Grunewald chain of lakes further analysis about the importance of parameters on the TN: TP ratio is conducted.Parameters affecting the TN:TP ratioIn the Grunewald chain of lakes chlorophyll-a is more dominant in lakes that are N-limited or Co-limited while P-limited lakes show a small amount of chlorophyll-a. Chlorophyll-a as indicator for phytoplankton and algae growth gives important information about the necessity of limiting phosphorus in lakes being more important than limiting nitrogen. In the study of Li et al.56 they analyzed the limiting nutrient in four constructed ponds where each pond receives a different amount of phosphorus, nitrogen and a combination of both to investigate the growth and community of phytoplankton as well as the limiting nutrient. They found out that the pond that received only phosphorus got the highest concentrations of chlorophyll-a. Their findings reveal that a limitation of phosphorus is necessary to control the phytoplankton growth. McCullough et al.16 revealed chlorophyll-a as the most important predictor for nutrient limitation in lakes, which was also found by Liang et al.18. In our study, chlorophyll-a does also have a high importance on the TN: TP ratio, but total phosphorus has a higher importance score on the TN: TP ratio in the Grunewald chain of lakes. Focusing on the nutrient concentrations in the Grunewald chain of lakes it becomes obvious that phosphorus plays a larger role in nutrient limitation than nitrogen. Total nitrogen concentrations vary to a less extent in the nutrient limitation categories whereas total phosphorus and ortho-phosphate are more damped in P-limited lakes than in N- and Co-limited lakes. Even though this behavior seems to be obvious, it is very important to consider that phosphorus plays a major role in the shift of TN: TP compared to nitrogen. These assumptions are complemented by the Boruta analysis which was conducted with the TN: TP ratio as target variable.Considering the importance score of lake characteristics such as volume ratio and depth of the lake as well as the location which describes the sequence of the sampling stations along the flow path, the surrounding traffic areas and the discharge to the lakes affect the TN: TP ratio. Our study focuses on urban lakes and shows in addition to the study of McCullough et al.16 that other variables than chlorophyll-a such as lake depth and the concentrations of phosphate and total phosphorus can have a stronger importance on the limiting nutrient and also for the trophic state, than in studies where a high amount of different lakes that are not only affected by urban areas are investigated.For the Grunewald chain of lakes a reduction of phosphorus to yield a P-limitation in the lakes is recommended, but still it should be considered for shallow water bodies that a reduction of both nutrients, phosphorus and nitrogen, can be applicable if the internal load of phosphorus is high39,57,58,59,60. The reduction of both nutrients were found relevant especially for eutrophic lakes61. Considering the phosphorus concentrations of the Grunewald chain of lakes investigated in our study, especially the lakes from Dianasee to Fennsee can be classified as eutrophic. In combination with their shallow morphology and the high load of nutrients from surrounding traffic areas a Co-limitation of phosphorus and nitrogen is recommended62.ConclusionThis study investigates the water quality of the Grunewald chain of lakes, consisting of ten urban lakes in Berlin, Germany. The Grunewald chain of lakes is affected by anthropogenic impacts due to storm water that flows from the surrounding urban and traffic areas through pipes and canals to the lakes where the nutrient and contaminant rich water is stored. Most of the aquatic ecosystems suffer from high nutrient loads which cause fish disease and an eutrophic state. Over a period of 13 months, the inlets, outlets and direct connections of the lakes were monitored by taking water samples that were analyzed according to the concentration of total phosphorus, ortho-phosphate and total nitrate in addition to the physical and chemical parameter temperature, electrical conductivity, salinity, pH-value, oxygen concentration and chlorophyll-a concentration that were obtained in the field. The monitoring data supports a better understanding of the exchange between the lakes and the limiting nutrient on algae growth. Increasing phosphorus concentrations were found along the chain of lakes which showed a cascading effect on the water quality, expressed as TN: TP ratio. Along the lake chain, the TN: TP ratio decreased and shifted from P-limitation in forest dominated lake catchments to Co-limitation and N-limitation in urbanized lake catchments. Analyzing the TN: TP ratio for the inlets, outlets and connections of the ten lakes showed P-limitation for deeper lakes and mainly Co-limitation and sometimes N-limitation for shallow lakes. This study reveals that the TN: TP ratio helps to understand the limiting nutrient in general, but more parameters should be considered for further management of the lakes. Phosphorus was the most important driver on the TN: TP ratio for all urban lakes as revealed in the Boruta analysis, in which the importance of physical and chemical parameters such as electrical conductivity or oxygen concentrations and lake characteristics such as depth or volume ratio on the TN: TP ratio were investigated. Even though phosphorus is meant to be the main threat to the aquatic ecosystem, for shallow, eutrophic lakes, a management of both nutrients, phosphorus and nitrogen, is recommended, especially the reduction of external inputs through drainage filter systems. Further research on the TN: TP ratio and further management of eutrophic lakes should consider the different characteristics of lakes such as lake depth and volume ratio. Future studies should focus on the nutrient sources in connected aquatic systems. In this study we show, how urban lakes are affected by high loads of nutrients and that even in connected systems, different management strategies should be considered for the individual situations of the lakes and their anthropogenic pressure. Furthermore, future research should emphasize the development of management strategies for urban lakes, including the treatment of stormwater runoff from traffic-areas and the implementation of in-lake measures to improve the biological and chemical degradation of nutrients.

    Data availability

    The datasets generated and/or analysed during the current study are available in the LeoPard repository of the University Library of the Technical University of Braunschweig, https://doi.org/10.24355/dbbs.084-202601261338-0.
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    Download referencesAcknowledgementsThis research was supported by the Deutsche Bundesstiftung Umwelt and the field scholarship of Deutsche Hydrologische Gesellschaft. We are thankful for the permission to conduct the study by the Bezirksamt Charlottenburg-Wilmersdorf of Berlin, the Forstamt Grunewald of Berliner Forsten and the Bezirksamt Steglitz-Zehlendorf of Berlin.FundingOpen Access funding enabled and organized by Projekt DEAL. The study was funded by the German Federal Environmental Foundation (DBU, grant no. 38239) and by the field scholarship of the German Hydrological Society (DHG).Author informationAuthors and AffiliationsLeichtweiss Institute for Hydraulic Engineering and Water Resources, Division of Hydrology and River Basin Management, Technische Universität Braunschweig, Braunschweig, GermanyChristina F. Radtke, Nick Heinemann, Arne Höring & Kai SchröterAuthorsChristina F. RadtkeView author publicationsSearch author on:PubMed Google ScholarNick HeinemannView author publicationsSearch author on:PubMed Google ScholarArne HöringView author publicationsSearch author on:PubMed Google ScholarKai SchröterView author publicationsSearch author on:PubMed Google ScholarContributionsCR designed and conducted the study; CR conducted the field and laboratory work together with NH and AH. CR analyzed the data and drafted the manuscript. KS conceptualized, edited and reviewed the manuscript.Corresponding authorCorrespondence to
    Christina F. Radtke.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s noteSpringer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
    Reprints and permissionsAbout this articleCite this articleRadtke, C.F., Heinemann, N., Höring, A. et al. Identification of chemical and physical key water quality drivers in the urban Grunewald Chain of Lakes, Berlin.
    Sci Rep 16, 15222 (2026). https://doi.org/10.1038/s41598-026-53251-7Download citationReceived: 06 January 2026Accepted: 11 May 2026Published: 16 May 2026Version of record: 16 May 2026DOI: https://doi.org/10.1038/s41598-026-53251-7Share this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
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    KeywordsConnected water bodiesNutrient limitationUrban lakesMonitoringWater quality More

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    Overcoming single model bias through GRACE and multi model data reveals Iran water storage depletion drivers

    AbstractRapid changes in terrestrial water storage (TWS) pose serious threats to water security in arid and semi-arid regions such as Iran. However, the inherent uncertainties of individual hydrological models hinder robust assessments of the respective impacts of natural variability and anthropogenic influence on water storage dynamics in these areas. To address this issue, our study integrates GRACE/GRACE-FO satellite gravity data, five mainstream hydrological models (GLDAS-Noah, GLDAS-VIC, GLDAS-CLSM, ERA5, and WGHM), and GPM global precipitation data. Four observational datasets related to precipitation, runoff, and evapotranspiration were derived, and 64 different hydrological model combinations were constructed. These combinations were comprehensively evaluated against Mascon products as a benchmark. Ultimately, the model combination with the best fitting performance was selected for spatial and temporal variation analysis and attribution analysis. The findings reveal that: (1) The model combination constructed using ERA5-derived evapotranspiration and runoff data, combined with precipitation data from VIC/CLSM, exhibits the highest consistency with Mascon data. (2) In densely populated northern and southwestern regions, the natural water flux shows significant upward trends. Nevertheless, TWSA declines there because anthropogenic extraction (captured in the net residual) outweighs the natural increase, causing groundwater discharge to surface systems and amplifying evapotranspiration and runoff losses. (3) In sparsely populated arid central regions, TWSA remains relatively stable, with an average annual natural water anomaly change rate of approximately + 0.01 cm/yr, primarily due to the offsetting effects of precipitation and evapotranspiration. This study systematically evaluates the applicability of a multi-model approach in arid regions. The integrated hydrological modeling framework developed herein provides a methodology for selecting model configurations and quantifying associated uncertainties in water storage assessment, thereby offering a scientific basis for sustainable water resource management in arid environments.

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    FundingThis work is mainly sponsored by the Natural Science Foundation of China (42064001);the Natural Science Foundation of China (42374017) and the Graduate Innovation Fund of East China University of Technology (YC2024-B205).Author informationAuthors and AffiliationsSchool of Surveying and Geoinformation Engineering, East China University of Technology, Nanchang, 330013, ChinaXilong YuanCollege of Surveying and Geo-informatics, Tongji University, Shanghai, ChinaFengwei WangSchool of Geographical Sciences, University of Bristol, Bristol, BS8 1SS, UKYunqi ZhouSchool of Software, Nanchang Hangkong University, Nanchang, 330063, ChinaShijian ZhouAuthorsXilong YuanView author publicationsSearch author on:PubMed Google ScholarFengwei WangView author publicationsSearch author on:PubMed Google ScholarYunqi ZhouView author publicationsSearch author on:PubMed Google ScholarShijian ZhouView author publicationsSearch author on:PubMed Google ScholarCorresponding authorCorrespondence to
    Yunqi Zhou.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s NoteSpringer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
    Reprints and permissionsAbout this articleCite this articleYuan, X., Wang, F., Zhou, Y. et al. Overcoming single model bias through GRACE and multi model data reveals Iran water storage depletion drivers.
    Sci Rep (2026). https://doi.org/10.1038/s41598-026-51961-6Download citationReceived: 30 October 2025Accepted: 30 April 2026Published: 15 May 2026DOI: https://doi.org/10.1038/s41598-026-51961-6Share this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
    Provided by the Springer Nature SharedIt content-sharing initiative
    KeywordsGRACEHydrological modelsTWSALeast-squares methodLinear trend More

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    Evaluation and prediction of Seybouse river water quality using response surface methodology and machine learning

    AbstractClimate change and human activity are posing an increasing danger to water quality. Surface water in Algeria, especially in semi-arid areas, is under increasing pressure from industrial and urban discharges, and there is still a dearth of scientific information regarding its quality and appropriateness for irrigation. This study’s goal was to assess the physico chemical properties and surface water irrigation quality at nine locations along the Seybouse River in northeastern Algeria, thereby addressing an important lack of information in an area with little monitoring. The current study looked at nine sampling sites to assess the river Water Quality Index (WQI), sodium absorption rate (SAR), soluble sodium percentage (SSP), and Kelly Ratio (KR). Artificial Neural Network (ANN) and Response Surface Methodology (RSM) inspired machine learning (ML) approaches were used to enhance the evaluations utilizing Principal Component Analysis (PCA) data, representing 82.08% of the entire collection of data. The study’s findings demonstrate that the ANN forecasting of WQI, SSP, SAR, and KR is more accurate than the RSM models. The ANN models achieved superior predictive performance with R2 values of 98.20%, 98.39%, 99.85%, and 97.24% and remarkably low Mean Squared Errors (MSE) of 0.0451, 0.0231, 0.0241, and 0.0167, respectively. Furthermore, the low Root Mean Square Error (RMSE) values for ANN (ranging from 0.0211 to 0.0521) confirm its high precision compared to RSM. In comparison, RSM models yielded R2 values of 97.10%, 96.37%, 97.06%, and 97.20% with slightly higher error margins. According to this result, ANN and RSM-BBD forecasting methods provide an accurate alternative in forecasting. Furthermore, ML improves the monitoring of water quality and gives water managers the ability to control water quality indicators. Developers may find this research useful if they require accurate water quality data to assist them create plans for managing water supplies.

    AbbreviationsAI :
    Artificial intelligence
    ML:
    Machine learning
    ANN:
    Artificial neural network
    MLP :
    Multilayer perceptron
    BBD:
    Box–Behnken design
    RSM :
    Response surface methodology
    ANOVA:
    Analysis of variance
    PCA:
    Principal component analysis
    SAR:
    Sodium absorption ratio
    WQI:
    Water quality index
    SSP:
    Soluble sodium percentage
    KR:
    Kelly ratio
    R2
    :
    Determination coefficient
    P:
    Probability
    MS:
    Mean of squares
    SS:
    Sum of squares
    MSE:
    Mean square error
    RMSE:
    Root mean square error
    MAPE:
    Mean absolute percentage error
    AcknowledgementsThe authors acknowledge the financial support through Ongoing Research Funding program (ORF-2026-688), King Saud University, Riyadh, Saudi Arabia.FundingNo funding was received for conducting this study.Author informationAuthors and AffiliationsLGCH Laboratory, University 8 Mai 1945, Guelma, AlgeriaMazouz Kherouf, Ammar Maoui & Messaouda BoumaazaMechanical Engineering Department, Faculty of Technology, University 20 Août 1955, Skikda, AlgeriaAhmed BelaadiDepartment of Chemistry, College of Science, King Saud University, PO Box 2455, 11451, Riyadh, Saudi ArabiaMahmood M. S. AbdullahDepartment of Mathematics and Statistics, Kyambogo University, Kampala, UgandaHerbert MukalaziChemical Engineering Department, College of Engineering, University of Ha’il, PO Box 2440, 81441, Ha’il, Saudi ArabiaDjamel GhernaoutSchool of Chemistry and Chemical Engineering, Southeast University, Nanjing, ChinaAmar Al-KhawlaniAuthorsMazouz KheroufView author publicationsSearch author on:PubMed Google ScholarAmmar MaouiView author publicationsSearch author on:PubMed Google ScholarMessaouda BoumaazaView author publicationsSearch author on:PubMed Google ScholarAhmed BelaadiView author publicationsSearch author on:PubMed Google ScholarMahmood M. S. AbdullahView author publicationsSearch author on:PubMed Google ScholarHerbert MukalaziView author publicationsSearch author on:PubMed Google ScholarDjamel GhernaoutView author publicationsSearch author on:PubMed Google ScholarAmar Al-KhawlaniView author publicationsSearch author on:PubMed Google ScholarCorresponding authorsCorrespondence to
    Ahmed Belaadi or Herbert Mukalazi.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s noteSpringer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
    Reprints and permissionsAbout this articleCite this articleKherouf, M., Maoui, A., Boumaaza, M. et al. Evaluation and prediction of Seybouse river water quality using response surface methodology and machine learning.
    Sci Rep (2026). https://doi.org/10.1038/s41598-026-51852-wDownload citationReceived: 11 February 2026Accepted: 30 April 2026Published: 14 May 2026DOI: https://doi.org/10.1038/s41598-026-51852-wShare this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
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    KeywordsWater quality indicesPredictionArtificial neural networksResponse surface methodologyNortheast-Algeria More

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    Drought impacts, recovery and legacy effects on vegetation productivity in the Yellow River Basin (2001–2023)

    AbstractWhile increasing vegetation productivity in dryland basins may mask declining functional resilience, we quantified drought impacts and post-drought recovery across the Yellow River Basin from 2001 to 2023. By integrating MODIS gross primary productivity, the 3-month Standardized Precipitation Evapotranspiration Index, and hydro-climatic covariates, this study characterized the spatiotemporal dynamics of ecosystem resilience under a drought background without clear basin-wide alleviation. Although significant greening was detected across 72.2% of natural-vegetation sampling locations and basin-wide mean monthly GPP showed a positive long-term trend, there was no comparable basin-wide alleviation in the 3-month Standardized Precipitation Evapotranspiration Index drought conditions. Instantaneous drought impacts were also spatially heterogeneous: the Upstream showed both the most negative mean drought-month GPPZ anomaly and the most negative sampling-location-level minimum GPPZ during drought months. By contrast, the Midstream was more prominent in post-drought recovery constraints. Post-drought recovery trajectories showed pronounced spatial heterogeneity, with a basin-wide mean recovery time (RT) of 6.79 ± 2.21 months. We identified a distinct resilience bottleneck in the Midstream Loess Plateau, where the mean RT reached 7.44 ± 1.95 months, longer than the 5.27 ± 2.45 months observed in the Upstream source region. The positive correlation between RT and climatic water deficit (r = 0.423) supports a “Green Trap” interpretation, suggesting that structural greening may be associated with increased water stress and extended recovery periods. These empirical patterns indicate that productivity gains do not necessarily translate into enhanced stability, emphasizing the importance of aligning vegetation structure and restoration intensity with regional hydro-climatic limits to ensure long-term ecosystem resilience.

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    FundingThis research has been supported by the Major Science and Technology Innovation Demonstration Projects in Inner Mongolia Autonomous Region of China (Grant no.2025ZDSF0010-01), Shaanxi Provincial Key Research and Development Program (Project No. 2024SF-ZDCYL-05-10), Technology Innovation Leading Program of Shaanxi (Program No. 2024QY-SZX-27).Author informationAuthors and AffiliationsXi’an University of Technology, Xi’an, 710065, ChinaQian Wan, Peng Li & Shixuan ZhouPowerChina Northwest Engineering Corporation Limited, Xi’an, 710065, ChinaYongxiang Cao & Kunming LuShaanxi Union Research Center of University and Enterprise for River and Lake Ecosystems Protection and Restoration, Xi’an, 710065, ChinaYongxiang Cao & Kunming LuXi’an University of Science and Technology, Xi’an, 710065, ChinaHeng WuAuthorsQian WanView author publicationsSearch author on:PubMed Google ScholarPeng LiView author publicationsSearch author on:PubMed Google ScholarYongxiang CaoView author publicationsSearch author on:PubMed Google ScholarHeng WuView author publicationsSearch author on:PubMed Google ScholarKunming LuView author publicationsSearch author on:PubMed Google ScholarShixuan ZhouView author publicationsSearch author on:PubMed Google ScholarCorresponding authorCorrespondence to
    Peng Li.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s noteSpringer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Supplementary InformationBelow is the link to the electronic supplementary material.Supplementary Material 1 (download DOCX )Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
    Reprints and permissionsAbout this articleCite this articleWan, Q., Li, P., Cao, Y. et al. Drought impacts, recovery and legacy effects on vegetation productivity in the Yellow River Basin (2001–2023).
    Sci Rep (2026). https://doi.org/10.1038/s41598-026-52350-9Download citationReceived: 14 March 2026Accepted: 05 May 2026Published: 14 May 2026DOI: https://doi.org/10.1038/s41598-026-52350-9Share this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
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    KeywordsEcosystem resilienceRecovery timeGreen trapYellow River Basin More

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    A water quantity-quality monitoring system to assess the impact of anthropogenic activities on urban rivers

    AbstractRiver monitoring plays a pivotal role in evaluating urban water quality status, detecting pollution events and their potential sources, and guiding the development of effective intervention strategies. In complex river networks, water quality degradation can stem from urban factors, such as inadequate sewer system management or runoff from contaminated surfaces during rainfall, as well as from external inputs linked to agricultural or industrial activities in surrounding areas. Accurately identifying the primary drivers of water quality deterioration is essential for designing targeted action plans and predicting their effectiveness. Although sporadic water sampling or visible indicators, such as foul odors during low-flow periods, can reveal quality impairment, more detailed information is required to differentiate pollution sources, thus, to implement appropriate restoration and mitigation measures. This study presents a monitoring system designed and tested to distinguish pollutants originating from urbanized areas from those associated with external activities (e.g., agriculture, industry), addressing the common challenge of prioritizing interventions for urban river improvement. The Sile River and the city of Treviso (Italy) were selected as a case study to validate the system and monitoring approach. Developed between 2021 and 2023, the system is characterized by six stations equipped with radar sensors for continuous water level and velocity measurements, three of which also feature multiparametric probes and refrigerated samplers. Two additional portable samplers allow for flexible sampling at other relevant locations. Both high-frequency (grab samples) and low-frequency (daily composite samples) monitoring strategies were implemented. Since 2023, the system collects data on the urban area’s impact during both dry and wet weather conditions and identifies temporal behaviour of physical and chemical species, providing a comprehensive overview of the Sile River’s current status. Data analysis developed through correlation, multilinear regression, principal component analysis, and load balance methods reveals which water quality parameters serve as indicators of specific pollution origins, ultimately supporting targeted improvement actions. Escherichia coli and Ptot resulted to be primarily associated with urban activities and indicative of sewer system contributions in both downtown and surrounding areas, whereas NO₃-N reflected agricultural inputs. Insights gained during the first two years of monitoring confirm the system’s effectiveness in assessing urban river quality and distinguishing between urban and agricultural contributions. Furthermore, the findings inform the design of monitoring programs for similar urban river contexts. After two years of operation, the study summarizes the strengths and limitations of the implemented system and evaluates its applicability to other case studies.

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    AbbreviationsCSS:
    Combined sewer system
    CSO:
    Combined sewer overflow
    HF,LF:
    High-frequency, low-frequency
    WWTP:
    Wastewater treatment plant
    ARPAV:
    Agenzia regionale protezione ambiente veneto
    WFD:
    Water framework directive
    WMP:
    Water monitoring program
    ADCP:
    Acoustic Doppler current profiler
    ISE:
    Ion selective electrodes
    Q:
    discharge
    y:
    water level
    v:
    water velocity
    Tw
    :
    water temperature
    pH:
    potential of hydrogen
    EC:
    Electrical conductivity
    DO:
    Dissolved oxygen
    Turb:
    Turbidity
    h:
    rainfall height
    TA
    :
    air temperature
    UFC:
    Colony-forming units
    AcknowledgementsThe authors thank Alto Trevigiano Servizi Spa for financing the instrumentation needed to develop and maintain the monitoring system, as well as for providing the necessary information regarding the sewer system of the municipality of Treviso.FundingFunding for this research was provided by the water utility company Alto Trevigiano Servizi Spa through the 2019 project “Studio dell’interazione fra scarichi fognari e corpi idrici ricettori nella città di Treviso (Study of the Interaction between Sewage Discharges and Receiving Water Bodies in the City of Treviso)” and the 2021–2023 PhD Research Project “Impact of Urban Drainage and Sewerage Systems on the Quality of Water Bodies and Mitigation Strategies”.Author informationAuthors and AffiliationsDepartment of Civil, Environmental and Architectural Engineering (DICEA), University of Padova, Padova, ItalyGiulia Mazzarotto & Paolo SalandinAuthorsGiulia MazzarottoView author publicationsSearch author on:PubMed Google ScholarPaolo SalandinView author publicationsSearch author on:PubMed Google ScholarCorresponding authorCorrespondence to
    Giulia Mazzarotto.Ethics declarations

    Competing interests
    The authors declare no competing interests.

    Additional informationPublisher’s noteSpringer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Electronic Supplementary MaterialBelow is the link to the electronic supplementary material.Supplementary Material 1 (download DOCX )Rights and permissions
    Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
    Reprints and permissionsAbout this articleCite this articleMazzarotto, G., Salandin, P. A water quantity-quality monitoring system to assess the impact of anthropogenic activities on urban rivers.
    Sci Rep (2026). https://doi.org/10.1038/s41598-026-51624-6Download citationReceived: 08 August 2025Accepted: 29 April 2026Published: 13 May 2026DOI: https://doi.org/10.1038/s41598-026-51624-6Share this articleAnyone you share the following link with will be able to read this content:Get shareable linkSorry, a shareable link is not currently available for this article.Copy shareable link to clipboard
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    KeywordsUrban riversUrban pollutionAgricultural pollutionDischarge measurementsMultiparametric probesAutomatic samplers More