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17 pages, 1214 KB  
Article
Conservation Laws, Soliton Dynamics, and Stability in a Nonlinear Schrödinger Equation with Second-Order Spatiotemporal Dispersion
by Naila Nasreen, Ismat Latif, Kashifa Basheer, Muhammad Arshad and Zhaoliang Jiang
Mathematics 2026, 14(1), 54; https://doi.org/10.3390/math14010054 (registering DOI) - 23 Dec 2025
Abstract
This paper presents the construction of exact wave solutions for the generalized nonlinear Schrödinger equation (NLSE) with second-order spatiotemporal dispersion using the modified exponential rational function method (mERFM). The NLSE plays a vital role in various fields such as quantum mechanics, oceanography, transmission [...] Read more.
This paper presents the construction of exact wave solutions for the generalized nonlinear Schrödinger equation (NLSE) with second-order spatiotemporal dispersion using the modified exponential rational function method (mERFM). The NLSE plays a vital role in various fields such as quantum mechanics, oceanography, transmission lines, and optical fiber communications, particularly in modeling pulse dynamics extending beyond the traditional slowly varying envelope estimation. By incorporating higher-order dispersion and nonlinear effects, including cubic–quintic nonlinearities, this generalized model provides a more accurate representation of ultrashort pulse propagation in optical fibers and oceanic environments. A wide range of soliton solutions is obtained, including bright and dark solitons, as well as trigonometric, hyperbolic, rational, exponential, and singular forms. These solutions offer valuable insights into nonlinear wave dynamics and multi-soliton interactions relevant to shallow- and deep-water wave propagation. Conservation laws associated with the model are also derived, reinforcing the physical consistency of the system. The stability of the obtained solutions is investigated through the analysis of modulation instability (MI), confirming their robustness and physical relevance. Graphical representations based on specific parameter selections further illustrate the complex dynamics governed by the model. Overall, the study demonstrates the effectiveness of mERFM in solving higher-order nonlinear evolution equations and highlights its applicability across various domains of physics and engineering. Full article
(This article belongs to the Section E: Applied Mathematics)
24 pages, 7749 KB  
Article
Synthesis of Aluminum-Based MOF and Cellulose-Modified Al-MOF for Enhanced Adsorption of Congo Red Dye
by Ceyda Duyar and Asgar Kayan
Inorganics 2026, 14(1), 6; https://doi.org/10.3390/inorganics14010006 - 23 Dec 2025
Abstract
The synthesis of two novel materials, aluminum-based MOF (Al-MOF) and cellulose-modified MOF (Al-MOF@C), as adsorbents is presented. Al-MOF was synthesized from aluminum sec-butoxide and terephthalic acid in a 1:1 molar ratio using a solvothermal method. Al-MOF@C was synthesized under similar solvothermal conditions [...] Read more.
The synthesis of two novel materials, aluminum-based MOF (Al-MOF) and cellulose-modified MOF (Al-MOF@C), as adsorbents is presented. Al-MOF was synthesized from aluminum sec-butoxide and terephthalic acid in a 1:1 molar ratio using a solvothermal method. Al-MOF@C was synthesized under similar solvothermal conditions by reacting environmentally friendly starting materials such as aluminum sec-butoxide, terephthalic acid, and cellulose in a 1:1:1 molar ratio. The synthesized materials’ structural, morphological, and surface properties were thoroughly characterized using XRD, SEM, EDS, BET (with specific surface areas calculated as 563.9 m2/g for Al-MOF and 487.1 m2/g for Al-MOF@C), and FTIR analyses. Then they were utilized in the water treatment process to remove the highly toxic anionic Congo red (CR) dye. Dye adsorption studies were carried out using UV-Vis spectroscopy. Batch adsorption experiments showed that Al-MOF and Al-MOF@C materials adsorbed CR dye with removal efficiencies of 95.06% and 91.79% in just 4 min, respectively. The equilibrium adsorption isotherm data for Al-MOF and Al-MOF@C were best fitted by the Langmuir model, and the calculated maximum adsorption capacities were 80.64 mg/g and 68.96 mg/g, respectively. The adsorption kinetics exhibited an excellent correlation with the pseudo-second-order model (R2 = 0.9975 for Al-MOF and R2 = 0.9936 for Al-MOF@C). Measurements taken after the adsorption process showed that Al-MOFs synthesized using environmentally friendly chemicals retained their stable chemical structure in aqueous environments and thus did not create secondary pollution in the environment, highlighting the importance of this study. Chemically stable, thermodynamically favorable, and highly reusable Al-MOF adsorbents offer a promising solution for the advanced environmental remediation of hazardous dye contaminants. Full article
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29 pages, 13852 KB  
Article
Ternary Interactions of Starch, Protein, and Polyphenols in Constructing Composite Thermoplastic Starch-Based Edible Packaging: Optimization of Preparation Techniques and Investigation of Film-Formation Mechanisms
by Anna Wang, Jingyuan Zhang and Ligen Wu
Foods 2026, 15(1), 36; https://doi.org/10.3390/foods15010036 - 22 Dec 2025
Abstract
Biodegradable starch-based films often suffer from insufficient mechanical strength, which limits their practical applications. To enhance film performance, this study optimized the preparation of composite thermoplastic starch (CTPS) films composed of corn starch, sorbitol, whey protein isolate (WPI), and gallic acid (GA). The [...] Read more.
Biodegradable starch-based films often suffer from insufficient mechanical strength, which limits their practical applications. To enhance film performance, this study optimized the preparation of composite thermoplastic starch (CTPS) films composed of corn starch, sorbitol, whey protein isolate (WPI), and gallic acid (GA). The optimized formulation—0.074 g/mL corn starch, 47.5% sorbitol, 5.6% WPI, and 2.0 mg/mL GA—yielded films with a tensile strength of 3.11 ± 0.31 MPa and an elongation at break of 43.35 ± 0.69%, achieving a desirable balance between flexibility and strength. Mechanistic investigations using in situ Fourier-transform infrared spectroscopy (FTIR), low-field nuclear magnetic resonance (LF-NMR), confocal laser scanning microscopy (CLSM), and molecular docking revealed a ternary interaction system among starch, WPI, and GA. These components primarily interacted through hydrogen bonding and van der Waals forces. Such non-covalent interactions enhanced the short-range molecular ordering of the starch matrix, stabilized the secondary structure of WPI, and facilitated water redistribution during film formation. The resulting interaction network among starch, proteins, and polyphenols significantly improved the mechanical properties and antioxidant capacity of the CTPS films. Full article
(This article belongs to the Special Issue Using Biodegradable Films and Coatings for Food Packaging Materials)
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25 pages, 7054 KB  
Article
Comparative Study of Biochar from Different Biomass Feedstocks: Toward Sustainable Resource Utilization and Environmental Applications
by Nina Đukanović, Tamara Apostolović, Jasmina Anojčić, Sanja Mutić, Tijana Marjanović Srebro, Gábor Kozma, Cora Deák, Snežana Maletić and Jelena Beljin
Molecules 2026, 31(1), 37; https://doi.org/10.3390/molecules31010037 - 22 Dec 2025
Abstract
This study examines the structural, chemical, and thermal properties of biochars from slow pyrolysis of hardwood (HW), corn cob (CC), and wheat straw (WS) at 400 °C and 700 °C, evaluating their potential in environmental and industrial applications. A combination of spectroscopic, crystallographic, [...] Read more.
This study examines the structural, chemical, and thermal properties of biochars from slow pyrolysis of hardwood (HW), corn cob (CC), and wheat straw (WS) at 400 °C and 700 °C, evaluating their potential in environmental and industrial applications. A combination of spectroscopic, crystallographic, thermal, and microscopic techniques was employed to monitor the degradation of biomass components and the development of the carbonaceous matrix. The results show that pyrolysis temperature has a significant impact on the properties of biochar. Higher temperatures (700 °C) increased the pH (up to 10.3 for WS700), the carbon content (e.g., 89.8% for HW700), the ash content (up to 24.8% for WS700), and the specific surface area (e.g., 306.87 m2/g for CC700) while decreasing polar functional groups and volatile matter (as confirmed by FTIR). SEM showed enhanced porosity at 700 °C, which was supported by BET analysis. XRD and Raman showed increased graphitization and structural order with temperature, especially for HW and CC biochars, while WS biochars retained mineral components like SiO2 and CaCO3. TGA analysis showed improved thermal stability at 700 °C only for biochar derived from wheat straw, while HW and CC biochars showed similar total mass loss regardless of pyrolysis temperature. These biochars exhibit high potential for soil remediation (high pH), water purification (large surface area), and carbon storage (high aromaticity), with HW700 and CC700 also suitable for high-temperature industrial applications due to their stability. Full article
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21 pages, 5995 KB  
Article
Assessment of Future Water Stress of Winter Wheat and Olive Trees in Greece Using High-Resolution Climate Model Projections
by Angeliki Elvanidi, Persefoni Maletsika, Nikolaos Katsoulas, Giorgos Papadopoulos, Dimitrios Melas, Kostas Douvis, Ioannis Faraslis, Stavros Keppas, Ioannis Stergiou, Anastasia Poupkou, Dimitrios Voloudakis, John Kapsomenakis and Dimitris K. Papanastasiou
Agronomy 2026, 16(1), 35; https://doi.org/10.3390/agronomy16010035 - 22 Dec 2025
Abstract
Climate change is expected to increasingly intensify the water stress that directly impacts crop productivity in the near future. This study integrates the crop water stress index (CWSI) with high-resolution regional climate simulations produced by the weather research and forecasting (WRF) model to [...] Read more.
Climate change is expected to increasingly intensify the water stress that directly impacts crop productivity in the near future. This study integrates the crop water stress index (CWSI) with high-resolution regional climate simulations produced by the weather research and forecasting (WRF) model to evaluate water stress that winter wheat and olive trees will potentially experience in Greece in the future. Decadal, high-resolution climate simulations were generated for both the present and near-future periods using the most recent shared socioeconomic pathways (SSP) framework. A bias-corrected dataset based on 18 models from the Coupled Model Intercomparison Project 6 was used for boundary conditions to mitigate errors associated with individual global model biases. Projections indicated a mean air temperature increase of 1.1–1.7 °C and a relative humidity decrease of up to 3.5%. Mean CWSI increases of up to 6% and 4% were projected in most of the country for winter wheat and olive trees, respectively. The water stress of the winter wheat was also assessed over the three growing stages defined by the FAO. The analysis showed that water stress may occur during all growing stages, inducing potential impacts on tillering, photosynthetic efficiency, biomass accumulation, or yield. Additionally, a water stress threshold (i.e., CWSI > 0.5) was applied for both species in order to carry out a spatial assessment of the water stress that is projected to occur in the future in key winter wheat-, olive oil- and table olive-producing Greek regions. The findings of this study can support the irrigation scheduling and the development of climate-resilient agricultural practices in Greece. The modeling framework that was established in this study can also be applied to other crops and regions in the Mediterranean. Full article
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21 pages, 10584 KB  
Article
Effect of Natural Seawater Salinity on Stainless Steel Corrosion: Enhanced Resistance in Seawater Bittern
by Senka Gudić, Mislav Ćorić, Ladislav Vrsalović, Aleš Nagode, Jure Krolo and Jelena Jakić
Appl. Sci. 2026, 16(1), 109; https://doi.org/10.3390/app16010109 - 22 Dec 2025
Abstract
Stainless steels are commonly used in coastal structures and in seawater desalination and treatment systems, so understanding their corrosion behaviour under different salinity conditions is important to ensure the durability and reliability of the material. In this study, the behaviour of AISI 304L, [...] Read more.
Stainless steels are commonly used in coastal structures and in seawater desalination and treatment systems, so understanding their corrosion behaviour under different salinity conditions is important to ensure the durability and reliability of the material. In this study, the behaviour of AISI 304L, AISI 316L, and 2205 duplex stainless steels (DSS) was tested in three media with different salinities: brackish water (BSW), seawater (SW), and concentrated seawater bittern (CSW). Testing was conducted using classical electrochemical methods (open circuit potential, linear, and potentiodynamic polarization) supplemented by surface analyses (optical microscopy, SEM/EDS, and optical profilometry). Corrosion resistance increased in the order AISI 304L < AISI 316L < 2205 DSS. Duplex steel 2205 performed best in all media: it exhibited the most positive open circuit potential, the highest polarization resistance, the lowest corrosion current density, and the widest passive range. Unexpectedly, CSW showed improved corrosion resistance compared to SW, which is explained by the reduced chloride content characteristic of seawater bittern after NaCl crystallisation and the presence of magnesium, calcium, and sulphate ions that promote the formation of protective deposits on the metal surface. Pronounced pitting was observed on AISI 304L steel in seawater, while surface degradation in brackish and concentrated seawater was significantly less, and 2205 DSS remained almost unchanged. The results obtained can serve as guidelines for the design and selection of materials for equipment and structures in industries operating in aggressive marine and coastal environments, such as desalination plants, shipbuilding, and energy systems. Full article
(This article belongs to the Section Chemical and Molecular Sciences)
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22 pages, 4558 KB  
Article
Geochemical Features of Ultramafic Rocks and Formation of Magnesium–Bicarbonate Groundwaters in the Kraka Massif Area (Southern Urals)
by Timur D. Shabutdinov, Rafil F. Abdrakhmanov, Dmitry E. Saveliev, Alexandra O. Poleva, Elena A. Mashkova, Alexander V. Snachev, Ruslan A. Gataullin, Vera N. Durnaeva and Aidar A. Samigullin
Geosciences 2026, 16(1), 8; https://doi.org/10.3390/geosciences16010008 (registering DOI) - 22 Dec 2025
Abstract
The observed shortage of water resources in the western and southern regions of the Russian Federation may soon affect the territory of the Republic of Bashkortostan. An increase in the share of groundwaters can help to solve this problem. To provide the population [...] Read more.
The observed shortage of water resources in the western and southern regions of the Russian Federation may soon affect the territory of the Republic of Bashkortostan. An increase in the share of groundwaters can help to solve this problem. To provide the population of the republic with water resources, the groundwater of magnesium–bicarbonate-type from the Kraka ophiolite massifs can be used. The massifs occur on the western slope of the Southers Urals. In this work we studied ultramafic rocks and their influence on the formation of the chemical composition of water. The research area is located in the northern part of the Zilair synclinorium, which occurs within the Central Ural megazone. In terms of hydrogeology, of particular importance to the territory of the synclinorium is the Zilair basin of fracture waters of the second order, which is part of the Uralian hydrogeologic folded zone. The ultramafic rocks from the studied area have consistently high CaO/Al2O3 ratios (0.4–1.6), which indicates the widespread development of parageneses with participation of clinopyroxene and a low degree of depletion of the primitive mantle source. Because of the complex geological structure of the area, water samples collected from both water points in the Kraka massifs, and the surrounding Early–Middle Paleozoic rocks were analyzed for major ions using a laboratory method to identify possible hydro-geochemical zoning. A statistical analysis was then conducted based on the obtained anion–cation composition data. From the viewpoint of the hydrolytic concept, the formation of the chemical composition of groundwater takes place due to the removal of Mg2+ from the rock-forming minerals of ultramafic rocks (olivine and pyroxene) and the supply of Na+, K+, Ca2+, and SO42− Cl from atmospheric precipitations. The bicarbonate anion has a complex nature, where both biochemical processes in the soil and atmospheric precipitation play a significant role. Magnesium–bicarbonate-type of waters, due to low mineralization (to 1 g/L) and the majority of other geochemical parameters (pH of the medium, and content of Na, K, Ca, SO4, and Cl), whose values that are within the limits set by the World Health Organization (WHO), can be used as drinking water. The increased values of total hardness (0.20–3.39 mmol/L) in accordance with the regulatory document SanPiN 1.2.3685–21, adopted by the Russian Federation, do not exceed the maximum permissible concentrations (up to 7.00 (10.00) mEq/L or 3.50 (5.00) mmol/L). The high magnesium content, in accordance with GOST (state standard) R 54316–2020, allows the magnesium–bicarbonate waters of the Kraka massifs to be classified as table mineral waters for the treatment of various diseases (including hypomagnesemia). Full article
(This article belongs to the Section Hydrogeology)
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16 pages, 1184 KB  
Article
Probabilistic Human Health Risk Assessment of Inorganic Arsenic Exposure Following the 2020 Taal Volcano Eruption, Batangas, Philippines
by Yu-Syuan Luo, Jullian Patrick C. Azores, Rhodora M. Reyes and Geminn Louis C. Apostol
Toxics 2026, 14(1), 13; https://doi.org/10.3390/toxics14010013 - 22 Dec 2025
Abstract
Volcanic eruptions can mobilize naturally occurring toxic elements such as arsenic into surrounding ecosystems, contaminating soil, water, and food webs. Despite increasing evidence of arsenic enrichment in volcanic regions, comprehensive exposure assessments that integrate dietary and drinking water pathways remain limited, particularly in [...] Read more.
Volcanic eruptions can mobilize naturally occurring toxic elements such as arsenic into surrounding ecosystems, contaminating soil, water, and food webs. Despite increasing evidence of arsenic enrichment in volcanic regions, comprehensive exposure assessments that integrate dietary and drinking water pathways remain limited, particularly in post-eruption contexts where baseline data are scarce. Following the 2020 Taal Volcano eruption, this study conducted a probabilistic risk assessment to quantify aggregate exposure to inorganic arsenic (iAs) among residents of Batangas, Philippines. A Monte Carlo simulation framework (10,000 iterations) integrated post-eruption environmental data on total arsenic in soil, lake water, drinking water and clam tissues with modeled bioaccumulation and transfer factors for fish and major terrestrial crops. Two exposure scenarios, lower bound (50% iAs fraction) and upper bound (90% iAs fraction), were applied to capture uncertainty in arsenic speciation and bioavailability. Simulated iAs concentrations followed the order rice > corn > vegetables > root crops. Aggregate daily iAs doses averaged 3.0 ± 1.4 µg/kg bw/day (lower bound) and 4.0 ± 2.0 µg/kg bw/day (upper bound), with females showing slightly higher exposures and pregnant women exhibiting lower doses. Sensitivity analysis identified clam intake, rice intake, and iAs in rice, clams, and drinking water as dominant determinants of total exposure. All simulated individuals exceeded the U.S. EPA non-cancer reference dose (HQ > 1) and cancer risk benchmark (10−6–10−4), indicating substantial health concern. These findings highlight the urgent need for sustained environmental monitoring, arsenic speciation analyses, biomonitoring, and public health programs to guide evidence-based management in arsenic-affected volcanic regions. Full article
(This article belongs to the Section Exposome Analysis and Risk Assessment)
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22 pages, 1745 KB  
Article
Governance on Point? An Assessment of the Permitting, Supervision and Enforcement Processes for Point Source Discharges in The Netherlands
by Arnoud Klok, Carel Dieperink and Tessa Rötscheid
Water 2026, 18(1), 27; https://doi.org/10.3390/w18010027 - 21 Dec 2025
Abstract
The European Water Framework Directive (2000/60/EC) (WFD) aims to protect inland surface waters, transitional waters, coastal waters and groundwater. The overarching goal of the WFD is to reach a good aquatic ecosystem throughout all of Europe. With the aim of reaching this goal, [...] Read more.
The European Water Framework Directive (2000/60/EC) (WFD) aims to protect inland surface waters, transitional waters, coastal waters and groundwater. The overarching goal of the WFD is to reach a good aquatic ecosystem throughout all of Europe. With the aim of reaching this goal, article 4 of the WFD sets certain environmental objectives. According to article 4 of the WFD, all the surface water bodies falling under its scope should be of good chemical and ecological quality by the end of 2027, as most extension deadlines will expire. For artificial and heavily modified surface water bodies—which make up the vast majority in the Netherlands—the goal is not to achieve a good ecological status but instead a good ecological potential and a good chemical status. Point source discharges may have a major impact on water quality and in order to progress, a well-functioning permitting, supervision and enforcement (PSE) process is of considerable interest. So far little academic attention has been paid to the functioning and quality of the governance processes underlying the PSE process. This paper aims to reduce this knowledge gap by conducting a case study on Sitech, the wastewater company for the Chemelot industrial complex in Geleen in the province of Limburg, the Netherlands. We first elaborate on an assessment framework consisting of 18 good governance criteria. The framework is used to assess the permitting, supervision and enforcement process concerning the discharges of Chemelot industrial plant. Our assessment reveals that, despite significant improvements over the last decade, good governance in this case is only partially achieved. While in terms of accountability and resilience the process shows robust strengths, gaps are found in its inclusiveness, effectiveness and transparency. We conclude our paper with some reflections on the generalizability of our findings and some suggestions for further research and policymaking. Full article
(This article belongs to the Section Water Resources Management, Policy and Governance)
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27 pages, 4990 KB  
Article
Performance Evaluation of a Distributed Hydrological Model Using Satellite Data over the Lake Kastoria Catchment, Greece
by Dimitris Papadimos and Dimitris Papamichail
Hydrology 2026, 13(1), 2; https://doi.org/10.3390/hydrology13010002 - 20 Dec 2025
Viewed by 29
Abstract
It might be difficult in many countries to find extended time series of measurements related to parameters of lakes' hydrology and their interactions with catchments. Nowadays, the combined use of satellite imagery and spatially distributed hydrological models may contribute substantially to this direction. [...] Read more.
It might be difficult in many countries to find extended time series of measurements related to parameters of lakes' hydrology and their interactions with catchments. Nowadays, the combined use of satellite imagery and spatially distributed hydrological models may contribute substantially to this direction. In this study, in order to assess for a long period of years a lake’s surface elevation (LSE) and its water balance components, Lake Kastoria and its catchment, under Greece’s dry-thermal conditions, were selected as the case study. This research employed the MIKE SHE coupled with the MIKE HYDRO River (MHR) hydrological modeling system, fed with precipitation and leaf area index (LAI) data coming from a ground weather station, typical values of LAI for the specific area, and satellite products from NASA for the precipitation and from Copernicus Global Land Service for the LAI. In all cases where satellite data were used, the simulation of the long-term LSE was very satisfactory, with minor to medium changes to the inflow and outflow components of the water balance in both the catchment (from 0.32 to 7.36%) and the lake (from 1.47 to 11.3%). The above changes were also reflected in the runoff coefficients. In conclusion, the above satellite products can adequately be used for the prediction of the LSE. Furthermore, a plethora of quantified information in relation to the catchment’s water balance can be extracted and used in decision-making processes. Full article
(This article belongs to the Section Hydrological and Hydrodynamic Processes and Modelling)
16 pages, 3167 KB  
Article
Deciphering the Structure and Genetic Basis of Adaptive Mechanism of Soil Microbial Communities in a Manganese Electrolysis Plant
by Yong Wang, Song Liu, Ziyi Zheng, Jun Ma, Yuan Xiang, Lanyan Wu, Chunlian Ding and Yan Shi
Microorganisms 2026, 14(1), 15; https://doi.org/10.3390/microorganisms14010015 - 20 Dec 2025
Viewed by 104
Abstract
The development of China’s manganese (Mn) industries has caused severe water and soil pollution, threatening ecological and human health. Microbes are usually regarded as an important indicator of environmental pollution assessment. However, the current understanding of microbial community characteristics and their formation mechanisms [...] Read more.
The development of China’s manganese (Mn) industries has caused severe water and soil pollution, threatening ecological and human health. Microbes are usually regarded as an important indicator of environmental pollution assessment. However, the current understanding of microbial community characteristics and their formation mechanisms in Mn production areas remains limited. In order to address this, soil properties and microbial structural characteristics across different functional zones in a typical Mn electrolysis plant in China’s “Manganese Triangle” were investigated via metagenomic sequencing. Results showed soil Mn levels significantly exceeded background values, indicating high environmental risk. Acidobacteria and Proteobacteria were dominant phyla. Microbial abundance was lowest in the adjacent natural reservoir, whereas diversity was highest in the sewage treatment plant. Correlation analyses identified Mn, nitrate nitrogen, ammonium nitrogen, pH, and moisture as key environmental drivers, with Mn being the primary one. Metagenomic analysis revealed abundant Mn resistance genes, enabling microbial survival under high Mn stress. This study demonstrated that excessive Mn exposure enriched Mn-resistant genes, thereby shaping unique microbial communities dominated by Mn-resistant bacteria. These findings clarified the structural characteristics and adaptive mechanisms of soil microbial communities in Mn-contaminated areas, providing a theoretical basis for ecological risk management and bioremediation. Full article
(This article belongs to the Special Issue Advances in Genomics and Ecology of Environmental Microorganisms)
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16 pages, 2049 KB  
Article
Sensitivity Analysis of N2O and CH4 Emissions in a Winter Wheat–Rice Double Cropping System
by Chuang Liu, Jiabao Wang, Zhili Sun, Yixiang Sun, Yi Liu and Lianhai Wu
Agriculture 2026, 16(1), 11; https://doi.org/10.3390/agriculture16010011 - 19 Dec 2025
Viewed by 98
Abstract
The sensitivity of model outputs to parameter variations is crucial for effective model calibration and application. This study assessed the sensitivity of N2O and CH4 emissions to varying weather conditions and fertilization practices in a winter wheat–rice cropping system. Using [...] Read more.
The sensitivity of model outputs to parameter variations is crucial for effective model calibration and application. This study assessed the sensitivity of N2O and CH4 emissions to varying weather conditions and fertilization practices in a winter wheat–rice cropping system. Using the Sobol first-order sensitivity index within the SPACSYS model, key parameters and input variables influencing gas emissions were identified. The results showed that the index effectively detected highly sensitive parameters, particularly those related to soil water content, oxygen dynamics and microbial processes. Both N2O and CH4 emissions were sensitive to carbon availability and soil oxygen levels. For N2O emissions, microbial process parameters and soil water content had substantial impacts, whereas CH4 emissions were more responsive to methane consumption, oxygen levels, and carbon substrates. Fertilization, rainfall and temperature showed high sensitivity for N2O emissions, while temperature emerged as the dominant factor controlling CH4 emissions. The identified parameters offer valuable insights for improving model performance and informing strategies to mitigate greenhouse gas emissions. Full article
(This article belongs to the Section Agricultural Soils)
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37 pages, 5538 KB  
Article
Sustainable Water Treatment Through Fractional-Order Chemostat Modeling with Sliding Memory and Periodic Boundary Conditions: A Mathematical Framework for Clean Water and Sanitation
by Kareem T. Elgindy
Fractal Fract. 2026, 10(1), 4; https://doi.org/10.3390/fractalfract10010004 - 19 Dec 2025
Viewed by 55
Abstract
This work develops and analyzes a novel fractional-order chemostat system (FOCS) with a Caputo fractional derivative (CFD) featuring a sliding memory window and periodic boundary conditions (PBCs), designed to model microbial pollutant degradation in sustainable water treatment. By incorporating the Caputo fractional derivative [...] Read more.
This work develops and analyzes a novel fractional-order chemostat system (FOCS) with a Caputo fractional derivative (CFD) featuring a sliding memory window and periodic boundary conditions (PBCs), designed to model microbial pollutant degradation in sustainable water treatment. By incorporating the Caputo fractional derivative with sliding memory (CFDS), the model captures time-dependent behaviors and memory effects in biological systems more realistically than classical integer-order formulations. We reduce the two-dimensional fractional differential equations (FDEs) governing substrate and biomass concentrations to a one-dimensional FDE by utilizing the PBCs. The existence and uniqueness of non-trivial, periodic solutions are established using the Carathéodory framework and fixed-point theorems, ensuring the system’s well-posedness. We prove the positivity and boundedness of solutions, demonstrating that substrate concentrations remain within physically meaningful bounds and biomass concentrations stay strictly positive, with solution trajectories confined to a biologically feasible invariant set. Additionally, we analyze non-trivial equilibria under constant dilution rates and derive their stability properties. The rigorous mathematical results confirm the viability of FOCS models for representing memory-driven, periodic bioprocesses, offering a foundation for advanced water treatment strategies that align with Sustainable Development Goal 6 (Clean Water and Sanitation). This work establishes a comprehensive mathematical framework that bridges fractional calculus with sustainable water treatment applications, providing both theoretical foundations and practical implications for optimizing bioreactor performance in environmental biotechnology. Full article
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39 pages, 9543 KB  
Article
A Hybrid PCA-TOPSIS and Machine Learning Approach to Basin Prioritization for Sustainable Land and Water Management
by Mustafa Aytekin, Semih Ediş and İbrahim Kaya
Water 2026, 18(1), 5; https://doi.org/10.3390/w18010005 - 19 Dec 2025
Viewed by 179
Abstract
Population expansion, urban development, climate change, and precipitation patterns are complicating sustainable natural resource management. Subbasin prioritization enhances the efficiency and cost-effectiveness of resource management. Artificial intelligence and data analytics eradicate the constraints of traditional methodologies, facilitating more precise evaluations of soil erosion, [...] Read more.
Population expansion, urban development, climate change, and precipitation patterns are complicating sustainable natural resource management. Subbasin prioritization enhances the efficiency and cost-effectiveness of resource management. Artificial intelligence and data analytics eradicate the constraints of traditional methodologies, facilitating more precise evaluations of soil erosion, water management, and environmental risks. This research has created a comprehensive decision support system for the multidimensional assessment of sub-basins. The Erosion and Flood Risk-Based Soil Protection (EFR), Socio-Economic Integrated Basin Management (SEW), and Prioritization Based on Basin Water Yield (PBW) functions were utilized to prioritize sustainability objectives. EFR addresses erosion and flood risks, PBW evaluates water yield potential, and SEW integrates socio-economic drivers that directly influence water use and management feasibility. Our approach integrates principal component analysis–technique for order preference by similarity to ideal solution (PCA–TOPSIS) with machine learning (ML) and provides a scalable, data-driven alternative to conventional methods. The combination of machine learning algorithms with PCA and TOPSIS not only improves analytical capabilities but also offers a scalable alternative for prioritization under changing data scenarios. Among the models, support vector machine (SVM) achieved the highest performance for PBW (R2 = 0.87) and artificial neural networks (ANNs) performed best for EFR (R2 = 0.71), while random forest (RF) and gradient boosting machine (GBM) models exhibited stable accuracy for SEW (R2 ~ 0.65–0.69). These quantitative results confirm the robustness and consistency of the proposed hybrid framework. The findings show that some sub-basins are prioritized for sustainable land and water resources management; these areas are generally of high priority according to different risk and management criteria. For these basins, it is suggested that comprehensive local-scale studies be carried out, making sure that preventive and remedial measures are given top priority for execution. The SVM model worked best for the PBW function, the ANN model worked best for the EFR function, and the RF and GBM models worked best for the SEW function. This framework not only finds sub-basins that are most important, but it also gives useful information for managing watersheds in a way that is sustainable even when the climate and economy change. Full article
(This article belongs to the Special Issue Application of Machine Learning in Hydrologic Sciences)
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Article
Thermally Activated Composite Y2O3-bTiO2 as an Efficient Photocatalyst for Degradation of Azo Dye Reactive Black 5
by Aleksandar Jovanović, Mladen Bugarčić, Jelena Petrović, Marija Simić, Kristina Žagar Soderžnik, Janez Kovač and Miroslav Sokić
Molecules 2026, 31(1), 8; https://doi.org/10.3390/molecules31010008 - 19 Dec 2025
Viewed by 108
Abstract
Water pollution from textile effluents poses serious environmental risks, particularly due to persistent anionic dyes such as Reactive Black 5 (RB5). This study demonstrates that simple deposition of Y2O3 onto commercially available, biobased TiO2 (bTiO2) significantly enhances [...] Read more.
Water pollution from textile effluents poses serious environmental risks, particularly due to persistent anionic dyes such as Reactive Black 5 (RB5). This study demonstrates that simple deposition of Y2O3 onto commercially available, biobased TiO2 (bTiO2) significantly enhances photocatalytic degradation efficiency under simulated sunlight, suppressing rapid recombination of electron–hole pairs. Addressing a key research gap, the proposed method replaces expensive nanoscale precursors and complex synthesis routes typically used for Y2O3/TiO2 systems with a low-cost, straightforward approach involving weak complexation and co-precipitation. The resulting Y2O3-bTiO2 composite was characterized using FTIR, XRD, SEM, EDX, TEM, XPS, and UV-DRS techniques, confirming efficient incorporation of Y2O3 on the TiO2 surface. Photocatalytic experiments revealed that nanoparticles calcined at 700 °C achieved complete RB5 degradation within 60 min—reducing the reaction time by half compared to undoped bTiO2. Systematic studies of initial dye concentration, catalyst loading, and irradiation time confirmed that the degradation followed pseudo-first-order kinetics with a rate constant of 0.064 min−1 (R2 = 0.98). Calculated quantum yields corroborated the reduced electron–hole recombination induced by Y2O3 deposition. These findings highlight the novelty and practicality of the developed Y2O3-bTiO2 photocatalyst as an efficient, affordable, and environmentally sustainable material for the degradation of industrial dyes. Full article
(This article belongs to the Special Issue Advances in the Detection and Removal of Organic Residue from Water)
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