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25 pages, 6024 KB  
Article
Spatio-Temporal Modeling of SST for the Assessment of Climate Risk over Aquaculture in the Coast of the Valencian Region
by Laura Aixalà-Perelló, Irene Lopez-Mengual, Javier Atalah, Juan Aparicio, David Ballester, David Conesa, Aitor Forcada, Jonatan Gonzalez-Monsalvo, Antonio López-Quílez, Pablo Sanchez-Jerez and Xavier Barber
J. Mar. Sci. Eng. 2026, 14(5), 432; https://doi.org/10.3390/jmse14050432 - 26 Feb 2026
Abstract
Climate change poses significant risks to Mediterranean aquaculture, with sea surface temperature (SST) identified as a critical stressor affecting cultivated species. This study aims to assess climate-related risks for coastal aquaculture in the Valencian Community (Spain) by analyzing SST spatiotemporal variability and predicting [...] Read more.
Climate change poses significant risks to Mediterranean aquaculture, with sea surface temperature (SST) identified as a critical stressor affecting cultivated species. This study aims to assess climate-related risks for coastal aquaculture in the Valencian Community (Spain) by analyzing SST spatiotemporal variability and predicting future trends. A multi-method approach was employed, combining ARIMA models for 10-year predictions at eight coastal locations, Bayesian hierarchical models (BHM) fitted via INLA for spatiotemporal analysis of maximum SST and temperature range (2000–2024), and Generalized Additive Models (GAM) to evaluate relationships with climate indices (NAO, AMO, ENSO). Results revealed a consistent warming trend since the 1990s, with ARIMA predictions indicating maximum SST values of 27.2 ± 0.1 °C in September over the next decade. The spatiotemporal model showed effective spatial correlation ranges of 246 km for maximum SST and 207 km for SST range. Anomalous warming years (2003, 2006, 2018, 2023–2024) coincided with documented marine heatwave events. The GAM explained 98.2% of deviance, with AMO showing significant influence (p<0.001), while ENSO was not statistically significant. Southern locations (Altea, Campello) currently experience the highest temperatures, but projections indicate Valencia and Sagunto will become the warmest areas. These findings provide essential information for marine spatial planning and recommend a precautionary approach when considering aquaculture relocation towards northern coastal areas. Full article
(This article belongs to the Section Marine Aquaculture)
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16 pages, 2311 KB  
Article
The Novel Models for Identifying the Vertical Structure of Urban Vegetation from UAV LiDAR Data
by Hang Yang, Rongxin Deng, Xinmeng Jing, Zhen Dong, Xiaoyu Yang, Jingyi Li and Zhiwen Mei
Remote Sens. 2026, 18(5), 692; https://doi.org/10.3390/rs18050692 - 26 Feb 2026
Abstract
Accurate quantification of vegetation vertical structure is crucial for analyzing the ecological functions of urban green spaces. However, constrained by the complexity of vegetation structure and spatial heterogeneity, current approaches for extracting vegetation vertical structure by airborne LiDAR have limitations in terms of [...] Read more.
Accurate quantification of vegetation vertical structure is crucial for analyzing the ecological functions of urban green spaces. However, constrained by the complexity of vegetation structure and spatial heterogeneity, current approaches for extracting vegetation vertical structure by airborne LiDAR have limitations in terms of layer boundary identification stability, threshold dependency, and ecological plausibility. This study developed two integrated UAV LiDAR-based stratification frameworks for identifying urban riparian vegetation vertical structure by combining established statistical modeling and signal processing techniques: (1) a Gaussian Mixture Model with Bayesian Information Criterion (GMM-BIC)-based probabilistic stratification framework; (2) a Savitzky–Golay filtering and Pruned Exact Linear Time (SG-PELT)-based change-point detection framework. Furthermore, the ecological height constraint was incorporated into the model to achieve biological adjustments. Two models were applied in the study area and compared using reference data. The results showed that the GMM-BIC method achieved an overall classification accuracy of 91.06%, with a macro-averaged F1-score of 87.77%, while the SG-PELT method attained an overall accuracy of 84.57%, with a macro-averaged F1-score of 79.20%. These results demonstrate that both models can effectively identify the vertical structure of urban vegetation. In particular, the two models exhibited distinct characteristics across different scenarios. The GMM-BIC model showed superior stratification accuracy in regions where vegetation height distribution displayed pronounced multi-peak characteristics and distinct differences among height segments. In comparison, the SG-PELT model demonstrated greater sensitivity in areas with significant height variation and clearly defined abrupt transitions between layers. These models could provide new methodologies for monitoring vegetation vertical structure and offer data support for biodiversity monitoring and ecological function assessment within urban ecosystems. Full article
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14 pages, 331 KB  
Article
A Random Forest Approach with Amplified Bootstrap for Counting Language Minority Groups in the United States
by Joseph Kang, Adam C. Hall and Geunseop Lee
Mathematics 2026, 14(5), 768; https://doi.org/10.3390/math14050768 - 25 Feb 2026
Viewed by 19
Abstract
This paper addresses the challenge of estimating language minority populations for compliance with the U.S. Voting Rights Act (VRA). Current methodologies, which rely on frequentist and Bayesian models developed by the U.S. Census Bureau, are benchmarked against a novel machine learning approach. We [...] Read more.
This paper addresses the challenge of estimating language minority populations for compliance with the U.S. Voting Rights Act (VRA). Current methodologies, which rely on frequentist and Bayesian models developed by the U.S. Census Bureau, are benchmarked against a novel machine learning approach. We use a random forest (RF) model that significantly improves population size estimates for language minority groups. Our key contribution is the development of a modified RF objective function, a beta–binomial distribution, which is specifically tailored to the unique structure of the VRA data. This approach leverages the flexibility of the RF framework to accommodate the VRA data in a statistically principled manner. The resulting RF method demonstrates superior performance on several language minority groups compared to the established 2021 Census Bureau models. Full article
(This article belongs to the Special Issue Advances in Statistical Methods with Applications)
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23 pages, 1198 KB  
Article
A Bayesian Hierarchical Cox Model with Elastic Net Regularization for Improved Survival Prediction and Feature Selection
by Bulus I. Doroh, Kazeem A. Dauda and Rasheed K. Lamidi
Mathematics 2026, 14(5), 767; https://doi.org/10.3390/math14050767 - 25 Feb 2026
Viewed by 31
Abstract
In recent years, the growing availability of large-scale data across a wide range of disciplines has created new opportunities for developing models that improve the predictive accuracy of statistical models. Although techniques such as regularization and Bayesian hierarchical methods are commonly used for [...] Read more.
In recent years, the growing availability of large-scale data across a wide range of disciplines has created new opportunities for developing models that improve the predictive accuracy of statistical models. Although techniques such as regularization and Bayesian hierarchical methods are commonly used for building predictive models, substantial challenges remain, particularly when dealing with high-dimensional datasets that contain considerable noise. In this study, we propose a Bayesian hierarchical model that employs a spike-and-slab hierarchical elastic net prior that regularizes the Cox Proportional Hazards (Cox-PH) model. The method combines Bayesian modeling with the regularized partial log-likelihood of the Cox-PH framework, incorporating an Elastic Net penalty to estimate the joint posterior distribution under a hierarchical elastic net prior. We compute this posterior using an Expectation–Maximization Cyclic Coordinate Descent Algorithm (EM-CCDA), which streamlines feature selection and enhances overall predictive performance. We evaluate the algorithm’s performance through Monte Carlo simulations and apply it to three real-world datasets, comparing the results with those from established classical and Bayesian survival analysis approaches. The findings demonstrate notable gains in both feature selection and predictive accuracy, highlighting the model’s strong ability to predict patient survival and identify relevant genes in real biological datasets. Full article
25 pages, 896 KB  
Article
Sequential Deep Learning with Feature Compression and Optimal State Estimation for Indoor Visible Light Positioning
by Negasa Berhanu Fite, Getachew Mamo Wegari and Heidi Steendam
Photonics 2026, 13(2), 211; https://doi.org/10.3390/photonics13020211 - 23 Feb 2026
Viewed by 85
Abstract
Visible Light Positioning (VLP) is widely regarded as a promising technology for high-precision indoor localization due to its immunity to radio-frequency interference and compatibility with existing Light-Emitting Diode (LED) lighting infrastructure. Despite recent progress, current VLP systems remain fundamentally limited by nonlinear received [...] Read more.
Visible Light Positioning (VLP) is widely regarded as a promising technology for high-precision indoor localization due to its immunity to radio-frequency interference and compatibility with existing Light-Emitting Diode (LED) lighting infrastructure. Despite recent progress, current VLP systems remain fundamentally limited by nonlinear received signal strength (RSS) characteristics, unknown transmitter orientations, and dynamic indoor disturbances. Existing solutions typically address these challenges in isolation, resulting in limited robustness and scalability. This paper proposes SCENE-VLP (Sequential Deep Learning with Feature Compression and Optimal State Estimation), a structured positioning framework that integrates feature compression, temporal sequence modeling, and probabilistic state refinement within a unified estimation pipeline. Specifically, SCENE-VLP combines Principal Component Analysis (PCA) and Denoising Autoencoders (DAE) for linear and nonlinear observation conditioning, Gated Recurrent Units (GRU) for modeling temporal dependencies in RSS sequences, and Kalman-based filtering (KF/EKF) for recursive state-space refinement. The framework is formulated as a hierarchical approximation of the nonlinear observation model, linking data-driven measurement learning with Bayesian state estimation. A systematic ablation study across multiple scenarios, including same-dataset evaluation and cross-dataset generalization, demonstrates that each component provides complementary benefits. Feature compression reduces redundancy while preserving dominant signal structure; GRU significantly improves robustness over static regression; and recursive filtering consistently reduces positioning error compared to unfiltered predictions. While both KF and EKF improve performance, EKF provides incremental refinement under mild nonlinearities. Extensive simulations conducted on an indoor dataset collected from a realistic deployment with eight ceiling-mounted LEDs and a single photodetector (PD) show that SCENE-VLP achieves sub-decimeter localization accuracy, with P50 and P95 errors of 1.84 cm and 6.52 cm, respectively. Cross-scenario evaluation further confirms stable generalization and statistically consistent improvements. These results demonstrate that the structured integration of observation conditioning, temporal modeling, and Bayesian refinement yields measurable gains beyond partial pipeline configurations, establishing SCENE-VLP as a robust and scalable solution for next-generation indoor visible light positioning systems. Full article
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22 pages, 1861 KB  
Article
Real-Time Signal Processing for Distributed Acoustic Sensing and Acoustic Sensing Systems Under Non-Stationary Noise
by Samuel Yaw Mensah, Tao Zhang, Xin Zhao and Nahid Al Mahmud
Sensors 2026, 26(4), 1372; https://doi.org/10.3390/s26041372 - 21 Feb 2026
Viewed by 231
Abstract
Real-time acoustic signal enhancement in non-stationary noise remains challenging, especially for sensing systems that must be causal, low latency, and interpretable. This paper proposes a unified Bayesian–Kalman estimator (UBKE) that analytically fuses a spectral Bayesian MMSE estimator with a temporal Kalman state-space tracker [...] Read more.
Real-time acoustic signal enhancement in non-stationary noise remains challenging, especially for sensing systems that must be causal, low latency, and interpretable. This paper proposes a unified Bayesian–Kalman estimator (UBKE) that analytically fuses a spectral Bayesian MMSE estimator with a temporal Kalman state-space tracker via a variance optimal fusion weight α(k). The UBKE is derived in closed form from a shared probabilistic model, yielding an estimator that adaptively balances spectral and temporal information as noise statistics evolve. We establish theoretical properties including bias–variance behavior, stability conditions, and analytical expressions for output SNR, SNR improvement, and log-spectral distortion. Under typical short-time processing (32 ms frame, 50% overlap), the proposed method operates causally with an algorithmic delay of 16 ms and real-time factors below 0.5 on a modern CPU. Analytical and empirical results show that UBKE achieves up to +9.8 dB ΔSNR and approximately +17% PESQ improvement over a baseline MMSE estimator in highly non-stationary noise, while also reducing log-spectral distortion. Experiments on standard speech corpora with real-world noise confirm that the empirical trends closely follow the analytical predictions, with small mismatch between theoretical and measured gains. The UBKE thus offers an interpretable, low-latency, and quantitatively validated framework for real-time acoustic sensing and speech enhancement, and can serve as a foundation for future hybrid model-driven and learning-augmented systems. Full article
(This article belongs to the Special Issue Distributed Acoustic Sensing and Applications)
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14 pages, 1613 KB  
Article
A Treatment Decision Model for Cutaneous Squamous Cell Carcinoma Based on Bayesian Networks
by Eenas Ghura, Jan Gaebel, Thomas Neumuth, Andreas Dietz, Gunnar Wichmann and Matthaeus Stoehr
Cancers 2026, 18(4), 704; https://doi.org/10.3390/cancers18040704 - 21 Feb 2026
Viewed by 190
Abstract
Background: One of the most prevalent non-melanoma skin cancers (NMSCs) is cutaneous squamous cell carcinoma (cSCC), which is typically treated surgically. For patients with advanced or inoperable disease, systemic therapies—particularly immune checkpoint inhibitors—have become increasingly important. The anti-PD-1 monoclonal antibody Cemiplimab was approved [...] Read more.
Background: One of the most prevalent non-melanoma skin cancers (NMSCs) is cutaneous squamous cell carcinoma (cSCC), which is typically treated surgically. For patients with advanced or inoperable disease, systemic therapies—particularly immune checkpoint inhibitors—have become increasingly important. The anti-PD-1 monoclonal antibody Cemiplimab was approved for the treatment of advanced cSCC, providing patients who are unable to receive conventional therapy with additional options. Methods: In this study, we developed a clinical decision support tool based on Bayesian networks (BNs) to help clinicians choose the most suitable treatment strategies for cSCC. The model can manage missing or uncertain data and includes patient-specific clinical, histological, and genetic information, such as tumor type, stage, and PD-L1 expression. Results: Using data from 66 patients with either basal cell carcinoma (BCC) or cSCC, we retrospectively validated the model by comparing the treatment recommendations from the tool with the actual choices made by multidisciplinary tumor boards. The model demonstrated an overall accuracy of 95.5% and statistical significance with a p-value of <0.001. Conclusions: Our results suggest that BNs are a valuable tool for representing complex clinical decision-making processes. Full article
(This article belongs to the Special Issue New Perspectives in Skin Cancer: From Biology to Therapy)
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28 pages, 582 KB  
Article
On Expectation Measures for Failure Processes in Multiple Populations: Mathematical Theory and Applications on Two Lines
by Rashad M. EL-Sagheer, Mohamed F. Abouelenein, Mohamed H. El-Menshawy and Mahmoud M. Ramadan
Mathematics 2026, 14(4), 730; https://doi.org/10.3390/math14040730 - 20 Feb 2026
Viewed by 181
Abstract
This paper develops classical and Bayesian inferential procedures for Weibull exponential lifetime models under joint progressive Type-II censoring, motivated by comparative reliability analysis of products manufactured across multiple production lines. The theoretical framework is formulated for a general setting involving k independentWeibull exponential [...] Read more.
This paper develops classical and Bayesian inferential procedures for Weibull exponential lifetime models under joint progressive Type-II censoring, motivated by comparative reliability analysis of products manufactured across multiple production lines. The theoretical framework is formulated for a general setting involving k independentWeibull exponential populations, allowing for flexible modeling of heterogeneous lifetime behaviors under a common censoring scheme. Maximum likelihood estimators and their asymptotic confidence intervals are derived, and Bayesian estimation is conducted using Markov chain Monte Carlo methods under both squared-error and LINEX loss functions. For numerical illustration and practical interpretability, the primary emphasis of the simulation study, expected-failure analysis, and real-data applications is placed on the two-population case (k = 2), which commonly arises in comparative life-testing scenarios such as the evaluation of two production lines or systems. Explicit expressions for the expected number of failures are presented for two populations, and their performance is examined through Monte Carlo simulations under various censoring schemes. The proposed methods are further illustrated using real datasets, demonstrating their applicability and effectiveness in reliability assessment. Overall, the results show that the proposed inferential procedures perform well under joint progressive censoring and provide a useful statistical framework for comparative reliability analysis, with methodology that naturally extends to general k-population settings. Full article
(This article belongs to the Section D1: Probability and Statistics)
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21 pages, 5403 KB  
Article
Pollution Source Identification and Parameter Sensitivity Analysis in Urban Drainage Networks Using a Coupled SWMM–Bayesian Framework
by Ronghuan Wang, Xuekai Chen, Xiaobo Liu, Guoxin Lan, Fei Dong and Jiangnan Yang
Processes 2026, 14(4), 699; https://doi.org/10.3390/pr14040699 - 19 Feb 2026
Viewed by 285
Abstract
Addressing the challenge of tracing hidden and transient cross-connections in urban drainage networks, this study develops a SWMM–Bayesian coupled model based on the Py SWMM interface using the Daming Lake area in Jinan as a case study. By employing a Markov Chain Monte [...] Read more.
Addressing the challenge of tracing hidden and transient cross-connections in urban drainage networks, this study develops a SWMM–Bayesian coupled model based on the Py SWMM interface using the Daming Lake area in Jinan as a case study. By employing a Markov Chain Monte Carlo (MCMC) algorithm to drive the interaction between dynamic simulation and statistical inference, the model achieves multidimensional joint posterior estimation of pollution source location (Jx), discharge intensity (M), and discharge timing (T). The results indicate: (1) Model accuracy: The coupled model demonstrates strong source tracing capability, with mean absolute errors below 0.6% in single-parameter inversion. Under multi-parameter joint inversion, the true values of all parameters consistently fall within the 95% confidence intervals. (2) Parameter sensitivity: The influence of MCMC step size on the uncertainty of pollution tracing results is systematically clarified. Discrete source location estimates (Jx) exhibit high robustness to step size variation due to spatial heterogeneity in hydraulic responses, whereas continuous physical parameters (M and T) show strong dependence on the selected step size scale. (3) Practical application: The impact of spatial monitoring network configuration on pollution tracing performance is examined. By deploying a complementary monitoring system integrating trunk and branch pipelines, the inversion accuracy for mass (M) and time (T) parameters is significantly improved by 84.2% and 88.5%, respectively. Overall, the proposed pollution source tracing method for urban drainage networks effectively overcomes the multi-solution challenge in complex network inversion, providing critical technical support for refined urban water environment management. Full article
(This article belongs to the Special Issue Advances in Hydrodynamics, Pollution and Bioavailable Transfers)
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33 pages, 2814 KB  
Article
A Novel Gompertz-Type Distribution with Applications to Radiological Dose and Pharmacokinetic Data
by Ayşe Metin Karakaş, Fatma Bulut and Sultan Şahin Bal
Mathematics 2026, 14(4), 702; https://doi.org/10.3390/math14040702 - 16 Feb 2026
Viewed by 261
Abstract
This study introduces a novel four-parameter lifetime distribution constructed within the Topp–Leone Power Gompertz framework. Owing to its flexible structure, the proposed model accommodates a wide range of density shapes and hazard-rate patterns, including increasing, decreasing, bathtub-shaped, unimodal, and other non-monotone behaviors. Key [...] Read more.
This study introduces a novel four-parameter lifetime distribution constructed within the Topp–Leone Power Gompertz framework. Owing to its flexible structure, the proposed model accommodates a wide range of density shapes and hazard-rate patterns, including increasing, decreasing, bathtub-shaped, unimodal, and other non-monotone behaviors. Key distributional properties, including moments, entropy-based measures, quantile-based measures, and order statistics, are derived. Parameter inference is conducted using both likelihood-based and Bayesian approaches, and the finite-sample performance of the resulting estimators is assessed via Monte Carlo simulations. The practical relevance of the proposed distribution is illustrated using two real datasets and benchmarked against several competing lifetime models, including the Gompertz, Power Gompertz, Weibull, Topp–Leone Gompertz, Marshall–Olkin Gompertz, and Exponentiated Gompertz distributions. Overall, the comparative analyses demonstrate the superior fitting performance of the proposed model, highlighting its effectiveness for complex reliability, survival, and pharmacokinetic data. Full article
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16 pages, 3373 KB  
Article
Intelligent Assessment Framework of Unmanned Air Vehicle Health Status Based on Bayesian Stacking
by Junfu Qiao, Jinqin Guo, Yu Zhang and Yongwei Li
Batteries 2026, 12(2), 62; https://doi.org/10.3390/batteries12020062 - 14 Feb 2026
Viewed by 225
Abstract
This paper proposed a stacking-based ensemble model to replace the traditional single machine learning model prediction approach, significantly improving the evaluation efficiency of SoC and SoH of lithium batteries. Firstly, a dataset was constructed including three input variables (temperature, current, and voltage) and [...] Read more.
This paper proposed a stacking-based ensemble model to replace the traditional single machine learning model prediction approach, significantly improving the evaluation efficiency of SoC and SoH of lithium batteries. Firstly, a dataset was constructed including three input variables (temperature, current, and voltage) and two output variables (SoC and SoH). Pearson correlation coefficients and histograms were used for preliminary analysis of the correlations and distributions of the dataset. The multi-layer perceptron (MLP), support vector machine (SVM), random forest (RF), and extreme gradient boosting tree (XGB) were used as base prediction models. Bayesian optimization (BO) was used to fine-tune the parameters of these models, then three statistical indicators were compared to assess the prediction accuracy of the four ML models. Furthermore, MLP, SVM, and RF were selected as base models, while XGB was used as the meta-model, enhancing the integrated performance of the prediction models. SHAP was used to quantify the influence of the output variables on SoC. Finally, linked measures for the prediction model were proposed to achieve autonomous monitoring of drones. The results showed that XGB exhibited superior prediction accuracy, with R2 of 0.93 and RMSE of 0.14. The ensemble model obtained using stacking reduced the number of outliers by 89.4%. Current was identified as the key variable influencing both SoC and SoH. Furthermore, the intelligent prediction model proposed in this paper can be integrated with controllers, visualization web pages, and other systems to enable the health status assessment of drones. Full article
(This article belongs to the Section Battery Performance, Ageing, Reliability and Safety)
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21 pages, 790 KB  
Article
Assessing Transport Affordability and Spatial Inequality: Evidence from a Hierarchical Bayesian Regression Framework of South Africa’s Provinces
by Fatima Jili, Sanele Gumede, Jessica Goebel and Jeffrey Wilson
Urban Sci. 2026, 10(2), 117; https://doi.org/10.3390/urbansci10020117 - 13 Feb 2026
Viewed by 522
Abstract
Transport affordability defined as the share of household income devoted to transport expenditure is a key dimension of urban equity and social inclusion, particularly in contexts characterised by spatial inequality and income disparities. This study examines provincial variation in public transport affordability across [...] Read more.
Transport affordability defined as the share of household income devoted to transport expenditure is a key dimension of urban equity and social inclusion, particularly in contexts characterised by spatial inequality and income disparities. This study examines provincial variation in public transport affordability across South Africa using a hierarchical Bayesian regression framework applied to province–year data from 2015 to 2022 (n = 72). Affordability is operationalised as a transport cost burden, with higher values indicating a greater proportion of household income spent on transport, and is modelled as a function of household income, trip frequency, household population, and total provincial employment, with province-level random intercepts capturing unobserved regional heterogeneity. The results indicate that household income is negatively associated with transport cost burden, suggesting that provinces with higher average income devote a smaller share of income to transport and therefore experience better affordability. In contrast, household population and aggregate provincial employment are positively associated with transport cost burden, reflecting higher overall mobility and commuting demands in larger and more economically active provinces rather than improved affordability. Trip frequency shows no statistically meaningful association with affordability once household composition and income capacity are accounted for. After accounting for observed characteristics, between-province variation is limited, indicating that affordability dynamics are broadly similar across provinces over the study period. Methodologically, the hierarchical Bayesian framework enables partial pooling across provinces and supports probabilistic inference through credible intervals, thereby improving the stability of estimates in a small-sample multilevel context. While the analysis is associational rather than causal, the findings provide policy-relevant evidence for monitoring transport affordability, including benchmarking the prevalence of affordability burdens relative to the commonly used 10% threshold. Full article
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21 pages, 7790 KB  
Article
Assessing Soil Erosion Susceptibility in a Tropical Landscape: Insights from a Brazilian Case Study
by João Vitor Roque Guerrero, Elton Vicente Escobar-Silva, Cláudia Maria de Almeida, Cintia Campos, José Augusto Di Lollo, Alberto Gomes and Fabrizia Gioppo Nunes
Sustainability 2026, 18(4), 1878; https://doi.org/10.3390/su18041878 - 12 Feb 2026
Viewed by 156
Abstract
Soil is a strategic resource essential for maintaining ecosystem services, an initiative closely linked to a country’s stage of development. In this sense, urgent strategies are required to mitigate the impacts of climate change on soil systems. This study aimed to assess the [...] Read more.
Soil is a strategic resource essential for maintaining ecosystem services, an initiative closely linked to a country’s stage of development. In this sense, urgent strategies are required to mitigate the impacts of climate change on soil systems. This study aimed to assess the susceptibility to soil erosion as a means to support sustainable land-use planning in the municipality of Anápolis, presenting a highly disturbed landscape in Brazil. To achieve this, we applied the Information Value (IV) technique—a Bayesian statistical method based on frequency analysis—which quantifies the influence of various geoenvironmental factors on the probability of erosion occurrence by statistically evaluating their relationship with past erosion events. The results showed that approximately 50% of the municipality is highly susceptible to erosion, and for this reason, these areas should be prioritized by public authorities. The proposed geoenvironmental model demonstrated a satisfactory accuracy (~80%), confirming its effectiveness as a tool to enhance soil resilience. Full article
(This article belongs to the Special Issue Environmental Protection and Sustainable Ecological Engineering)
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17 pages, 608 KB  
Article
Physics-Informed Bayesian Inference for Virtual Testing and Prediction of Train Performance
by Kian Sepahvand, Christoph Schwarz, Oliver Urspruch and Frank Guenther
Machines 2026, 14(2), 211; https://doi.org/10.3390/machines14020211 - 11 Feb 2026
Viewed by 204
Abstract
This paper proposes a physics-informed Bayesian framework for virtual testing and predictive modeling of train performance, specifically addressing stopping-distance prediction. The approach unifies physical simulation models with data-driven statistical inference to achieve uncertainty-aware predictions under limited or noisy measurements. By embedding governing equations [...] Read more.
This paper proposes a physics-informed Bayesian framework for virtual testing and predictive modeling of train performance, specifically addressing stopping-distance prediction. The approach unifies physical simulation models with data-driven statistical inference to achieve uncertainty-aware predictions under limited or noisy measurements. By embedding governing equations of motion into a hierarchical Bayesian structure, the method systematically accounts for both model-form and data uncertainty, allowing explicit decomposition into aleatoric and epistemic components. A Gaussian process surrogate is employed to efficiently emulate high-fidelity physics simulations while preserving key dynamic behaviors and parameter sensitivities. The Bayesian formulation enables probabilistic calibration and validation, providing predictive distributions and confidence bounds. As a representative application, the framework is applied to the virtual prediction of train stopping distances, demonstrating how the proposed methodology captures nonlinear braking dynamics and quantifies uncertainty in safety-relevant performance metrics directly compatible with statistical verification standards such as EN 16834. The results confirm that the physics-informed Bayesian approach enables accurate, interpretable, and standards-aligned virtual testing across a wide range of dynamical systems. Full article
(This article belongs to the Special Issue Artificial Intelligence in Rail Transportation)
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17 pages, 3467 KB  
Article
Sex-Related Differences in Show-Jumping Performance of Retired Thoroughbred Racehorses in Relation to the Interval Since Race Retirement
by M. Naito, S. Nishihata and T. Amano
Animals 2026, 16(4), 562; https://doi.org/10.3390/ani16040562 - 11 Feb 2026
Viewed by 3874
Abstract
To investigate the factors affecting the utilization of retired Thoroughbred racehorses in equestrian disciplines, Bayesian linear mixed models were separately fitted using rank, round time, and obstacle faults from show-jumping competitions restricted to retired Thoroughbred racehorses as dependent variables, with the interaction between [...] Read more.
To investigate the factors affecting the utilization of retired Thoroughbred racehorses in equestrian disciplines, Bayesian linear mixed models were separately fitted using rank, round time, and obstacle faults from show-jumping competitions restricted to retired Thoroughbred racehorses as dependent variables, with the interaction between horse sex and the interval from race retirement to competition (as a proxy for transition training to show-jumping) as a fixed effect. When the interval was short (≤1 year), the estimated marginal mean of rank was statistically significantly lower in stallions (0.26) than in mares (0.41) and geldings (0.39). However, ranking improved with longer intervals in all sexes, with the greatest improvement observed in stallions, and the significant sex-related differences disappeared at the 3-year interval, suggesting an effect of transition training on ranking. Round time improved significantly with longer intervals in all sexes, consistent with the ranking pattern; significant improvement in obstacle faults was observed only in stallions and geldings. The explanatory power of the models, including major random effects, rider, horse ability, sire and affiliation after retirement, was moderate (conditional R2: 0.40–0.65), whereas that of the fixed effects was small (marginal R2: 0.02–0.07), indicating the multifactorial nature of success in competition. Full article
(This article belongs to the Section Equids)
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