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30 pages, 18188 KiB  
Article
Spatiotemporal Evolution Mechanism and Spatial Correlation Network Effect of Resilience in Different Shrinking Cities in China
by Weijun Yu, Siyu Zhang, Entao Pang, Huihui Wang, Yunsong Yang, Yuhao Zhong, Tian Jing and Hongguang Zou
Land 2025, 14(2), 348; https://doi.org/10.3390/land14020348 - 8 Feb 2025
Viewed by 299
Abstract
Bolstering the resilience of shrinking cities (SCs) is essential for maintaining urban dynamic security and fostering sustainable development. Accurately assessing and revealing the resilience level and impact mechanism of SCs to cope with disturbances and shocks has become a hot topic of research [...] Read more.
Bolstering the resilience of shrinking cities (SCs) is essential for maintaining urban dynamic security and fostering sustainable development. Accurately assessing and revealing the resilience level and impact mechanism of SCs to cope with disturbances and shocks has become a hot topic of research in urban sustainable development. In this research, we presented a systematic conceptualization of the fundamental components of urban shrinkage (US) and urban resilience (UR) and, based on US and UR theories, constructed a methodological framework aimed at investigating the spatiotemporal evolution mechanism and spatial correlation network effect of resilience in different SCs in China. This paper initially evaluates the UR levels of various types of SCs in China by establishing an evaluation model for US and a multidimensional evaluation index system for UR based on the theoretical frameworks, aligned with the national context in China. We also define the spatiotemporal evolution patterns of UR for different types of SCs. Subsequently, this paper employs a coupled coordination model and a geographical detector model to elucidate the influencing mechanisms on UR of different types of SCs, focusing on UR subsystems and indicators. Finally, this paper empirically examines the spatial correlation network effects of UR under various US scenarios using a social network analysis model. The results show that many SCs have progressively adjusted to the challenges posed by US, and the UR of SCs has shown an upward trend from 2010 to 2021. Cities with higher US levels generally show lower coordination in UR subsystems. The comprehensive utilization rate of industrial solid waste and road freight per capita are crucial for improving the UR of cities with higher US levels. Moreover, US probably strengthens UR connections between cities, facilitating resilience transmission and dissemination. These findings advance UR research within the US framework and offer theoretical foundations and planning guidance for environmentally friendly and high-quality development in shrinking cities. Full article
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<p>Study area. Notes: (<b>a</b>) indicates the location of the study area. (<b>b</b>–<b>d</b>) represent the population, fiscal revenue per capita, and the number of employees in the tertiary sector of the study area in 2021, respectively.</p>
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<p>Conceptual framework of the interactions between US and UR.</p>
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<p>The methodological framework of this study.</p>
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<p>Spatial and temporal pattern of SCs in China.</p>
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<p>Characteristics of the spatiotemporal evolution of UR. Notations: The division standards for different UR levels are Low (UR ≤ 0.102), Lower (0.102 &lt; UR ≤ 0.148), Medium (0.148 &lt; UR ≤ 0.210), Higher (0.210 &lt; UR ≤ 0.298), and High (UR &gt; 0.298).</p>
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<p>Characteristics of the spatiotemporal evolution of URC in 2010–2015 (T1) and 2015–2021 (T2) from the perspective of US. Notations: The division standards for different URC levels are Small difference (URC ≤ −0.057), Smaller difference (−0.057 &lt; URC ≤ −0.007), Moderate difference (−0.007 &lt; URC ≤ 0.023), Larger difference (0.023 &lt; URC ≤ 0.060), and Large difference (URC &gt; 0.060).</p>
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<p>The CD of UR systems from 2010 to 2021.</p>
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<p>The CCD of UR systems from 2010 to 2021.</p>
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<p>The change of CCD types in different SCs.</p>
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<p>Influencing factors of UR in different SCs.</p>
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<p>Structure indicators of UR spatial association network in different SCs.</p>
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<p>Topological structure diagrams of UR networks in different SCs. Node size is proportional to the number of direct connections each city has with other cities. The darker the color of a node, the higher the local clustering coefficient of the city.</p>
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18 pages, 4750 KiB  
Article
An Efficient Coordinated Observer LQR Control in a Platoon of Vehicles for Faster Settling Under Disturbances
by Nandhini Murugan and Mohamed Rabik Mohamed Ismail
World Electr. Veh. J. 2025, 16(1), 28; https://doi.org/10.3390/wevj16010028 - 7 Jan 2025
Viewed by 607
Abstract
The rapid proliferation of vehicles globally presents significant challenges to road transportation efficiency and safety, including accidents, emissions, energy utilization, and road management. Autonomous vehicle platooning emerges as a promising solution within intelligent transportation systems, offering benefits like reduced fuel consumption and emissions, [...] Read more.
The rapid proliferation of vehicles globally presents significant challenges to road transportation efficiency and safety, including accidents, emissions, energy utilization, and road management. Autonomous vehicle platooning emerges as a promising solution within intelligent transportation systems, offering benefits like reduced fuel consumption and emissions, and optimized road use. However, implementing autonomous vehicle platooning faces obstacles such as stability under disturbances, safety protocols, communication networks, and precise control. This paper proposes a novel control strategy coordinated Kalman observer–Linear Quadratic Regulator (CKO-LQR) to ensure platoon formation stability in the presence of disturbances. The disturbances considered include vehicle movements, sensor noise, and communication delays, with the leading vehicle’s movement serving as the commanding signal. The proposed controller maintains a constant inter-gap distance between vehicles despite the disturbances utilizing a coordinated Kalman observer to estimate preceding vehicle movements. A comparative analysis with conventional PID controllers demonstrates superior performance in terms of faster settling times and robustness against disturbances. This research contributes to enhancing the efficiency and safety of autonomous vehicle platooning systems. Full article
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<p>(<b>a</b>) Schematic structure of ACC assisting platoon. (<b>b</b>) Control structure of an ACC with time headway spacing policy.</p>
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<p>(<b>a</b>) Schematic representation of CACC assisting platoon. (<b>b</b>) Control structure of a CACC with time headway spacing policy.</p>
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<p>Platoon formation implemented with PID controller.</p>
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<p>Coordinated Kalman observer for LQR controller.</p>
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<p>(<b>a</b>) Platoon formation implemented with LQR controller. (<b>b</b>) Procedure for coordinated Kalman observer.</p>
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<p>Visual depiction of a PID controller in a platoon.</p>
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<p>Visual depiction of an LQR controller in a platoon.</p>
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<p>Implementation of Kalman filter with PID controller. (<b>a</b>) Response deprived of estimation. (<b>b</b>) Response with Kalman estimation.</p>
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<p>Implementation of Kalman filter with LQR controller. (<b>a</b>) Response deprived of estimation. (<b>b</b>) Response with CKO-LQR.</p>
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<p>Evaluating time-domain performance of PID and LQR controller.</p>
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<p>Comparison of LQR and CKO-LQR performance in the 6th vehicle (<b>a</b>) during 1st disturbance (<b>b</b>) during 2nd disturbance.</p>
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37 pages, 15011 KiB  
Article
Steering-Angle Prediction and Controller Design Based on Improved YOLOv5 for Steering-by-Wire System
by Cunliang Ye, Yunlong Wang, Yongfu Wang and Yan Liu
Sensors 2024, 24(21), 7035; https://doi.org/10.3390/s24217035 - 31 Oct 2024
Viewed by 1044
Abstract
A crucial role is played by steering-angle prediction in the control of autonomous vehicles (AVs). It mainly includes the prediction and control of the steering angle. However, the prediction accuracy and calculation efficiency of traditional YOLOv5 are limited. For the control of the [...] Read more.
A crucial role is played by steering-angle prediction in the control of autonomous vehicles (AVs). It mainly includes the prediction and control of the steering angle. However, the prediction accuracy and calculation efficiency of traditional YOLOv5 are limited. For the control of the steering angle, angular velocity is difficult to measure, and the angle control effect is affected by external disturbances and unknown friction. This paper proposes a lightweight steering angle prediction network model called YOLOv5Ms, based on YOLOv5, aiming to achieve accurate prediction while enhancing computational efficiency. Additionally, an adaptive output feedback control scheme with output constraints based on neural networks is proposed to regulate the predicted steering angle using the YOLOv5Ms algorithm effectively. Firstly, given that most lane-line data sets consist of simulated images and lack diversity, a novel lane data set derived from real roads is manually created to train the proposed network model. To improve real-time accuracy in steering-angle prediction and enhance effectiveness in steering control, we update the bounding box regression loss function with the generalized intersection over union (GIoU) to Shape-IoU_Loss as a better-converging regression loss function for bounding-box improvement. The YOLOv5Ms model achieves a 30.34% reduction in weight storage space while simultaneously improving accuracy by 7.38% compared to the YOLOv5s model. Furthermore, an adaptive output feedback control scheme with output constraints based on neural networks is introduced to regulate the predicted steering angle via YOLOv5Ms effectively. Moreover, utilizing the backstepping control method and introducing the Lyapunov barrier function enables us to design an adaptive neural network output feedback controller with output constraints. Finally, a strict stability analysis based on Lyapunov stability theory ensures the boundedness of all signals within the closed-loop system. Numerical simulations and experiments have shown that the proposed method provides a 39.16% better root mean squared error (RMSE) score than traditional backstepping control, and it achieves good estimation performance for angles, angular velocity, and unknown disturbances. Full article
(This article belongs to the Special Issue Deep Learning for Perception and Recognition: Method and Applications)
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<p>The lightweight steering-angle prediction network model, namely YOLOv5Ms, based on YOLOv5s and a control schematic network.</p>
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<p>The specific slicing and concat principles.</p>
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<p>Bottleneck block structure.</p>
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<p>Standard convolution architecture.</p>
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<p>Depthwise separable convolution architecture.</p>
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<p>(<b>Left</b>): standard convolutional layer with batchnorm and ReLU. (<b>Right</b>): depthwise, separable convolution with depthwise and pointwise layers, followed by batchnorm and ReLU.</p>
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<p>The structure of the SE building block.</p>
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<p>Schematic diagram of the bounding-box regression loss function.</p>
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<p>Illustrative images extracted from the acquired unprocessed training data.</p>
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<p>Comparison of the precision, recall rate, mAP@0.5, and mAP@0.5:0.95 of the six models of YOLOv5 in the training and verification stages: (<b>a</b>) precision, (<b>b</b>) recall, (<b>c</b>) mAP@0.5, and (<b>d</b>) mAP@0.5:0.95.</p>
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<p>Comparison of the bounding-box regression, confidence, and classification of the six models of YOLOv5 in the training and validation stages: (<b>a</b>) CIoU, (<b>b</b>) val CIoU, (<b>c</b>) objectness, (<b>d</b>) val objectness, (<b>e</b>) classification, and (<b>f</b>) val classification.</p>
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<p>Images labeled with tags and the outcomes of tests.</p>
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<p>Overall structure diagram of SbW system.</p>
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<p>The control principles and procedures of the method proposed in this paper.</p>
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<p>The simulation results. <b>(a</b>) Position-tracking performance; (<b>b</b>) tracking error; (<b>c</b>) angular position; (<b>d</b>) angular velocity; (<b>e</b>) friction and torque; (<b>f</b>) RMSE.</p>
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<p>The schematic diagram of the YOLOv5-based end-to-end steering control for an autonomous vehicle.</p>
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<p>The experimental results. (<b>a</b>) Position-tracking performance; (<b>b</b>) tracking error; (<b>c</b>) angular position; (<b>d</b>) angular velocity; (<b>e</b>) friction and torque; (<b>f</b>) RMSE.</p>
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<p>The real-time prediction and execution of the steering angle. (<b>a</b>) Randomly selected images; (<b>b</b>) predicted angle; (<b>c</b>) reference angle; (<b>d</b>) position tracking performance; (<b>e</b>) angular position; (<b>f</b>) angular velocity.</p>
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18 pages, 10629 KiB  
Article
H Differential Game of Nonlinear Half-Car Active Suspension via Off-Policy Reinforcement Learning
by Gang Wang, Jiafan Deng, Tingting Zhou and Suqi Liu
Mathematics 2024, 12(17), 2665; https://doi.org/10.3390/math12172665 - 27 Aug 2024
Viewed by 714
Abstract
This paper investigates a parameter-free H differential game approach for nonlinear active vehicle suspensions. The study accounts for the geometric nonlinearity of the half-car active suspension and the cubic nonlinearity of the damping elements. The nonlinear H control problem is reformulated [...] Read more.
This paper investigates a parameter-free H differential game approach for nonlinear active vehicle suspensions. The study accounts for the geometric nonlinearity of the half-car active suspension and the cubic nonlinearity of the damping elements. The nonlinear H control problem is reformulated as a zero-sum game between two players, leading to the establishment of the Hamilton–Jacobi–Isaacs (HJI) equation with a Nash equilibrium solution. To minimize reliance on model parameters during the solution process, an actor–critic framework employing neural networks is utilized to approximate the control policy and value function. An off-policy reinforcement learning method is implemented to iteratively solve the HJI equation. In this approach, the disturbance policy is derived directly from the value function, requiring only a limited amount of driving data to approximate the HJI equation’s solution. The primary innovation of this method lies in its capacity to effectively address system nonlinearities without the need for model parameters, making it particularly advantageous for practical engineering applications. Numerical simulations confirm the method’s effectiveness and applicable range. The off-policy reinforcement learning approach ensures the safety of the design process. For low-frequency road disturbances, the designed H control policy enhances both ride comfort and stability. Full article
(This article belongs to the Special Issue New Advances in Vibration Control and Nonlinear Dynamics)
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<p>Half-car suspension model.</p>
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<p>Actor–critic structure for off-policy RL.</p>
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<p>Hardware-in-the-loop simulation.</p>
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<p>Critic NN weight coefficients.</p>
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<p>Actor NN weight coefficients.</p>
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<p>Number of updates.</p>
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<p>Control actions for data collection.</p>
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<p>Disturbance actions for data collection.</p>
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<p>Road excitation profile for test.</p>
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<p>The evolution of the pitch acceleration.</p>
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<p>The evolution of the vertical acceleration.</p>
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<p>The evolution of the suspension performance <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mn>2</mn> </msub> </mrow> </semantics></math>.</p>
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<p>Evolution of <math display="inline"><semantics> <mrow> <mi>r</mi> <mfenced> <mi>t</mi> </mfenced> </mrow> </semantics></math>.</p>
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13 pages, 5324 KiB  
Article
Research on High-Precision Dynamic Modeling and Performance Evaluation of Inertially Stabilized Platforms
by Baoyu Li, Xin Xie, Yuwen Liao and Dapeng Fan
Appl. Sci. 2024, 14(14), 6074; https://doi.org/10.3390/app14146074 - 12 Jul 2024
Cited by 1 | Viewed by 1123
Abstract
The complex influence of various disturbances on an inertially stabilized platform (ISP) restricts the further improvement of its servo performance. This article investigates the mapping relationship between internal and external disturbances and servo performance by establishing a high-precision dynamics model of the servo [...] Read more.
The complex influence of various disturbances on an inertially stabilized platform (ISP) restricts the further improvement of its servo performance. This article investigates the mapping relationship between internal and external disturbances and servo performance by establishing a high-precision dynamics model of the servo device with simulation and experiment. For internal disturbances, a nonlinear model of friction and backlash is established based on a BP neural network, and the transmission error is reconstructed based on the principle of main order invariance. For external disturbances, the road disturbance torque, changing inertia, and mass imbalance torque are modeled. The quantitative mapping relationship between internal and external disturbances and servo performance is obtained through simulation, in which friction and road disturbance are the largest internal and external factors affecting the servo performance, respectively. These conclusions are verified by load simulation experiments on a certain type of servo device, in which the servo performance is improved by 17% for every 25% reduction of friction torque, and the servo performance is reduced by 12% for every 33% increase of road disturbance torque. The research results provide a reference for servo device selection, performance indicator assignment, and performance prediction of the ISP. Full article
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<p>A schematic diagram of the ISP.</p>
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<p>Dynamic model of the ISP servo device.</p>
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<p>Servo actuator experimental platform.</p>
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<p>Simulation model of the ISP servo system.</p>
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<p>The statistics of (<b>a</b>) equivalent stabilization accuracy, (<b>b</b>) speed stability, (<b>c</b>) comprehensive servo performance.</p>
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<p>The influence of a single factor on (<b>a</b>) equivalent stabilization accuracy, (<b>b</b>) speed stability, (<b>c</b>) comprehensive servo performance.</p>
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<p>The influence of friction torque on the sinusoidal following response.</p>
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<p>The relationship between the friction torque and equivalent stabilization accuracy.</p>
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<p>The influence of road disturbance torque on the sinusoidal following response.</p>
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<p>The relationship between the road disturbance torque and speed stability.</p>
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11 pages, 8566 KiB  
Article
Sparsity-Robust Feature Fusion for Vulnerable Road-User Detection with 4D Radar
by Leon Ruddat, Laurenz Reichardt, Nikolas Ebert and Oliver Wasenmüller
Appl. Sci. 2024, 14(7), 2781; https://doi.org/10.3390/app14072781 - 26 Mar 2024
Cited by 1 | Viewed by 1203
Abstract
Detecting vulnerable road users is a major challenge for autonomous vehicles due to their small size. Various sensor modalities have been investigated, including mono or stereo cameras and 3D LiDAR sensors, which are limited by environmental conditions and hardware costs. Radar sensors are [...] Read more.
Detecting vulnerable road users is a major challenge for autonomous vehicles due to their small size. Various sensor modalities have been investigated, including mono or stereo cameras and 3D LiDAR sensors, which are limited by environmental conditions and hardware costs. Radar sensors are a low-cost and robust option, with high-resolution 4D radar sensors being suitable for advanced detection tasks. However, they involve challenges such as few and irregularly distributed measurement points and disturbing artifacts. Learning-based approaches utilizing pillar-based networks show potential in overcoming these challenges. However, the severe sparsity of radar data makes detecting small objects with only a few points difficult. We extend a pillar network with our novel Sparsity-Robust Feature Fusion (SRFF) neck, which combines high- and low-level multi-resolution features through a lightweight attention mechanism. While low-level features aid in better localization, high-level features allow for better classification. As sparse input data are propagated through a network, the increasing effective receptive field leads to feature maps of different sparsities. The combination of features with different sparsities improves the robustness of the network for classes with few points. Full article
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<p>The detection of vulnerable road users (VRU) from 4D radar data (colored dots) is particularly challenging due to the sparsity of radar sensor data, especially for small objects. With our SRFF, we present a method that specifically targets the detection (green boxes) of these objects.</p>
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<p>Representation of our Radar Pillar Feature Fusion Network. First, pseudo-images are created from the radar point cloud. Subsequently, the backbone is used to generate deep semantic features, which are, in turn, fused by the Sparsity-Robust Feature Fusion (SRFF) to ensure robust pedestrian detection by the anchor head.</p>
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<p>Overview of CBAM [<a href="#B33-applsci-14-02781" class="html-bibr">33</a>] and CSAM [<a href="#B34-applsci-14-02781" class="html-bibr">34</a>] architectures. (<b>a</b>) CBAM architecture [<a href="#B33-applsci-14-02781" class="html-bibr">33</a>]. (<b>b</b>) CSAM architecture [<a href="#B34-applsci-14-02781" class="html-bibr">34</a>].</p>
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<p>Qualitative evaluation of our pillar-based network with the novel SRFF module on the View-of-Delft dataset [<a href="#B5-applsci-14-02781" class="html-bibr">5</a>]. The network is able to detect smaller objects with just a few points from 4D radar data. The classes are color-coded: <span class="html-italic">cars</span> (<span style="color: #0000FF">blue</span>), <span class="html-italic">pedestrians</span> (<span style="color: #00FF00">green</span>), and <span class="html-italic">cyclists</span> (<span style="color: #FF0000">red</span>).</p>
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15 pages, 2231 KiB  
Article
Vehicle Driving Safety of Underground Interchanges Using a Driving Simulator and Data Mining Analysis
by Zhen Liu, Qifeng Yang, Anlue Wang and Xingyu Gu
Infrastructures 2024, 9(2), 28; https://doi.org/10.3390/infrastructures9020028 - 2 Feb 2024
Cited by 16 | Viewed by 2351
Abstract
In the process of driving in an underground interchange, drivers are faced with many challenges, such as being in a closed space, visual changes alternating between light and dark conditions, complex road conditions in the confluence section, and dense signage, which directly affect [...] Read more.
In the process of driving in an underground interchange, drivers are faced with many challenges, such as being in a closed space, visual changes alternating between light and dark conditions, complex road conditions in the confluence section, and dense signage, which directly affect the safety and comfort of drivers in an underground interchange. Thus, driving simulation, building information modeling (BIM), and data mining were used to analyze the impact of underground interchange safety facilities on driving safety and comfort. Acceleration disturbance and steering wheel comfort loss values were used to assist the comfort analysis. The CART algorithm, classification decision trees, and neural networks were used for data mining, which uses a dichotomous recursive partitioning technique where multiple layers of neurons are superimposed to fit and replace very complex nonlinear mapping relationships. Ten different scenarios were designed for comparison. Multiple linear regression combined with ANOVA was used to calculate the significance of the control variables for each scenario on the evaluation index. The results show that appropriately reducing the length of the deceleration section can improve driving comfort, setting reasonable reminder signs at the merge junction can improve driving safety, and an appropriate wall color can reduce speed oscillation. This study indicates that the placement of traffic safety facilities significantly influences the safety and comfort of driving in underground interchanges. This study may provide support for the optimization of the design of underground interchange construction and internal traffic safety facilities. Full article
(This article belongs to the Special Issue Recent Progress in Transportation Infrastructures)
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<p>Three-dimensional scene of UI: (<b>a</b>) 3D modeling and (<b>b</b>) driving simulation scenario.</p>
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<p>Driving scenario of test personnel in driving simulation experiment.</p>
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<p>Area division of underground interchange: (<b>a</b>) entrance, (<b>b</b>) DC1, (<b>c</b>) DC2, and (<b>d</b>) exit.</p>
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<p>CART analysis results of the entrance section.</p>
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<p>Prediction results of neural network under different entrance distances of entrance segment.</p>
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<p>CART analysis results: (<b>a</b>) <span class="html-italic">V</span> of DC1, (<b>b</b>) <span class="html-italic">a</span> of DC2, and (<b>c</b>) <span class="html-italic">V</span> of exit section.</p>
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21 pages, 14404 KiB  
Article
CrackYOLO: Rural Pavement Distress Detection Model with Complex Scenarios
by Yuxuan Li, Shangyu Sun, Weidong Song, Jinhe Zhang and Qiaoshuang Teng
Electronics 2024, 13(2), 312; https://doi.org/10.3390/electronics13020312 - 10 Jan 2024
Cited by 5 | Viewed by 2100
Abstract
The maintenance level of rural roads is relatively low, and the automated detection of pavement distress is easily affected by the shadows of rows of trees, weeds, soil, and distress object scale disparities; this makes it difficult to accurately evaluate the distress conditions [...] Read more.
The maintenance level of rural roads is relatively low, and the automated detection of pavement distress is easily affected by the shadows of rows of trees, weeds, soil, and distress object scale disparities; this makes it difficult to accurately evaluate the distress conditions of the pavement. To solve the above problems, this study specifically designed a target detection network called Crack Convolution (CrackYOLO) for pavement crack extraction on rural roads. CrackYOLO is based on an improved YOLOv5. The shadow created by rows of trees leads to the loss of crack features in the feature extraction and downsampling stages of the network; therefore, CrackConv and Adapt-weight Down Sample (ADSample) were introduced to strengthen the ability to locate and identify cracks. Due to disturbances such as soil and weeds, which cause the extraction of more redundant features, the Channel And Spatial mixed attention mechanism (CAS) was introduced to enhance crack weight. To address the issue of missed detections of fine cracks due to significant scale variations in crack objects in the same image, Multi Scale Convolution (MSConv) and Multi Scale Head (MSHead) were incorporated during the feature fusion and prediction inference stages of the network, thereby improving the multi-scale detection performance. In order to verify the effectiveness of the proposed method, the detection accuracy of CrackYOLO when used on the LNTU_RDD_NC dataset was determined to be 9.99%, 12.79%, and 4.61% higher than that of the current pavement crack detection models YOLO-LWNet, Faster R-CNN, and YOLOv7. At the same time, we compare the above model on public datasets of different scenarios, and the experimental results show that CrackYOLO has the same strong performance in urban roads and other scenarios. Full article
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<p>Comparison of two pavement crack images.</p>
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<p>CrackYOLO model structure.</p>
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<p>Crack convolution.</p>
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<p>Illustration of the coordinate calculation for CrackConv.</p>
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<p>ADSample down sample.</p>
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<p>CAS hybrid attention mechanism structure diagram.</p>
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<p>MSConv multi-scale convolution.</p>
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<p>AHead detection head.</p>
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<p>Selected LNTU_RDD_NC dataset images.</p>
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<p>Different network recognition effect comparisons.</p>
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<p>Dataset of different models to identify cracks in rural roads. (<b>a</b>) Showing transverse cracks in shadow; (<b>b</b>) Showing disturbing cracks; (<b>c</b>) Showing reticular cracks in shadow interference; (<b>d</b>) Showing vertical cracks of different scales; (<b>e</b>) Showing transverse cracks with small disturbances.</p>
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<p>Public dataset identification results.</p>
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<p>Open dataset recognition effect.</p>
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<p>Analysis of experimental identification results for each group.</p>
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<p>Shadow occlusion detection results. (<b>a</b>) Shows transverse cracks under shadow; (<b>b</b>) Shows reticular cracks under shadow; (<b>c</b>) Shows longitudinal cracks under shadow.</p>
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<p>Minor interference detection results. (<b>a</b>) Shows the interference items such as branches and soil around the crack; (<b>b</b>) Shows the situation where the interference items of branches are misidentified.</p>
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<p>Multi-scale detection results. (<b>a</b>) shows small transverse cracks of different scales; (<b>b</b>) shows vertical cracks of multiple scales; (<b>c</b>) shows small longitudinal cracks of different scales.</p>
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13 pages, 2825 KiB  
Article
A Theoretical Study on the Resilience Evaluation Method of Operational Road Tunnel Systems
by Chongbang Xu, Hongchuan Hu and Hao Wang
Appl. Sci. 2023, 13(24), 13279; https://doi.org/10.3390/app132413279 - 15 Dec 2023
Cited by 3 | Viewed by 1366
Abstract
Road tunnel operation will suffer from a lot of uncertain external disturbances, which will greatly affect the operational safety of road tunnels and even block traffic. Focusing on road tunnel operation safety and disaster-resistant ability, the concept of resilience is introduced to provide [...] Read more.
Road tunnel operation will suffer from a lot of uncertain external disturbances, which will greatly affect the operational safety of road tunnels and even block traffic. Focusing on road tunnel operation safety and disaster-resistant ability, the concept of resilience is introduced to provide a scientific and effective basis for road tunnel operation and emergency management. In this paper, the concept of tunnel system resilience was proposed based on the concept of system resilience. A theoretical analysis model of road tunnel resilience was built to describe the change in road tunnel system function over time due to external disturbances (e.g., fires, traffic accidents, floods, earthquakes). Five fundamental attributes of road tunnel system resilience were proposed to describe the resilience level. A resilience evaluation method for road tunnels was proposed based on the functional network. The vulnerable links of road tunnels subjected to external disturbances can be analyzed using this method. This study will provide important references for the resilience evaluation method of road tunnels and risk mitigation strategies. Full article
(This article belongs to the Section Civil Engineering)
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<p>The relationship diagram of resilience concept keyword.</p>
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<p>Classification diagram of a road tunnel system.</p>
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<p>Classification diagram of “external disturbance” in the road tunnel.</p>
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<p>Road tunnel resilience triangle.</p>
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<p>Resilience theoretical model of a road tunnel system, where F<sub>before</sub> is the value of the system function level of the road tunnel before the influence of external disturbance. F<sub>after</sub> is the value of the system function level of the road tunnel after the influence of external disturbances. F<sub>recover</sub> is the value of the system function level of the road tunnel after road tunnel system restoration. F<sub>min</sub> is the lowest level of system function when the basic traffic capacity of the road tunnel is satisfied. ΔF is the disaster loss value of the road tunnel system. t<sub>1</sub> is the moment when the road tunnel system suffers from a natural disaster or emergency event. t<sub>2</sub> is the moment when the function of the road tunnel system declines to the lowest value. t<sub>3</sub> is the moment when the function of the road tunnel system begins to recover. t<sub>4</sub> is the moment when the function of the road tunnel system is restored to its normal state.</p>
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<p>Ideal resilience curve of the road tunnel system, where Δt is the disaster loss lag time.</p>
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<p>Functional network diagram of the road tunnel system, where I is the infrastructure system of the road tunnel, and A is the auxiliary function system of the road tunnel.</p>
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<p>Resilience evaluation diagram of road tunnel considering different operating environments.</p>
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23 pages, 16298 KiB  
Article
Optimal Control Method of Semi-Active Suspension System and Processor-in-the-Loop Verification
by Turgay Ergin and Meral Özarslan Yatak
Appl. Sci. 2023, 13(20), 11253; https://doi.org/10.3390/app132011253 - 13 Oct 2023
Cited by 3 | Viewed by 1960
Abstract
This study presents an implementation of a proportional–integral–derivative (PID) controller utilizing particle swarm optimization (PSO) to enhance the compromise on road holding and ride comfort of a quarter car semi-active suspension system (SASS) through simulation and experimental study. The proposed controller is verified [...] Read more.
This study presents an implementation of a proportional–integral–derivative (PID) controller utilizing particle swarm optimization (PSO) to enhance the compromise on road holding and ride comfort of a quarter car semi-active suspension system (SASS) through simulation and experimental study. The proposed controller is verified with a processor-in-the-loop (PIL) approach before real-time suspension tests. Using experimental data, the magnetorheological damper (MR) is modeled by an artificial neural network (ANN). A series of experiments are applied to the system for three distinct bump disturbances. The algorithm performance is evaluated by various key metrics, such as suspension deflection, sprung mass displacement, and sprung mass acceleration for simulation. The phase plane method is used to prove the stability of the system. The experimental results reveal that the proposed controller for the SASS significantly improves road holding and ride comfort simultaneously. Full article
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<p>Quarter car model of SASS.</p>
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<p>Structure and prototype of the MR damper.</p>
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<p>The Roehrig 20VS shock absorber test device.</p>
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<p>The MR damper model ANN structure.</p>
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<p>Regression resultsfor the ANN.</p>
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<p>Training performance for the ANN.</p>
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<p>MR damper characterization. (<b>a</b>) Test results for the MR damper obtained from test rig. (<b>b</b>) Predicted values for the MR damper with ANN.</p>
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<p>Experimental test setup.</p>
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<p>Block diagram of the proposed MR damper controller.</p>
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<p>Phase planes of the system (<b>a</b>) unsprung mass displacement and velocity, (<b>b</b>) sprung mass displacement and velocity.</p>
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<p>Prototyping methods: from simple to complex.</p>
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<p>Prepared PIL structure for this study.</p>
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<p>Random road input.</p>
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<p>Sprung mass displacements for random Type-C road input.</p>
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<p>Sprung mass accelerations for random Type-C road input.</p>
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<p>Suspension deflections for random Type-C road profile.</p>
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<p>Bump road input.</p>
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<p>Sprung mass displacements for the bump input.</p>
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<p>Sprung mass accelerations for the bump input.</p>
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<p>Suspension deflection for passive suspension system and SASS.</p>
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<p>Test for the highest bump (<b>a</b>) passive system, (<b>b</b>) SASS.</p>
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<p>Test results for the medium bump (<b>a</b>) passive system, (<b>b</b>) SASS.</p>
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<p>Test lowest bump (<b>a</b>) passive system (<b>b</b>) SASS.</p>
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17 pages, 6412 KiB  
Article
Identification of Abandoned Logging Roads in Point Reyes National Seashore
by William Wiskes, Leonhard Blesius and Ellen Hines
Remote Sens. 2023, 15(13), 3369; https://doi.org/10.3390/rs15133369 - 30 Jun 2023
Viewed by 1425
Abstract
Temporary roads are often placed in mountainous regions for logging purposes but then never decommissioned and removed. These abandoned forest roads often have unwanted environmental consequences. They can lead to altered hydrological regimes, excess erosion, and mass wasting events. These events can affect [...] Read more.
Temporary roads are often placed in mountainous regions for logging purposes but then never decommissioned and removed. These abandoned forest roads often have unwanted environmental consequences. They can lead to altered hydrological regimes, excess erosion, and mass wasting events. These events can affect sediment budgets in streams, with negative consequences for anadromous fish populations. Maps of these roads are frequently non-existent; therefore, methods need to be created to identify and locate these roads for decommissioning. Abandoned logging roads in the Point Reyes National Seashore in California, an area partially under heavy forest canopy, were mapped using object-based image processing in concert with machine learning. High-resolution Q1 LiDAR point clouds from 2019 were used to create a bare earth model of the region, from which a slope model was derived. This slope model was then subjected to segmentation algorithms to identify and isolate regions of differing slopes. Regions of differing slopes were then used in a convolutional neural network (CNN), and a maximum likelihood classifier was used to delineate the historic road network. The accuracy assessment was conducted using historic aerial photos of the state of the region post-logging, along with ground surveys to verify the presence of logging roads in areas of question. This method was successfully able to identify road networks with a precision of 0.991 and an accuracy of 0.992. It was also found that the CNN was able to identify areas of highest disturbance to the slope gradient. This methodology is a valuable tool for decision makers who need to identify areas of high disturbance in order to mitigate adverse effects. Full article
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<p>The 11.75 km<sup>2</sup> study area is located in the Five Brooks region of the Point Reyes National Seashore. Sentinel 2 imagery from 16 October 2020.</p>
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<p>Two examples of abandoned logging roads present within the study area, where location (<b>a</b>) depicts a sample area within the study area where a road has been placed in a mid-slope position. Location (<b>b</b>) depicts a road in a hill-top position. In photos on left, natural slope is shown in blue, and incised logging roads are marked in red. Graphic on the right depicts cross-sectional views of LiDAR taken of same location.</p>
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<p>Workflow from unprocessed LiDAR to extracted road network.</p>
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<p>A small subset of the training area after segmentation.</p>
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<p>The output of the convolutional neural network. Each color band corresponds to each one of the three classes present in the model. Red represents the areas of highest likelihood of being roads (road class); blue represents possible roads (candidate class); and green highest likelihood of not being roads (exclusion class).</p>
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<p>Membership functions in eCognition for maximum likelihood classifier from CNN heatmaps, where item (<b>a</b>) shows road membership, item (<b>b</b>) depicts the candidate class for growing roads into, and item (<b>c</b>) shows the exclusion class.</p>
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<p>The road classification process, where (<b>a</b>) shows initial segmentation, item (<b>b</b>) depicts initial classification, item (<b>c</b>) shows the trained neural network’s output, and item (<b>d</b>) shows the growing process along neural network pathways. In items (<b>b</b>) through (<b>d</b>), red represents the areas with the highest likelihood of being roads (road class); blue represents possible roads (candidate class); and green represents the highest likelihood of not being roads (exclusion class).</p>
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<p>The extracted road network overlain over a historic aerial photo of the region that was used in the accuracy assessment.</p>
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<p>Complete eCognition process tree to extract the road network.</p>
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20 pages, 4957 KiB  
Article
Application of Wireless Magnetic Sensors in the Urban Environment and Their Accuracy Verification
by Kristián Čulík, Vladimíra Štefancová and Karol Hrudkay
Sensors 2023, 23(12), 5740; https://doi.org/10.3390/s23125740 - 20 Jun 2023
Cited by 6 | Viewed by 1747
Abstract
In a smart city, sensors are essential elements—the source of up-to-date traffic information. This article deals with magnetic sensors connected to wireless sensor networks (WSNs). They have a low investment cost, a long lifetime, and easy installation. However, it is still necessary to [...] Read more.
In a smart city, sensors are essential elements—the source of up-to-date traffic information. This article deals with magnetic sensors connected to wireless sensor networks (WSNs). They have a low investment cost, a long lifetime, and easy installation. However, it is still necessary to disturb the road surface locally during their installation. All road lanes to and from the city center of Žilina have sensors that send data at five-minute intervals. They send up-to-date information about the traffic flow’s intensity, speed, and composition. The LoRa network ensures the data transmission, but in the event of failure, the 4G/LTE modem realizes the backup transmission. The disadvantage of this application of sensors is their accuracy. The research task was to compare the outputs from the WSN with a traffic survey. The appropriate method for the traffic survey on the selected road profile is a video recording and speed measurement using the Sierzega radar. The results show distorted values, mainly for short intervals. The most accurate output from magnetic sensors is the number of vehicles. On the other hand, traffic flow composition and speed measurement are relatively inaccurate because it is not easy to identify vehicles based on dynamic length. Another problem with sensors is frequent communication outages, which cause an accumulation of values after the outage ends. The secondary objective of the paper is to describe the traffic sensor network and its publicly accessible database. In the end, there are several proposals for data usage. Full article
(This article belongs to the Section Sensor Networks)
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<p>Scheme of a wireless sensor network.</p>
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<p>Example of blind zone of passing vehicle shown in the graph of the disturbance of the Earth’s magnetic field.</p>
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<p>Geofencing and sensors on the city map. Streets: Komenského (1), Martina Rázusa (2), Bratislavská (3), Kysucká (4), 1. mája (5), Hálkova (6), Tajovského (7), Vysokoškolákov (8), and Košická (9).</p>
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<p>Location of sensors on Vysokoškolákov and Tajovského street. Source: processed from mapy.cz by authors.</p>
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<p>Installing the sensor—drilling the hole for the sensor (<b>left</b>) and sealing the hole after installation (<b>right</b>). Source: authors.</p>
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<p>Grafana interface: (1) data filters, (2) time filter, (3) map visualization, (4) traffic safety index, (5) graphical data visualization, (6) tabular data visualization. Source: authors.</p>
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<p>Traffic survey 11 November 2021 on 1. Mája Street—schematic representation. Source: authors.</p>
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<p>Numbers of vehicles counted by OUT sensor. Source: authors.</p>
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<p>Numbers of vehicles counted by IN sensor. Source: authors.</p>
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18 pages, 5200 KiB  
Article
Study on the Extraction Method for Ecological Corridors under the Cumulative Effect of Road Traffic
by Qinghua Qiao, Ying Zhang, Jia Liu, Lin Gan and Haiting Li
Appl. Sci. 2023, 13(10), 6091; https://doi.org/10.3390/app13106091 - 16 May 2023
Cited by 2 | Viewed by 1481
Abstract
Research on ecological corridor extraction methods has made some progress and has been gradually applied to the planning and construction of regional ecological corridors, which play a role in biodiversity conservation efforts. However, the factors affecting species migration in ecological environments are very [...] Read more.
Research on ecological corridor extraction methods has made some progress and has been gradually applied to the planning and construction of regional ecological corridors, which play a role in biodiversity conservation efforts. However, the factors affecting species migration in ecological environments are very complex, especially anthropogenic disturbances, typically including noise pollution. Their effects on species habitats, reproduction, predation, and other activities are currently underestimated. In this paper, we propose an algorithm for superposition analysis of multiple road impacts and construct an ecological corridor extraction method that considers landscape pattern, habitat quality, remote sensing ecology, and road traffic resistance to address the shortcomings of current ecological corridor extraction methods that underestimate the potential impacts of road traffic. An extraction of ecological corridors was completed in Wuhan, and a quantitative comparative analysis was conducted from multiple perspectives. The results show that the improved method was effective, with the proportion of ecological corridors not re-identified due to road traffic impacts being 0.45% and the proportion of ecological corridors with significant changes in spatial location, represented by regions far from roads or high road network density, being 22.15% in the whole of Wuhan. Full article
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<p>Extraction Process of Ecological Corridor.</p>
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<p>Road traffic impact diagram.</p>
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<p>Road traffic resistance distribution map.</p>
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<p>Spatial distribution of combined resistance considering the impact of road traffic.</p>
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<p>Spatial distribution of ecological corridors without considering the impact of road traffic.</p>
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<p>Spatial distribution of ecological corridors considering the impact of road traffic.</p>
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<p>Comparison of spatial distribution of ecological corridors before and after considering the impact of road traffic. Points ①–⑩ indicate significant changes.</p>
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<p>Corridors disappear after using improved method. (<b>a</b>–<b>c</b>) represent 3 specific examples.</p>
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<p>Corridors change after using improved method. (<b>a</b>–<b>f</b>) represent 6 specific examples.</p>
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<p>New corridors appear after using improved method.</p>
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17 pages, 633 KiB  
Article
Traffic-Related High Sleep Disturbance in the LIFE-Adult Cohort Study: A Comparison to the WHO Exposure-Response-Curves
by Melanie Schubert, Karla Romero Starke, Julia Gerlach, Matthias Reusche, Pauline Kaboth, Wolfram Schmidt, Dieter Friedemann, Janice Hegewald, Hajo Zeeb, Andrea Zülke, Steffi G. Riedel-Heller and Andreas Seidler
Int. J. Environ. Res. Public Health 2023, 20(6), 4903; https://doi.org/10.3390/ijerph20064903 - 10 Mar 2023
Cited by 2 | Viewed by 1837
Abstract
Sleep is negatively affected by environmental noise. In the present study, we investigated self-reported high sleep disturbances (being “highly sleep disturbed”—HSD) from road traffic (primary and secondary road networks), rail (train and tram) and air traffic noise in the LIFE-Adult cohort study in [...] Read more.
Sleep is negatively affected by environmental noise. In the present study, we investigated self-reported high sleep disturbances (being “highly sleep disturbed”—HSD) from road traffic (primary and secondary road networks), rail (train and tram) and air traffic noise in the LIFE-Adult cohort study in Leipzig, Germany. For this, we used exposure data from 2012 and outcome data of Wave 2 (collected during 2018–2021). HSD was determined and defined according to internationally standardized norms. The highest risk for transportation noise-related HSD was found for aircraft noise: the odds ratio (OR) was 19.66, 95% CI 11.47–33.71 per 10 dB increase in Lnight. For road and rail traffic, similar risk estimates were observed (road: OR = 2.86, 95% CI 1.92–4.28; rail: OR = 2.67, 95% CI 2.03–3.50 per 10 dB Lnight increase). Further, we compared our exposure-risk curves with the curves of the WHO environmental noise guidelines for the European region. The proportion of individuals with HSD for a given noise level was lower for rail traffic but higher for aircraft noise in the LIFE study than in the WHO curves. For road traffic, curves are not directly comparable because we also included the secondary road network. The results of our study add to the body of evidence for increased health risks by traffic noise. Moreover, the results indicate that aircraft noise is particularly harmful to health. We recommend reconsidering threshold values for nightly aircraft exposure. Full article
(This article belongs to the Special Issue Environmental Risk Assessment in Public Health)
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<p>Comparison of HSD risk curves for road traffic, rail traffic and aircraft noise between the LIFE study and the WHO (Basner and McGuire 2018 [<xref ref-type="bibr" rid="B14-ijerph-20-04903">14</xref>]).</p>
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25 pages, 2326 KiB  
Article
Characterization of Vegetation Dynamics on Linear Features Using Airborne Laser Scanning and Ensemble Learning
by Narimene Braham, Osvaldo Valeria and Louis Imbeau
Forests 2023, 14(3), 511; https://doi.org/10.3390/f14030511 - 5 Mar 2023
Cited by 1 | Viewed by 2110
Abstract
Linear feature networks are the roads, trails, pipelines, and seismic lines developed throughout many commercial boreal forests. These linear features, while providing access for industrial, recreational, silvicultural, and fire management operations, also have environmental implications which involve both the active and non-active portions [...] Read more.
Linear feature networks are the roads, trails, pipelines, and seismic lines developed throughout many commercial boreal forests. These linear features, while providing access for industrial, recreational, silvicultural, and fire management operations, also have environmental implications which involve both the active and non-active portions of the network. Management of the existing linear feature networks across boreal forests would lead to the optimization of maintenance and construction costs as well as the minimization of the cumulative environmental effects of the anthropogenic linear footprint. Remote sensing data and predictive modelling are valuable support tools for the multi-level management of this network by providing accurate and detailed quantitative information aiming to assess linear feature conditions (e.g., deterioration and vegetation characteristic dynamics). However, the potential of remote sensing datasets to improve knowledge of fine-scale vegetation characteristic dynamics within forest roads has not been fully explored. This study investigated the use of high-spatial resolution (1 m), airborne LiDAR, terrain, climatic, and field survey data, aiming to provide information on vegetation characteristic dynamics within forest roads by (i) developing a predictive model for the characterization of the LiDAR-CHM vegetation cover dynamic (response metric) and (ii) investigating causal factors driving the vegetation cover dynamic using LiDAR (topography: slope, TWI, hillshade, and orientation), Sentinel-2 optical imagery (NDVI), climate databases (sunlight and wind speed), and field inventory (clearing width and years post-clearing). For these purposes, we evaluated and compared the performance of ordinary least squares (OLS) and machine learning (ML) regression approaches commonly used in ecological modelling—multiple linear regression (mlr), multivariate adaptive regression splines (mars), generalized additive model (gam), k-nearest neighbors (knn), gradient boosting machines (gbm), and random forests (rf). We validated our models’ results using an error metric—root mean square error (RMSE)—and a goodness-of-fit metric—coefficient of determination (R2). The predictions were tested using stratified cross-validation and were validated against an independent dataset. Our findings revealed that the rf model showed the most accurate results (cross-validation: R2 = 0.69, RMSE = 18.69%, validation against an independent dataset: R2 = 0.62, RMSE = 20.29%). The most informative factors were clearing width, which had the strongest negative effect, suggesting the underlying influence of disturbance legacies, and years post-clearing, which had a positive effect on the vegetation cover dynamic. Our long-term predictions suggest that a timeframe of no less than 20 years is expected for both wide- and narrow-width roads to exhibit ~50% and ~80% vegetation cover, respectively. This study has improved our understanding of fine-scale vegetation dynamics around forest roads, both qualitatively and quantitatively. The information from the predictive model is useful for both the short- and long-term management of the existing network. Furthermore, the study demonstrates that spatially explicit models using LiDAR data are reliable tools for assessing vegetation dynamics around forest roads. It provides avenues for further research and the potential to integrate this quantitative approach with other linear feature studies. An improved knowledge of vegetation dynamic patterns on linear features can help support sustainable forest management. Full article
(This article belongs to the Special Issue Spatial Distribution and Growth Dynamics of Tree Species)
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<p>Overview of forest road network (dark grey polylines) and distribution of sampled field plots (black dots) within the three respective study areas (1−3) in the province of Quebec in eastern Canada.</p>
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<p>Visualization of LiDAR-based data. (<b>A</b>) 3D point cloud. (<b>B</b>) Canopy height model (CHM) over a forest road. (<b>C</b>) Extraction of forest road plot-level vegetation cover (%) using the CHM. (<b>D</b>) Calculation of mean vegetation cover, continuously, within the five multi-buffer areas (length = 50 m, and width increment = 1 m).</p>
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<p>R<sup>2</sup>, RMSE, and MAE for ML and OLS approaches for the characterization of vegetation cover dynamics obtained from (<b>A</b>) 10-fold stratified cross-validation (results from 20 repetitions were considered) and (<b>B</b>) an independent validation dataset. <span class="html-italic">rf = random forests</span>, <span class="html-italic">gbm</span> = <span class="html-italic">gradient boosting machines</span>, <span class="html-italic">knn = k-nearest-neighbors</span>, <span class="html-italic">mars = multivariate adaptive regression splines</span>, <span class="html-italic">gam = generalized additive model</span>, <span class="html-italic">mlr</span> = <span class="html-italic">multiple linear regression</span>.</p>
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<p>R<sup>2</sup>, RMSE, and MAE for ML and OLS approaches for the characterization of vegetation cover dynamics obtained from (<b>A</b>) 10-fold stratified cross-validation (results from 20 repetitions were considered) and (<b>B</b>) an independent validation dataset. <span class="html-italic">rf = random forests</span>, <span class="html-italic">gbm</span> = <span class="html-italic">gradient boosting machines</span>, <span class="html-italic">knn = k-nearest-neighbors</span>, <span class="html-italic">mars = multivariate adaptive regression splines</span>, <span class="html-italic">gam = generalized additive model</span>, <span class="html-italic">mlr</span> = <span class="html-italic">multiple linear regression</span>.</p>
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<p>Predictive performance of ML and OLS for the characterization of vegetation cover dynamic using (<b>A</b>) 10-fold cross-validation approaches, (<b>B</b>) An independent validation dataset. <span class="html-italic">rf = random forests</span>, <span class="html-italic">gbm = gradient boosting machines</span>, <span class="html-italic">knn = k-nearest-neighbors</span>, <span class="html-italic">mars = multivariate adaptive regression splines</span>, <span class="html-italic">gam = generalized additive model</span>, <span class="html-italic">mlr = multiple linear regression</span>.</p>
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<p><span class="html-italic">rf</span>-based factor importance by permutation accuracy. A higher average importance of the variable (<span class="html-italic">X</span>-axis) indicates a greater contribution of this individual variable in explaining within-forest road vegetation cover dynamic. A ranking of all factors is included.</p>
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<p>(<b>A</b>) Boxplots representing cross-validated <span class="html-italic">rf</span> model predictions (R<sup>2</sup> = 0.69, RMSE = 18.69%) of vegetation cover recorded within the multi-buffers extending from the road centerline, across forest road types (wide and narrow roads) for the post-clearing timeframes: &gt;20 YPC (long-term, black boxes), [10–20] YPC (mid-term, dark grey boxes), and [0–10] YPC (short-term, light grey boxes). (<b>B</b>) Boxplot of vegetation cover predictions values from the <span class="html-italic">rf</span> model (R<sup>2</sup> = 0.62, RMSE = 20.29%) considering the independent validation dataset. The <span class="html-italic">X</span> axis indicates the width of every individual buffer. Boxplots present the median (dark black line), ±1 standard deviation (rectangle) and maximum-minimum value (vertical lines or whiskers).</p>
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