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基于连接函数的混合交通下环形交叉口安全评估多元极值框架

A copula-based multivariate extreme value framework for roundabout safety evaluation under mixed traffic.

作者信息

Maji Abhijnan, Ghosh Indrajit

机构信息

Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India.

出版信息

Accid Anal Prev. 2025 Oct;221:108219. doi: 10.1016/j.aap.2025.108219. Epub 2025 Aug 27.

DOI:10.1016/j.aap.2025.108219
PMID:40876239
Abstract

Roundabouts in low- and middle-income countries are not as safe as expected due to non-lane-based traffic behaviors and heterogeneity in traffic conditions. To address the limitations of crash-based analyses, this study developed a proactive, data-driven framework that integrates high-resolution drone-recorded video-based trajectory extraction, multivariate Extreme Value Theory (EVT)-Peak-Over-Threshold (POT) modeling, and probabilistic clustering to identify and classify conflict events at unsignalized roundabouts. Trajectories from videos collected at 22 roundabouts were extracted via advanced computer-vision algorithms and processed in the Surrogate Safety Assessment Model (SSAM) developed by the Federal Highway Administration to compute four surrogate safety measures (SSMs): Time-to-Collision (TTC), Post-Encroachment Time (PET), maximum deceleration (MaxD), and maximum post-collision (hypothetical) velocity change (MaxDeltaV). The quadrivariate EVT-POT model with Gumbel-Hougaard copula was developed to capture joint exceedances of the SSMs and determine context-specific thresholds, i.e., 1.5 s for TTC and PET, -3.0 m/s for MaxD, and 4.5 m/s for MaxDeltaV, via Mean Residual Life, Threshold Stability, and AIC plots. The copula captured tail dependencies among the SSMs efficiently, marked by its goodness-of-fit diagnostics. Conflicts were mapped spatially, revealing that lane-change interactions constituted ∼ 43 %, rear-end ∼ 38 %, and crossing ∼ 19 % of conflicts, with distinct clustering at approach legs, weaving zones, and pedestrian/bicyclists crossing points. Latent profile analysis using the Gaussian Mixture Model stratified conflicts into five severity levels, i.e., from minor (29.7 %) to critical (7.6 %), enabling prioritized intervention strategies. This framework offers a scalable tool for practitioners to pinpoint high-risk areas and deploy targeted safety countermeasures, enhancing proactive roundabout safety under mixed-traffic conditions.

摘要

由于非基于车道的交通行为和交通状况的异质性,低收入和中等收入国家的环形交叉路口并不像预期的那样安全。为了解决基于碰撞分析的局限性,本研究开发了一个主动的、数据驱动的框架,该框架集成了基于高分辨率无人机记录视频的轨迹提取、多元极值理论(EVT)-阈值峰值(POT)建模和概率聚类,以识别和分类无信号环形交叉路口的冲突事件。通过先进的计算机视觉算法提取了在22个环形交叉路口收集的视频中的轨迹,并在美国联邦公路管理局开发的替代安全评估模型(SSAM)中进行处理,以计算四种替代安全措施(SSM):碰撞时间(TTC)、侵入后时间(PET)、最大减速度(MaxD)和最大碰撞后(假设)速度变化(MaxDeltaV)。开发了具有Gumbel-Hougaard连接函数的四变量EVT-POT模型,以捕获SSM的联合超限情况,并通过平均剩余寿命、阈值稳定性和AIC图确定特定于上下文的阈值,即TTC和PET为1.5秒,MaxD为-3.0米/秒,MaxDeltaV为4.5米/秒。连接函数有效地捕获了SSM之间的尾部依赖性,这通过其拟合优度诊断得以体现。冲突在空间上进行了映射,结果显示变道交互构成了约43%的冲突,追尾约38%,交叉约19%的冲突,在进口路段、交织区和行人/自行车穿越点有明显的聚类。使用高斯混合模型的潜在剖面分析将冲突分为五个严重程度级别,即从轻微(29.7%)到严重(7.6%),从而能够制定优先干预策略。该框架为从业人员提供了一个可扩展的工具,以确定高风险区域并部署有针对性的安全对策,在混合交通条件下加强环形交叉路口的主动安全。

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