Performance evaluation of extreme value prediction methods for bridge traffic load effects

Miaomiao Xu , Xiao-Yi Zhou , Jie Shen , Deliang Ding , Sugong Cao , C. S. Cai

Advances in Bridge Engineering ›› 2025, Vol. 6 ›› Issue (1)

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Advances in Bridge Engineering ›› 2025, Vol. 6 ›› Issue (1) DOI: 10.1186/s43251-025-00175-3
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Performance evaluation of extreme value prediction methods for bridge traffic load effects

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Abstract

This study investigates six types of prediction methods for estimating extreme bridge traffic load effects, aiming to establish a correlation between prediction accuracy and data quality. Accurately determining the distribution functions of maximum values is crucial for assessing bridge safety under traffic loads. Methods including the Peaks Over Threshold, the block maxima approach, fitting to a Normal distribution, and the Rice formula based level crossing method, are investigated. Additionally, Bayesian Updating and Predictive Likelihood techniques, integrated with the block maxima approach, are explored. The performance of these methods is assessed using two distinct datasets. The first dataset is generated from a known distribution, allowing the estimated distribution parameters and extreme values derived from each method to be compared with the true values. The analysis is then extended to more realistic scenarios, where long-run simulations provide benchmark results for evaluating the accuracy of each method. Based on the findings, recommendations are provided for selecting the most suitable prediction method, considering factors such as sample size, time interval, and the type of load effect. This work offers practical insights for improving the reliability of extreme value prediction methods in bridge safety assessments.

Keywords

Extreme value theory / Bridge traffic load effect / Prediction method / Characteristic value / Distribution parameter

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Miaomiao Xu, Xiao-Yi Zhou, Jie Shen, Deliang Ding, Sugong Cao, C. S. Cai. Performance evaluation of extreme value prediction methods for bridge traffic load effects. Advances in Bridge Engineering, 2025, 6(1): DOI:10.1186/s43251-025-00175-3

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Funding

Joint Project of Industry-University-Research of Jiangsu Province(BY20230806)

Enterprise Practice Training Project for Vocational College Teachers of Jiangsu Province(2024QYSJ053)

Zhejiang Engineering Center of Road and Bridge Intelligent Operation and Maintenance Technology(202402G)

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