大型体育赛事中的交通流现象——Vasaloppet的实证分析和宏观模拟

IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physica A: Statistical Mechanics and its Applications Pub Date : 2025-03-01 DOI:10.1016/j.physa.2025.130481
Klaus Bogenberger , Martin Treiber , Patrick Malcolm
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摘要

在大型体育赛事中,可以观察到类似汽车交通的交通流现象。在瑞典举行的长距离越野滑雪比赛Vasaloppet就是一个例子。运动员使用传统的技术,在类似于小车道的跑道上比赛,在那里,运动员的交通堵塞会阻碍他们的表现。本研究利用8年的分时数据和GPS轨迹对这些现象进行了实证分析。我们确定了关键的瓶颈、堵塞和压力点,运动员必须在比赛时钟继续滴答作响的时候等待。在自由流动条件下,由于能力的变化和技能水平的分组,移动的本质在很大程度上是分散的。利用Vasaloppet的综合数据和观察,我们开发了一个两阶段宏观模拟模型来预测和理解运动员在比赛中的流。一个阶段模拟自由流动条件,另一个阶段模拟拥挤条件。实现了多类方法,每个类基于官方分割时间数据具有不同的速度分布。使用该模型,我们模拟了现状条件下的比赛,以及两种可能减少参与者等待时间的措施:交错起跑和扩大赛道。与现状相比,这两项措施都大大减少了拥堵和等待时间。虽然由于传统和自然保护的原因,这些措施不太可能在未来的Vasaloppet比赛中实施,但我们的模型可以应用于各种大众体育赛事,如其他越野滑雪、跑步、自行车和直排滑冰项目。它可以帮助组织者测试解决运动员交通拥堵的不同措施。
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Traffic flow phenomena in large sporting events – empirical analysis and macroscopic simulation of the Vasaloppet
In large sporting events, traffic flow phenomena similar to car traffic can be observed. The Vasaloppet, a long-distance cross-country skiing race in Sweden, exemplifies this. Athletes use classical techniques and race in tracks akin to small lanes, where athlete traffic jams can impede performance. This study empirically analyzes these phenomena using eight years of split-time data and GPS tracks. We identified critical bottlenecks, jams, and stress points where athletes must wait while the race clock continues to tick. The nature of movement under free-flow conditions is largely dispersive due to varying abilities and grouping by skill level. Using comprehensive data and observations from the Vasaloppet, we developed a two-phase macroscopic simulation model to predict and understand athlete flow during races. One phase models free-flow conditions, and the other congested conditions. A multi-class approach was implemented, with each class having different speed distributions based on official split time data. Using this model, we simulated the race under status-quo conditions, as well as with two potential measures to reduce waiting time for participants: a staggered start and a widening of the race course. Both measures result in massively reduced congestion and waiting times compared to the status quo. While these measures are unlikely to be implemented in future Vasaloppet races due to tradition and nature conservation respectively, our model could be applied to various mass sporting events, such as other cross-country skiing, running, cycling, and inline skating events. It can aid organizers who can test different measures to resolve athlete traffic jams.
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来源期刊
CiteScore
7.20
自引率
9.10%
发文量
852
审稿时长
6.6 months
期刊介绍: Physica A: Statistical Mechanics and its Applications Recognized by the European Physical Society Physica A publishes research in the field of statistical mechanics and its applications. Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents. Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.
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