足球队跑动模式的生与死：集体模式的存续塑造类莱维输运
The life and death of football team runs: survival of collective modes shapes Lévy-like transport
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中文总结 AI 辅助
本研究通过挪威女足GPS数据，揭示球员类莱维运动源于有限寿命的集体质心平移模式，其年龄依赖的存续机制连接了球员与球队层面的运动特征。
中文摘要 AI 辅助
最近在足球运动员和球队质心的研究中，报道了宽泛的跑动长度分布和短时滞超扩散现象，这引发了关于集体觅食行为的解释。然而，连接这些球员层面和球队层面特征的机制仍不清楚。我们利用来自挪威顶级女子联赛Toppserien的62场比赛、66场球队追踪比赛记录的SoccerMon GPS数据，探究了球员的输运是否继承自一个平移的球队模式，以及是什么控制着该模式的寿命。我们将球员的位移分解为质心平移和阵型内的运动，然后对方向性质心跑动的切换和终止进行建模。在较长的时滞下，质心平移在球员位移中占据了越来越大的份额。跑动寿命是宽泛但有限的：终止率在开始时最高，随年龄增长而下降，之后又略有上升。在考虑速度和方向持续性后，集体秩序仅增加了有限的预测信息。在总体水平上，一个年龄依赖的切换与终止模型在留出的比赛日期上预测了存活跑动中高阶状态的早期富集和后期消耗。这些结果通过一个寿命有限的集体模式将球员和球队层面的类莱维运动联系起来，该模式的年龄和内部状态塑造了其存续。长位移不需要预先选择；它们可以在短暂的集体模式持续、重组并选择性存活时涌现。更广泛地说，轨迹统计可能记录了哪些动态历史存活下来，而不仅仅是智能体移动的规则。
英文摘要
Broad run-length distributions and short-lag superdiffusion have recently been reported in football players and team centroids, prompting a collective-foraging interpretation. The mechanism linking these player- and team-level signatures remains unclear. Using SoccerMon GPS data from 66 tracked team-match records across 62 fixtures in the Norwegian women's top-flight Toppserien, we asked whether player transport is inherited from a translating team mode and what controls the lifetime of that mode. We decomposed player displacement into centroid translation and motion within the formation, then modelled the switching and termination of directional centroid runs. At longer lags, centroid translation carried an increasing share of player displacement. Run lifetimes were broad but finite: termination was highest near onset, declined with age and rose modestly later. After accounting for speed and directional persistence, collective order added only limited predictive information. At the population level, an age-dependent switching-and-termination model predicted, on held-out match dates, the early enrichment and later depletion of high-order states among surviving runs. These results link player- and team-level Lévy-like movement through a finite-lived collective mode whose age and internal state shape its survival. Long displacements need not be selected in advance; they can emerge when transient collective modes persist, reorganise and selectively survive. More broadly, trajectory statistics may record which dynamical histories survive, not only the rules by which agents move.
发表机构
- Framewave Lab（Framewave实验室）
机构由 AI 辅助整理，请以论文原文为准。
