Laboratory of Applied Biomechanics, Sport Sciences Department, State University of Londrina, Londrina, Brazil.
Wageningen Data Competence Center, Wageningen University and Research, Wageningen, The Netherlands.
PLoS One. 2024 Aug 12;19(8):e0308320. doi: 10.1371/journal.pone.0308320. eCollection 2024.
Football teams' tactical organization on the pitch is usually represented by the surface area. Considering the different shapes adopted by the teams during the match, the role of the tactical variability for success is lacking. The aim of this study was to explore and to evaluate the association between recurrent states of tactical organization and technical performance during football matches. A total of 28 teams of Brazilian First Division Championships were analysed. Teams' surface area shapes were represented by the maximum value of the Multiscale Fractal Dimension in each timestamp, producing a time series. Recurrences of states of tactical organization were determined via recurrence plots and recurrence quantitative analysis during attacking and defending phases, and considering the whole match. The outcomes were correlated with nine traditional technical performance indicators. The main results showed that structural recurrence or variability on tactical organization is associated with performance success during the defending and attacking actions. Recurrence plot and measures based on the recurrence density proved to be valuable tools to represent teams' dynamics.
足球场上球队的战术组织通常用场地面积来表示。考虑到球队在比赛中采用的不同形状，战术可变性对成功的作用就缺乏了。本研究旨在探索和评估足球比赛中战术组织的反复状态与技术表现之间的关联。共有 28 支巴西甲级联赛的球队参加了分析。球队的表面形状用每个时间戳的最大多重分形维数来表示，生成一个时间序列。通过递归图和递归定量分析，在防守和进攻阶段以及整个比赛中，确定战术组织状态的反复出现。结果与九项传统技术性能指标相关联。主要结果表明，战术组织的结构反复或可变性与防守和进攻行动中的表现成功有关。基于递归密度的递归图和度量标准被证明是表示球队动态的有价值工具。
