Roecker Kai, Mahler Hubert, Heyde Christian, Röll Mareike, Gollhofer Albert
Furtwangen University, Applied Public Health (AGW), Furtwangen, Germany.
Albert-Ludwigs-University Freiburg, Institute of Sports and Sports Science (IfSS), Freiburg im Breisgau, Germany.
PLoS One. 2017 Jul 25;12(7):e0181781. doi: 10.1371/journal.pone.0181781. eCollection 2017.
The relationship between the time duration of movement (t(dur)) and related maximum possible power output has been studied and modeled under many conditions. Inspired by the so-called power profiles known for discontinuous endurance sports like cycling, and the critical power concept of Monod and Scherrer, the aim of this study was to evaluate the numerical characteristics of the function between maximum horizontal movement velocity (HSpeed) and t(dur) in soccer. To evaluate this relationship, GPS data from 38 healthy soccer players and 82 game participations (≥30 min active playtime) were used to select maximum HSpeed for 21 distinct t(dur) values (between 0.3 s and 2,700 s) based on moving medians with an incremental t(dur) window-size. As a result, the relationship between HSpeed and Log(t(dur)) appeared reproducibly as a sigmoidal decay function, and could be fitted to a five-parameter equation with upper and lower asymptotes, and an inflection point, power and decrease rate. Thus, the first three parameters described individual characteristics if evaluated using mixed-model analysis. This study shows for the first time the general numerical relationship between t(dur) and HSpeed in soccer games. In contrast to former descriptions that have evaluated speed against power, HSpeed against t(dur) always yields a sigmoidal shape with a new upper asymptote. The evaluated curve fit potentially describes the maximum moving speed of individual players during the game, and allows for concise interpretations of the functional state of team sports athletes.
运动持续时间（t(dur)）与相关的最大可能功率输出之间的关系已在多种条件下进行了研究并建立了模型。受自行车等非连续耐力运动中所谓功率曲线以及莫诺德和谢勒的临界功率概念的启发，本研究的目的是评估足球运动中最大水平移动速度（HSpeed）与t(dur)之间函数的数值特征。为了评估这种关系，使用了38名健康足球运动员的GPS数据以及82次比赛参与情况（活跃比赛时间≥30分钟），基于具有递增t(dur)窗口大小的移动中位数，为21个不同的t(dur)值（介于0.3秒和2700秒之间）选择最大HSpeed。结果，HSpeed与Log(t(dur))之间的关系可重复地呈现为S形衰减函数，并且可以拟合到一个具有上下渐近线、一个拐点、功率和下降率的五参数方程。因此，如果使用混合模型分析进行评估，前三个参数描述了个体特征。本研究首次展示了足球比赛中t(dur)与HSpeed之间的一般数值关系。与之前评估速度与功率关系的描述不同，HSpeed与t(dur)的关系始终呈现出带有新的上渐近线的S形。所评估的曲线拟合可能描述了比赛中个体球员的最大移动速度，并有助于对团队运动运动员的功能状态进行简明解释。
