#POSITIONAL NUMBER SYSTEM IN SOCCER PROFESSIONAL#
#POSITIONAL NUMBER SYSTEM IN SOCCER SERIES#

With this regard, there is a need of studies analysing of the distance between players distributes, which is crucial to understand the collective behaviours in sports. However, the fact that tracking datasets are quite difficult to be obtained and, sometimes, inaccessible due to the lack of tactical cameras in some stadiums, has hindered the understanding of how players interact between them. Only recently, several new metrics evaluating tactical aspects of soccer teams have been designed on the basis that players interact between them ( Taki and Hasegawa, 2000 Link et al., 2016 Spearman et al., 2017 Fernandez and Bornn, 2018), introducing a point of view based on the paradigm of Complexity Sciences ( Buldú et al., 2018). The majority of these studies focused on the performance of players based on distance ( Brito Souza et al., 2020 Clemente et al., 2020), velocity ( Marcelino et al., 2020) or acceleration ( Dalen et al., 2016) at individual level. The recent ability to detect, record, and analyse all players' positions during a soccer match has boosted a diversity of studies about player's technical, tactical and physical performance ( Gudmundsson and Horton, 2017). Therefore, we believe these results may be crucial to the development of epidemiological models aiming the predict the risk of contagion between players and, furthermore, to understand better the statistics of all actions that involve proximity between players. To the best of our knowledge, this is the largest dataset describing the proximity between soccer players. In this regard, defender-forward interactions are the most frequent. Furthermore, when the player position is taken into account, we observe that goalkeepers are the players with the lowest exposure (lower than 1 min), while forwards are the players with the highest values of the accumulated time (~21 min). Our results show a high heterogeneity of both the player-player interaction time (from 0 to 14 min) and the aggregated time with all opponents (from <1 to 44 min). Departing from a dataset containing the Euclidean positions of all players during 60 matches of the Spanish national league (30 from LaLiga Santander and 30 from LaLiga Smartbank, respectively, the first and second divisions), we analysed 1,670 participations of elite soccer players.

#POSITIONAL NUMBER SYSTEM IN SOCCER SERIES#

Specifically, we are concerned about the time a player remains at a distance to a rival that is closer than 2 m, which has a series of consequences, from the risk of contagion during a soccer match to the understanding of the tactical performance of players during the attacking/defensive phases.

#POSITIONAL NUMBER SYSTEM IN SOCCER PROFESSIONAL#

In this study, we analyse the proximity between professional players during a soccer match.

2Complex Systems Group and GISC, Universidad Rey Juan Carlos, Móstoles, Spain.

1Laboratory of Biological Networks, Centre for Biomedical Technology, Universidad Politécnica de Madrid (UPM), Madrid, Spain.

Antequera 1,2 Roberto López Del Campo 3 Ricardo Resta 3 Javier M.

Positional number system in soccer