Scientific journal paper Q1
The soccer game, bit by bit: An information-theoretic analysis
Luis Ramada Pereira (Pereira, L. R.); Rui J. Lopes (Lopes, R. J.); Jorge Louçã (Louçã, J.); Duarte Araújo (Araújo, D.); João Paulo Ramos (Ramos, J.);
Journal Title
Chaos, Solitons and Fractals
Year (definitive publication)
2021
Language
English
Country
United States of America
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Abstract
In this article, we present an original method to measure the rate of positional change observed during a soccer match based on the relative spatial distribution of players on the pitch. This is justified as play- ers use their relative position as a key tactical tool to contribute to their team’s objectives. A temporal network representation of the game was used, where nodes are players discretely clustered by physical proximity into disjoint clusters. This study, observational and descriptive in nature, was applied to a set of matches from a major European national football league, with players’ coordinates sampled at 10Hz, resulting in ≈ 60,000 network samples per match. We took an information theoretic approach to measur- ing the distance between successive samples. Significant correlations were found between measurements and key match events that are empirically known to result in players jostling for position, such as when striving to get unmarked or to mark. These events increase the information distance between samples, while breaks in game play have the opposite effect. Having a measurement of dynamic, structural change in soccer is an original contribution that can complement full match statistical analysis. Hierarchical de- composition of the measurements is possible at multiple levels, building an overall multi-layer map that provides insights into the game dynamics, from the individual player, to the clusters of interacting play- ers, up to the teams and their matches. This comprehensive view of the players’ interacting behavior can be useful for training, tactics and strategy development.
Acknowledgements
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Keywords
Association football,Information theory,Dynamics,Measurements,Networks
  • Mathematics - Natural Sciences
  • Physical Sciences - Natural Sciences
Funding Records
Funding Reference Funding Entity
UIDB/50008/2020 Fundação para a Ciência e a Tecnologia
UID/Multi/04466/2019 Fundação para a Ciência e a Tecnologia

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