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Spatial and Temporal Entropies in the Spanish Football League: A Network Science Perspective.
Johann H Martínez1,2, David Garrido2,3,4, José L Herrera-Diestra5,6
1Biomedical Engineering Department, Universidad de los Andes, 111711 Bogota, Colombia.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
This study quantifies football team and player entropy using pass data. It reveals how spatial positioning and dynamic passing networks evolve during matches, offering insights into team organization and random parameter evolution.
Area of Science:
- Sports Analytics
- Network Science
- Statistical Physics
Background:
- Understanding team dynamics and player interactions is crucial in football.
- Quantifying team organization and tactical evolution remains a challenge.
Purpose of the Study:
- To quantify spatial and temporal entropy in football teams based on player passes.
- To analyze the relationship between player positions, passing behavior, and network dynamics.
Main Methods:
- Calculation of spatial entropy from pass positions for team ranking.
- Analysis of player average location versus pass entropy.
- Construction of temporal passing networks and computation of parameter deviations.
- Measurement of permutation entropy and statistical complexity of network parameter fluctuations.
Main Results:
- Spatial entropy correlates with player field positions.
- Passing network organization evolves during a match.
- Permutation entropy and statistical complexity capture network parameter evolution, identifying random changes.
Conclusions:
- Football team entropy is quantifiable through spatial and temporal pass analysis.
- Network parameter fluctuations reveal dynamic changes in team organization.
- Entropy measures can identify which network parameters evolve most randomly during a game.
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