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The Adaptive Behavior of a Soccer Team: An Entropy-Based Analysis.

Yair Neuman1, Navot Israeli2, Dan Vilenchik3

  • 1Department of Cognitive and Brain Sciences, Zlotowski Center for Neuroscience, Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel.

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Summary

Soccer teams balance organization and disorganization for optimal performance. Higher team entropy, measured by ball passes, correlates with better season rankings and predicts future performance.

Keywords:
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Area of Science:

  • Sports Science
  • Complex Systems
  • Network Analysis

Background:

  • Competitive teams require a balance between organized cooperation and strategic disorder.
  • Understanding this dynamic is crucial for optimizing team performance in sports like soccer.
  • Previous research has not quantitatively assessed this balance in professional soccer.

Purpose of the Study:

  • To analyze the organization-disorganization dynamic in soccer using entropy measures.
  • To examine the correlation between team entropy and performance in the English Premier League.
  • To determine if entropy can predict a team's final season standing.

Main Methods:

  • Utilized Tsallis entropy to quantify the organization of ball passes within soccer teams.
  • Analyzed match data from the English Premier League 2015/2016 season.
  • Employed a super-additive entropy index for robust measurement.

Main Results:

  • A significant correlation was found between a team's entropy score and its final league position.
  • Team entropy was a significant predictor of season-end performance.
  • Entropy provided predictive value beyond a team's previous season standing.

Conclusions:

  • Team entropy, reflecting the balance of organization and disorganization, is a key performance indicator in soccer.
  • Measuring player interaction patterns through entropy offers insights into team dynamics.
  • This quantitative approach can enhance performance analysis and prediction in team sports.