PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 28, 2026Proceedings of the Institution of Mechanical Engineers Part P Journal of Sports Engineering and Technology1 citations

Linking network structures and stochastic flow properties: An exploratory Markov-spectral case study in professional football

View Full Paper
JGJosé GamaGDGonçalo DiasMCMicael S. Couceiro

Key Points

  • This study aims to integrate network science with probabilistic modeling to analyze team performance in football.
  • Analyzed Portuguese National Team using static SNA and a Markov-spectral model across two Nations League matches.
  • Extracted match event data from Wyscout to compute indices of passing uncertainty and network properties using MATLAB.
  • Combined uPATO for SNA with Markov-spectral analysis for a comprehensive team performance assessment.
  • SNA identified key players as crucial for ball circulation, indicating a cohesive team structure.
  • Markov-spectral analysis showed the second match had higher entropy (2.84 vs 2.77 bits/pass) and a larger spectral gap (0.53 vs 0.45).
  • Descriptive variations between matches suggested increased unpredictability and faster potential diffusion of possession.

Abstract

Understanding team performance in professional football increasingly benefits from network science, which models players as nodes and their interactions as functional links. While Social Network Analysis (SNA) provides valuable structural insights, it often fails to capture the probabilistic nature of possession. This exploratory study introduces an integrated methodological framework that combines static SNA with a Markov-spectral model of ball circulation to analyse the Portuguese National Team across two high-stakes 2025 Nations League finals matches. This approach moves beyond describing who is connected to quantifying how possession flows through the team network. Match event data were obtained via the Wyscout ® platform, with all passing actions by Portugal extracted. The framework combined SNA (using uPATO ® ) with Markov-spectral analysis (implemented in MATLAB ® ) to compute indices of passing uncertainty, diffusion speed, navigability, and network robustness. The results suggested that (i) SNA identified key players as crucial hubs for ball circulation at the micro level, while indicating a cohesive team structure with adaptable macro-level properties; and (ii) Markov-spectral quantification showed descriptive between-match variations, with the second match displaying higher Entropy (2.84 vs 2.77 bits/pass), suggestive of greater unpredictability, and a larger Spectral Gap (0.53 vs 0.45), indicative of faster potential diffusion of possession. Overall, this integrated approach demonstrates the feasibility of profiling team coordination through both structural configuration and stochastic flow properties. The Markov-spectral framework complements traditional SNA by providing quantifiable indices related to passing variability, network navigability, and structural cohesion, offering a multi-layered, proof-of-concept toolkit for analysing collective performance.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Gama et al. (2026) studied this question.

synapsesocial.com/papers/6a17dcdf3fad632b0f9d987chttps://doi.org/10.1177/17543371261448957
Ask AI
Helpful
Bookmark
Share
View Full Paper