Complexity emerges in measures of the marking dynamics in football games
arXiv:2207.09992 · doi:10.1103/PhysRevE.106.044308
Abstract
In this article, we study the dynamics of marking in football matches. To do this, we surveyed and analyzed a database containing the trajectories of players from both teams on the field of play during three professional games. We describe the dynamics through the construction of temporal bipartite networks of proximity. Based on the introduced concept of proximity, the nodes are the players, and the links are defined between opponents that are close enough to each other at a given moment. By studying the evolution of the heterogeneity parameter of the networks during the game, we characterized a scaling law for the average shape of the fluctuations, unveiling the emergence of complexity in the system. Moreover, we proposed a simple model to simulate the players' motion in the field from where we obtained the evolution of a synthetic proximity network. We show that the model captures with a remarkable agreement the complexity of the empirical case, hence it proves to be helpful to elucidate the underlying mechanisms responsible for the observed phenomena.
References in corpus (20)
- Power-law distributions in empirical data
- Scale-free correlations in bird flocks
- Dynamics of person-to-person interactions from distributed RFID sensor networks
- What's in a crowd? Analysis of face-to-face behavioral networks
- High resolution dynamical mapping of social interactions with active RFID
- Modularity and community detection in bipartite networks
- Detecting modules in quantitative bipartite networks: the QuaBiMo algorithm
- Inferring monopartite projections of bipartite networks: an entropy-based approach
- Mitochondrial network complexity emerges from fission/fusion dynamics
- Defining a historic football team: Using Network Science to analyze Guardiola's F.C. Barcelona
- Safe Leads and Lead Changes in Competitive Team Sports
- The average shape of a fluctuation: universality in excursions of stochastic processes
- Activity clocks: spreading dynamics on temporal networks of human contact
- Anomalous Diffusion and Long-range Correlations in the Score Evolution of the Game of Cricket
- Modeling ball possession dynamics in the game of football
- Robustness of football passing networks against continuous node and link removals
- How we move is universal: scaling in the average shape of human activity
- The game story space of professional sports: Australian Rules Football
- Stochastic model for football's collective dynamics
- Dodge and survive: modeling the predatory nature of dodgeball