**5. Conclusions**

We proposed a fractional systems' perspective for analyzing soccer teams competing within a league season. Firstly, we adopted six fitting models to describe the teams' positions along one season and interpreted the loci of the models' parameters as a signature of the system dynamics. Secondly, we studied the entropy of the models parameters' spatio-temporal patterns for comparing different leagues. Both approaches represent valid tools to describe the complex behavior of such challenging systems. The computational modeling unraveled patterns embedded in the data suggesting some common underlying dynamical effects in different leagues. The prediction quality of the two models, both in the perspective of each individual team and the league, along the season, was also analyzed. Nonetheless, several new questions emerged in the sequence of the statistical and entropic analysis. Is the apparent duality between the pairs P1 and P2 just some coincidence or do they reflect some kind of additional effects besides the standard rules of the game? The investigation of these and other questions needs the future algorithmic treatment of more data involving more seasons and leagues.

**Author Contributions:** A.M.L. and J.A.T.M. conceived, designed and performed the experiments, analyzed the data and wrote the paper. These authors contributed equally to this work. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding.

**Conflicts of Interest:** The authors declare no conflict of interest.
