# Statistics of football dynamics

@article{Mendes2007StatisticsOF, title={Statistics of football dynamics}, author={Renio S. Mendes and Luis Carlos Malacarne and Celia Anteneodo}, journal={The European Physical Journal B}, year={2007}, volume={57}, pages={357-363} }

Abstract.We investigate the dynamics of football matches.
Our goal is to characterize statistically the temporal sequence of ball movements in this collective sport game, searching for traits of complex behavior. Data were collected over a variety of matches in South American, European and World championships throughout 2005 and 2006. We show that the statistics of ball touches presents power-law tails and can be described by q-gamma distributions. To explain such behavior we propose a model… Expand

#### Figures, Tables, and Topics from this paper

#### Paper Mentions

#### 28 Citations

Emergence of self-similarity in football dynamics

- Physics
- 2014

The multiplayer dynamics of a football game is analyzed to unveil self-similarities in the time evolution of player and ball positioning. Temporal fluctuations in both the team-turf boundary and the… Expand

Statistical properties of position-dependent ball-passing networks in football games

- Mathematics, Physics
- 2014

Statistical properties of position-dependent ball-passing networks in real football games are examined. We find that the networks have the small-world property, and their degree distributions are… Expand

Timescales for exploratory tactical behaviour in football small-sided games

- Computer Science, Medicine
- Journal of sports sciences
- 2016

The manipulation of numerical imbalance on the timescale of a few tens of seconds, on which the exploratory behaviour of players saturates, may help coaches to optimise the exploratories efficiency of the small-sided games. Expand

Statistical properties for directional alignment and chasing of players in football games

- Mathematics, Physics
- 2016

Focusing on motion of two interacting players in football games, two velocity vectors for the pair of one player and the nearest opponent player exhibit strong alignment. Especially, we find that… Expand

Dynamics of tournaments: the soccer case

- Mathematics, Physics
- 2010

A random walk-like model is considered to discuss statistical aspects of tournaments. The model is applied to soccer leagues with emphasis on the scores. This competitive system was computationally… Expand

Degree Distribution of Position-Dependent Ball-Passing Networks in Football Games

- Mathematics, Physics
- 2015

We propose a simple stochastic model describing the position-dependent ball-passing network in football (soccer) games. In this network, a player in a certain area in a divided field is a node, and a… Expand

Basketball scoring in NBA games: An example of complexity

- Mathematics, Physics
- J. Syst. Sci. Complex.
- 2013

This work analyzed all the games of the 2005-06, 2006-07, 2007-08, 2008-09, 2009-10 NBA regular seasons and studied the evolution of the scoring and the time intervals between points to suggest that there are phase transitions where the dynamic scoring of the games varies significantly. Expand

Kinetic Energy Analysis for Soccer Players and Soccer Matches

- Mathematics
- 2011

A simple and practical semi-empirical formula for the calculation of the Mean Specific Kinetic Energy (MSKE) of a soccer player over a match is developed based on the statistical analysis of the… Expand

Overview of complex systems in sport

- Computer Science, Engineering
- J. Syst. Sci. Complex.
- 2013

The complex systems approach offers an opportunity to replace the extant pre-dominant mechanistic view on sport-related phenomena and the applications of complexity principles, and the use of nonlinear dynamics mathematical tools propose a deep change in sport science. Expand

Mathematical Analysis of a Soccer Game. Part I: Individual and Collective Behaviors

- Computer Science
- 2008

The results would offer the raw materials for various potential indicators which may eventually be used in the coaching process to enhance the performance and in the prediction of the results of soccer matches. Expand

#### References

SHOWING 1-10 OF 28 REFERENCES

A State-Space Model for National Football League Scores

- Computer Science
- 1998

A predictive model for National Football League game scores using data from the period 1988–1993 is developed to obtain plausible inferences concerning team strengths and other model parameters, and to predict future game outcomes. Expand

Regularities in football goal distributions

- Sociology, Physics
- 2000

Besides complexities concerning football championships, some regularities are identified in them. These regularities refer to goal distributions by goal-players and by games. In particular, the goal… Expand

Temporal pattern analysis and its applicability in sport: an explanation and exemplar data

- Computer Science, Medicine
- Journal of sports sciences
- 2002

The results from soccer suggest that it is possible to identify new profiles for both individuals and teams based on the analysis of temporal behavioural patterns detected within the performances. Expand

Complex network study of Brazilian soccer players.

- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2004

This paper studies soccer from a complex network point of view, considering a bipartite network with two kinds of vertices or nodes: the soccer players and the clubs and shows that for this network the degree distribution decays exponentially. Expand

On the emergence of a generalised Gamma distribution. Application to traded volume in financial markets

- Economics
- 2005

This manuscript reports a stochastic dynamical scenario whose associated stationary probability density function is exactly a previously proposed one to adjust high-frequency traded volume… Expand

From time series to superstatistics.

- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2005

This work describes how to proceed from a given experimental time series to a superstatistical description and illustrates the approach by applying it to velocity time series measured in turbulent Taylor-Couette flow, which is well described by log-normal superstatistics and exhibits clear time scale separation. Expand

Possible generalization of Boltzmann-Gibbs statistics

- Mathematics
- 1988

With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the… Expand

A new look at the statistical model identification

- Mathematics
- 1974

The history of the development of statistical hypothesis testing in time series analysis is reviewed briefly and it is pointed out that the hypothesis testing procedure is not adequately defined as… Expand

Ieee Transactions On Automatic Control, Vol. Ac-2'7, No. 3, June 1982

The structure of dynamic programming naturally lends itself well to distributed computation since it involves calculations that to a great extent can be carried out in parallel. In fact it is trivial… Expand

A superstatistical model of metastasis and cancer survival

- Biology, Mathematics
- 2007

A superstatistical model for the progression statistics of malignant cancer cells is introduced as a complex nonequilibrium system with several macroscopic pathways and inverse-chi-square distributed parameters of the underlying Poisson processes. Expand