TY - JOUR
T1 - Spatial and temporal entropies in the Spanish football league
T2 - A network science perspective
AU - Martínez, Johann H.
AU - Garrido, David
AU - Herrera-Diestra, José L.
AU - Busquets Carretero, J.
AU - Sevilla-Escoboza, Ricardo
AU - Buldú, Javier M.
N1 - Funding Information:
Funding: This research was funded, in part, by MINECO (Spanish Ministry of Economy and Competitiveness), grant number FIS2017-84151-P. R.S.-E. acknowledges support from Consejo Nacional de Ciencia y Tecnología call SEP-CONACYT/CB-2016-01, grant number 285909, and Universidad de Guadalajara CGA/CIPV/789/2019, “Programa de Concurrencias Financieras para la Investigación y Atención de la Vinculación 2019”.
Publisher Copyright:
© 2020 by the authors.
PY - 2020/2/1
Y1 - 2020/2/1
N2 - We quantified the spatial and temporal entropy related to football teams and their players by means of a pass-based interaction. First, we calculated the spatial entropy associated to the positions of all passes made by a football team during a match, obtaining a spatial entropy ranking of Spanish teams during the 2017/2018 season. Second, we investigated how the player's average location in the field is related to the amount of entropy of his passes. Next, we constructed the temporal passing networks of each team and computed the deviation of their network parameters along the match. For each network parameter, we obtained the permutation entropy and the statistical complexity of its temporal fluctuations. Finally, we investigated how the permutation entropy (and statistical complexity) of the network parameters was related to the total number of passes made by a football team. Our results show that (i) spatial entropy changes according to the position of players in the field, and (ii) the organization of passing networks change during a match and its evolution can be captured measuring the permutation entropy and statistical complexity of the network parameters, allowing to identify what parameters evolve more randomly.
AB - We quantified the spatial and temporal entropy related to football teams and their players by means of a pass-based interaction. First, we calculated the spatial entropy associated to the positions of all passes made by a football team during a match, obtaining a spatial entropy ranking of Spanish teams during the 2017/2018 season. Second, we investigated how the player's average location in the field is related to the amount of entropy of his passes. Next, we constructed the temporal passing networks of each team and computed the deviation of their network parameters along the match. For each network parameter, we obtained the permutation entropy and the statistical complexity of its temporal fluctuations. Finally, we investigated how the permutation entropy (and statistical complexity) of the network parameters was related to the total number of passes made by a football team. Our results show that (i) spatial entropy changes according to the position of players in the field, and (ii) the organization of passing networks change during a match and its evolution can be captured measuring the permutation entropy and statistical complexity of the network parameters, allowing to identify what parameters evolve more randomly.
KW - Football
KW - Network science
KW - Permutation entropy
KW - Spatial entropy
KW - Statistical complexity
KW - Team performance
UR - https://www.scopus.com/pages/publications/85080936920
UR - http://hdl.handle.net/20.500.14342/5067
U2 - 10.3390/e22020172
DO - 10.3390/e22020172
M3 - Article
AN - SCOPUS:85080936920
SN - 1099-4300
VL - 22
JO - Entropy
JF - Entropy
IS - 2
M1 - 172
ER -