Dynamical Stability and Predictability of Football Players: The Study of One Match

Detalhes bibliográficos
Autor(a) principal: Couceiro, Micael Santos
Data de Publicação: 2014
Outros Autores: Clemente, Filipe M., Martins, Fernando M. L., Machado, José A. Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/109399
https://doi.org/10.3390/e16020645
Resumo: The game of football demands new computational approaches to measure individual and collective performance. Understanding the phenomena involved in the game may foster the identification of strengths and weaknesses, not only of each player, but also of the whole team. The development of assertive quantitative methodologies constitutes a key element in sports training. In football, the predictability and stability inherent in the motion of a given player may be seen as one of the most important concepts to fully characterise the variability of the whole team. This paper characterises the predictability and stability levels of players during an official football match. A Fractional Calculus (FC) approach to define a player’s trajectory. By applying FC, one can benefit from newly considered modeling perspectives, such as the fractional coefficient, to estimate a player’s predictability and stability. This paper also formulates the concept of attraction domain, related to the tactical region of each player, inspired by stability theory principles. To compare the variability inherent in the player’s process variables (e.g., distance covered) and to assess his predictability and stability, entropy measures are considered. Experimental results suggest that the most predictable player is the goalkeeper while, conversely, the most unpredictable players are the midfielders. We also conclude that, despite his predictability, the goalkeeper is the most unstable player, while lateral defenders are the most stable during the match.
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spelling Dynamical Stability and Predictability of Football Players: The Study of One Matchfractional calculusentropystabilitypredictabilitydynamic systemsfootballperformance analysisvariabilityThe game of football demands new computational approaches to measure individual and collective performance. Understanding the phenomena involved in the game may foster the identification of strengths and weaknesses, not only of each player, but also of the whole team. The development of assertive quantitative methodologies constitutes a key element in sports training. In football, the predictability and stability inherent in the motion of a given player may be seen as one of the most important concepts to fully characterise the variability of the whole team. This paper characterises the predictability and stability levels of players during an official football match. A Fractional Calculus (FC) approach to define a player’s trajectory. By applying FC, one can benefit from newly considered modeling perspectives, such as the fractional coefficient, to estimate a player’s predictability and stability. This paper also formulates the concept of attraction domain, related to the tactical region of each player, inspired by stability theory principles. To compare the variability inherent in the player’s process variables (e.g., distance covered) and to assess his predictability and stability, entropy measures are considered. Experimental results suggest that the most predictable player is the goalkeeper while, conversely, the most unpredictable players are the midfielders. We also conclude that, despite his predictability, the goalkeeper is the most unstable player, while lateral defenders are the most stable during the match.MDPI2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/109399http://hdl.handle.net/10316/109399https://doi.org/10.3390/e16020645eng1099-4300Couceiro, Micael SantosClemente, Filipe M.Martins, Fernando M. L.Machado, José A. Tenreiroinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-10-12T11:20:38Zoai:estudogeral.uc.pt:10316/109399Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:25:36.224261Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Dynamical Stability and Predictability of Football Players: The Study of One Match
title Dynamical Stability and Predictability of Football Players: The Study of One Match
spellingShingle Dynamical Stability and Predictability of Football Players: The Study of One Match
Couceiro, Micael Santos
fractional calculus
entropy
stability
predictability
dynamic systems
football
performance analysis
variability
title_short Dynamical Stability and Predictability of Football Players: The Study of One Match
title_full Dynamical Stability and Predictability of Football Players: The Study of One Match
title_fullStr Dynamical Stability and Predictability of Football Players: The Study of One Match
title_full_unstemmed Dynamical Stability and Predictability of Football Players: The Study of One Match
title_sort Dynamical Stability and Predictability of Football Players: The Study of One Match
author Couceiro, Micael Santos
author_facet Couceiro, Micael Santos
Clemente, Filipe M.
Martins, Fernando M. L.
Machado, José A. Tenreiro
author_role author
author2 Clemente, Filipe M.
Martins, Fernando M. L.
Machado, José A. Tenreiro
author2_role author
author
author
dc.contributor.author.fl_str_mv Couceiro, Micael Santos
Clemente, Filipe M.
Martins, Fernando M. L.
Machado, José A. Tenreiro
dc.subject.por.fl_str_mv fractional calculus
entropy
stability
predictability
dynamic systems
football
performance analysis
variability
topic fractional calculus
entropy
stability
predictability
dynamic systems
football
performance analysis
variability
description The game of football demands new computational approaches to measure individual and collective performance. Understanding the phenomena involved in the game may foster the identification of strengths and weaknesses, not only of each player, but also of the whole team. The development of assertive quantitative methodologies constitutes a key element in sports training. In football, the predictability and stability inherent in the motion of a given player may be seen as one of the most important concepts to fully characterise the variability of the whole team. This paper characterises the predictability and stability levels of players during an official football match. A Fractional Calculus (FC) approach to define a player’s trajectory. By applying FC, one can benefit from newly considered modeling perspectives, such as the fractional coefficient, to estimate a player’s predictability and stability. This paper also formulates the concept of attraction domain, related to the tactical region of each player, inspired by stability theory principles. To compare the variability inherent in the player’s process variables (e.g., distance covered) and to assess his predictability and stability, entropy measures are considered. Experimental results suggest that the most predictable player is the goalkeeper while, conversely, the most unpredictable players are the midfielders. We also conclude that, despite his predictability, the goalkeeper is the most unstable player, while lateral defenders are the most stable during the match.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/109399
http://hdl.handle.net/10316/109399
https://doi.org/10.3390/e16020645
url http://hdl.handle.net/10316/109399
https://doi.org/10.3390/e16020645
dc.language.iso.fl_str_mv eng
language eng
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instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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