Space evaluation in football games via field weighting based on tracking data

Abstract In football game analysis, space evaluation is an important issue because it is directly related to the quality of ball passing or player formations. Previous studies have primarily focused on a field division approach wherein a field is divided into dominant regions in which a certain play...

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Autores principales:	Takuma Narizuka, Yoshihiro Yamazaki, Kenta Takizawa
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/4ca74d330d394c44b289163df84a8803
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spelling	oai:doaj.org-article:4ca74d330d394c44b289163df84a88032021-12-02T13:20:23ZSpace evaluation in football games via field weighting based on tracking data10.1038/s41598-021-84939-72045-2322https://doaj.org/article/4ca74d330d394c44b289163df84a88032021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84939-7https://doaj.org/toc/2045-2322Abstract In football game analysis, space evaluation is an important issue because it is directly related to the quality of ball passing or player formations. Previous studies have primarily focused on a field division approach wherein a field is divided into dominant regions in which a certain player can arrive prior to any other players. However, the field division approach is oversimplified because all locations within a region are regarded as uniform herein. The objective of the current study is to propose a fundamental framework for space evaluation based on field weighting. In particular, we employed the motion model and calculated a minimum arrival time $$ \tau $$ τ for each player to all locations on the football field. Our main contribution is that two variables $$ \tau _{\text{of}} $$ τ of and $$ \tau _{\text{df}} $$ τ df corresponding to the minimum arrival time for offense and defense teams are considered; using $$ \tau _{\text{of}} $$ τ of and $$ \tau _{\text{df}} $$ τ df , new orthogonal variables $$ z_{1} $$ z 1 and $$ z_{2} $$ z 2 are defined. In particular, based on real datasets comprising of data from 45 football games of the J1 League in 2018, we provide a detailed characterization of $$ z_{1} $$ z 1 and $$ z_{2} $$ z 2 in terms of ball passing. By using our method, we found that $$ z_{1}(\vec {x}, t) $$ z 1 ( x → , t ) and $$ z_{2}(\vec {x}, t) $$ z 2 ( x → , t ) represent the degree of safety for a pass made to $$ \vec {x} $$ x → at t and degree of sparsity of $$ \vec {x} $$ x → at t, respectively; the success probability of passes could be well-fitted using a sigmoid function. Moreover, a new type of field division approach and evaluation of ball passing just before shots using real game data are discussed.Takuma NarizukaYoshihiro YamazakiKenta TakizawaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Takuma Narizuka Yoshihiro Yamazaki Kenta Takizawa Space evaluation in football games via field weighting based on tracking data
description	Abstract In football game analysis, space evaluation is an important issue because it is directly related to the quality of ball passing or player formations. Previous studies have primarily focused on a field division approach wherein a field is divided into dominant regions in which a certain player can arrive prior to any other players. However, the field division approach is oversimplified because all locations within a region are regarded as uniform herein. The objective of the current study is to propose a fundamental framework for space evaluation based on field weighting. In particular, we employed the motion model and calculated a minimum arrival time $$ \tau $$ τ for each player to all locations on the football field. Our main contribution is that two variables $$ \tau _{\text{of}} $$ τ of and $$ \tau _{\text{df}} $$ τ df corresponding to the minimum arrival time for offense and defense teams are considered; using $$ \tau _{\text{of}} $$ τ of and $$ \tau _{\text{df}} $$ τ df , new orthogonal variables $$ z_{1} $$ z 1 and $$ z_{2} $$ z 2 are defined. In particular, based on real datasets comprising of data from 45 football games of the J1 League in 2018, we provide a detailed characterization of $$ z_{1} $$ z 1 and $$ z_{2} $$ z 2 in terms of ball passing. By using our method, we found that $$ z_{1}(\vec {x}, t) $$ z 1 ( x → , t ) and $$ z_{2}(\vec {x}, t) $$ z 2 ( x → , t ) represent the degree of safety for a pass made to $$ \vec {x} $$ x → at t and degree of sparsity of $$ \vec {x} $$ x → at t, respectively; the success probability of passes could be well-fitted using a sigmoid function. Moreover, a new type of field division approach and evaluation of ball passing just before shots using real game data are discussed.
format	article
author	Takuma Narizuka Yoshihiro Yamazaki Kenta Takizawa
author_facet	Takuma Narizuka Yoshihiro Yamazaki Kenta Takizawa
author_sort	Takuma Narizuka
title	Space evaluation in football games via field weighting based on tracking data
title_short	Space evaluation in football games via field weighting based on tracking data
title_full	Space evaluation in football games via field weighting based on tracking data
title_fullStr	Space evaluation in football games via field weighting based on tracking data
title_full_unstemmed	Space evaluation in football games via field weighting based on tracking data
title_sort	space evaluation in football games via field weighting based on tracking data
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/4ca74d330d394c44b289163df84a8803
work_keys_str_mv	AT takumanarizuka spaceevaluationinfootballgamesviafieldweightingbasedontrackingdata AT yoshihiroyamazaki spaceevaluationinfootballgamesviafieldweightingbasedontrackingdata AT kentatakizawa spaceevaluationinfootballgamesviafieldweightingbasedontrackingdata
_version_	1718393208828854272

Space evaluation in football games via field weighting based on tracking data

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