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. 2022 Nov 14;10:e14381. doi: 10.7717/peerj.14381

Table 5. Summary of performance dimensions, measures, measurements and their thresholds/metric formulas in the included articles.

Dimension Measure Measurement Description, thresholds and/or metric formula Reference Further reading
Physical data External load Movement speed TD (m) Higher ratio ( >16 km·h−1), moderate ratio (10.0–15.9 km·h−1), lower ratio: 7.0–9.9 km·h−1) with distance covered at very low intensities (0.0–6.9 km·h−1) (Canton et al., 2021; Coutinho et al. 2019b, 2019a) (Abade et al., 2014; Bradley & Ade, 2018; Hodgson, Akenhead & Thomas, 2014)
Walking (0.0–3.5 km·h−1), jogging (3.6–14.3 km·h−1), running (14.4–19.7 km·h−1), and sprinting (>19.8 km·h−1). (Coutts & Duffield, 2010; Ferraz et al., 2020; Figueira et al., 2018; Folgado et al., 2015; Folgado, Gonçalves & Sampaio, 2018; Gonçalves et al., 2017, 2018a; Ric et al., 2016a, 2017) (Duarte et al., 2013b; Folgado et al., 2014a; Giménez et al., 2018; Gonçalves et al., 2017)
Zone 1 (0–6.9 km·h−1); zone 2 (7–9.9 km·h−1); zone 3 (10–12.9 km·h−1); zone 4 (13–15.9 km·h−1); zone 5 (16–17.9 km·h−1) and zone 6 (≥18 km·h−1). (Sampaio et al., 2014) (Hill-Haas et al., 2008)
High speed (km·h−1) Distance covered in the high ratio/distance covered in walking multiplied by 100. (Coutinho et al., 2019b, 2019a) (Abade et al., 2014; Gonçalves et al., 2018b)
Distance covered at high intensity (≥19.8 km·h−1) and number of sprints (frequency of displacements ≥25.2 km·h-1) (Olthof, Frencken & Lemmink, 2018) (Abt & Lovell, 2009; Goto, Morris & Nevill, 2015)
Distance covered at three speed zones (14.40–19.79 km·h−1, 19.80–22.99 km·h−1, higher than 23.00 km·h−1) and number of sprints (frequency of displacements ≥23.00 km·h−1) (Praça et al., 2021) (Mallo et al., 2015; Praça et al., 2020)
Game pace or average speed (km·h−1 or CV) Players’ average speed displacement, expressed as meters or CV. (Canton et al., 2021; Coutinho et al., 2019b, 2019a) (Ferraz et al., 2017, 2018; Gonçalves et al., 2019)
ACC/DEC (m·s−2) ACC: 0.5–3.0 m·s−2; DEC: > −3.0 0 m·s−2 (Coutinho et al., 2017) (Dalen et al., 2016; Russell et al., 2016)
Body load (ay1ay1)2+ax1ax1)2+(az1az1))2100 (Gonçalves et al., 2017) (Buchheit et al., 2014)
Positional data Spatial and temporal features Spatial movement variability/regularity CV Magnitude of the variability in the distance between players’, expressed by the coefficient of variation CV (%) (Coutinho et al., 2019b; Coutinho et al., 2020; Figueira et al., 2018; Gonçalves et al., 2017) (Frencken et al., 2012; Harbourne & Stergiou, 2009; Seifert, Button & Davids, 2013; Travassos et al., 2014)
ApEn Ranged 0 to 2, in which lower values correspond to more repeatable patterns). The imputed values used to compute were 2 to vector length (m) and 0.2*std to the tolerance (r). (Baptista et al., 2020; Coutinho et al., 2020; Coutinho et al., 2019b; Ferraz et al., 2020; Figueira et al., 2018; Gonçalves et al., 2017; Sampaio et al., 2014) (Duarte et al., 2012b; Gonçalves et al., 2016; Gréhaigne, Bouthier & David, 1997; Pincus, 1991; Preatoni et al., 2010; Richman & Moorman, 2000; Seifert, Button & Davids, 2013; Silva et al., 2016b; Stergiou et al., 2004; Yentes et al., 2013)
Boltzmann–Gibbs–Shannon entropy Probabilities of configurations were calculated as limit (large N) relative frequencies for stationary distributions: pi = ni/N where ni and N is the frequency and number of the configuration respectively. (Ric et al., 2016a) (Balescu, 1975)
MSE
SamEn
SampEn and MSE curves to a range of different timescales, calculating the area under and complexity index. (Canton et al., 2021) (Busa & van Emmerik, 2016; Costa, Goldberger & Peng, 2005)
Complex index SEI Width and length displacements from each positioning time series to the mean position. (Canton et al., 2021; Figueira et al., 2018; Gonçalves et al., 2017; Praça et al., 2021) (Arede et al., 2021; Clemente et al., 2018a, 2018b; Travassos et al., 2014)
Stretch index (meters or ApEn) Men of the distances between each player and the geometric centre of the team. (Coutinho et al., 2019b; Olthof, Frencken & Lemmink, 2018; Praça et al., 2021) (Bourbousson, Sève & McGarry, 2010; Clemente et al., 2013; Clemente et al., 2018b; Duarte et al., 2013b; Lames, Erdmann & Walter, 2010; Travassos et al., 2014)
Dynamic overlap <qd(t)> Average cosine auto-similarity of the overlap between configurations with increasing time lag:
qd(t)=(1qstat)tα+qstat
(Ric et al., 2016a) (Hristovski et al., 2013; Saxton, 1996)
Trapping strength Probability of remaining inside the same attractor that is a conditional probability of a configuration being subsequently repeated (i.e., trapping strength and behavioural flexibility).
Voronoi algoritms Voronoi algorithms allow to compute a diagram represented by spatial cells for individual positional area (m2). (Baptista et al., 2020) (Fonseca et al., 2012)
Coordination/
synchronization
using intra-team dyads
Relative phase
(Hilbert transform)
Longitudinal and lateral directions using near-in-phase synchronization of each dyad that was quantified by the percentage of time spent between −30° to 30° bin. (Coutinho et al., 2020; Coutinho et al., 2019a; Fernandes et al., 2010; Figueira et al., 2018; Folgado et al., 2015, 2019; Gonçalves et al., 2018b, 2017) (Duarte et al., 2012b, 2012c, 2013a; Folgado et al., 2014a, 2014b; Gonçalves et al., 2019; McGarry et al., 2002; Palut & Zanone, 2005; Sampaio & Maçãs, 2012; Silva et al., 2016a; Travassos et al., 2011a; 2013)
Speed synchronisation 0.0–3.5 km·h−1 (low intensity); 3.6–14.3 km·h−1 (moderate intensity); 14.4–19.7 km·h−1 (high intensity); and >19.8 km·h−1 (very high intensity). (Folgado, Gonçalves & Sampaio, 2018; Gonçalves et al., 2018a) (Folgado et al., 2014b)
Distance player–teammate Interpersonal distance between each pair of players, both with teammates and opponents:
D(ax(t),y(t),bx(t),y(t))=(ax(t),y(t))2+(ax(t),y(t))2

where D is the distance, a is the player, x and y are the coordinates, and t is the time, and b is the teammate or opponent.
(Ferraz et al., 2020; Olthof, Frencken & Lemmink, 2018; Ric et al., 2017; Sampaio et al., 2014) (Gonçalves et al., 2014; Low et al., 2019; Silva et al., 2016c)
Coordination/synchronization using inter-team dyads Distance player–opponent
Playing space Distance from the target Distance from the target according to ten categories: >37.45 m; 32.1 ± 37.45 m; 36.75 ± 32.1 m; 21.4 ± 26.75 m; 16.05 ± 21.4 m; 10.7 ± 16.05 m; 5.35 ± 10.7 m; 0 ± 5.35 m. (Ric et al., 2017) (Duarte et al., 2012b)
Total surface area or team effective playing space (m2) Smallest convex hull, that is the smallest polygonal area that it is
delimited by the peripheral players
(Coutinho et al., 2017; Folgado et al., 2019; Olthof, Frencken & Lemmink, 2018) (Duarte et al., 2013b; Folgado et al., 2014b; Mendes, Malacarne & Anteneodo, 2007; Ric et al., 2016b; Russell et al., 2016; Sampaio & Maçãs, 2012)
Ellipses: SEA and PEA areas Spatial analysis for a set of points in a two-dimensional space, which boundaries will enclose about the 100 (1 – α):

x¯=1ni=0nxi,y¯=1ni=1nyi
(Jara et al., 2019) (Batshcelet, 1981; Lefever, 1926; Yuill, 1971)
Team’s width and length Longitudinal position of team geometrical center (x axis) and lateral position of team geometrical center (y axis), expressed as meters, CV and length-per-width (LPW) ratio per team. (Baptista et al., 2020; Canton et al., 2021; Coutinho et al., 2017; Gonçalves et al., 2017; Praça et al., 2021) (Duarte et al., 2013b; Folgado et al., 2014b; Frencken et al., 2011; Mendes, Malacarne & Anteneodo, 2007; Ric et al., 2016a)
Team’s speed contraction dispersion
Team centroid
Other dimensions
(non-positional data)
Technical variables Individual actions Passes, dribbles and shots Successful passes (%), successful dribbles (%), shots on target (%), goals (%) (Coutinho et al., 2020) (Liu et al., 2016; O’Donoghue, 2009; Santos et al., 2018)
Distance covered at different intensities when dribbling; number of completed passes; completed passes distance; shots distance to the goal; distance between attacker and defender when shooting. (Folgado et al., 2019; Olthof, Frencken & Lemmink, 2018) (Rampinini et al., 2009)
Successful pass reception and turnovers, goals scored and relative frequencies of players’ passing interactions. (Ric et al., 2017) (Costa, Goldberger & Peng, 2005)
Transition probabilities were calculated dividing the number of each player’s passes to his teammates, turnovers and goals by the total number of player interactions.
Tactical variables Ball possession Offensive/defensive
Phases
Duration of possession, team width, team length and their ratio
(LPWR), as well as their coefficient of variation
(Canton et al., 2021; Olthof, Frencken & Lemmink, 2018; Ric et al., 2016a) (Collet, 2013; Costa et al., 2011; Gabin et al., 2012)
Network Dyad nodes Relative phase analysis was also divided according to each dyad average speed in three levels: for the whole team; for dyads with similar synchronisation tendencies; and for each dyad. (Folgado et al., 2015; Ric et al., 2017) (McGarry et al., 2002; Travassos et al., 2011a, 2013)
Tactical actions Patterns/categories Tactical actions classified as: penetration, offensive coverage, depth mobility, width and length, offensive unity, delay, defensive coverage, balance, concentration, defensive unity. (Ric et al., 2017) (Costa, Goldberger & Peng, 2005)
Psycho-physiological variables Perceived exertion RPE (a.u.) CR10-scale (0 to 10 arbitrary units). (Coutinho et al., 2017) (Lee, Hicks & Nino-Murcia, 1991)
Exertion index Wisbey’s formula: players’ instantaneous speed (over 10 s and speed over 60 s). (Folgado et al., 2015) (Wisbey et al., 2010)
Heart rate HRmax (bpm) Percentage of HRmax into intensity zones: Zone 1 (<75% HRmax), Zone 2 (75–84.9% HRmax), Zone 3 (85–89.9% HRmax), and Zone 4 (≥90% HRmax). (Folgado, Gonçalves & Sampaio, 2018; Sampaio et al., 2014) (Abt & Lovell, 2009; Gore, 2000)
Average HR (bpm) Average beats per minute (BPM) (Gonçalves et al., 2017) ND
TRIMPMOD Total TRIMPMOD: zone 1 (65–71% HRmax) * 1.25; zone 2 (72–78% HRmax) * 1.71; zone 3 (79–85% HRmax) * 2.54; zone 4 (86–92% HRmax) * 3.61; and zone 5 (93–100% HRmax) * 5.16 (Folgado, Gonçalves & Sampaio, 2018) (Campos-Vazquez et al., 2015; Los Arcos et al., 2014; Stagno, Thatcher & van Someren, 2007)

Note:

Abbreviations: <qd(t)> – Dynamic overlap; ACC/DEC – Accelerations and decelerations; ApEn – Approximate entropy; BPM – Average beats per minute; CR-10 – Borg CR10 scale; CV – Coefficient of variation; D – Distance; HR – Heart Rate; HRmax – maximum Heart Rate; LPWR – Team width, team length and their ratio or LPW – length-per-width ratio per team; MSE – Multiscale Entropy; PEA – Prediction Ellipse; RPE – Ratings of Perceived Exertion; SamEn – Sample Entropy; SEA – Standard Ellipse; SEI – Spatial exploration index; TD – Total distance; TRIMP – Training Impulse; TRIMPMOD – modified Training Impulse.