Associations Between Centre of Pressure Variables and Performance Penalties in Acrobatic Gymnastics—Feasibility Study
Abstract
1. Introduction
2. Materials and Methods
2.1. Participants
2.2. Protocol
2.3. Judges’ Evaluation
2.4. COP Variables Data Processing
2.5. Statistical Analysis
3. Results
3.1. Descriptive Data
3.2. Correlations Between COP Variables and Judges’ Penalties
3.3. Comparison Between Phases Regarding COP Variables
3.4. Comparison Between Phases Regarding Judges’ Penalties
3.5. Comparison Between Right and Left Foot Across the Three Phases
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
Appendix A.1
| COP Data | Phase | Both Feet | Right Foot | Left Foot | |||
|---|---|---|---|---|---|---|---|
| Postural Instability Penalties | Body Segment Position Penalties | Postural Instability Penalties | Body Segment Position Penalties | Postural Instability Penalties | Body Segment Position Penalties | ||
| ML Amplitude (mm) | 1 | 0.10 | −0.06 | −0.02 | −0.27 | 0.07 | −0.26 |
| 2 | 0.14 | −0.07 | 0.50 * | 0.05 | 0.25 | 0.15 | |
| 3 | 0.13 | 0.23 | 0.46 | 0.08 | 0.34 | 0.19 | |
| AP Amplitude (mm) | 1 | −0.07 | −0.16 | −0.16 | −0.21 | −0.03 | −0.06 |
| 2 | 0.42 | −0.24 | 0.33 | −0.41 | 0.44 | −0.10 | |
| 3 | 0.25 | −0.08 | 0.18 | −0.17 | 0.25 | 0.14 | |
| ML Peak velocity (mm/s) | 1 | 0.29 | −0.46 | 0.17 | −0.49 * | −0.05 | −0.31 |
| 2 | 0.44 | 0.30 | 0.39 | 0.06 | 0.29 | 0.26 | |
| 3 | −0.01 | 0.34 | 0.45 | 0.12 | 0.32 | 0.21 | |
| AP Peak velocity (mm/s) | 1 | 0.22 | −0.16 | 0.34 | −0.40 | 0.27 | −0.32 |
| 2 | 0.42 | −0.24 | 0.12 | −0.32 | 0.51 * | 0.15 | |
| 3 | 0.45 | 0.09 | 0.37 | −0.11 | 0.46 | 0.22 | |
| Ellipse length (mm) | 1 | −0.02 | −0.09 | −0.17 | −0.24 | 0.02 | −0.23 |
| 2 | 0.17 | 0.22 | 0.41 | −0.34 | 0.47 | −0.01 | |
| 3 | 0.31 | 0.20 | 0.23 | −0.17 | 0.17 | 0.12 | |
| Ellipse width (mm) | 1 | −0.26 | −0.20 | −0.15 | −0.43 | −0.44 | −0.09 |
| 2 | 0.41 | 0.35 | 0.40 | −0.22 | 0.13 | −0.03 | |
| 3 | 0.47 * | 0.58 ** | 0.00 | −0.03 | −0.01 | −0.00 | |
| Ellipse area (mm2) | 1 | −0.12 | −0.17 | −0.18 | −0.44 | −0.51 * | −0.17 |
| 2 | 0.38 | 0.44 | 0.42 | −0.33 | 0.35 | −0.04 | |
| 3 | 0.25 | 0.46 | −0.04 | −0.03 | 0.01 | 0.05 | |
Appendix A.2
| COP Data | Phase | Both Feet | Right Foot | Left Foot |
|---|---|---|---|---|
| F (2;54) | F (2;54) | F (2;54) | ||
| ML Amplitude (mm) | 1 | 29.06 *** | 7.99 ** | 2.95 |
| 2 | ||||
| 3 | ||||
| AP Amplitude (mm) | 1 | 27.45 *** | 24.05 *** | 36.61 *** |
| 2 | ||||
| 3 | ||||
| ML Peak velocity (mm/s) | 1 | 1.57 | 2.44 | 3.08 |
| 2 | ||||
| 3 | ||||
| AP Peak velocity (mm/s) | 1 | 3.45 * | 0.57 | 1.61 |
| 2 | ||||
| 3 | ||||
| Ellipse length (mm) | 1 | 26.68 *** | 26.33 *** | 19.42 *** |
| 2 | ||||
| 3 | ||||
| Ellipse width (mm) | 1 | 25.61 *** | 0.33 | 2.79 |
| 2 | ||||
| 3 | ||||
| Ellipse area (mm2) | 1 | 21.55 *** | 1.10 | 0.42 |
| 2 | ||||
| 3 |
Appendix A.3
| Both Feet | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| COP Data | Phases | M Diff | SE | t | |||||
| ML Amplitude (mm) | 1 vs. 2 | −21.63 | 2.25 | −9.64 *** | |||||
| 1 vs. 3 | −21.92 | 3.64 | −6.02 *** | ||||||
| 2 vs. 3 | −0.282 | 3.79 | −0.08 | ||||||
| AP Amplitude (mm) | 1 vs. 2 | −40.94 | 5.60 | −7.31 *** | |||||
| 1 vs. 3 | −41.98 | 7.26 | −5.79 *** | ||||||
| 2 vs. 3 | −1.04 | 6.42 | −0.16 | ||||||
| AP Peak velocity (mm/s) | 1 vs. 2 | −80.52 | 30.17 | −2.67 * | |||||
| 1 vs. 3 | −77.55 | 43.68 | −1.78 | ||||||
| 2 vs. 3 | 2.97 | 28.42 | 0.10 | ||||||
| Ellipse length (mm) | 1 vs. 2 | −21.18 | 3.38 | −6.27 *** | |||||
| 1 vs. 3 | −21.58 | 3.38 | −6.38 *** | ||||||
| 2 vs. 3 | −0.40 | 3.38 | −0.12 | ||||||
| Ellipse width (mm) | 1 vs. 2 | −41.91 | 6.79 | −6.17 *** | |||||
| 1 vs. 3 | −42.23 | 6.79 | −6.22 *** | ||||||
| 2 vs. 3 | −0.33 | 6.79 | −0.05 | ||||||
| Ellipse area (mm2) | 1 vs. 2 | −488.60 | 84.35 | −5.79 *** | |||||
| 1 vs. 3 | −469.91 | 84.35 | −5.57 *** | ||||||
| 2 vs. 3 | 18.69 | 84.35 | 0.22 | ||||||
| COP data | Phases | Right foot | Left foot | ||||||
| M diff | SE | t | M diff | SE | t | ||||
| ML Amplitude (mm) | 1 vs. 2 | −9.73 | 2.84 | −3.43 * | |||||
| 1 vs. 3 | −9.96 | 3.40 | −2.93 * | ||||||
| 2 vs. 3 | −0.23 | 2.15 | −0.11 | ||||||
| AP Amplitude (mm) | 1 vs. 2 | −37.86 | 5.30 | −7.14 *** | −46.21 | 5.86 | −7.89 *** | ||
| 1 vs. 3 | −40.52 | 7.50 | −5.40 *** | −46.40 | 7.05 | −6.58 *** | |||
| 2 vs. 3 | −2.66 | 6.62 | −0.40 | −0.20 | 6.89 | −0.03 * | |||
| Ellipse length (mm) | 1 vs. 2 | −25.24 | 5.50 | −4.59 *** | −26.66 | 4.44 | −6.01 *** | ||
| 1 vs. 3 | −32.34 | 5.45 | −5.93 *** | −28.98 | 5.41 | −5.35 *** | |||
| 2 vs. 3 | −7.10 | 2.42 | −2.94 * | −2.32 | 5.58 | −0.42 | |||
Appendix A.4
| COP Data | Phase | t (17) | p | d |
|---|---|---|---|---|
| ML Amplitude (mm) | 1 | −0.35 | 0.73 | −0.08 |
| 2 | 2.24 * | 0.04 | 0.53 | |
| 3 | 1.97 | 0.07 | 0.46 | |
| AP Amplitude (mm) | 1 | −2.39 * | 0.03 | −0.56 |
| 2 | −3.86 *** | 0.00 | −0.91 | |
| 3 | −3.04 ** | 0.01 | −0.72 | |
| ML Peak velocity (mm/s) | 1 | −0.35 | 0.73 | −0.08 |
| 2 | 1.71 | 0.11 | 0.40 | |
| 3 | 1.23 | 0.24 | 0.29 | |
| AP Peak velocity (mm/s) | 1 | −0.82 | 0.43 | −0.19 |
| 2 | −1.90 | 0.07 | −0.45 | |
| 3 | −2.71 * | 0.02 | −0.64 | |
| Ellipse length (mm) | 1 | −2.26 * | 0.04 | −0.53 |
| 2 | −2.34 * | 0.03 | −0.55 | |
| 3 | −2.94 ** | 0.01 | −0.69 | |
| Ellipse width (mm) | 1 | −1.33 | 0.20 | −0.31 |
| 2 | −1.89 | 0.08 | −0.45 | |
| 3 | −1.34 | 0.20 | −0.32 | |
| Ellipse area (mm2) | 1 | −1.24 | 0.23 | −0.29 |
| 2 | −2.21 * | 0.04 | −0.52 | |
| 3 | −1.42 | 0.18 | −0.33 |
References
- Fédération Internationale de Gymnastique. Code of Points—Acrobatic Gymnastics 2025–2028. 2025. Available online: https://www.gymnastics.sport/publicdir/rules/files/en_1.1%20-%20ACRO%20Code%20of%20Points%202025-2028.pdf (accessed on 9 March 2026).
- Aleixo, P.; Atalaia, T.; Abrantes, J. Dynamic joint stiffness: A critical review. In Advances in Medicine and Biology 175; Berhardt, L., Ed.; Nova Science Publishers: Hauppauge, NY, USA, 2021; pp. 1–96. [Google Scholar]
- Ivanenko, Y.; Gurfinkel, V.S. Human postural control. In Frontiers in Neuroscience; Issue MAR; Frontiers Media S.A.: Lausanne, Switzerland, 2018; Volume 12. [Google Scholar] [CrossRef] [Scilit]
- Winter, D.; Patla, A.; Frank, J. Assessment of balance control in humans. Med. Prog. Through Technol. 1990, 16, 31–51. [Google Scholar]
- Cabrejas, C.; Morales, J.; Solana-Tramunt, M.; Nieto-Guisado, A.; Badiola-Zabala, A.; Campos-Rius, J. Does 8 Weeks of Integrated Functional Core and Plyometric Training Improve Postural Control Performance in Young Rhythmic Gymnasts? Mot. Control 2022, 26, 568–590. [Google Scholar] [CrossRef] [Scilit]
- Floría, P.; Gómez-Landero, L.A.; Harrison, A.J. Centre of pressure correlates with pyramid performance in acrobatic gymnastics. Sports Biomech. 2015, 14, 424–434. [Google Scholar] [CrossRef] [Scilit]
- Leal del Ojo, P.; Floría, P.; Harrison, A.J.; Gómez-Landero, L.A. Effects of task difficulty on centre of pressure excursion and its inter-trial variability in acrobatic gymnastics pyramid performance. Sports Biomech. 2023, 22, 890–905. [Google Scholar] [CrossRef] [Scilit]
- Leal Del Ojo, P.; Floría, P.; Walker, C.; Gómez-Landero, L.A. Is acrobatic pyramid performance determined by the individual balance of the gymnasts? Sports Biomech. 2023, 22, 235–245. [Google Scholar] [CrossRef] [Scilit]
- Niazi, E.S.; Samigullin, B.R.; Baltin, M.E.; Fedianin, A.O.; Baltina, T.V.; Botova, L.N.; Zverev, A.A. Postural Stability in Female Rhythmic and Artistic Gymnastics Athletes: The Role of Visual and Somatosensory Signals. J. Evol. Biochem. Physiol. 2025, 61, 122–134. [Google Scholar] [CrossRef] [Scilit]
- Ko, J.H.; Han, D.W.; Newell, K.M. Skill level changes the coordination and variability of standing posture and movement in a pistol-aiming task. J. Sports Sci. 2018, 36, 809–816. [Google Scholar] [CrossRef] [Scilit]
- Santos, J.; Barreto, J.; Atalaia, T.; Aleixo, P. Relationship Between Shooting Performance and Biomechanical Parameters Associated with Body Stability in Archery: A Systematic Review. Biomechanics 2025, 5, 48. [Google Scholar] [CrossRef] [Scilit]
- Spratford, W.; Campbell, R. Postural stability, clicker reaction time and bow draw force predict performance in elite recurve archery. Eur. J. Sport Sci. 2017, 17, 539–545. [Google Scholar] [CrossRef] [Scilit]
- Fédération Internationale de Gymnastique. Code of Points—Acrobatic Gymnastics: Tables of Difficulty 2025–2028. 2025. Available online: https://www.gymnastics.sport/publicdir/rules/files/en_2025-2028%20ACRO%20Table%20of%20Difficulty.pdf (accessed on 9 March 2026).
- Quijoux, F.; Nicolaï, A.; Chairi, I.; Bargiotas, I.; Ricard, D.; Yelnik, A.; Oudre, L.; Bertin-Hugault, F.; Vidal, P.P.; Vayatis, N.; et al. A review of center of pressure (COP) variables to quantify standing balance in elderly people: Algorithms and open-access code. In Physiological Reports; Issue 22; American Physiological Society: Rockville, MD, USA, 2021; Volume 9. [Google Scholar] [CrossRef] [Scilit]
- Schubert, P.; Kirchner, M. Ellipse area calculations and their applicability in posturography. Gait Posture 2014, 39, 518–522. [Google Scholar] [CrossRef] [Scilit]
- Agostini, V.; Chiaramello, E.; Canavese, L.; Bredariol, C.; Knaflitz, M. Postural sway in volleyball players. Hum. Mov. Sci. 2013, 32, 445–456. [Google Scholar] [CrossRef] [Scilit]
- Schober, P.; Schwarte, L.A. Correlation coefficients: Appropriate use and interpretation. Anesth. Analg. 2018, 126, 1763–1768. [Google Scholar] [CrossRef] [Scilit] [PubMed]
- Cohen, J. Statistical Power Analysis for the Behavioral Sciences, 2nd ed.; Lawrence Erlbaum Associates: New York, NY, USA, 1988. [Google Scholar]
- Koo, T.K.; Li, M.Y. A guideline of selecting and reporting intraclass correlation coefficients for reliability research. J. Chiropr. Med. 2016, 15, 155–163. [Google Scholar] [CrossRef] [Scilit] [PubMed]
- Massion, J. Movement, posture and equilibrium: Interaction and coordination. Prog. Neurobiol. 1992, 38, 35–56. [Google Scholar] [CrossRef] [Scilit]
- Bouisset, S.; Do, M.C. Posture, dynamic stability, and voluntary movement. Neurophysiol. Clin. 2008, 38, 345–362. [Google Scholar] [CrossRef] [Scilit]
- Aruin, A.S.; Latash, M.L. Directional specificity of anticipatory postural adjustments in feeding-forward postural control. Exp. Brain Res. 1995, 103, 323–332. [Google Scholar]


| COP Data | Phase | Mean ± Standard Deviation | ||
|---|---|---|---|---|
| Both Feet | Right Foot | Left Foot | ||
| ML Amplitude (mm) | 1 | 14.92 ± 8.68 | 9.46 ± 7.10 | 10.27 ± 8.67 |
| 2 | 36.55 ± 10.73 | 19.19 ± 13.06 | 15.71 ± 9.38 | |
| 3 | 36.83 ± 11.87 | 19.41 ± 14.82 | 16.13 ± 10.87 | |
| AP Amplitude (mm) | 1 | 19.68 ± 9.66 | 18.58 ± 8.35 | 22.83 ± 12.42 |
| 2 | 60.62 ± 21.68 | 56.44 ± 21.57 | 69.03 ± 20.53 | |
| 3 | 61.66 ± 28.39 | 59.10 ± 29.33 | 69.23 ± 28.02 | |
| ML Peak velocity (mm/s) | 1 | 124.13 ± 104.7 | 137.30 ± 125.30 | 147.22 ± 155.50 |
| 2 | 166.80 ± 79.20 | 96.56 ± 67.25 | 80.58 ± 45.37 | |
| 3 | 158.50 ± 59.14 | 94.36 ± 75.06 | 85.49 ± 57.26 | |
| AP Peak velocity (mm/s) | 1 | 141.41 ± 137.20 | 225.05 ± 174.03 | 250.45 ± 170.10 |
| 2 | 221.90 ± 75.71 | 266.30 ± 89.64 | 318.90 ± 94.32 | |
| 3 | 219.00 ± 118.40 | 258.70 ± 105.50 | 312.50 ± 138.00 | |
| Ellipse length (mm) | 1 | 14.90 ± 8.77 | 15.40 ± 7.28 | 18.77 ± 10.37 |
| 2 | 36.96 ± 10.63 | 38.96 ± 16.74 | 45.43 ± 14.96 | |
| 3 | 36.47 ± 11.65 | 40.64 ± 19.72 | 47.74 ± 19.98 | |
| Ellipse width (mm) | 1 | 18.84 ± 10.08 | 2.34 ± 4.04 | 3.82 ± 3.67 |
| 2 | 67.40 ± 21.07 | 1.67 ± 0.83 | 2.10 ± 0.83 | |
| 3 | 61.07 ± 27.71 | 1.85 ± 1.42 | 2.24 ± 1.26 | |
| Ellipse area (mm2) | 1 | 119.41 ± 110.74 | 38.42 ± 76.56 | 70.66 ± 100.12 |
| 2 | 606.75 ± 281.83 | 55.98 ± 38.53 | 78.07 ± 44.36 | |
| 3 | 592.91 ± 354.54 | 73.80 ± 86.86 | 95.95 ± 82.94 | |
| Judges’ penalties | Phase | Mean ± standard deviation | ||
| Postural instability (points) | 1 | 0.01 ± 0.02 | ||
| 2 | 0.06 ± 0.03 | |||
| 3 | 0.15 ± 0.05 | |||
| Body segment position (points) | 1 | 0.12 ± 0.14 | ||
| 2 | 0.09 ± 0.05 | |||
| 3 | 0.14 ± 0.07 | |||
| COP Data | Phase | Both Feet | Right Foot | Left Foot |
|---|---|---|---|---|
| F (2;54) | F (2;54) | F (2;54) | ||
| ML Amplitude (mm) | 1 | 29.06 *** | 7.99 ** | 2.95 |
| 2 | ||||
| 3 | ||||
| AP Amplitude (mm) | 1 | 27.45 *** | 24.05 *** | 36.61 *** |
| 2 | ||||
| 3 | ||||
| AP Peak velocity (mm/s) | 1 | 3.45 * | 0.57 | 1.61 |
| 2 | ||||
| 3 | ||||
| Ellipse length (mm) | 1 | 26.68 *** | 26.33 *** | 19.42 *** |
| 2 | ||||
| 3 | ||||
| Ellipse width (mm) | 1 | 25.61 *** | 0.327 | 2.79 |
| 2 | ||||
| 3 | ||||
| Ellipse area (mm2) | 1 | 21.55 *** | 1.10 | 0.42 |
| 2 | ||||
| 3 |
| COP Data | Condition | Phases | M Diff | SE | t |
|---|---|---|---|---|---|
| ML Amplitude (mm) | Both feet | 1 vs. 2 | −21.63 | 2.25 | −9.64 *** |
| 1 vs. 3 | −21.92 | 3.64 | −6.02 *** | ||
| Right foot | 1 vs. 2 | −9.73 | 2.84 | −3.43 * | |
| 1 vs. 3 | −9.96 | 3.40 | −2.93 * | ||
| AP Amplitude (mm) | Both feet | 1 vs. 2 | −40.94 | 5.60 | −7.31 *** |
| 1 vs. 3 | −41.98 | 7.26 | −5.79 *** | ||
| Right foot | 1 vs. 2 | −37.86 | 5.30 | −7.14 *** | |
| 1 vs. 3 | −40.52 | 7.50 | −5.40 *** | ||
| Left foot | 1 vs. 2 | −46.21 | 5.86 | −7.89 *** | |
| 1 vs. 3 | −46.40 | 7.05 | −6.58 *** | ||
| AP Peak velocity (mm/s) | Both feet | 1 vs. 2 | −80.52 | 30.17 | −2.67 * |
| Ellipse length (mm) | Both feet | 1 vs. 2 | −21.18 | 3.38 | −6.27 *** |
| 1 vs. 3 | −21.58 | 3.38 | −6.38 *** | ||
| Right foot | 1 vs. 2 | −25.24 | 5.50 | −4.59 *** | |
| 1 vs. 3 | −32.34 | 5.45 | −5.93 *** | ||
| 2 vs. 3 | −7.10 | 2.42 | −2.94 * | ||
| Left foot | 1 vs. 2 | −26.66 | 4.44 | −6.01 *** | |
| 1 vs. 3 | −28.98 | 5.41 | −5.35 *** | ||
| Ellipse width (mm) | Both feet | 1 vs. 2 | −41.91 | 6.79 | −6.17 *** |
| 1 vs. 3 | −42.23 | 6.79 | −6.22 *** | ||
| Ellipse area (mm2) | Both feet | 1 vs. 2 | −488.60 | 84.35 | −5.79 *** |
| 1 vs. 3 | −469.91 | 84.35 | −5.57 *** |
| COP Data | Phase | t (17) | p | d |
|---|---|---|---|---|
| ML Amplitude (mm) | 2 | 2.24 * | 0.04 | 0.53 |
| AP Amplitude (mm) | 1 | −2.39 * | 0.03 | −0.56 |
| 2 | −3.86 *** | 0.00 | −0.91 | |
| 3 | −3.04 ** | 0.01 | −0.72 | |
| AP Peak velocity (mm/s) | 3 | −2.71 * | 0.02 | −0.64 |
| Ellipse length (mm) | 1 | −2.26 * | 0.04 | −0.53 |
| 2 | −2.34 * | 0.03 | −0.55 | |
| 3 | −2.94 ** | 0.01 | −0.69 | |
| Ellipse area (mm2) | 2 | −2.21 * | 0.04 | −0.52 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Barreto, J.; Ramalho, B.; Abrantes, J.; Fonseca, S.; Aleixo, P. Associations Between Centre of Pressure Variables and Performance Penalties in Acrobatic Gymnastics—Feasibility Study. J. Funct. Morphol. Kinesiol. 2026, 11, 341. https://doi.org/10.3390/jfmk11030341
Barreto J, Ramalho B, Abrantes J, Fonseca S, Aleixo P. Associations Between Centre of Pressure Variables and Performance Penalties in Acrobatic Gymnastics—Feasibility Study. Journal of Functional Morphology and Kinesiology. 2026; 11(3):341. https://doi.org/10.3390/jfmk11030341
Chicago/Turabian StyleBarreto, Joana, Bruno Ramalho, João Abrantes, Sofia Fonseca, and Pedro Aleixo. 2026. "Associations Between Centre of Pressure Variables and Performance Penalties in Acrobatic Gymnastics—Feasibility Study" Journal of Functional Morphology and Kinesiology 11, no. 3: 341. https://doi.org/10.3390/jfmk11030341
APA StyleBarreto, J., Ramalho, B., Abrantes, J., Fonseca, S., & Aleixo, P. (2026). Associations Between Centre of Pressure Variables and Performance Penalties in Acrobatic Gymnastics—Feasibility Study. Journal of Functional Morphology and Kinesiology, 11(3), 341. https://doi.org/10.3390/jfmk11030341

