Phase-Specific Joint Mechanical Power Contribution to the Half Squat Exercise: A PBT Framework Analysis
Source abstract
Abstract
This study investigates the joint mechanical power (JMP) distribution in the half squat (HS) exercise through the Power-Based Training (PBT) framework, with the primary aim of providing preliminary methodological validation of this analytical approach and illustrating its capacity to characterize joint contributions across movement phases and load levels. Five professional weightlifters performed HS under five progressive loads (20–80% 1RM), while kinematics and kinetics were recorded with a Vicon motion capture system and force platforms. JMP at the hip, knee, and ankle was analyzed in four distinct movement phases. Results indicated that joint contributions varied with load and phase. Under light loads the knee tended to produce most power. As load increased, contributions shifted proximally: the hip increased both absorption and production, and the ankle’s relative contribution grew in the final lifting phase. The main eccentric (lowering deceleration) and concentric (lifting acceleration) phases concentrated the highest JMP values, though differences between phases diminished at higher loads, suggesting a more homogeneous effort distribution. These findings support the feasibility of the PBT framework for methodological joint-level analysis. Given the pilot scope and purposive elite sample, results are not intended for population inference but inform about methodological applications in training, rehabilitation, and injury-risk assessment.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Sports Performance and Training · Sports injuries and prevention · Knee injuries and reconstruction techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
BioẼrgon Research Group, University of Extremadura, 10003 Cáceres, Spain
Laboratory Biomechanics, Faculty of Sports, Autonomous University of Baja California, Mexicali 21289, BC, Mexico
Health, Economy, Motricity and Education (HEME) Research Group, University of Extremadura, 10003 Cáceres, Spain
References (48)
Show source-provided references
1. The Importance of Muscular Strength in Athletic Performance10.1007/s40279-016-0486-0 ↗
2. Caracterización de fuerza de cadena muscular anterior y posterior en futbolistas colombianos, categorías U17 y U20
3. Distribución del volumen de trabajo de la fuerza muscular en atletas del área de velocidad del atletismo (Original)
4. Relación entre fuerza muscular y otros parámetros de la condición física en escolares de primaria10.6018/280511 ↗
5. Efectos de La Velocidad de Entrenamiento En Fuerza Sobre Diversas Manifestaciones de La Fuerza En Mujeres Adultas Mayores (Effect of the Velocity Resistance Training on Various Manifestations of Resistance in Older Women)
6. Stone, M.H., Hornsby, W.G., Mizuguchi, S., Sato, K., Gahreman, D., Duca, M., Carroll, K.M., Ramsey, M.W., Stone, M.E., and Pierce, K.C. (2024). The Use of Free Weight Squats in Sports: A Narrative Review—Terminology and Biomechanics. Appl. Sci., 14.10.3390/app14051977 ↗
7. Designing Resistance Training Programmes to Enhance Muscular Fitness10.2165/00007256-200535100-00002 ↗
8. A Comparison Between the Squat and the Deadlift for Lower Body Strength and Power Training10.2478/hukin-2019-0139 ↗
9. Deconstructing the Power Resistance Relationship for Squats: A Joint-Level Analysis10.1111/sms.12508 ↗
10. Optimal Loading for Maximal Power Output during Lower-Body Resistance Exercises10.1249/01.mss.0000246993.71599.bf ↗
11. The Load That Maximizes the Average Mechanical Power Output during Jump Squats in Power-Trained Athletes
12. The Optimal Load for Maximal Power Production During Lower-Body Resistance Exercises: A Meta-Analysis10.1007/s40279-015-0341-8 ↗
13. Loturco, I., Nakamura, F.Y., Tricoli, V., Kobal, R., Abad, C.C.C., Kitamura, K., Ugrinowitsch, C., Gil, S., Pereira, L.A., and González-Badillo, J.J. (2015). Determining the Optimum Power Load in Jump Squat Using the Mean Propulsive Velocity. PLoS ONE, 10.10.1371/journal.pone.0140102 ↗
14. Latash, M.L., and Zatsiorsky, V. (2015). Biomechanics and Motor Control: Defining Central Concepts, Academic Press.
15. Winter, D.A. (2009). Biomechanics and Motor Control of Human Movement, John Wiley & Sons.10.1002/9780470549148 ↗
16. Muscle-Specific Contributions to Lower Extremity Net Joint Moments While Squatting With Different External Loads10.1519/JSC.0000000000003874 ↗
17. A Biomechanical Analysis Of Front Versus Back Squat: Injury Implications
18. Armstrong, R., Baltzopoulos, V., Langan-Evans, C., Clark, D., Jarvis, J., Stewart, C., and O’Brien, T. (2022). An Investigation of Movement Dynamics and Muscle Activity during Traditional and Accentuated-Eccentric Squatting. PLoS ONE, 17.10.1371/journal.pone.0276096 ↗
19. Lower-Limb Adaptation during Squatting after Isolated Posterior Cruciate Ligament Injuries10.1016/j.clinbiomech.2010.06.014 ↗
20. Barbell Kinematics Should Not Be Used to Estimate Power Output Applied to the Barbell-and-Body System Center of Mass During Lower-Body Resistance Exercise10.1519/JSC.0b013e31822e7b48 ↗
21. Importance of the Propulsive Phase in Strength Assessment10.1055/s-0029-1242815 ↗
22. Determining the Optimum Bar Velocity in the Barbell Hip Thrust Exercise10.1123/ijspp.2019-0228 ↗
23. Rodal, M., Arrayales-Millán, E.M., Gonzalez-Macías, M.E., Pérez-Gómez, J., and Gianikellis, K. (2025). Half Squat Mechanical Analysis Based on PBT Framework. Bioengineering, 12.10.20944/preprints202504.0820.v1 ↗
24. Zatsiorsky, V.M. (1989). Metrología Deportiva: Libro de Texto, Planeta.
25. Bernshteĭn, N.A. (1967). The Co-Ordination and Regulation of Movements, Pergamon Press.
26. Zatsiorsky, V. (2000). Biomechanics in Sport. Performance Enhancement and Injury Prevention, John Wiley & Sons.10.1002/9780470693797 ↗
27. Haff, G.G., and Triplett, N.T. (2015). Essentials of Strength Training and Conditioning, Human Kinetics. [4th ed.].
28. Correlations between One-Repetition Maximum Weights of Different Back Squat Depths10.3233/IES-220106 ↗
29. Effect of Rest Interval Between Sets in the Muscle Function During a Sequence of Strength Training Exercises for the Upper Body10.1519/JSC.0000000000002941 ↗
30. Recovery between Sets in Strength Training: Systematic Review and Meta-Analysis
31. Harris, J. (2025, May 28). Establishing an Optimal Recovery Time Between Repeated Maximal Stength Sets on the Squat and Bench Press. Available online: https://www.semanticscholar.org/paper/Establishing-an-optimal-recovery-time-between-sets-Harris/5a6bd288edf99464dd917a13d3b2bffe5bc566a8#cited-papers.
32. Load-Velocity Relationship in Variations of the Half-Squat Exercise: Influence of Execution Technique10.1519/JSC.0000000000002072 ↗
33. Velocity Loss as an Indicator of Neuromuscular Fatigue during Resistance Training10.1249/MSS.0b013e318213f880 ↗
34. Perceptual, Mechanical, and Electromyographic Responses to Different Relative Loads in the Parallel Squat10.1519/JSC.0000000000001867 ↗
35. Acute Effects of an Ascending Intensity Squat Protocol on Vertical Jump Performance10.1519/JSC.0000000000000259 ↗
36. Gao, Y., Zhang, J., Zou, C., Bi, L., Huang, C., Nie, J., Yan, Y., Yu, X., Zhang, F., and Yao, F. (2024). A Method for Calculating Vector Forces at Human-Mattress Interface during Sleeping Positions Utilizing Image Registration. Sci. Rep., 14.10.1038/s41598-024-66035-8 ↗
37. Estimation of Joint Torque in Dynamic Activities Using Wearable A-Mode Ultrasound10.1038/s41467-024-50038-0 ↗
38. King, E.L., Patwardhan, S., Bashatah, A., Magee, M., Jones, M.T., Wei, Q., Sikdar, S., and Chitnis, P.V. (2024). Distributed Wearable Ultrasound Sensors Predict Isometric Ground Reaction Force. Sensors, 24.10.20944/preprints202407.0616.v1 ↗
39. An EMG-Driven Musculoskeletal Model to Estimate Muscle Forces and Knee Joint Moments in vivo10.1016/S0021-9290(03)00010-1 ↗
40. Vicon Motion Systems Ltd. (2025, May 28). Vicon Motion Capture System. 2024. Oxford, UK. Available online: https://www.vicon.com.
41. Vicon Motion Systems Ltd. (2025, May 28). Vicon Nexus. 2024. Oxford, UK. Available online: https://www.vicon.com/software/nexus.
42. Vicon Motion Systems Ltd. (2025, May 28). Plug-in Gait Reference Guide Vicon Help. 2023. Oxford, UK. Available online: https://help.vicon.com/space/Nexus216/11611993/PDF+downloads+for+Vicon+Nexus.
43. AMTI Force Platform, Model OR6-6, Advanced Mechanical Technology Inc.
44. Estimate of the Optimum Cutoff Frequency for the Butterworth Low-Pass Digital Filter10.1123/jab.15.3.318 ↗
45. Roithner, R., Schwameder, H., and Müller, E. (2000). Determination of Optimal Filter Parameters for Filtering Kinematic Walking Data Using Butterworth Low-Pass Filter. Proceedings of the 18th International Symposium on Biomechanics in Sports, Hong Kong, China, 25–30 June 2000, International Society of Biomechanics in Sports.
46. AMTI NetForce/BioAnalysis Software (Optima SC), Advanced Mechanical Technology, Inc.
47. Robertson, G., Caldwell, G., Hamill, J., Kamen, G., and Whittlesey, S. (2013). Research Methods in Biomechanics, Human Kinetics. [2nd ed.].10.5040/9781492595809 ↗
48. Hochmuth, G. (1984). Biomechanics of Athletic Movement, Sportverlag.