مجلة المنظومة الرياضية
Volume 13, Numéro 1, Pages 87-106
2026-03-01
D- Prime Energy Expenditure And Recovery Dynamics: Validation Of The Mathematical Skiba Model During Continuous Effort
Authors : Guermat Mohamed Dayaa Eddine . Hadji Abderrahmen . Kabes Ahmed .
Abstract
This study tested how well the Skiba models—linear, hyperbolic, and inverse time continuous—can predict time to exhaustion (TTE) in athletes. Twenty participants (age = 17.4 ± 0.5 years; VO₂max = 50.7–52.9 ml·kg⁻¹·min⁻¹) performed exercise tests, and their predicted TTE values were compared with actual results using Jamovi 2.3.28. On average, all models underestimated performance (predicted ≈ 220 s vs. actual ≈ 284 s). Linear regression analyses showed weak relationships between predicted and actual TTE (R ≈ 0.29, R² ≈ 0.08), a large error (RMSE ≈ 36 s), and no statistical significance (p > 0.05). The hyperbolic and inverse-time models performed slightly better, but not enough to be reliable. These findings imply that while the Skiba framework utilizes valid critical power theory, it does not provide a valid prediction of real athletic performance without further calibration. Future studies will need to modify the model.
Keywords
D- prime Energy ; Recovery Dynamics ; Skiba Model ; Continuous Effort
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