Potential estimation model in French alpine skiing - Individual evolution curve and progression typology

Quentin de Larochelambert (1, 2, 3) , Kilian Barlier (3) , Imad Hamri (3) , Audrey Difernand (3) , Adrien Sedeaud (3) , Jean-François Toussaint (3) , Juliana Antero (3) , Pierre-Yves Louis (2, 4, 5) , Nicolas Coulmy (1)

1 FFS - Fédération Française de Ski
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]
3 IRMES - URP_7329 - Institut de recherche biomédicale et d’épidémiologie du sport
4 PAM - Procédés Alimentaires et Microbiologiques [Dijon]
5 PMB - Procédés Microbiologiques et Biotechnologiques

Estimating the potential of alpine skiers is an unresolved question, especially because of the complexity of sports performance. We developed a potential estimation model based solely on the evolution of performance as a function of age. A bayesian mixed model allowed to estimate the potential curve and the age at peak performance for the population (24.81 ± 0.2) and for each individual as the uncertainty around this curve. With Gaussian mixtures, we identified among all the estimates four types of curves, clustered according to the performance level and the progression per age. Relying on the uncertainty calculated on the progression curve the model created also allow to estimate a score and an uncertainty associated with each cluster for all individuals. The results allows to: i) describe and explain the relationship between age and performance in alpine skiing from a species point of view (at 0.87%) and ii) to provide to sport staffs the estimation of the potential of each individual and her/his typology of progression to better detect sports potential. The entire methodology is based on age and performance data, but the progression identified may depend on parameters specific to alpine skiing.

Mots clés: Age; Bayesian; Clustering; Mixed model analysis; Performance; clustering age performance mixed model analysis bayesian; clustering; age; performance; mixed model analysis; bayesian

Domaines: Mathématiques [math]; Sciences du Vivant [q-bio]; Sport

Quentin de Larochelambert, Kilian Barlier, Imad Hamri, Audrey Difernand, Adrien Sedeaud, et al.. Potential estimation model in French alpine skiing - Individual evolution curve and progression typology. Frontiers in Physiology, 2023, 13, pp.1082072. ⟨10.3389/fphys.2022.1082072⟩. ⟨hal-03965690⟩