Abstract
The masters movement in swimming and running has exploded, resulting in an abundance of data to study the impact of age on performance. Analyzing data from masters events in running and swimming for athletes aged 35 to 80, we model the percentage increase in event time (or decrease in performance) by age and sex via stacked models that combine polynomial models, neural networks, and natural splines. To answer fundamental questions on the nature of performance decline for competitive athletes, we bootstrap the procedure to obtain confidence intervals. Cross-sectional masters data from the past decade are used to construct models, and the model predictions are compared to the trajectory of current world records by age and to estimates of decline using longitudinal data. Furthermore, the study explores the impact of constituent year, birth cohort, and participation effects, emphasizing the challenges in distinguishing age-related decline from factors like evolving training practices and varied participation rates. Our results give evidence that men generally decline more slowly than women, performance declines more rapidly for endurance events, athletes who participate more frequently decline more slowly than others, and masters level runners decline at rates roughly equivalent to world record holders.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: The authors state no conflict of interest.
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Research funding: None declared.
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Data availability: Sample code and data are available; websites for data scraping were provided.
References
Antink, H., Christoph, A.K.B., and Ganse, B. (2021). Learning from machine learning: prediction of age-related athletic performance decline trajectories. GeroScience 43: 2547–2559, https://doi.org/10.1007/s11357-021-00411-4.Search in Google Scholar PubMed PubMed Central
Baker, A.B., Tang, Y.Q., and Turner, M.J. (2003). Percentage decline in masters superathlete track and field performance with aging. Exp. Aging Res. 29: 47–65, https://doi.org/10.1080/03610730303706.Search in Google Scholar PubMed
Berkeley, U.C., Polley, E.C., and Van Der Laan, M.J. (2010). Super learner in prediction, Available at: http://biostats.bepress.com/ucbbiostat/paper266.Search in Google Scholar
Bernard, T., Sultana, F., Lepers, R., Hausswirth, C., and Brisswalter, J. (2010). Age-related decline in olympic triathlon performance: effect of locomotion mode. Exp. Aging Res. 36: 64–78, https://doi.org/10.1080/03610730903418620.Search in Google Scholar PubMed
Berthelot, G., Len, S., Hellard, P., Tafflet, M., Guillaume, M., Vollmer, J.C., Gager, B., Quinquis, L., Marc, A., and Toussaint, J.F. (2012). Exponential growth combined with exponential decline explains lifetime performance evolution in individual and human species. Age 34: 1001–1009, https://doi.org/10.1007/s11357-011-9274-9.Search in Google Scholar PubMed PubMed Central
Berthelot, G., Johnson, S., Noirez, P., Antero, J., Marck, A., Desgorces, F.D., Pifferi, F., Carter, P.A., Spedding, M., Singh Manoux, A., et al.. (2019). The age-performance relationship in the general population and strategies to delay age related decline in performance. Arch. Public Health 77: 1–9, https://doi.org/10.1186/s13690-019-0375-8.Search in Google Scholar PubMed PubMed Central
Dahl, J., Degens, H., Hildebrand, F., and Ganse, B. (2019). Age-related changes of sprint kinematics. Front. Physiol. 10: 613, https://doi.org/10.3389/fphys.2019.00613.Search in Google Scholar PubMed PubMed Central
Donato, A.J., Tench, K., Glueck, D.H., Seals, D.R., Eskurza, I., and Tanaka, H. (2003). Declines in physiological functional capacity with age: a longitudinal study in peak swimming performance. J. Appl. Physiol. 94: 764–769, https://doi.org/10.1152/japplphysiol.00438.2002.-We.Search in Google Scholar
Efron, B. (2014). Estimation and accuracy after model selection. J. Am. Stat. Assoc. 109: 991–1007, https://doi.org/10.1080/01621459.2013.823775.Search in Google Scholar PubMed PubMed Central
Fair, R.C. (1994). How fast do old men slow down? Rev. Econ. Stat. 76: 103, https://doi.org/10.2307/2109829.Search in Google Scholar
Fair, R.C. (2007). Estimated age effects in athletic events and chess. Exp. Aging Res. 33: 37–57, https://doi.org/10.1080/03610730601006305.Search in Google Scholar PubMed
Friedman, J., Hastie, T., and Tibshirani, R. (2010). Regularization paths for generalized linear models via coordinate descent. J. Stat. Software 33: 1–22, https://doi.org/10.18637/jss.v033.i01.Search in Google Scholar
Fuchs, M. (2021). How Julia Hawkins can run the 100 meters at age 105, The Washington Post.Search in Google Scholar
Ganse, B., Ganse, U., Dahl, J., and Degens, H. (2018a). Linear decrease in athletic performance during the human life span. Front. Physiol. 9: 1100, https://doi.org/10.3389/fphys.2018.01100.Search in Google Scholar PubMed PubMed Central
Ganse, B., Ganse, U., Dahl, J., and Degens, H. (2018b). Linear decrease in athletic performance during the human life span. Front. Physiol. 9: 1100, https://doi.org/10.3389/fphys.2018.01100.Search in Google Scholar
Ganse, B., Kleerekoper, A., Knobe, M., Hildebrand, F., and Degens, H. (2020). Longitudinal trends in master track and field performance throughout the aging process: 83,209 results from Sweden in 16 athletics disciplines. GeroScience 42: 1609–1620, https://doi.org/10.1007/S11357-020-00275-0/FIGURES/2.Search in Google Scholar
Ganse, B., Braczynski, A.K., Antink, C.H., Knobe, M., Pohlemann, T., and Degens, H. (2021). Acceleration of longitudinal track and field performance declines in athletes who still compete at the age of 100 years. Front. Physiol. 12: 730995, https://doi.org/10.3389/fphys.2021.730995.Search in Google Scholar PubMed PubMed Central
Glickman, M.E. and Sonas, J. (2015). Introduction to the NCAA men’s Basketball prediction methods issue. J. Quant. Anal. Sports 11: 1–3, https://doi.org/10.1515/jqas-2015-0013.Search in Google Scholar
Groll, A., Ley, C., Schauberger, G., and Van Eetvelde, H. (2019). A hybrid random forest to predict soccer matches in international tournaments. J. Quant. Anal. Sports 15: 271–287, https://doi.org/10.1515/jqas-2018-0060.Search in Google Scholar
Hunter, S.K. and Stevens, A.A. (2013). Sex differences in marathon running with advanced age: physiology or participation? Med. Sci. Sports Exercise 45: 148–156, https://doi.org/10.1249/mss.0b013e31826900f6.Search in Google Scholar PubMed
Knechtle, B., Nikolaidis, P.T., and Di Gangi, S. (2018). World single age records in running from 5 Km to marathon. Front. Psychol. 9: 2013, https://doi.org/10.3389/fpsyg.2018.02013.Search in Google Scholar PubMed PubMed Central
Kuhn, M. and Wickham, H. (2020). Tidymodels: a Collection of Packages for Modeling and machine learning using tidyverse principles, Vol. 2020. https://www.tidymodels.org.Search in Google Scholar
LeBlanc, M. and Tibshirani, R. (1996). Combining estimates in regression and classification. J. Am. Stat. Assoc. 91: 1641–1650, https://doi.org/10.1080/01621459.1996.10476733.Search in Google Scholar
Marck, A., Antero, J., Berthelot, G., Johnson, S., Sedeaud, A., Leroy, A., Marc, A., Spedding, M., Di Meglio, J.M., and Toussaint, J.F. (2019). Age-related upper limits in physical performances. J. Gerontol., Ser. A 74: 591–599, https://doi.org/10.1093/gerona/gly165.Search in Google Scholar PubMed
Masters World Records. (2022). Available at: https://www.fina.org/masters/records (Accessed 16 June 2022).Search in Google Scholar
Medic, N., Young, B.W., and Grove, J.R. (2013). Perceptions of five-year competitive categories: model of how relative age influences competitiveness in masters sport. J. Sports Sci. Med. 12: 724–729.Search in Google Scholar
Medic, N., Müssener, M., Lobinger, B.H., and Young, B.W. (2019). Year effect in masters sports: an empirical view on the historical development in US masters swimming. J. Sports Sci. Med. 18: 505–512.Search in Google Scholar
Mytton, G.J., Archer, D.T., St Clair Gibson, A., and Thompson, K.G. (2014). Reliability and stability of performances in 400-m swimming and 1500-m running. Int. J. Sports Physiol. Perform. 9: 674–679, https://doi.org/10.1123/ijspp.2013-0240.Search in Google Scholar PubMed
Nguyen, N.H., Nguyen, D.T.A., Ma, B., and Hu, J. (2022). The application of machine learning and deep learning in sport: predicting NBA players’ performance and popularity. J. Inf. Telecommun. 6: 217–235, https://doi.org/10.1080/24751839.2021.1977066.Search in Google Scholar
Rankings, – MastersRankings.Com. (2022). Available at: https://mastersrankings.com/rankings/ (Accessed 20 June 2022).Search in Google Scholar
Ransdell, L.B., Vener, J., and Huberty, J. (2009a). Masters athletes: an analysis of running, swimming and cycling performance by age and gender. J. Exerc. Sci. Fit. 7: S61–S73, https://doi.org/10.1016/S1728-869X(09)60024-1.Search in Google Scholar
Ransdell, L.B., Vener, J., and Huberty, J. (2009b). Masters athletes: an analysis of running, swimming and cycling performance by age and gender. J. Exerc. Sci. Fit. 7: S61–S73, https://doi.org/10.1016/S1728-869X(09)60024-1.Search in Google Scholar
Rubin, R.T. and Rahe, R.H. (2010). Open access journal of sports medicine effects of aging in masters swimmers: 40-year review and suggestions for optimal health benefits. Open Access J. Sports Med. 1–39.10.2147/OAJSM.S9315Search in Google Scholar
Rubin, R., Lin, C., Auerbach, Win, and Win (2013). Declines in swimming performance with age: a longitudinal study of masters swimming champions. Open Access J. Sports Med. 63: 63, https://doi.org/10.2147/oajsm.s37718.Search in Google Scholar PubMed PubMed Central
Schulz, R. and Curnow, C. (1988). Peak performance and age among superathletes: track and field, swimming, baseball, Tennis, and Golf. J. Gerontol. 43: P113–P120, https://doi.org/10.1093/geronj/43.5.p113.Search in Google Scholar PubMed
Tanaka, H. and Seals, D. R. (2003). Invited review: dynamic exercise performance in masters athletes: insight into the effects of primary human aging on physiological functional capacity. J. Appl. Physiol. 95: 2152–2162.10.1152/japplphysiol.00320.2003Search in Google Scholar PubMed
Tanaka, H. and Seals, D.R. (2008a). Endurance exercise performance in masters athletes: age-associated changes and underlying physiological mechanisms. J. Physiol. 586: 55–63, https://doi.org/10.1113/jphysiol.2007.141879.Search in Google Scholar PubMed PubMed Central
Tanaka, H. and Seals, D.R. (2008b). Endurance exercise performance in masters athletes: age-associated changes and underlying physiological mechanisms. J. Physiol. 586: 55–63, https://doi.org/10.1113/jphysiol.2007.141879.Search in Google Scholar PubMed PubMed Central
Thabtah, F., Zhang, L., and Abdelhamid, N. (2019). NBA game result prediction using feature analysis and machine learning. Ann. Data Sci. 6: 103–116, https://doi.org/10.1007/s40745-018-00189-x.Search in Google Scholar
U.S. Masters Swimming. (2022). Available at: https://www.usms.org/ (Accessed 20 June 2022).Search in Google Scholar
Van Eetvelde, H., Mendonça, L.D., Ley, C., Seil, R., and Tischer, T. (2021). Machine learning methods in sport injury prediction and prevention: a systematic review. J. Exp. Orthop. 8: 1–15.10.1186/s40634-021-00346-xSearch in Google Scholar PubMed PubMed Central
Venables, W.N. and Ripley, B.D. (2002). Modern applied Statistics with S. Springer, New York, NY.10.1007/978-0-387-21706-2Search in Google Scholar
World Masters, Athletics. (2022). Available at: https://world-masters-athletics.com/ (Accessed 20 June 2022).Search in Google Scholar
Wright, V.J. and Perricelli, B.C. (2008). Age-related rates of decline in performance among elite senior athletes. Am. J. Sports Med. 36: 443–450, https://doi.org/10.1177/0363546507309673.Search in Google Scholar PubMed
Young, B.W. and Rathwell, S. (2021). Coaching masters athletes: advancing Research and Practice in adult sport. Taylor & Francis Group, Routledge.10.4324/9781003025368-7Search in Google Scholar
Young, B.W. and Starkes, J.L. (2005). Career-span analyses of track performance: longitudinal data present a more optimistic view of age-related performance decline. Exp. Aging Res. 31: 69–90, https://doi.org/10.1080/03610730590882855.Search in Google Scholar PubMed
Young, B.W., Weir, P.L., Starkes, J.L., and Medic, N. (2008a). Does lifelong training temper age-related decline in sport performance? Interpreting differences between cross-sectional and longitudinal data. Exp. Aging Res. 34: 27–48, https://doi.org/10.1080/03610730701761924.Search in Google Scholar PubMed
Young, B.W., Weir, P.L., Starkes, J.L., and Medic, N. (2008b). Does lifelong training temper age-related decline in sport performance? Interpreting differences between cross-sectional and longitudinal data. Exp. Aging Res. 34: 27–48, https://doi.org/10.1080/03610730701761924.Search in Google Scholar
Zavorsky, G.S., Tomko, K.A., and Smoliga, J.M. (2017). Declines in marathon performance: sex differences in elite and recreational athletes. PLoS One 12: e0172121, https://doi.org/10.1371/journal.pone.0172121.Search in Google Scholar PubMed PubMed Central
Supplementary Material
This article contains supplementary material (https://doi.org/10.1515/jqas-2024-0018).
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Articles in the same Issue
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- Research Articles
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Articles in the same Issue
- Frontmatter
- Research Articles
- A hierarchical approach to modeling golf hole scores with Hardy distributions
- Estimating individual contributions to team success in women’s college volleyball
- Age and performance in masters swimming and running
- A family of solutions related to Shin’s model for probability forecasts
- Penalty kicks: an adversarial risk analysis (ARA) perspective