Exponential growth combined with exponential decline explains lifetime performance evolution in individual and human species

Aguilaniu B, Maitre J, Glénet S, Gegout-Petit A, Guénard H (2008) European reference equations for CO and NO lung transfer. Eur Respir J 31:1091–1097

Alexander RM (2005) Models and the scaling of energy costs for locomotion. J Exp Biol 208:1645–1652

Baker AB, Tang YQ (2010) Aging performance for masters records in athletics, swimming, rowing, cycling triathlon, and weightlifting. Exp Aging Res 36:453–477

Baker AB, Tang YQ, Turner MJ (2003) Percentage decline in masters superathlete track and field performance with aging. Exp Aging Res 29:47–65

Balmer J, Bird S, Davison R (2008) Indoor 16.1-km time-trial performance in 370 cyclists aged 25–63 years. J Sports Sci 26:57–62

Bejan A, Marden JH (2006) Unifying constructal theory for scale effects in running, swimming and flying. J Exp Biol 209:238–248

Bernard T, Sultana F, Lepers R, Hausswirth C, Brisswalter J (2010) Age-related decline in olympic triathlon performance: effect of locomotion mode. Exp Aging Res 36:64–78

Berthelot G, Thibault V, Tafflet M, Escolano S, El Helou N et al (2008) The citius end: world records progression announces the completion of a brief ultra-physiological quest. PLoS ONE 3(2):e1552. doi: 10.1371/journal.pone.0001552

Berthelot G, Tafflet M, El Helou N, Len S, Escolano S et al (2010a) Athlete atypicity on the edge of human achievement: performances stagnate after the last peak, in 1988. PLoS ONE 5(1):e8800. doi: 10.1371/journal.pone.0008800

Berthelot G, Len S, Hellard P, Tafflet M, El Helou N et al (2010b) Technology & swimming: 3 steps beyond physiology. Materials Today 13:56–41

Bongard V, McDermott AY, Dallal GE, Schaefer EJ (2007) Effects of age and gender on physical performance. Age 29:77–85

Boot AM, de Ridder MAJ, van der Sluis IM, van Slobbe I, Krenning EP, de Muinck Keizer-Schrama SMPF (2010) Peak bone mineral density, lean body mass and fractures. Bones 46:336–341

Bradbury JC (2009) Peak athletic performance and ageing: evidence from baseball. J Sports Sci 27:599–610

Bronikowski AM, Morgan TJ, Garland T, Carter PA (2006) The evolution of aging and age-related physical decline in mice selectively bred for high voluntary exercise. Evolution 60:1494–1508

Carlson SM, Hilborn R, Hendry AP, Quinn TP (2007) Predation by bears drives senescence in natural populations of salmon. PLoS ONE 2(12):e1286. doi: 10.1371/journal.pone.0001286

Charness N, Bosman EA (1990) Expertise and aging: life in the lab. In: TH Hess (ed) Aging and cognition: knowledge organization and utilization (pp 358). Elsevier Science Publishers Chessmetrics. http://db.chessmetrics.com . Accessed 02 December 2010

Desgorces FD, Berthelot G, El Helou N, Thibault V, Guillaume M et al (2008) From Oxford to Hawaii ecophysiological barriers limit human progression in ten sport monuments. PLoS ONE 3(11):e3653. doi: 10.1371/journal.pone.0003653

Donato AJ, Tench K, Glueck DH, Seals DR, Eskurza I, Tanaka H (2003) Declines in physiological functional capacity with age: a longitudinal study in peak swimming performance. J Appl Physiol 94:764–769

Dukas R, Visscher PK (1994) Lifetime learning by foraging honey bees. Anim Behav 48:1007–1012

Fair RC (2007) Estimated Age Effects in Athletic Events and Chess. Exp Aging Res 33:37–57

Fogel RW (2004) The escape from hunger and premature death, 1700–2100. Cambridge University Press, Cambridge, New York

Fotenos AF, Mintun MA, Snyder AZ, Morris JC, Buckner RL (2008) Evidence for a relation between socioeconomic status, preclinical Alzheimer disease, and reserve. Arch Neurol 65:113–120

Guillaume M, Len S, Quinquis L, Nassif H, Marc A et al (2010) Age performance relation in Tennis: analysis of top 10 ATP and WTA rankings. Vème Congrès de Physiologie de Pharmacologie et de Thérapeutique (P2T), Bordeaux, 23–25 March, pp 58

Hamilton WD (1966) The moulding of senescence by natural selection. J Theor Biol 12:12–45

Hayflick L (2007) Entropy explains aging, genetic determinism explains longevity, and undefined terminology explains misunderstanding both. PLoS Genet 3(12):e220

Howard RW (2005) Objective evidence of rising population ability: a detailed examination of longitudinal chess data. Pers Individ Differ 38:347–363

Hoye R, Smith A, Nicholson M, Stewart B, Westerbeek H (2009) Sport management: principles and applications, 2nd Edition. Oxford, Elsevier Butterworth-Heinemann

Husak JF (2006) Does survival depend on how fast you can run or how fast you do run. Funct Ecol 20:1080–1086

Irschick DJ, Meyers JJ, Husak JF, Le Galliard JF (2008) How does selection operate on whole-organism functional performance capacities? A review and synthesis. Evol Ecol Res 10:177–196

Kasemsap P, Crozat Y, Satakhun D (1997) Cotton leaf photosynthesis and age relationship is influenced by leaf position. Nat Sci 31:83–92

Kitani K (2007) What really declines with age? The Hayflick Lecture for 2006 35th American aging association. Age (Dordr) 29:1–14

Kühnert B, Nieschlag E (2004) Reproductive functions of the ageing male. Hum Reprod Updat 10:327–339

Mandelbrot BB (1982) The fractal geometry of nature. Freeman, New York

Medawar PB (1952) An unsolved problem of biology. H.K. Lewis, London

Moore DH II (1975) A study of age group track and field records to relate age and running speed. Nature 253:264–265. doi: 10.1038/253264a0

Nevill AM, Whyte GP (2005) Are there limits to running world records? Med Sci Sports Exerc 37:1785–1788

Nevill AM, Whyte GP, Holder RL, Peyrebrune M (2007) Are there limits to swimming world records? Int J Sports Med 28:1012–1017

Njajou OT, Blackburn EH, Pawlikowska L, Mangino M, Damcott CM et al (2010) A common variant in the telomerase RNA component is associated with short telomere length. PLoS One 5(9):e13048

Reznick DN, Bryant MJ, Roff D, Ghalambor CK, Ghalambor DE (2004) Effect of extrinsic mortality on the evolution of senescence in guppies. Nature 431:1095–1099

Rittweger J, Prampero PE, Maffuli N, Narici MV (2009) Sprint and endurance power and ageing: an analysis of master atheltic word records. Proc R Soc B 276:683–689

Roring RW, Charness N (2007) A multilevel model analysis of expertise in chess across the life span. Psychol Aging 22:291–299

Salthouse TA (2009) When does age-related cognitive decline begin? Neurobiol Aging 30:507–514

Schoenberg JB, Beck GJ, Bouhuys A (1978) Growth and decay of pulmonary function in healthy blacks and whites. Respir Physiol 33:367–393

Schulz R, Curnow C (1988) Peak performance and age among superathletes: track and field, swimming, baseball, tennis, and golf. J Gerontol 43:113–120

Stones MJ, Kozma A (1984) Longitudinal trends in track and field performances. Exp Aging Res 10:107–110

Tanaka H, Seals DR (2003) Invited review: dynamic exercise performance in masters athletes: Insight into effects of primary human aging on physiological 435 functional capacity. J Appl Physiol 95:2152–2162

Tanaka H, Seals DR (2008) Endurance exercise performance in masters athletes: age-associated changes and underlying physiological mechanisms. J Physiol 586:55–63

van Disseldorp JV, Faddy MJ, Themmen APN, de Jong FH, Peeters PHM, van der Schouw YT, Broekmans FJM (2008) Relationship of serum antimüllerian hormone concentration to age at menopause. J Clin Endocrinol Metab 93:2129–2134

Williams GC (1957) Pleiotropy, natural selection and the evolution of senescence. Evolution 11:398–411

Wright VJ, Perricelli BC (2008) Age-related rates of decline in performance among elite senior athletes. Am J Sports Med 36:443–450

Wullschleger SD, Oosterhuis DM (1990) Photosynthesis of individual field-grown cotton leaves during ontogeny. Photosyn Res 23:163–170

Young BW, Medic N, Weir PL, Starkes JL (2008a) Explaining performance in elite middle-aged runners: contributions from age, ongoing and past training factors. J Sport Exerc Psychol 30:737–754

Young BW, Weir PL, Starkes JL, 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

Young RD, Epstein L, Coles L (2009) Living and all-time world record holders over the age of 110. Rejuvenation Res 12:231–232. doi: 10.1089/rej.2009.0882