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Original Article

A new family of mathematical models describing the human growth curve

&
Pages 1-24 | Received 01 Sep 1977, Published online: 09 Jul 2009

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (88)

Ahlan B. Lima, Ricardo T. Quinaud, Carlos E. Gonçalves & Humberto M. Carvalho. (2023) Peak height velocity in young athletes: A longitudinal meta-analysis. Journal of Sports Sciences 41:2, pages 151-163.
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T. J. Cole, M. del Pino, P. Adamo & V. Fano. (2021) Pubertal growth in height, sitting height and leg length in achondroplasia. Annals of Human Biology 48:1, pages 8-14.
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Melanie E. Boeyer, Kevin M. Middleton, Dana L. Duren & Emily V. Leary. (2020) Estimating peak height velocity in individuals: a comparison of statistical methods. Annals of Human Biology 47:5, pages 434-445.
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Jan Willem (AJW) Teunissen, Nikki Rommers, Johan Pion, Sean P. Cumming, Roland Rössler, Eva D’Hondt, Matthieu Lenoir, Geert J.P. Savelsbergh & Robert M. Malina. (2020) Accuracy of maturity prediction equations in individual elite male football players. Annals of Human Biology 47:4, pages 409-416.
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Tim James Cole. (2018) Optimal design for longitudinal studies to estimate pubertal height growth in individuals. Annals of Human Biology 45:4, pages 314-320.
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Andrew J. Simpkin, Adrian Sayers, Mark S. Gilthorpe, Jon Heron & Kate Tilling. (2017) Modelling height in adolescence: a comparison of methods for estimating the age at peak height velocity. Annals of Human Biology 44:8, pages 715-722.
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Robert M. Malina & Sławomir M. Kozieł. (2014) Validation of maturity offset in a longitudinal sample of Polish girls. Journal of Sports Sciences 32:14, pages 1374-1382.
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Robert M. Malina & Sławomir M. Kozieł. (2014) Validation of maturity offset in a longitudinal sample of Polish boys. Journal of Sports Sciences 32:5, pages 424-437.
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C. Van Oort, S. A. Jackowski, J. C. Eisenmann, L. B. Sherar, D. A. Bailey, R. Mirwald & A. D. G. Baxter-Jones. (2013) Tracking of aerobic fitness from adolescence to mid-adulthood. Annals of Human Biology 40:6, pages 547-553.
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KevinJ. Grimm, JoelS. Steele, Nilam Ram & JohnR. Nesselroade. (2013) Exploratory Latent Growth Models in the Structural Equation Modeling Framework. Structural Equation Modeling: A Multidisciplinary Journal 20:4, pages 568-591.
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Luciano Molinari, Theo Gasser & Remo Largo. (2013) A comparison of skeletal maturity and growth. Annals of Human Biology 40:4, pages 333-340.
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Izumi Hagino, Koji Hayashi, Kyohei Kawamura, Hiroaki Sato & Taro Yamauchi. (2013) Adolescent growth spurt and growth pattern factors related to the short stature of Pygmy hunter-gatherers of Southeast Cameroon. Annals of Human Biology 40:1, pages 9-14.
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Kevin Grimm, Zhiyong Zhang, Fumiaki Hamagami & Michèle Mazzocco. (2013) Modeling Nonlinear Change via Latent Change and Latent Acceleration Frameworks: Examining Velocity and Acceleration of Growth Trajectories. Multivariate Behavioral Research 48:1, pages 117-143.
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Eric Benefice, Selma J. Luna Monrroy, Ronald W. Lopez Rodriguez & Gnagna Ndiaye. (2011) Fat and muscle mass in different groups of pre-pubertal and pubertal rural children. Cross-cultural comparisons between Sahelian (rural Senegal) and Amazonian (Beni River, Bolivia) children. Annals of Human Biology 38:4, pages 500-507.
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M. J. Ireton, J. C. Carrillo & L. E. Caro. (2011) Biometry and sexual maturity in a sample of Colombian schoolchildren from El Yopal. Annals of Human Biology 38:1, pages 39-52.
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Michelle Lampl. (2009) Human growth from the cell to the organism: Saltations and integrative physiology. Annals of Human Biology 36:5, pages 478-495.
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Tsan-Hon Liou, Yi-Ching Huang & Pesus Chou. (2009) Prevalence and secular trends in overweight and obese Taiwanese children and adolescents in 1991–2003. Annals of Human Biology 36:2, pages 176-185.
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Shin-Jae Lee, Hongseok An, Sug-Joon Ahn, Young Ho Kim, Sunyoung Pak & Jae Won Lee. (2008) Early stature prediction method using stature growth parameters. Annals of Human Biology 35:5, pages 509-517.
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Md. Ayub Ali, Kumi Ashizawa, Sumiyo Kato, Makiko Kouchi, Chikako Koyama & Hiroshi Hoshi. (2007) Biological variables in height growth of Japanese twins: A comparison with those of singletons. Annals of Human Biology 34:3, pages 283-295.
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Sławomir Kozieł & Robert M. Malina. (2005) Variation in relative fat distribution associated with maturational timing: The Wrocław Growth study. Annals of Human Biology 32:6, pages 691-701.
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John Komlos. (2004) How to (and How Not to) Analyze Deficient Height Samples. Historical Methods: A Journal of Quantitative and Interdisciplinary History 37:4, pages 160-173.
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R. M. Malina, M. E. Peña Reyes, Swee Kheng Tan, P. H. Buschang, B. B. Little & S. Koziel. (2004) Secular change in height, sitting height and leg length in rural Oaxaca, southern Mexico: 1968–2000. Annals of Human Biology 31:6, pages 615-633.
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R. Khongsdier & Nandita Mukherjee. (2003) Effects of heterosis on growth in height and its segments: a cross-sectional study of the Khasi girls in Northeast India. Annals of Human Biology 30:5, pages 605-621.
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Chunlei Ke & Yuedong Wang. (2001) Semiparametric Nonlinear Mixed-Effects Models and Their Applications. Journal of the American Statistical Association 96:456, pages 1272-1298.
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M. L. Johnson, M. Straume & M. Lampl. (2001) The use of regularity as estimated by approximate entropy to distinguish saltatory growth. Annals of Human Biology 28:5, pages 491-504.
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T. Gasser, A. Sheehy & R. H. Largo. (2001) Statistical characterization of the pubertal growth spurt. Annals of Human Biology 28:4, pages 395-402.
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G. Beunen, M. Thomis, H. H. Maes, R. Loos, R. M. Malina, A. L. Claessens, R. Vlietinck. (2000) Genetic variance of adolescent growth in stature. Annals of Human Biology 27:2, pages 173-186.
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S. Rao, S. Joshi, A. Kanade. (2000) Growth in some physical dimensions in relation to adolescent growth spurt among rural Indian children. Annals of Human Biology 27:2, pages 127-138.
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C.A. Geithner, B. Woynarowska & R.M. Malina. (1998) The adolescent spurt and sexual maturation in girls active and not active in sport. Annals of Human Biology 25:5, pages 415-423.
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M. Hermanussen, C. Thiel, E. von Büren, M. de Lama, A. Romero, C. Ruiz, J. Burmeister & J.A.F. Tresguerres. (1998) Micro and macro perspectives in auxology: findings and considerations upon the variability of short term and individual growth and the stability of population derived parameters. Annals of Human Biology 25:4, pages 359-385.
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M. Lampl, K. Ashizawa, M. Kawabata & M.L. Johnson. (1998) An example of variation and pattern in saltation and stasis growth dynamics. Annals of Human Biology 25:3, pages 203-219.
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A.W. Ledford & T.J. Cole. (1998) Mathematical models of growth in stature throughout childhood. Annals of Human Biology 25:2, pages 101-115.
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E. Rebato, I. Salces, L. San Martín, J. Rosique, R. Hauspie & C. Susanne. (1997) Age variations in sibling correlations for height, sitting height and weight. Annals of Human Biology 24:6, pages 585-592.
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M.L. de la Puente, J. Canela, J. Alvarez, L. Salleras & E. Vicens-Calvet. (1997) Cross-sectional growth study of the child and adolescent population of Catalonia (Spain). Annals of Human Biology 24:5, pages 435-452.
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P. Dasgupta & S.R. Das. (1997) A cross-sectional growth study of trunk and limb segments of the Bengali boys of Calcutta. Annals of Human Biology 24:4, pages 363-369.
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Maria K. Lebiedowska, Malgorzata Syczewska, Krzysztof Graff & Malgorzata Kalinowska. (1996) Application of biomechanical growth models of the quantitative evaluation of the motor system in children. Disability and Rehabilitation 18:3, pages 137-142.
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Theo Gasser & Alois Kneip. (1995) Searching for Structure in Curve Samples. Journal of the American Statistical Association 90:432, pages 1179-1188.
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D.Z. Loesch, R. Huggins, E. Rogucka, N.H. Hoang & J.L. Hopper. (1995) Genetic correlates of menarcheal age: a multivariate twin study. Annals of Human Biology 22:6, pages 479-490.
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R.C. Hauspie, P. Bergman, T. Bielicki & C. Susanne. (1994) Genetic variance in the pattern of the growth curve for height: a longitudinal analysis of male twins. Annals of Human Biology 21:4, pages 347-362.
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Pamela J. Byard. (1994) The adolescent growth spurt in children with cystic fibrosis. Annals of Human Biology 21:3, pages 229-240.
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J.E. Murray. (1993) Stature among members of a nineteenth century American Shaker commune. Annals of Human Biology 20:2, pages 121-129.
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J.J. Mcardle & Fumiaki Hamagami. (1992) Modeling incomplete longitudinal and cross-sectional data using latent growth structural models. Experimental Aging Research 18:3, pages 145-166.
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N.S. Altman. (1992) An Introduction to Kernel and Nearest-Neighbor Nonparametric Regression. The American Statistician 46:3, pages 175-185.
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T. Wember, T. Goddemeier & F. Manz. (1992) Height growth of adolescent German boys and girls. Annals of Human Biology 19:4, pages 361-369.
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H. Pan & S.G. Ratcliffe. (1992) A new method of deriving velocity and acceleration curves for height from the kernel estimation of distance. Annals of Human Biology 19:3, pages 303-316.
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J. Komlos, J.M. Tanner, P.S.W. Davies & T. Cole. (1992) The growth of boys in the Stuttgart Carlschule, 1771–93. Annals of Human Biology 19:2, pages 139-152.
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R. Hauspie, T. Bielicki & J. Koniarek. (1991) Skeletal maturity at onset of the adolescent growth spurt and at peak velocity for growth in height: a threshold effect?. Annals of Human Biology 18:1, pages 23-29.
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T. Gasser, A. Kneip, P. Ziegler, R. Largo & A. Prader. (1990) A method for determining the dynamics and intensity of average growth. Annals of Human Biology 17:6, pages 459-474.
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N. Cameron, J. Mitchell, D. Meyer, A. Moodie, M.D. Bowie, M.D. Mann & J.D.L. Hansen. (1990) Secondary sexual development of Cape Coloured boys following kwashiorkor. Annals of Human Biology 17:3, pages 217-228.
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G.E. Butler, M. McKie & S.G. Ratcliffe. (1990) The cyclical nature of prepubertal growth. Annals of Human Biology 17:3, pages 177-198.
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G.W. Lindgren & R.C. Hauspie. (1989) Heights and weights of Swedish school children born in 1955 and 1967. Annals of Human Biology 16:5, pages 397-406.
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K. Satyanarayana, G. Radhaiah, K.R. Mohan, B.V.S. Thimmayamma, N. Rao, B.S. Rao & S. Akella. (1989) The adolescent growth spurt of height among rural Indian boys in relation to childhood nutritional background: An 18 year longitudinal study. Annals of Human Biology 16:4, pages 289-300.
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P.H. Burke & C.A. Hughes-Lawson. (1988) The adolescent growth spurt in the soft tissues of the face. Annals of Human Biology 15:4, pages 253-262.
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N. Cameron, Jeanette Mitchell, Denny Meyer, Aileen Moodie, M.D. Bowie, M.D. Mann & J.D.L. Hansen. (1988) Secondary sexual development of ‘Cape Coloured’ girls following kwashiorkor. Annals of Human Biology 15:1, pages 65-75.
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Dieter Rasch. (1988) Recent results in growth analysis. Statistics 19:4, pages 585-604.
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S. Brown & J. Crisp. (1987) Observations of the changes in standing height at the time of puberty. Annals of Human Biology 14:5, pages 449-452.
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Richard H. Steckel. (1987) Growth depression and recovery: the remarkable case of American slaves. Annals of Human Biology 14:2, pages 111-132.
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Leona Zacharias & William M. Rand. (1986) Adolescent growth in weight and its relation to menarche in contemporary American girls. Annals of Human Biology 13:4, pages 369-386.
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H. Goldstein. (1986) Efficient statistical modelling of longitudinal data. Annals of Human Biology 13:2, pages 129-141.
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Catherine S. Berkey & Nan M. Laird. (1986) Nonlinear growth curve analysis: estimating the population parameters. Annals of Human Biology 13:2, pages 111-128.
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T. Gasser, W. Köhler, H.G. Müller, R. Largo, L. Molinari & A. Prader. (1985) Human height growth: correlational and multivariate structure of velocity and acceleration. Annals of Human Biology 12:6, pages 501-515.
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Theo Gasser, Hans-Georg Müller, Walter Köhler, Andrea Prader, Remo Largo & Luciano Molinari. (1985) An analysis of the mid-growth and adolescent spurts of height based on acceleration. Annals of Human Biology 12:2, pages 129-148.
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T. Gasser, W. Köhler, H-G. Müller, A. Kneip, R. Largo, L. Molinari & A. Prader. (1984) Velocity and acceleration of height growth using kernel estimation. Annals of Human Biology 11:5, pages 397-411.
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C.S. Berkey & R.L. Kent. (1983) Longitudinal principal components and non-linear regression models of early childhood growth. Annals of Human Biology 10:6, pages 523-536.
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Leona Zacharias & W.M. Rand. (1983) Adolescent growth in height and its relation to menarche in contemporary American girls. Annals of Human Biology 10:3, pages 209-222.
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W.Z. Billewicz & I.A. McGregor. (1982) A birth-to-maturity longitudinal study of heights and weights in two West African (Gambian) villages, 1951–1975. Annals of Human Biology 9:4, pages 309-320.
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N. Cameron, J.M. Tanner & R.H. Whitehouse. (1982) A longitudinal analysis of the growth of limb segments in adolescence. Annals of Human Biology 9:3, pages 211-220.
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R.C. Hauspie, S.R. Das, M.A. Preece & J.M. Tanner. (1982) Degree of resemblance of the pattern of growth among sibs in families of West Bengal (India). Annals of Human Biology 9:2, pages 171-174.
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J.M. Tanner, P.C.R. Hughes & R.H. Whitehouse. (1981) Radiographically determined widths of bone muscle and fat in the upper arm and calf from age 3–18 years. Annals of Human Biology 8:6, pages 495-517.
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R.L. Mirwald, D.A. Bailey, N. Cameron & R.L. Rasmussen. (1981) Longitudinal comparison of aerobic power in active and inactive boys aged 7·0 to 17·0 years. Annals of Human Biology 8:5, pages 405-414.
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John Taranger & Urban Hägg. (1980) The timing and duration of adolescent growth. Acta Odontologica Scandinavica 38:1, pages 57-67.
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W. Stützle, Th. Gasser, L. Molinari, R.H. Largo, A. Prader & P.J. Huber. (1980) Shape-invariant modelling of human growth. Annals of Human Biology 7:6, pages 507-528.
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R.C. Hauspie, S.R. Das, M.A. Preece & J.M. Tanner. (1980) A longitudinal study of the growth in height of boys and girls of West Bengal (India) aged six months to 20 years. Annals of Human Biology 7:5, pages 429-440.
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R.C. Hauspie, A. Wachholder, G. Baron, F. Cantraine, C. Susanne & M. Graffar. (1980) A comparative study of the fit of four different functions to longitudinal data of growth in height of Belgian girls. Annals of Human Biology 7:4, pages 347-358.
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