Abstract
Human physical growth is a dynamically changeable and inherently vital phenomenon. Individual growth has own characteristics. The physical dimension of growth is widely influenced by heredity and life environment. The fluctuation of age and size attaining at a special growth phase is large among subjects. Growth patterns gradually change over time and geography. Thus, an optimal asymptotic growth model is useful and effective for both data reduction and the characterisation of individual and average physical growth.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akaike, H., 1973, Information theory and an extension of the maximum likelihood principle. In the 2nd International Symposium on Information Theory, edited by B.N. Petrov and E. Csaki (Budapest: Akademiai Kiado), p. 267.
Bertalanffy, L. von, 1957, Quantitative laws in metabolism and growth. The Quarterly Review of Biology, 32, 217–231.
Bock, R. D., and Thissen, D., 1980, Statistical problems of fitting individual growth curve. In Human Physical Growth and Maturation: Methodologies and Factors, edited by F.E. Johnston, A.F. Roche, and C. Susanne (New York: Plenum Press), p. 265.
Bock, R. D., Wainer, H., Petersen, A., Thissen, D., Murray, J. and Roche, A., 1973, A parametrization for individual human growth curves. Human Biology, 45, 63–80.
Boyd, E., 1980, Origins of the study of human growth. (Portland, Oregon: University of Oregon Health Sciences Center Foundation).
Count, E. W., 1943, Growth patterns of the human physique: An approach to kinetic anthropometry, Part I. Human Biology, 15, 1–32.
Day, N. E., 1966, Fitting curves to longitudinal data. Biometrics, 22, 276–291.
Falkner, F., and Tanner, J. M., 1986, Human Growth: A Comprehensive Treaties. 2nd ed., Volume 3: Methodology. (New York: Plenum Press).
Goldstein, H., 1979, The design and analysis of longitudinal studies: Their role in the measurements of change (London: Academic Press).
Hauspie, R. C, 1989, Mathematical models for the study of individual growth patterns. Revue d’Epidémiologie et de Santé Publique, 37, 461–476.
Hauspie, R., Lindgren, G., and Falkner, F., 1995, Essays on Auxology, (Welwyn Garden City: Castlemead Publications).
Jenss, R. M., and Bayley, B., 1937, A mathematical method for studying the growth of a child. Human Biology, 9, 556–563.
Johnston, F. E., Roche, A. F., and Susanne, C, 1980, Human Physical Growth and Maturation: Methodologies and Factors (New York: Plenum Press).
Jolicoeur, P., Pontier, J., and Abidi, H., 1992, Asymptotic models for the longitudinal growth of human stature. American Journal of Human Biology, 4, 461–468.
Jolicoeur, P., Pontier, J., Pernin, M.-O., and Sempé, M., 1988, A lifetime asymptotic growth curve for human height. Biometrics, 44, 995–1003.
Kshirsagar, A. M., and Smith, W. B., 1995, Growth curves (New York: Marcel Dekker).
Lindstrom, M. J., and Bates, D. M., 1990, Non linear mixed effects models for repeated measures data, Biometrics, 46, 673–687.
Marubini, E., and Milani, S., 1986, Approaches to the analysis of longitudinal data, In Human Growth Vol. 3: Methodology, ecological, genetic and nutritional effects on growth, edited by F. Falkner, and J.M. Tanner (New York: Plenum Press) p. 79.
Marubini, E., Resele, L. F., Tanner, J. M., Whitehouse, R. H., 1972, The fit of Gompertz and logistic curves to longitudinal data during adolescence on height, sitting height and biacromial diameter in boys and girls of the Harpenden growth study. Human Biology, 44, 511–524.
Preece, M. A., and Baines, M. J., 1978, A new family of mathematical models describing the human growth curve. Annals of Human Biology, 5, 1–24.
Qin, T., Shohoji, T., and Sumiya, T., 1996, Relationship between adult stature and timing of the pubertal growth spurt. American Journal of Human Biology, 8, 417–426.
Rao, C. R., 1952, Advanced statistical methods in biométrie research. (New York: John Wiley & Sons, Inc), p. 131.
Richards, F. J., 1959, A flexible growth function for empirical use. Journal of Experimental Botany, 10, 290–300.
Shohoji, T., 1982, On the asymptotic properties of the maximum likelihood estimates on a growth curve, Hiroshima University Statistical Research Group Technical Report, No. 63.
Shohoji, T., Kanefuji, K., Sumiya, T., and Qin, T., 1991, A prediction of individual growth of height according to an empirical Bayesian approach. Annals of Institute of Statistical Mathematics, 43, 607–619.
Susman, E. P., Murphy, J. R., Zerbe, G. O., and Jones, R. H., 1998, Using a nonlinear mixed model to evaluate three models of human stature. Growth, Development and Aging, 62, 161–171.
Tanner, J. M., 1981, A history of the study of human growth (Cambridge: Cambridge University Press).
Winsor, C. P., 1932, The Gompertz curve as a growth curve, Proceeding of the National Academy of Sciences, U.S.A., 18, 1–8.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Shohoji, T., Sumiya, T. (2001). Individual Physical Growth Models and Biological Parameters of Japanese. In: Dasgupta, P., Hauspie, R. (eds) Perspectives in Human Growth, Development and Maturation. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9801-9_2
Download citation
DOI: https://doi.org/10.1007/978-94-015-9801-9_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5820-1
Online ISBN: 978-94-015-9801-9
eBook Packages: Springer Book Archive