Asymptotic models for the longitudinal growth of human stature

Abstract

Eight different asymptotic models, of which some are entirely new while others are revised versions, are compared with respect to their goodness of fit for the description of the longitudinal growth of stature in 27 healthy children from the French Auxological Survey. Some growth models are based on total age, defined as measured from the time of fertilization, and may be particularly suitable if prenatal data are to be included in the analysis or if prenatal extrapolations are desired. Other models are based on postnatal age (age after birth), and some of these are the most accurate, but they would not be suitable for prenatal data or extrapolations. More general models, such as the polynomial logistic or the triple logistic, can be used but are not the most accurate among those included in the present study. Two new models are proposed which possess an improved goodness of fit.