A method is introduced for estimating acceleration, velocity and distance of longitudinal growth curves and it is illustrated by analysing human height growth. This approach, called kernel estimation, belongs to the class of smoothing methods and does not assume an a priori fixed functional model, and not even that one and the same model is applicable for all children. The examples presented show that acceleration curves might allow a better quantification of the mid-growth spurt (MS) and a more differentiated analysis of the pubertal spurt (PS). Accelerations are prone to follow random variations present in the data, and parameters defined in terms of acceleration are, therefore, validated by a comparison with parameters defined in terms of velocity. Our non-parametric-curve-fitting approach is also compared with parametric fitting via a model suggested by Preece and Baines (1978).

Body Height↗

PubMedDate not supplied

An analysis of the mid-growth and adolescent spurts of height based on acceleration.

Height growth between four weeks and 20 years of 45 boys and 45 girls from the Zürich Longitudinal Growth Study (1955-1976) was analysed using kernel estimates. Timings of the mid-growth spurt (MS) and of the pubertal spurt (PS) were determined in an automatic way from the individual acceleration curves, together with height, percentage of height, velocity and acceleration at these ages. The small mid-growth spurt is a consistent phenomenon, peaking at 6.4 years (M,F) in acceleration and at 7.7 years (M) and 7.5 years (F) in velocity. There are no significant sex differences in its intensity. In girls, the PS follows in close succession to the MS; in boys there is a substantial period in between. In addition to the age of peak height velocity, ages of onset, maximal acceleration and end of the PS are defined. Sex differences in timing and size of the pubertal peak previously established were again verified. New results relate to the asymmetry of the PS, which is more pronounced in girls, and to sex differences in intensity and duration of the first rising phase of the PS. After this phase, boys and girls do not differ in timing but only in the intensity of deceleration.

Adolescent↗

PubMedDate not supplied

Human height growth: correlational and multivariate structure of velocity and acceleration.

In this paper the correlations between parameters quantifying the mid-growth spurt (MS) and the pubertal spurt (PS) of height are explored. These parameters are defined in individual acceleration, velocity, and distance curves, which are obtained via kernel estimates as previously introduced. The MS proves to be a phenomenon largely independent of the PS. Intensity, timing, and duration of the PS are also independent mechanisms of growth and neither of them influences adult height in an appreciable way. Adult height depends mostly on pre-adolescent velocity. Short-, medium- and long-term regulatory mechanisms for explaining height growth are considered. For short-term mechanisms, acceleration plays a crucial role.

Adolescent↗