[Illustration: Fig. 8. Mean monthly increments of length or stature of
child (in cms.).]
These data link on very well to those of Rüssow, which we have just
considered, and (though His’s measurements for the pre-natal months are
more detailed than are those of Rüssow for the first year of post-natal
life) we may draw a continuous curve of growth (Fig. 7) and curve of
acceleration of growth (Fig. 8) for the combined periods. It will at
once be seen that there is a “point of inflection” somewhere about
the fifth month of intra-uterine life[105]: up to that date growth
proceeds with a continually increasing {76} velocity; but after that
date, though growth is still rapid, its velocity tends to fall away.
There is a slight break between our two separate sets of statistics
at the date of birth, while this is the very epoch regarding which we
should particularly like to have precise and continuous information.
Undoubtedly there is a certain slight arrest of growth, or diminution
of the rate of growth, about the epoch of birth: the sudden change
in the {77} method of nutrition has its inevitable effect; but this
slight temporary set-back is immediately followed by a secondary, and
temporary, acceleration.
[Illustration: Fig. 9. Curve of pre-natal growth (length or stature) of
child; and corresponding curve of mean monthly increments (mm.).]
[Illustration: Fig. 10. Curve of growth of bamboo (from Ostwald, after
Kraus).]
It is worth our while to draw a separate curve to illustrate on a
larger scale His’s careful data for the ten months of pre-natal life
(Fig. 9). We see that this curve of growth is a beautifully regular
one, and is nearly symmetrical on either side of that point of
inflection of which we have already spoken; it is a curve for which
we might well hope to find a simple mathematical expression. The
acceleration-curve shown in Fig. 9 together with the pre-natal curve
of growth, is not taken directly from His’s recorded data, but is
derived from the tangents drawn to a smoothed curve, corresponding as
nearly as possible to the actual curve of growth: the rise to a maximal
velocity about the fifth month and the subsequent gradual fall are
now demonstrated even more clearly than before. In Fig. 10, which is
a curve of growth of the bamboo[106], we see (so far as it goes) the
same essential features, {78} the slow beginning, the rapid increase
of velocity, the point of inflection, and the subsequent slow negative
acceleration[107].
_Variability and Correlation of Growth._
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