Age 5 6 7 8 9
Stature (Bowditch) 4·76 4·60 4·42 4·49 4·40
Stature (Boas and Wissler) 4·15 4·14 4·22 4·37 4·33
Weight (Bowditch) 11·56 10·28 11·08 9·92 11·04
Age 10 11 12 13 14
Stature (Bowditch) 4·55 4·70 4·90 5·47 5·79
Stature (Boas and Wissler) 4·36 4·54 4·73 5·16 5·57
Weight (Bowditch) 11·60 11·76 13·72 13·60 16·80
Age 15 16 17 18
Stature (Bowditch) 5·57 4·50 4·55 3·69
Stature (Boas and Wissler) 5·50 4·69 4·27 3·94
Weight (Bowditch) 15·32 13·28 12·96 10·40
The result is very curious indeed. We see, from Fig. 11, that the
curve of variability is very similar to what we have called the
acceleration-curve (Fig. 4): that is to say, it descends when the rate
of growth diminishes, and rises very markedly again when, in late
boyhood, the rate of growth is temporarily accelerated. We {80} see,
in short, that the amount of _variability_ in stature or in weight is a
function of the _rate of growth_ in these magnitudes, though we are not
yet in a position to equate the terms precisely, one with another.
[Illustration: Fig. 11. Coefficients of variability of stature in Man
(♂). from Boas and Wissler’s data.]
If we take not merely the variability of stature or weight at a given
age, but the variability of the actual successive increments in each
yearly period, we see that this latter coefficient of variability
tends to increase steadily, and more and more rapidly, within the
limits of age for which we have information; and this phenomenon is,
in the main, easy of explanation. For a great part of the difference,
in regard to rate of growth, between one individual and another is a
difference of _phase_,—a difference in the epochs of acceleration and
retardation, and finally in the epoch when growth comes to an end.
And it follows that the variability of rate will be more and more
marked, as we approach and reach the period when some individuals
still continue, and others have already ceased, to grow. In the
following epitomised table, {81} I have taken Boas’s determinations
of variability (σ) (_op. cit._ p. 1548), converted them into the
corresponding coefficients of variability ((σ/_M_) × 100), and then
smoothed the resulting numbers.
_Coefficients of Variability in Annual Increment of Stature._
Age 7 8 9 10 11 12 13 14 15
Boys 17·3 15·8 18·6 19·1 21·0 24·7 29·0 36·2 46·1
Girls 17·1 17·8 19·2 22·7 25·9 29·3 37·0 44·8 —
The greater variability of annual increment in the girls, as compared
with the boys, is very marked, and is easily explained by the more
rapid rate at which the girls run through the several phases of the
phenomenon.
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