In a very well-known paper, Bateson shewed that, among a large number
of earwigs, collected in a particular locality, the males fell into two
groups, characterised by large or by small tail-forceps, with very few
instances of intermediate magnitude. This distribution into two groups,
according to magnitude, is illustrated in the accompanying diagram
(Fig. 23); and the phenomenon was described, and has been often quoted,
as one of dimorphism, or discontinuous variation. In this diagram the
time-element does not appear; but it is certain, and evident, that
it lies close behind. Suppose we take some organism which is born
not at all times of the year (as man is) but at some one particular
season (for instance a fish), then any random sample will consist of
individuals whose _ages_, and therefore whose _magnitudes_, will form
a discontinuous series; and by plotting these magnitudes on a curve in
relation to the number of individuals of each particular magnitude, we
obtain a curve such as that shewn in Fig. 24, the first practical use
of which is to enable us to analyse our sample into its constituent
“age-groups,” or in other words to determine approximately the age,
or ages of the fish. And if, instead of measuring the whole length of
our fish, we had confined ourselves to particular parts, such as head,
or {105} tail or fin, we should have obtained discontinuous curves
of distribution, precisely analogous to those for the entire animal.
Now we know that the differences with which Bateson was dealing were
entirely a question of magnitude, and we cannot help seeing that the
discontinuous distributions of magnitude represented by his earwigs’
tails are just such as are illustrated by the magnitudes of the older
and younger fish; we may indeed go so far as to say that the curves
are precisely comparable, for in both cases we see a characteristic
feature of detail, namely that the “spread” of the curve is greater in
the second wave than in the first, that is to say (in the case of the
fish) in the older as well as larger series. Over the reason for this
phenomenon, which is simple and all but obvious, we need not pause.
[Illustration: Fig. 24. Variability of length of body in a sample of
Plaice.]
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