These ids differ very little within the same germ-plasm; in species
which have long been established the majority probably only differ
in correspondence to the individual differences of the fully-formed
organisms, but they are only absolutely alike in the case of two
ids which have been formed by the division of a mother-id. Let us
disregard this for the moment, and assume that all the ids of a
germ-plasm are different: the germ-plasm of a father, _A_, will be
composed of ids _A_ 1-100, that of the mother, _B_, of the ids _B_
1-100. But in each mature germ-cell of these two parents only fifty
ids are contained, and if we assume that the mingling of the ids is
controlled solely by chance, then in the various germ-cells _A_ × _B_
the most diverse combinations of ids may be contained; for instance,
_A_ 1, 3, 5, 7, 9, 11, ...to 99, or _A_ 1-10 and 20-30, and 40-50,
and so on, and similarly in the germ-cells _B_. If all germ-cells
produced by _A_ and by _B_ attained to development, or even if all the
ova succeeded, the thousand or hundred thousand children of this pair
would necessarily exhibit every possible mingling of their characters,
and each in the same number according to the rules of probability
calculations. But it is well known _that this does not happen_; of
the thousands of human ova, for instance, which come to maturity in
the course of the life of a female individual more than ten rarely
develop, and more than thirty never, and these are determined solely
by chance and quite independently of the mixture of ids which they
contain. It is thus purely a matter of chance which of the complexes
of primary constituents contained in the germ-plasm of an individual
are transmitted to descendants, and it is also purely a matter of
chance which combination of ids comes to be developed. Therefore we may
say that no regular neutralizing of contrasts, either in the primary
constituents of the parents or as regards the differences in their
characters, can occur. In one case there is a blended inheritance;
in another the child takes after the father or after the mother; in a
third, and this probably occurs most frequently, the child resembles
the father in some characters and the mother in others.
But how then does Galton's curve of frequency of variations come about?
Why does the mean of any character occur by far the most frequently,
and why does the frequency of a variation diminish regularly in
proportion to its approximation to either extreme? To this it is
answered: Because the process of mingling through amphigony goes on
through numerous generations, and thus an elimination of chance, and
the establishment of an average, must be brought about.
Public-domain text, read in full here on John Shaqi.
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