But perhaps the solution of this problem is not so difficult as it

appears to be. If we may assume that in eggs which are capable of two

kinds of development the second polar body is not expelled until the

entrance of a spermatozoon has taken place, the explanation of the

possibility of parthenogenetic development when fertilization does not

occur would be forthcoming. Now we know, from the investigations of O.

Hertwig and Fol, that in the eggs of _Echinus_ the two polar bodies are

even formed in the ovary, and are therefore quite independent of

fertilization, but in this and other similar cases a parthenogenetic

development of the egg never takes place. There are, however,

observations upon other animals which point to the fact that the first

only and not the second polar body may be formed before the

spermatozoon penetrates into the egg. It can be easily understood why

it is that entirely conclusive observations are wanting, for hitherto

there has been no reason for any accurate distinction between the first

and the second polar body. But in many eggs it appears certain that the

second polar body is not expelled until the spermatozoon has

penetrated. O. Schultze, the latest observer of the egg of the frog, in

fact saw the first polar body alone extruded from the unfertilized egg:

a second nuclear spindle was indeed formed, but the second polar body

was not expelled until after fertilization had taken place. A very

obvious theory therefore suggests itself:—that while the formation of

the second polar body is purely a phenomenon of maturation in most

animal eggs, and is independent of fertilization,—in the eggs of a

number of other animals, on the other hand, and especially among

Arthropods, the formation of the second nuclear spindle is the result

of a stimulus due to the entrance of a spermatozoon. If this suggestion

be confirmed, we should be able to understand why parthenogenesis

occurs in certain classes of animals wherever the external conditions

of life render its appearance advantageous, and further, why in so many

species of insects a sporadic parthenogenesis is observed, viz. the

parthenogenetic development of single eggs (Lepidoptera). Slight

individual differences in the facility with which the second nuclear

spindle is formed independently of fertilization would in such cases

decide whether an egg is or is not capable of parthenogenetic

development. As soon, however, as the second nuclear spindle is formed,

parthenogenesis becomes impossible. The nuclear spindle which gives

rise to the second polar body, and that which initiates segmentation,

are two entirely different things, and although they contain the same

quantity, and the same kind of germ-plasm, a transformation of the one

into the other is scarcely conceivable. This conclusion will be

demonstrated in the following part of the essay.

II. The Significance of the Second Polar Body.

I have already discussed the physiological importance of the first

polar body, or rather of the first division undergone by the nucleus of

the egg, and I have explained it as the removal of ovogenetic nuclear

substance which has become superfluous and indeed injurious after the

maturation of the egg. I do not indeed know of any other meaning which

can be ascribed to this process, now that we know of the occurrence of

a first division of the nucleus in parthenogenetic as well as in sexual

eggs. A part of the nucleus must thus be removed from both kinds of

eggs, a part which was necessary to complete their growth, and which

then became superfluous and at the same time injurious. In this respect

the observations of Blochmann[254] upon the eggs of _Musca vomitoria_

seem to me to be very interesting. Here the two successive divisions of

the nuclear spindle arising from the egg-nucleus take place, but true

polar bodies are not expelled, and the two nuclei corresponding to them

(one of which divides once more) are placed on the surface of the egg,

surrounded by an area free from yolk granules; and they break up at a

later period. The essential point is obviously to eliminate from the

egg-cell the influence of nucleoplasm which has been separated from the

egg-nucleus as the first polar body; and this condition is satisfied

whether the elimination is brought about by a process of true

cell-division, as is the rule in the eggs of most animals, or by the

division and removal of part of the egg-nucleus alone. The occurrence

of the latter method of elimination certainly constitutes a still

further proof of the physiological importance of the process, and this,

taken together with the universal occurrence of polar bodies in all

eggs—parthenogenetic and sexual—forces us to conclude that the process

must possess a definite significance. No one of the various attempts

which have been made to explain the significance of polar bodies

generally is applicable to the _first_ polar body except that which I

have attempted.

But the case is different with the significance of the _second_ nuclear

division, or the _second_ polar body. Here it might perhaps be possible

to return to the view brought forward by Minot, Balfour, and van

Beneden, and to consider the removal of this part of the nucleus as the

expulsion of the male part of the previously hermaphrodite egg-cell.

The second polar body is only expelled when the egg is to be

fertilized, and at first sight it appears to be quite obvious that such

a preparation of the egg for fertilization must depend upon its

reduction to the female state. I believe however that this is not the

case, and am of opinion that the process has an entirely different and

much deeper meaning.

How can we gain any conception of this supposed hermaphroditism of the

egg-cell, and its subsequent attainment of the female state? What are

the essential characteristics of the male and female states? We know of

female and male individuals, among both animals and plants: their

differences consist essentially in the fact that they produce different

kinds of reproductive cells; in part they are of a secondary nature,

being adaptations of the organism to the functions of reproduction;

they are intended to attract the other sex, or to ensure the meeting of

the two kinds of reproductive cells, or to enable the fertilized egg to

develope and sometimes to guide the development of the offspring until

it has reached a certain period of growth. But all these differences,

however great they may sometimes be, do not alter the essential nature

of the organism. The blood corpuscles of man and woman are the same,

and so are the cells of their nerves and muscles; and even the sexual

cells, so different in size, appearance, and generally also in motile

power, must contain the same fundamental substance, the same idioplasm.

Otherwise the female germ-cell could not transmit the male characters

of the ancestors of the female quite as readily as the female

characters, nor could the male germ-cell transmit the female quite as

readily as the male characters of the ancestors of the male. It is

therefore clear that the nuclear substance itself is not sexually

differentiated.

I have already previously pointed out that the above-mentioned facts of

heredity contain the disproof of Minot’s theory, inasmuch as the

egg-cell transmits male as well as female characters. Strasburger[255]

has also raised a similar objection. I consider this objection to be

quite conclusive, for there does not seem to be any way in which the

difficulty can be met by the supporters of the theory. The difficulty

could indeed be evaded until we came to know that the essential part of

the polar body is nuclear substance, and that the latter must be

regarded as idioplasm,—as the substance which is the bearer of

heredity. It might have been maintained that the male part, removed

from the egg, consists only in a condition, perhaps comparable to

positive or negative electricity; and that this condition is present in

the substance of the polar body, so that the removal of the latter

would merely signify a removal of the unknown condition. I do not mean

to imply that any of those who have adopted Minot’s theory have had any

such vague ideas concerning this process, but even if any one were

ready to adopt it, he would be unable to make any use of the idea. He

would not be able to support the theory in this way, for we now know

that nuclear substance is removed with the polar body, and this fact

requires an explanation which cannot be afforded by the theory, if we

are right in believing that the expelled nuclear substance is not

merely the indifferent bearer of the unknown principle of the male

condition, but hereditary substance. I therefore believe that Minot’s,

Balfour’s, and van Beneden’s hypothesis, although an ingenious attempt

which was quite justified at the time when it originated, must be

finally abandoned.

My opinion of the significance of the second polar body is shortly

this,—a reduction of the germ-plasm is brought about by its formation,

a reduction not only in quantity, but above all in the complexity of

its constitution. By means of the second nuclear division the excessive

accumulation of different kinds of hereditary tendencies or germ-plasms

is prevented, which without it would be necessarily produced by

fertilization. With the nucleus of the second polar body as many

different kinds of idioplasm are removed from the egg as will be

afterwards introduced by the sperm-nucleus; thus the second division of

the egg-nucleus serves to keep constant the number of different kinds

of idioplasm, of which the germ-plasm is composed during the course of

generations.

In order to make this intelligible a short explanation is necessary.

From the splendid series of investigations on the process of

fertilization, commenced by Auerbach and Bütschli, and continued by

Hertwig, Fol, Strasburger, van Beneden, and many others, and from the

theoretical considerations brought forward by Pflüger, Nägeli, and

myself, at least one certain result follows, viz. that there is an

hereditary substance, a material bearer of hereditary tendencies, and

that this substance is contained in the nucleus of the germ-cell, and

in that part of it which forms the nuclear thread, which at certain

periods appears in the form of loops or rods. We may further maintain

that fertilization consists in the fact that an equal number of loops

from either parent are placed side by side, and that the segmentation

nucleus is composed in this way. It is of no importance, as far as this

question is concerned, whether the loops of the two parents coalesce

sooner or later, or whether they remain separate. The only essential

conclusion demanded by our hypothesis is that there should be complete

or approximate equality between the quantities of hereditary substance

derived from either parent. If then the germ-cells of the offspring

contain the united germ-plasms of both parents, it follows that such

cells can only contain half as much paternal germ-plasm as was

contained in the germ-cells of the father, and half as much maternal

germ-plasm as was contained in the germ-cells of the mother. This

principle is affirmed in a well-known calculation made by breeders of

animals, who only differ from us in their use of the term ‘blood’

instead of the term germ-plasm. Breeders say that half of the ‘blood’

of the offspring has been derived from the father and the other half

from the mother. The grandchild similarly derives a quarter of its

‘blood’ from each of the four grandparents, and so on.

Let us imagine, for the sake of argument, that sexual reproduction had

not been introduced into the animal kingdom, and that asexual

reproduction had hitherto existed alone. In such a case, the germ-plasm

of the first generation of a species which enters upon sexual

reproduction must still be entirely homogeneous; the hereditary

substance must, in each individual, consist of many minute units, each

of which is exactly like the other, and each of which contains within

itself the tendency to transmit, under certain circumstances, the whole

of the characters of the parent to a new organism—the offspring. In

each of the offspring of such a first generation, the germ-plasms of

two parents will be united, and every germ-cell contained in the

individuals of this second sexually produced generation will now

contain two kinds of germ-plasm—one kind from the father, and the other

from the mother. But if the total quantity of germ-plasm present in

each cell is to be kept within the pre-determined limits, each of the

two ancestral germ-plasms, as I may now call them, must be represented

by only half as many units as were contained in the parent germ-cells.

In the third sexually produced generation, two new ancestral

germ-plasms would be added by fertilization to the two already present,

and the germ-cells of this generation would therefore contain four

different ancestral germ-plasms, each of which would constitute a

quarter of the total quantity. In each succeeding generation the number

of the ancestral germ-plasms is doubled, while their quantities are

reduced by one half. Thus in the fifth sexually produced generation,

each of the sixteen ancestral germ-plasms will only constitute 1/16 of

the total quantity; in the sixth, each of the thirty-two ancestral

germ-plasms, only 1/32, and so on. The germ-plasm of the tenth

generation would be composed of 1024 different ancestral germ-plasms,

and that of the n^{th} of 2^n. By the tenth generation each single

ancestral germ-plasm would only form 1/1024 of the total quantity of

germ-plasm contained in a single germ-cell. We know nothing whatever of

the length of time over which this process of division of the ancestral

germ-plasms may have endured, but even if it had continued to the

utmost possible limit—so far indeed that each ancestral germ-plasm was

only represented by a single unit—a time would at last come when any

further division into halves would cease to be possible; for the very

conception of a unit implies that it cannot be divided without the loss

of its essential nature, which in this case constitutes it as the

hereditary substance.

In the diagram represented in Fig. I. I have tried to render these

conclusions intelligible. In generation I. each paternal and maternal

germ-plasm is still entirely homogeneous, and does not contain any

combination of different hereditary qualities, but the germ-plasm of

the offspring is made up of equal parts of two kinds of germ-plasm. In

the second generation this latter germ-plasm unites with another

derived from other parents, which is similarly composed of two

ancestral germ-plasms, and the resulting third generation now contains

four different ancestral germ-plasms in its germ-cells, and so on. The

diagram only indicates the fusion of ancestral germ-plasms as far as

the offspring of the fourth generation, the germ-cells of which contain

sixteen different ancestral germ-plasms. If we imagine the germ-plasm

units to be so large that there is only room for sixteen of them in the

nuclear thread, the limits of division would-be reached in the fifth

generation, and any further division into halves of the ancestral

germ-plasms would be impossible.

Now however minute the units may be, there is not the least doubt that

the limits of possible division have been long since reached by all

existing species, for we may safely assume that no one of them has

acquired the sexual method of reproduction within a small number of

recent generations. All existing species must therefore now contain as

many different kinds of ancestral germ-plasms as they are capable of

containing; and the question arises,—How can sexual reproduction now

proceed without a doubling of the quantity of germ-plasm in each

germ-cell, with every new generation?

There is only one possible answer to such a question:—sexual

reproduction can proceed by a reduction in the _number_ of ancestral

germ-plasms, a reduction which is repeated in every generation.

[Illustration: Fig. I.]

This _must_ be so: the only question is, how and when does the supposed

reduction take place.

Inasmuch as the germ-plasm is seated, according to our theory, in the

nucleus, the necessary reduction can only be produced by nuclear

division; and quite apart from any observation which has been already

made, we may safely assert that there _must_ be a form of nuclear

division in which the ancestral germ-plasms contained in the nucleus

are distributed to the daughter-nuclei in such a way that each of them

receives only half the number contained in the original nucleus. After

Roux’s[256] elaborate review of the whole subject, we need no longer

doubt that the complex method of nuclear division, hitherto known as

karyokinesis, must be considered not merely as a means for the division

of the total quantity of nuclear substance, but also for producing a

division of the quantity and quality of each of its single elements. In

by far the greater number of instances the object of this division is

obviously to effect an equal distribution of nuclear substance in the

two daughter-nuclei, so that each of the different qualities contained

in the mother-nucleus is transferred to the two daughter-nuclei. This

interpretation of ordinary karyokinesis is less uncertain than perhaps

at first sight it may appear to be. We cannot, it is true, directly see

the ancestral germ-plasms, nor do we even know the parts of the nucleus

which are to be looked upon as constituting ancestral germ-plasm; but

if Flemming’s original discovery of the longitudinal division of the

loops lying in the equatorial plane of the nuclear spindle is to have

any meaning at all, its object must be to divide and distribute the

different kinds of the minutest elements of the nuclear thread as

equally as possible. It has been ascertained that the two halves

produced by the longitudinal splitting of each loop never pass into the

same daughter-nucleus, but always in opposite directions. The essential

point cannot therefore be the division of the nucleus into absolutely

equal quantities, but it must be the distribution of the different

qualities of the nuclear thread, without exception, in both

daughter-nuclei. But these different qualities are what I have called

the ancestral germ-plasms, i.e. the germ-plasms of the different

ancestors, which must be contained in vast numbers, but in very minute

quantities, in the nuclear thread. The supposition of a vast number is

not only required by the phenomena of heredity but also results from

the comparatively great length of the nuclear thread: furthermore it

implies that each of them is present in very small quantity. The vast

number together with the minute quantity of the ancestral germ-plasms

permit us to conclude that they are, upon the whole, arranged in a

linear manner in the thin thread-like loops: in fact the longitudinal

splitting of these loops appears to me to be almost a proof of the

existence of such an arrangement, for without this supposition the

process would cease to have any meaning.

This is the only kind of karyokinesis which has been observed until

recently; but if the supposed nuclear division leading to a reduction

in the number of ancestral germ-plasms has any real existence, there

must be yet another kind of karyokinesis, in which the primary

equatorial loops are not split longitudinally, but are separated

without division into two groups, each of which forms one of the two

daughter-nuclei. In such a case the required reduction in the number of

ancestral germ-plasms would take place, for each daughter-nucleus would

receive only half the number which was contained in the mother-nucleus.

Now there is more evidence for the existence of this second kind of

karyokinesis than the fact that it is demanded by my theory; for I

believe that it has been already observed, although it has not been

interpreted in this sense.

It is very probable that this is true of van Beneden’s[257] observation

on the egg of _Ascaris megalocephala_: he found that the nuclear

division which led to the formation of the polar body differs from the

ordinary course of karyokinesis, in that the plane of division is at

right angles to that usually assumed. Carnoy[258] has confirmed this

observation in its main features, and he has made the further

observation that out of the eight nuclear loops which are found at the

equator of the spindle, four are removed with the first polar body, and

that half of the remaining four are removed with the second polar body.

The first of these two divisions would have to be looked upon as a

reduction, if it is certain that each of the eight nuclear loops

consists of different ancestral germ-plasms; but this assumption is

impossible, although on the other hand it cannot be _directly_

disproved: for we are not able to see the ancestral germ-plasms. But it

must nevertheless be maintained that the removal of the first four

loops does not imply a reduction in the number of ancestral germ-plasms

in the nucleus; because, as I have already argued, two successive

divisions of the number of ancestral germ-plasms into halves is

inconceivable; and because the first polar body is also present in

parthenogenetic eggs in which such division into halves cannot take

place. But the karyokinetic process can readily be looked upon as a

removal of ovogenetic nucleoplasm, for we know from the observations of

Flemming and Carnoy, that, under certain circumstances, subsequent

divisions may occur, involving an increase in the number of nuclear

loops to double their number. These subsequent divisions of course take

place in the daughter-nuclei. This fact proves, as I think, that there

are nuclei in which the same ancestral germ-plasm occurs in two

different loops: but such loops, identical as regards the composition

of their ancestral germ-plasms, may very well contain different

ontogenetic stages of this substance. This will be the case in the

instance alluded to, if four loops of the first nuclear spindle are to

be looked upon as ovogenetic nucleoplasm, and the four others as

germ-plasm. It is therefore unnecessary to regard the first division of

the egg-nucleus as a ‘reducing division’: it may be looked upon as an

‘equal division’[259] entirely analogous to the kind of division which,

in my opinion, directs the development of the embryo. This conclusion

would receive direct proof if it were possible to show that the eight

loops of the first division have arisen by the longitudinal splitting

of four _primary_ loops: for a longitudinal splitting of the nuclear

thread would be the means by which the different ontogenetic stages of

the germ-plasm could be separated from one another, without leading to

any reduction in the number of ancestral germ-plasms in the

daughter-nuclei. Thus I have previously attempted to prove that the

ontogenetic development of the egg must be connected with a progressive

transformation of the nucleoplasm during successive nuclear divisions,

and this transformation will very frequently (but not always) occur in

such a way that the different qualities of the nucleoplasm are

separated from one another by the nuclear division. The nucleoplasm of

the daughter-nuclei will be identical if the two daughter-cells are to

potentially contain corresponding parts of the embryo; as for instance

the first two segmentation spheres of the egg of the frog, which

according to Roux[260] correspond to the right and left halves of the

future animal. But the nucleoplasm must be unequal if the products of

division are to develope into different parts of the embryo. In both

cases, however, karyokinesis is connected with a longitudinal splitting

of the nuclear threads, and we may conclude from this fact (which is

also confirmed by the phenomena of heredity) that all such nuclei,

whether they have entered upon the same or different ontogenetic

transformations of their nucleoplasm, are identical as regards the

ancestral germ-plasm which they contain. During the whole process of

segmentation and the entire development of the embryo, the total number

of ancestral germ-plasms which were at first contained in the

germ-plasm of the fertilized egg-cell must still be contained in each

of the succeeding cells.

Thus no objection can be raised against the view that the four loops of

the first polar body contain the ovogenetic nucleoplasm, that is to

say, an idioplasm which contains the total number of ancestral

germ-plasms, but at an advanced and highly specialized ontogenetic

stage.

The formation of the second polar body may be rightly considered as a

‘reducing division,’ as a division leading to the expulsion of half the

number of the different ancestral germ-plasms, in the form of two

nuclear loops, for no reason can be alleged in support of the

assumption that the four loops of the second nuclear spindle are made

up of identical pairs. Furthermore the facts of heredity require the

assumption that the greatest possible number of ancestral germ-plasms

is accumulated in the germ-plasm of each germ-cell, and thus that the

small number of loops not only means an increase in quantity but a

multiplication in the number of different ancestral germ-plasms present

in each of them. If this conclusion be correct, there can be no doubt

that the second division of the egg-nucleus means a reduction in the

above-mentioned sense.

Essays Upon Heredity and Kindred Biological Problems Authorised Translation · 第 34 / 44 段