But if it be asked whether the postponement of the ‘reducing division’

to the end of the ovarian development of the egg is inconsistent with

the preservation of the other half of the dividing nucleus, I should be

inclined to reply that a ‘reducing division’ of the mature egg,

resulting in the production of two eggs, was probably the phyletic

precursor of the present condition. I imagine that the division of the

mature egg-cell—although it is now so extremely unequal—was equal in

very remote times; but that for reasons of utility, connected with the

specialization of the eggs of animals, it gradually became more and

more unequal. It is now hardly possible to give in detail the various

reasons of utility which have brought about this condition, but it may

be assumed that the enormous size attained by many animal egg-cells has

been especially potent in producing the change.

A careful consideration of this last point seems to me to be demanded

by a comparison of the egg-cells with the male germ-cells. Just as the

female germ-cells of animals are distinguished by the attainment of a

large size, the male germ-cells are generally remarkable for their

minute proportions. In most cases it would be physiologically

impossible for a large egg-cell, rich in yolk, to attain double its

specific size in order to undergo division into two equal halves and

yet to remain of the characteristic size. Even without the additional

difficulties imposed by the necessity for such a division, all

means—such as cells used as food, or the passage of food from

follicular cells into the ovum, etc.—are employed in order to bring the

egg-cell to the greatest attainable size. Furthermore, the ‘reducing

division’ of the nucleus cannot take place before the egg has attained

its full size, because the ovogenetic nucleoplasm still controls the

egg-cell, and must be removed before the germ-plasm can regulate its

development. By arguments such as these I should attempt to render the

whole subject intelligible.

But the case is entirely different with the sperm-cells, which are

generally minute: here it is quite conceivable that a ‘reducing

division’ of the nuclei may take place by an equal division of the

sperm-cells, occurring towards the end of the period of their

formation; that is to say, in such a way that both products of division

remain sperm-cells, and neither of them perishes like the polar bodies.

But the other possibility also demands consideration, viz. that the

reducing division may occur at an earlier stage in the development of

sperm-cells. At all events, the arguments adduced above, which proved

that the consequence would be a want of variability in the egg-cells,

would not apply to an equal extent in the case of the male germ-cells.

Among the egg-cells it may be very important that each one should have

its special individual character, produced by a somewhat different

composition of its germ-plasm, inasmuch as a considerable proportion of

the eggs frequently developes, although this is never the case with all

of them. But the production of sperm-cells is in most animals so

enormous that only a very small percentage can be used for

fertilization. If, therefore, e. g. ten or a hundred spermatozoa

contained germ-plasm with exactly the same composition, so that, as far

as the paternal influence is concerned, ten or a hundred identical

individuals would result if they were all used in fertilization, such

an arrangement would be practically harmless, for only one spermatozoon

out of an immense number would be employed for this purpose. From this

point of view we might expect that the ‘reducing division’ of the

sperm-nucleus would not take place at the end of the development of the

sperm-cell, but at some earlier period. There is no necessary reason

for the assumption that this division must take place at the end of

development, and without some cause natural selection cannot operate.

It is, of course, conceivable that the causes of other events may also

involve the occurrence of this division at the end of development; but

we do not at present know of any such causes. I should not consider the

influence of the specific histogenetic nucleoplasm, i.e. the

spermatogenetic nucleoplasm, to be such a cause, because the

quantitative proportions are very different from those which obtain in

the formation of egg-cells, and because it is not inconceivable that

the small quantity of true germ-plasm which must be present in the

nuclei of the sperm-cells at every stage in their formation might enter

upon a ‘reducing division’ with the spermatogenetic nucleoplasm, even

when the latter preponderated.

As soon as we can recognize with certainty the forms of nuclear

division which are ‘reducing divisions,’ the question will be settled

as far as spermatogenesis is concerned. It has been already established

that various forms of nuclear division occur at different periods of

spermatogenesis. I make this assertion, not only from my own

observations, but also from observations which have been made and

insisted upon by others. Thus, van Beneden and Julin[266] stated in

1884 that direct and karyokinetic nuclear divisions alternate with each

other in the spermatogenesis of _Ascaris megalocephala_. Again,

Carnoy[267] distinctly states that the different cell-generations in

the same testis may not uncommonly exhibit considerable differences as

regards karyokinesis. ‘This may go so far that direct and indirect

division may proceed simultaneously.’ Platner[268], in his excellent

paper on karyokinesis in Lepidoptera, also points out that the

karyokinesis of the spermatocytes is essentially different from that of

the spermatogonia. According to his description, the latter form may be

very well interpreted as a ‘reducing division,’ for no equatorial plate

is formed, and the chromatin rods (or granules, as they are better

called in this case) remain from the first on both sides of the

equatorial plane, and finally unite at the opposite poles to form the

two daughter-nuclei. Furthermore, if Carnoy has correctly observed, the

form of karyokinesis which I have previously interpreted as a ‘reducing

division’ occurs in the sperm-mother-cells—a karyokinesis in which the

chromatin rods either do not divide longitudinally, or else divide in

this way after they have left the equatorial plate and are proceeding

towards the poles. Carnoy does not himself attach any special

importance to these observations, for he only considers them as proofs

that the longitudinal splitting of the loops may occur at various

periods in different species—either at the equator, or on the way

towards the poles, or even at the poles themselves. We cannot conclude

from the author’s statements whether this form of nuclear division only

occurs in a single cell-generation during spermatogenesis, as it must

do if it really represents a ‘reducing division.’ Until this point is

settled, we cannot decide with certainty whether the described form of

karyokinesis is to be considered as the ‘reducing division’ for which

we are seeking. Fresh investigations, undertaken from these points of

view, are necessary in order to settle the question. It would be

useless to seek further support for the theory by going into further

details, and by critically examining the numerous observations upon

spermatogenesis which have now been recorded.

I will only mention that among the various nuclei and other bodies in

different animals which have been considered by different observers as

the polar bodies of the sperm-cells, or the cells which form the

latter—in my opinion the paranucleus (‘Nebenkern’) of the ‘spermatides’

described by La Valette St. George[269] has the highest claim to be

considered as the homologue of a polar body. But I am inclined to

identify it with the first rather than the second polar body of the

egg-cells, and to regard it as the histogenetic part of the nucleoplasm

which has been expelled or rendered powerless by internal

transformations. There are two reasons which lead me to this

conclusion: first, as I have tried to show above, it is probable that

the ancestral germ-plasms are not removed by expulsion, but by means of

equal cell-division; secondly, my theory asserts that the histogenetic

nucleoplasm cannot be rendered powerless until the close of

histological differentiation.

The whole question of the details of the transformations undergone by

the nucleus of the male germ-cells is not ready for the expression of a

mature opinion. From the very numerous and mostly minute and careful

observations which have been hitherto recorded, we cannot conclude with

any degree of certainty when and how the ‘reducing division’ of the

nucleus takes place, nor can we decide upon the processes which signify

the purification of the germ-plasm from the merely histogenetic part of

the nucleoplasm. But perhaps it has not been without value as regards

future investigation that I have tried to apply to the male germ-cells

the views gained from our more certain knowledge of the corresponding

structures in the female, and thus to indicate the problems which now

chiefly demand solution.

IV. THE FOREGOING CONSIDERATIONS APPLIED TO PLANTS.

It remains to briefly consider the case of plants. Obviously, the

‘reducing division’ of the germ-nuclei, if it takes place at all,

cannot be restricted to the germ-cells of animals. There must be a

corresponding process in plants, for sexual reproduction is essentially

the same in both kingdoms; and if fertilization must be preceded by the

expulsion of half the number of ancestral germ-plasms from the eggs of

animals, the same necessity must hold in the case of plants.

But whether the process always takes place in the form of polar bodies,

and not perhaps principally, or at any rate frequently, in the form of

equal cell-division, is another question. It is true that polar bodies

occur in numerous plants, as we chiefly know from Strasburger’s

researches[270]. Strasburger shows that cells are separated by division

from the germ-cells, and perish. But it seems to me doubtful whether we

must always regard their formation as the removal of half the number of

ancestral germ-plasms rather than the histogenetic nucleoplasm of the

germ-cell. It appears to me that histogenetic nucleoplasm must be

present in the highly differentiated vegetable germ-cells, especially

in the male cells, and also that it must be removed during the

maturation of the cell, if my idea of the histogenetic nucleoplasm be

accepted. It is very possible, as I have already mentioned, that there

may be quite indifferent germ-cells, viz. cells which are entirely

without specific histological structure, and in such cases histogenetic

nucleoplasm would be absent; and during the maturation of such

germ-cells no polar body would be formed for its removal. This view

accords with the fact that polar bodies are absent in many plants.

Furthermore, I am far from maintaining that in the cases where polar

bodies occur, they must have the above-mentioned significance. I only

wish to point out that the reduction assumed to be necessary for the

nucleus of the vegetable germ-cells is not necessarily to be sought for

at the close of their maturation, but perhaps even more frequently in

an equal division of the germ-cells during some period of their

development.

It also seems to me to be not impossible that a number of these

vegetative ‘polar bodies’ may have an entirely different significance,

viz. to perform some special function accessory to fertilization, as in

the so-called ‘ventral canal-cells’ of the higher cryptogams and

conifers. As we know that even the two polar bodies of the animal egg

are not identical—although externally they are extremely similar, and

although they arise in a precisely similar manner—I am even more

inclined than before to consider that the very various ‘polar bodies’

of plants possess very different meanings.

But I do not feel justified in criticizing in detail the results of

botanical investigation. I must leave the decision of such questions to

botanists, and I only desire to state distinctly that a ‘reducing

division’ of the nuclei of germ-cells must occur in plants as well as

in animals.

V. CONCLUSIONS WITH REGARD TO HEREDITY.

The ideas developed in the preceding paragraphs lead to remarkable

conclusions with regard to the theory of heredity,—conclusions which do

not harmonize with the ideas on this subject which have been hitherto

received. For if every egg expels half the number of its ancestral

germ-plasms during maturation, the germ-cells of the same mother cannot

contain the same hereditary tendencies, unless of course we make the

supposition that corresponding ancestral germ-plasms are retained by

all eggs—a supposition which cannot be sustained. For when we consider

how numerous are the ancestral germ-plasms which must be contained in

each nucleus, and further how improbable it is that they are arranged

in precisely the same manner in all germ-cells, and finally how

incredible it is that the nuclear thread should always be divided in

exactly the same place to form corresponding loops or rods,—we are

driven to the conclusion that it is quite impossible for the ‘reducing

division’ of the nucleus to take place in an identical manner in all

the germ-cells of a single ovary, so that the same ancestral

germ-plasms would always be removed in the polar bodies. But if one

group of ancestral germ-plasms is expelled from one egg, and a

different group from another egg, it follows that no two eggs can be

exactly alike as regards their contained hereditary tendencies: they

must all differ. In many cases the differences will only be slight,

that is, when the eggs contain very similar combinations of ancestral

germ-plasms. Under other circumstances the differences will be very

great, viz. when the combinations of ancestral germ-plasms retained in

the egg are very different. I might here mention various other

considerations; but this would lead me too far from my subject, into

new theories of heredity. I hope to be able at some later period to

develope further the theoretical ideas which are merely indicated in

the present essay. I only wish to show that the consequences which

follow from my theory upon the second division of the egg-nucleus, and

the formation of the second polar body, are by no means opposed to the

facts of heredity, and even explain them better than has hitherto been

possible.

The fact that the children of the same parents are never entirely

identical could hitherto only be rendered intelligible by the vague

suggestion that the hereditary tendencies of the grandfather

predominate in one, and those of the grandmother in another, while the

tendencies of the great-grandfather predominate in a third, and so on.

Any further explanation as to why this should happen was entirely

wanting. Others even looked for an explanation to the different

influences of nutrition, to which it is perfectly true that the egg is

subjected in the ovary during its later development, according to its

position and immediate surroundings. I had myself referred to these

influences as a partial explanation[271], before I recognized clearly

how extremely feeble and powerless are the influences of nourishment,

as compared with hereditary tendencies. According to my theory, the

differences between the children of the same parents become

intelligible in a simple manner from the fact that each maternal

germ-cell (I shall speak of the paternal germ-cells later on) contains

a peculiar combination of ancestral germ-plasms, and thus also a

peculiar combination of hereditary tendencies. These latter by their

co-operation also produce a different result in each case, viz. the

offspring, which are characterized by more or less pronounced

individual peculiarities.

But the theory which explains individual differences by referring to

the inequality of germ-cells, may be proved with a high degree of

probability by an appeal to facts of an opposite kind, viz. by showing

that identity between offspring only occurs when they have arisen from

the same egg-cell. It is well known that occasionally some of the

children of the same parents appear to be almost exactly alike, but

such children are without exception twins, and there is every reason to

believe that they have been derived from the _same_ egg. In other

words, the two children are exactly alike because they have arisen from

the same egg-cell, which could of course only contain a single

combination of ancestral germ-plasms, and therefore of hereditary

tendencies[272]. The factors which by their co-operation controlled the

construction of the organism were the same, and consequently the

results were also the same. Twins derived from a single egg are

identical: this is a statement which, although not mathematically

proved, may be looked upon as nearly certain. But there are also twins

which do not possess this high degree of similarity, and these are even

far commoner than the others. The explanation is to be found in the

fact that the latter were derived from two egg-cells which were

fertilized at the same time. In most cases, indeed, each twin is

enclosed in its own embryonic membranes, while much less frequently

both twins are enclosed in the same membranes. In one point only the

proof is incomplete; for it has not yet been shown that identical twins

are always derived from a single egg, since such an origin, together

with a high degree of similarity, could only be established as

occurring together in a small proportion of the cases. We therefore see

that under conditions of nutriment which are as identical as possible,

_two_ egg-cells develope into unlike twins, _one_ into identical twins;

although we cannot yet affirm that the latter result invariably

follows. It is conceivable that the stimulus for the production of two

eggs from one may be afforded by the entrance of two spermatozoa, but

these latter, as was shown above, could hardly contain identical

hereditary tendencies, and thus two identical twins would not arise. It

appears indeed that some cases have been observed in which differences

have been exhibited by twins which were enclosed in the same embryonic

membranes; but nevertheless I believe that two spermatozoa are not

necessary to cause the formation of twins by a single egg. We know, it

is true, from the investigations of Fol[273], that multiple

impregnation produces the simultaneous beginning of several embryos in

the eggs of star-fishes. But several embryos and young animals are not

developed in this way, for embryonic development soon ceases, and the

egg dies.

The recent observations of Born[274] upon the eggs of the frog also

make it very probable that a double development is produced by the

entrance of two spermatozoa into the egg, but here also only

monstrosities, and not twins, were produced. On the other hand, it has

been shown that in birds twins may be produced from the same egg, and

there is no reason for the belief that their production is due to

multiple impregnation. But if it may be assumed that human twins, when

identical, have been derived from a single egg, it seems to me to be

extremely probable that fertilization was also effected by a single

sperm-cell. We cannot understand how such a high degree of similarity

could have been produced if two sperm-cells had been made use of, for

we are compelled to assume that two such cells would very rarely

contain identical germ-plasms.

It is most probable that the egg-nucleus coalesces with the nucleus of

a single spermatozoon, but the resulting segmentation-nucleus divides

together with the cell-body itself, without the occurrence of those

ontogenetic changes in the germ-plasm which normally take place. The

nucleoplasm of the two daughter-cells still remains in the condition of

germ-plasm, and its ontogenetic transformation begins afterwards—a

transformation which must of course proceed in the same way in both

cells, and must lead to the production of identical offspring. This is

at least a possible explanation which we may retain until it has been

either confirmed or disproved by fresh observations,—an explanation

which is moreover supported by the well-known process of budding in the

eggs of lower animals.

VI. RECAPITULATION.

To bring together shortly the results of this essay:—the fundamental

fact upon which everything else is founded is the fact that _two_ polar

bodies are expelled, as a preparation for embryonic development, from

all animal eggs which require fertilization, while only _one_ such body

is expelled from all parthenogenetic eggs.

This fact in the first place refutes every purely morphological

explanation of the process. If it were physiologically valueless, such

a phyletic reminiscence of the two successive divisions of the

egg-nucleus must have been also retained by the parthenogenetic egg.

In my opinion the expulsion of the first polar body implies the removal

of ovogenetic nucleoplasm when it has become superfluous after the

maturation of the egg has been completed. The expulsion of the second

polar body can only mean the removal of part of the germ-plasm itself,

a removal by which the number of ancestral germ-plasms is reduced to

one half. This reduction must also take place in the male germ-cells,

although we are not able to associate it confidently with any of the

histological processes of spermatogenesis which have been hitherto

observed.

Parthenogenesis takes place when the whole of the ancestral

germ-plasms, inherited from the parents, are retained in the nucleus of

the egg-cell. Development by fertilization makes it necessary that half

the number of these ancestral germ-plasms must be first expelled from

the egg, the original quantity being again restored by the addition of

the sperm-nucleus to the remaining half.

In both cases the beginning of embryogenesis depends upon the presence

of a certain, and in both cases equal, quantity of germ-plasm. This

certain quantity is produced by the addition of the sperm-nucleus to

the egg requiring fertilization, and the beginning of embryogenesis

immediately follows fertilization. The parthenogenetic egg contains

within itself the necessary quantity of germ-plasm, and the latter

enters upon active development as soon as the single polar body has

removed the ovogenetic nucleoplasm. The question which I have raised on

a previous occasion—‘When is the parthenogenetic egg capable of

development?’—now admits of the precise answer—‘Immediately after the

expulsion of the polar body.’

From the preceding facts and considerations the important conclusion

results that the germ-cells of any individual do not contain the same

hereditary tendencies, but are all different, in that no two of them

contain exactly the same combinations of hereditary tendencies. On this

fact the well-known differences between the children of the same

parents depend.

But the deeper meaning of this arrangement must doubtless be sought for

in the individual variability which is thus continuously kept up and is

always being forced into new combinations. Thus sexual reproduction is

to be explained as an arrangement which ensures an ever-varying supply

of individual differences.

------------------------------------------------------------------------

Footnotes for Essay VI.

Footnote 234:

See Berichten der Naturforschenden Gesellschaft zu Freiburg i. B.,

Band III. (1887) Heft I, ‘Ueber die Bildung der Richtungskörper bei

thierischen Eiern,’ by August Weismann and C. Ischikawa.

Footnote 235:

Vol. I. p. 60.

Footnote 236:

The most recent example of this kind is afforded by the excellent

work of O. Schultze, ‘Ueber die Reifung und Befruchtung des

Amphibieneies,’ Zeitschr. f. wiss. Zool., Bd. XLV. 1887. Schultze has

proved that two polar bodies are expelled from the egg of the Axolotl

and of the frog, although all previous observers, including O.

Hertwig, had been unable to find them. Thus the latter authority

states as the result of an investigation specially directed towards

this point, that the nucleus is transformed in a peculiar manner

(‘Befruchtung des thierischen Eies,’ III. p. 81).

Footnote 237:

O. Hertwig, ‘Beiträge zur Kenntniss der Bildung, Befruchtung, und

Theilung des thierischen Eies,’ Morpholog. Jahrbuch, I, II, and III.

1875-77.

Footnote 238:

H. Fol, ‘Recherches sur la fécondation et le commencement de

l’hénogénie chez divers animaux.’ Genève, Bâle, Lyon, 1879.

Footnote 239:

Bütschli, ‘Entwicklungsgeschichtliche Beiträge,’ Zeitschr. f. wiss.

Zool. Bd. XXIX. p. 237. 1877.

Footnote 240:

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