But I do not regard this amphimixis as the real root of variation

itself, for that must depend not on a mere exchange of ids, but rather

upon a variation of the ids. The ids of a worm of the primitive

world could not without variation now make up the germ-plasm of an

elephant, even if it be true that mammals are descended from worms.

The ids must have been meanwhile transformed times without number by

the modification, degeneration, and new formation of determinants.

Amphimixis, that is, the union of two germ-plasms, does not of itself

cause variation of the determinants, it only arranges the ids (the

ancestral plasms) in ever-new combinations. If the origin of variation

were limited to that alone, a transmutation of species and genera

would only be possible on a very limited scale; there could at most be

a narrow circle of variations, just as in the example already given

of the packs of cards; even if the taking away and mixing up of the

halves were repeated a thousand times, a definite though undoubtedly

large number of card-combinations would in the long run recur again and

again. But the case is different with the germ-plasm and amphimixis,

where there is an infinitely more varied series of results, because

the individual cards--the ids--are variable, even between one time of

sifting and shuffling and another, and therefore infinitely productive

of variety in the course of numerous repetitions of the shuffling.

I have been frequently and persistently credited with maintaining that

the germ-plasm is invariable--a misunderstanding of my position, due

perhaps to a somewhat too brief and terse statement which I made at an

earlier period (1886). I had described the germ-plasm as 'a substance

of great power of persistence,' and as varying with difficulty and

slowly, basing this statement upon the age-long persistence of many

species in which the specific constitution of the germ-plasm must have

remained unchanged. The idea of 'germinal selection,' of a ceaseless

struggle between the 'primary constituents' of the germ, and of

the resulting continual slight and invisible rising and falling of

individual characters, had not yet dawned upon me, nor had I at that

time formulated the conception of 'determinants.' I was even doubtful

at that time whether development, heredity, and variation were not

interpretable on the assumption of an undifferentiated substance

without primary constituents. But at no time was I unaware that the

whole phyletic evolution of the organic world is only conceivable

on the assumption of continual variation of the germ-plasm, that it

actually depends upon this, even if these variations come about with

exceeding slowness, and are thus in a certain sense 'difficult.'

Now that I understand these processes more clearly, my opinion is

that the roots of all heritable variation lie in the germ-plasm,

and furthermore, that the determinants are continually oscillating

hither and thither in response to very minute nutritive changes, and

are readily compelled to _variation in a definite direction_, which

may ultimately lead to considerable variations in the structure of

the species, if they are favoured by personal selection, or at least

if they are not suppressed by it as prejudicial. But selection is

continually keeping watch over both kinds of variation, and if the

conditions of life do not further the variation or do not even allow it

to persist, selection eliminates everything that lessens the purity of

the specific type, everything that transgresses the limits of utility,

or that might endanger the existence of the species. Thus we understand

how the germ-plasm may be variable, and yet at the same time remain

unvaried for thousands of years, how it is ready and able to furnish

any variation that is possible in a species if that is required by

external circumstances, and yet is able to preserve the characters of

the species in almost absolute constancy through whole geological ages;

in short, how it can be at once readily variable and yet slow to vary.

The importance which amphimixis thus has in connexion with the

adaptation of organisms lies, if I mistake not, in the necessity

for co-adaptation, that is, in the fact that in almost all

adaptations it is not merely a question of the variation of a single

determinant, but of the correlated variations of many--often very

numerous--determinants, of 'harmonious adaptation,' as we have already

said. Many-sided adaptation of this kind seems to me impossible without

a continually recurrent sifting and recombining of the germ-plasms, and

this can only be effected by amphimixis.

It may be objected that, apart from amphimixis, variation can be

brought about in many parts of an organism, as in purely asexual

reproduction. A plant, for instance, may vary when it is transferred

to a strange soil or climate; and even in that case the variations

seem to be harmonious, at least the harmony of the parts is so far

maintained that the plant continues to flourish, at any rate under

cultivation. A plant species may be incited by abundant nourishment

to gigantic growth, and caused to vary in many of its parts, and the

abundant food may even directly affect the germ-plasm so that all or

some of these variations may become hereditary; and yet this is far

from being a case of adaptation, it is merely a case of simultaneous

variations, and it is questionable whether they will make the continued

existence of the plant under the new conditions possible or not. It

might easily happen, for instance, that the plant, though it became

larger and bore more abundant blossoms, would be sterile, and therefore

unfitted for continued existence in a natural state. Variations are not

necessarily adaptations; the latter can never come about solely through

direct influence upon the germ-plasm. What direct influence upon the

germ-plasm could, for instance, make the hind-legs of a mammal long and

strong and the fore-legs short and weak? Obviously neither an increase

nor decrease in the food-supply, nor a higher or lower temperature--in

short, no direct influence, because all these affect the germ-plasm as

a whole, and therefore cannot possibly influence two homologous groups

of determinants in opposite directions.

This, it seems to me, is only possible when amphimixis brings about

in one individual a favourable coincidence of the chance germinal

variations of the determinants of the fore- and hind-limbs; and just

as it is with the two variations in this simple hypothetical case,

so it will be in the actual processes of adaptation where there are

involved numerous--we know not how numerous--variations essential to a

'harmonious adaptation.'

It need not be objected that the very number of variations necessary to

a 'harmonious adaptation' makes its occurrence impracticable; for it

is _the complete_ harmony of the parts that makes the adaptation, and

without this the individual was only imperfectly adapted, and therefore

incapable of survival. It is certainly not mathematically demonstrable

that this is the case, but as the whole process of transformation which

makes an old adaptation into a new one begins with minimal fluctuations

of the determinants, which must first be brought by germinal selection

to the level of selection-value, and must then be subject to personal

selection, so the whole process goes on so gradually and by such

small steps that the harmony of the parts is maintained by functional

adaptation during the individual life in a great number of individuals.

But these are just the individuals which survive in the struggle for

existence, and at the same time possess at every stage of the process

_the best combination of favourably varying determinants_. As these

favourable variations are, in consequence of germinal selection, not

mere isolated variations of fluctuating importance, but variations in

a _definite direction_, the whole process of variation must persist

in every single part in the direction imposed upon it by personal

selection. But since at every reducing division the ids of the

germ-cells are brought down to half their number, a possibility is

offered for gradually removing the unfavourable ids from the germ-plasm

of the species, since the descendants resulting from the most

unfavourable id-combinations always perish, and so from generation to

generation the germ-plasm gets rid of its unfavourably varying ids, and

the most propitious combinations afforded by amphimixis are preserved,

till ultimately there remain only those combinations which are varying

appropriately, or at least only those in which the appropriately

varying determinants are in the majority, and so have controlling

influence.

Logically this deduction is undoubtedly indisputable, from the

standpoint of the germ-plasm theory; but whether it may be regarded as

a sufficient reason for the introduction of amphimixis, and for its

extremely tenacious persistence throughout the course of the long and

intricate phylogeny, cannot be maintained without special investigation.

Against my position the objection has often been urged that an

arrangement cannot arise or be maintained through natural selection

unless it is _of direct use_ to the individual in which it occurs.

Sexual reproduction cannot therefore have been established simply

because it advances, or even because it makes possible the adaptations

of species, for these adaptations only came about occasionally, perhaps

once in a thousand generations or even less frequently; thus the

intervening generations could derive no advantage of any kind from the

arrangement in question, and therefore, according to the law of the

degeneration of unused characters, it must have long since been lost. I

mentioned this objection before, but was obliged to postpone a detailed

consideration of it until we had discussed germinal selection.

We admit, of course, that characters are only preserved intact as

long as they are of advantage sufficient to turn the scale in favour

of their possessors, and that they begin to fall from their height of

perfection when that is no longer the case; we admit also that new

adaptations are not continually necessary, but are so only at intervals

of long series of generations, and yet the objection cited seems to me

baseless.

Leaving out of account, for the moment, the first introduction of

amphimixis, let us deal with it as an existing occurrence, for the

tenacious persistence of which we wish to find reasons.

Is it really the case that amphimixis is only of importance in

connexion with the new adaptation of a species, and that it has nothing

to do with the persistence of the species in the state of adaptation

already attained? According to the conception of the processes within

the germ-plasm which we have already stated, it is impossible that this

should be the case, for continual slight fluctuations are occurring in

the determinants in consequence of the fluctuations of the nutritive

stream, and these slight variations, plus or minus, do not in many

cases equalize one another or counteract one another by turning again

in a contrary direction; they go on increasing in the direction in

which they have begun. It is only when personal selection opposes them

that they come to a standstill, and this can only happen when they

attain to selection-value, that is to say, when they reach a level at

which they become disadvantageous in the struggle of persons. But as

germinal variations of this kind are continually occurring, personal

selection must keep continual watch over them, and eradicate them as

soon as they have attained selection-value.

Therefore, when a species is most perfectly adapted to its conditions,

it would of necessity begin to degenerate if personal selection were

not continually guarding it, and setting aside everything that is in

excess or deficient as soon as it begins to be prejudicial. But the

adaptation of a species does not depend upon _one_ character persisting

at its normal level, but on the persistence of very many, and many of

these vary simultaneously upwards or downwards, and reach the limit of

selection-value at one time or another. If there were no amphimixis,

then either all individuals with any excessive variant would be at

once eliminated, or the species would go on deteriorating until this

excessive variant was so numerously and strongly represented in all

its individuals that it would perish through degeneration. But even

in the first of these cases the species would drift towards the fate

of extinction, because excessive variations do occur even in every

asexual generation, and would appear in an increasingly large number

of determinants if there were no possibility of rejecting them and

eliminating them from the lineage of the species.

This is made possible through the periodic intervention of amphimixis;

it is actually effected thereby; and in this way alone the species

is kept at its high-water mark of adaptation. It is not necessary

to assume that every single determinant which is varying in an

unfavourable direction is at once eliminated as soon as it becomes

prejudicial, that is, reaches negative selection-value, or--to make

use of an expression introduced by Ammon--as soon as it oversteps the

boundaries of the 'playground of variations,' the limits within which

variations are neither favourable nor unfavourable. But _in the course

of generations_ they are unfailingly eliminated, especially when a

large number of unfavourably varying determinants are coincident in

the germ-plasm. Then the individuals which arise from a germ-plasm

thus composed must perish in the struggle for existence, and thus the

id-combinations with excessive determinants are eliminated from the

germinal constitution of the species. As this is repeated as often as

excesses of the ids occur, the species is kept pure.

It might be objected that, through such a continual weeding-out of

rebellious determinants, the germ-plasm would become so constant in

its constitution that it would ultimately be secure from all such

aberrations of it on the part of its determinants, and therefore would

in time become quite incapable of diverging from its proper path at

all, and would thus no longer require this continual correction through

amphimixis.

I do not wish to contradict this conclusion; indeed, I believe that the

constitution of the species becomes more and more constant in the way

I have indicated, and that an ever more perfect and stable equilibrium

of the whole determinant system is thus brought about. It follows that

in the course of generations the diverse determinants of the germ-plasm

will vary within a progressively shortened radius, and will thus more

and more rarely overstep the limits of the 'variation-playground'--and

yet I still believe that this justifiable conclusion tells in favour of

my interpretation of the utility of the persistence of amphigony once

introduced.

Let it be remarked, in the first place, that it is by no means

essential to the preservation of a useful institution that it should

practically justify its utility in _every_ generation. Although, for

instance, the warm winter coat of a species of mammal may be necessary

to its survival, it does not disappear at once when a winter happens

to occur which is so warm that even individuals with poor pellage can

survive. Indeed, several such mild winters might occur in succession,

in which there was no weeding-out of the individuals with poor fur, and

yet the thickness of the winter fur of the species would not become

less fixed, just because this character no longer varies perceptibly

in an old-established species which has long been perfectly adapted,

and it could only be brought into a state of marked fluctuation very

slowly through direct influence on the germ-plasm, or through panmixia.

But exactly the same thing is true in regard to the determinants of the

reproductive cells, in respect of their adaptation to amphimixis, only

very much more emphatically.

Before going further, I should like to show that the conclusion

we have just deduced from the theory, namely, that the equilibrium

of the determinant system of a species increases in stability with

the duration of its persistence, holds good not only for the whole

system, but for its individual parts, that is, for the individual

characters and adaptations. Experience teaches that characters are the

more exactly and constantly transmitted the older they are; generic

characters are more constant than species-characters, order-characters

more persistent than family-characters--this is implied even in their

name. But we are able to show even in relation to the characters of

a species that those which have been fixed for a long time are most

precisely and purely transmitted; that is, that their determinants are

least inclined to overstep the limits of the 'variation-playground'

either in an upward or downward direction.

Two groups of facts prove this: first the observed fact that the very

different degree of variability which the different species exhibit is

by no means common to all the characters of the species in the same

measure; for individual characters may be variable or constant in very

different degrees.

Many years ago[21] I drew attention to the fact that the different

stages in the life-history of insects, especially of Lepidoptera,

might be variable in quite different degrees. Thus, for instance,

the caterpillar might be very variable, and yet the butterfly which

arises from it might be extremely constant. I concluded from this--what

probably no one now will dispute--that the various stages may vary

phyletically independently of one another, that, for instance, the

caterpillar may adapt itself to a new manner of life, a new food-plant,

a new means of defence, while the butterfly, unaffected by this, goes

on quietly as it was before. Every new adaptation necessarily implies

variability, and so the stage which is in process of transformation

must have its period of variability, which gradually returns again to

greater constancy, and this the more completely the longer the series

of generations through which the weeding out of the less well-adapted

has endured.

[21] _Studien zur Descendenztheorie_, Leipzig, 1876.

But it is not only the individual stages of development that may be

unequally variable; the same is true of the characters of a species

which occur simultaneously. The most striking example of this known to

me is the leaf-butterfly, which I have already mentioned many times

in the course of these lectures--the Indian _Kallima paralecta_.

In this species the brown and red upper surface is almost alike in

colour and marking in all individuals, but the under surface, the

colour and marking of which is so deceptively mimetic of a leaf, is

variable to such a degree that it is difficult, among a large number

of specimens, to find even a few which are as like one another as are

the members of species in which the under side is constant. It need

not be urged that this is due to the complexity of the marking on the

under side. In many of our indigenous butterflies the under side is

just as complex in coloration and marking, and nevertheless it is very

constant, being almost identical in all individuals, as for instance

in _Vanessa cardui_. In _Kallima_ the great variability of the under

surface certainly depends not merely on the fact that the mimetic

character has been only recently acquired (phyletically speaking), but

chiefly on the fact that the dead leaves to which they approximate are

themselves very diverse in appearance, for many are dry, others moist

and covered with mould, and that the adaptations have therefore gone in

different directions, and as yet, at least, have neither combined to

form a single constant type, nor diverged to form two or three distinct

types. The various 'leaf-pictures' seem equally effective in concealing

the insects from their enemies, and thus there is still a continual

crossing and mingling of the different essays at leaf-picturing.

A second group of facts, which indicates that old-established

characters have less tendency to overstep the limits of the neutral

'variation-playground,' is to be found in the experience of breeders,

and especially that of gardeners who have brought wild plants under

cultivation in order to procure varieties.

It has been proved that the wild plants often exhibit no hereditary

variations for a long series of generations, notwithstanding the

greatly altered conditions of life, but that then a moment comes in

which isolated variations crop up, which may then be intensified by

the manipulations of the breeder to form sport-species with large

conspicuously coloured flowers, or with some other distinctive

character. Darwin called this a shattering of the constitution of the

plant; but the stable and slowly varying 'constitution' simply means

that in old-established and well-adapted species the determinants

possess only a very restricted 'variation-playground,' and because of

their firmly based harmonious correlation are not easily and never very

quickly induced to overstep its limits in any marked degree.

Let us now apply all this to the institution of amphimixis and

amphigony, and it is immediately obvious that these determinants of the

germ-plasm which control the characters relating to sexual reproduction

must be _more stable and less variable than all others which a species

possesses, for they are infinitely older_. They are older than all

species-characters, older than the characters of the genus, of the

family, of the class, and indeed of the whole series or phylum to

which a higher animal, a vertebrate, for instance, belongs. We cannot

wonder, therefore, that amphigony has persisted through hundreds and

thousands of generations, even if it had not been reinforced in the

germ-plasm during this period by selection. We should rather wonder

that an institution so primaeval, and so firmly engrained in the

germ-plasm, can ever be departed from, even when its abandonment is to

the advantage of the species, as has happened in parthenogenesis.

I have entered upon this long discussion because I believe that we

require to appreciate this power of persistence on the part of the

sexual determinants before we can explain the general occurrence of

amphigony. The occurrence of pure parthenogenesis, unaccompanied by

any degeneration of the species, can hardly be understood except on

the assumption that the constancy of the species, when it has once

been attained, may be preserved without the continual intervention of

amphimixis. How long it can be preserved is another question, which it

is difficult or impossible to answer, since species exhibiting _pure_

parthenogenesis are rare, and since we cannot tell with certainty

how long it is since amphimixis ceased to occur in them. Generally

speaking, the answer in regard to the few species which have to be

taken into account in this connexion would be 'not long,' but whether

this 'not long' signifies hundreds of generations or thousands of

generations we must leave undecided. So much only we can say, that

in all species of animals in which the male sex has quite died out

or has dwindled to a minimal remnant, there are as yet no traces of

degeneration to be found, and that even organs which have fallen into

disuse and become functionless because amphigony has disappeared, are

nevertheless in several cases retained in perfect completeness. I shall

return to this subject later on, but in the meantime I wish to work

out our conception of the actual efficacy of amphigony or ordinary

sexual reproduction, and thereby increase our understanding of its

significance and power of persistence.

We have seen that amphigony not only renders possible the novel

'harmonious adaptations' which are continually required, but that it

also leads, by a continual crossing of individuals, simultaneously with

the elimination of the less fit, to a gradually increasing constancy of

the species. This has been regarded by some writers as its sole effect;

thus recently by Hatschek, whose view has already been refuted.

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