Among pigeons, as well as among other domesticated animals, some

changes have been brought about, which are not only of no use to their

possessors, but would be actually disadvantageous if they were living

under natural conditions. Some of the very short-billed breeds of

pigeons have the bill so short and soft that the young can no longer

use it to scratch and break the egg-shell, and would perish miserably

if human aid were not at hand. The Yorkshire pig has become such a

colossus of fat on weak, short legs, that if it were dependent on

its own resources, it could not secure its food, much less escape

from a beast of prey; and among horses the heavy cart-horse and the

racer are alike unfit to cope with the dangers of a wild life, or the

vicissitudes of weather.

Breeding has done much to bring about variations useful to man. Thus we

have breeds of cattle which excel in flesh, or in milk, or as draught

animals, and sheep which excel in flesh or in wool, and to what a

height the perfecting of a useful quality can be brought is shown, in

regard to fineness of wool, by that finest breed of sheep, the merino,

which instead of the 5,500 hairs borne by the old German sheep on a

square inch, possesses 48,000.

Not infrequently it is a particular stage of a species that has

been bred by man, and the other stages have remained more or less

unaltered. Thus it is with one of the few domesticated insects, the

silk-moth. Only the cocoon is of use to man, and according to the

cocoon different breeds are distinguished, differing in fineness,

colour, &c.; but no breeds can be distinguished in reference to the

larvæ, or the perfect insects. Among gooseberries there are about a

hundred varieties distinguished according to the form, colour, size,

thickness of skin, hairiness, &c., of the fruits, but the little,

inconspicuous, green blossoms, of which the breeders take no account,

are alike in them all. In the pansies (_Viola tricolor_), on the other

hand, it is only by the flowers that the varieties are distinguished,

while the seeds have remained alike in all.

It may be asked how it could have occurred to any one, when pigeons,

for instance, first began to be domesticated, to wish to produce

fantails or pouters, since he could have no mental picture of them

in advance. Darwin replies to this objection, that it was not always

conscious and methodical artificial selection, such as is now

practised, that brought about the origin of breeds, but that they have

very often resulted, and at first perhaps always, from unconscious

selection. When savages tamed a dog, they used the 'best' of their dogs

for breeding, that is, they chose those which had in the highest degree

the qualities they valued, watchfulness, for instance, or if the dog

were intended for the chase, keen scent and swiftness. In this way the

body of the animal would be changed in a definite direction, especially

if rivalry helped, and if it was the ambition of each to possess a

dog as good as, or better than those of his tribal companions. That

perfectly definite changes in bodily form can thus be brought about

unconsciously is well illustrated by the case of a racehorse. This has

arisen within the last two hundred years simply because the fleetest

of the products of crossing between the Arab and the English horse

were always chosen for breeding. It could not have been predicted that

horses with thin neck, small head, long rump, and slender legs would

necessarily be the swiftest runners; but this is the form which has

resulted from the selection,--a very ugly, but very swift horse. This

unconscious selection must undoubtedly have played a large part in the

early stages of the evolution of the breeds of our domestic animals.

But even in the fully conscious and methodical selective breeding of

particular characters, the breeder rarely alters only the one his

attention is fixed on; generally quite a number of other characters

alter apart from his intention as an inevitable accompaniment of the

desired variation on which attention was riveted. There are breeds

of rabbits whose ears hang limply down instead of standing erect,

and in these so-called lop-eared rabbits the ear-muscles are partly

degenerated, and as a consequence of this lack of muscular strain the

skull has assumed another form. Thus the variation of one part may

influence the development of a second and a third organ, and may even

not stop there, for very often the influence has penetrated much deeper

and affected quite remote parts of the body.

If any one were to succeed in adding a heavy pair of horns to a breed

of hornless sheep, there would run parallel with the course of this

variation, which was directly aimed at, a long series of secondary

changes which would affect at least the whole of the anterior half of

the body; the skull would become thicker and stronger to support the

weight of the heavy horns; the neck-tendon (_ligamentum nuchæ_) would

have to become thicker to hold up the heavy head, and so also with the

muscles of the neck; the spinous processes of the cervical and dorsal

vertebrae would become longer and stronger, and the forelegs, too,

would need to adapt themselves to the heavier burden. Every organism

thus resembles, as it were, a mosaic, out of which no individual group

of pieces can be taken and replaced by another without in some measure

disturbing the correlation and harmony of the whole: in order to

restore this, the pieces all round about the changed part must be moved

or replaced by others.

According to Darwin, it is to this correlation of parts that we must

refer the variation of other parts besides the one intentionally

altered in the course of breeding. It must be admitted that the mutual

dependence of the parts plays a very important rôle in the economy

and development of the animal body, as we shall see later, and these

connexions still remain very mysterious to us. Especially is this

the case with the connexion between the reproductive organs and the

so-called secondary sexual characters. Removal of the reproductive

organs or gonads induces, in Man, for instance, if it be effected in

youth, the persistence of the childish voice and the non-development

of the beard; in the stag the antlers do not appear, and in the cock

the comb does not develop perfectly, &c., but we are not yet able to

understand clearly why this should be so.

LECTURE III

THE DARWINIAN THEORY (_continued_)

Natural selection--Variation--Struggle for existence--Geometric ratio

of rate of increase--Normal number and ratio of elimination in a

species--Accidental causes of extinction--Dependence of the strength

of a species on enemies--Struggle for existence between individuals

of the same species--Natural selection affects all organs and

stages--Summary.

IN artificial selection, through which, with or without conscious

intention, our domesticated animals and cultivated plants have arisen,

there must obviously be three kinds of co-operative factors: first, the

_variability_ of the species; second, the capacity of the organism for

_transmitting_ its particular characters to its progeny; and third, the

_breeder_ who selects particular qualities for breeding. No one of the

factors can be dispensed with; the breeder could effect nothing, were

there not presented to him the variations of parts in the particular

direction in which he wishes them to vary; an indefinite variation,

that is, a variation not guided by selection, would never lead to the

formation of new breeds; the species would probably become in time a

motley mixture of all sorts of variations, but a breed with definite

characters, transmissible in their purity to its descendants, could

never be formed. Finally, every process of selective breeding would be

futile, if the variations which appeared could not be transmitted.

Darwin assumes that processes of transformation quite similar to those

which take place under the guidance of Man occur also in nature,

and that it is mainly these which have brought about and guided the

transformations of species which have taken place in the course of the

earth's history. This process he calls _natural selection_.

It will readily be admitted that two out of the three factors necessary

to a process of selective breeding are present also in the natural

conditions of the life of species. Variability in some degree or

other is absent from no species of animal or plant, though it may be

greater in one than in another, and it cannot be doubted that the

inborn differences which distinguish one individual from another are

capable of transmission. It is only to untrained observers that all the

individuals of a species appear alike; for instance, all garden whites,

or all the individuals of the small tortoiseshell butterfly (_Vanessa

urticæ_), or all the chaffinches. If the individuals are carefully

compared it will be recognized that, even in these relatively constant

species, no individual exactly resembles another; that even among

butterflies twenty black scales may go to form a particular spot on

the wings in one individual and thirty or twenty-five in others; that

the length of the body, the legs, the antennæ, the proboscis exhibit

minute differences; and it is probable that the same combination of

quite similar parts never occurs twice. In many animals this cannot, of

course, be proved, because our power of diagnosis is not fine enough to

be able to estimate the differences directly, and because a comparison

of measurements of all the parts in detail is not practicable. So we

may here confine ourselves to the differences in the human race, which

we can recognize with ease and certainty. Even as regards the face

alone, all men differ from one another, and, numerous and complete as

likenesses may be, it is impossible to find two human beings in which

even the characters of the face are exactly similar. Even so-called

'identical twins' can always be distinguished if they are directly

compared either in person or in a photograph, and if the rest of the

body be also taken into consideration we find numerous small, sometimes

even measurable differences.

The same is true of animals, and it is only our lack of practice

that is at fault if we frequently fail to detect their individual

differences. The Bohemian shepherds are said to know personally, and be

able to distinguish from all the rest, every sheep in their herds of

many thousands. Thus the factors of variability and transmissibility

must be granted, and it remains only to ask: Who plays the part of

selecting breeder in wild nature? The answer to this question forms

the kernel to the whole Darwinian theory, which ascribes this rôle to

the conditions of life, to definite relations of individuals to the

external influences which they meet with during the course of their

lives, and which together make up their 'struggle for existence.'

To make this idea clear I must to some extent diverge.

It is a generally observed fact that, in every species of animals

or of plants, more germs and more individuals are produced than

grow to maturity, or become capable of reproduction. Numerous young

individuals perish at an early stage, often because of unfavourable

circumstances--cold, drought, damp, or through hunger, or at the hands

of their enemies. When we ask which of the progeny perish early, and

which survive to carry on the species, we are at first sight inclined

to suppose that this is entirely a matter of chance; but this is just

what Darwin disputed. It is not chance alone, it is, above all, the

differences between individuals, which enable them to withstand adverse

circumstances better or worse, and thus decide, according to his view,

which shall perish and which shall survive. If this be so, then we

have a veritable process of selection, and one which secures that the

'best,' that is, the most capable of resistance, survive to breed,

being thus, so to speak, 'selected.'

It may be asked, however, why so many individuals must perish in youth,

and whether it could not have been arranged that all, or at least most,

should survive till they had reproduced. But this is an impossibility,

unrealizable for this among other reasons, that organisms multiply in

geometrical progression, and that their progeny would very soon exceed

the limits of computability. This does not occur, for there is a limit

set which they can in no case overstep,--which, indeed, as we shall

see, they never reach--I mean the limits of space and food-supply.

Every species, by the natural requirements of its life, is restricted

to a particular habitat, to land or to water, but most are still more

strictly limited to a definite area of the earth's surface, which alone

affords the climate suited to them, or where alone the still more

specialized conditions of their existence can be realized. Thus, for

instance, the occurrence of a particular species of plant determines

that of the animal which is dependent on it for its food-supply. If

they could multiply unchecked, that is, without the loss of many of

their progeny, every species would fill up its area of occurrence and

exhaust the whole of its food-supply, and thus bring about its own

extermination. This seems to be prevented in some way, for as a matter

of fact it does not happen.

It may, perhaps, be imagined that this might be prevented by a

regulation of the productivity of the species, and that those which

have not a large area of distribution, or can only count on a

relatively limited food-supply, have also a low rate of multiplication,

but this is not the case; even the lowest rate of multiplication would

very soon suffice to make any species fill up its whole available space

and completely exhaust its food-supply. Darwin takes as an example

the elephant, which only begins to breed at thirty years of age, and

continues to do so till about ninety, but so slowly that in these

sixty years only three pairs of young are produced. Nevertheless, in

500 years an elephant pair would be represented by fifteen millions

of descendants, if all the young survived till they were capable of

reproduction. A species of bird with a duration of life of five years,

during which it breeds four times, producing and rearing four young

each time, would in the course of fifteen years have 2,000 millions of

descendants.

Thus, although the fertility of each species is, as a matter of fact,

precisely regulated, a low rate of multiplication is not in itself

sufficient to prevent the excessive increase of any species, nor is

the quantity of the relevant food-supply. Whether this be very large

or very small, we see that in reality it is never entirely used up,

that, as a matter of fact, a much greater quantity is always left over

than has been consumed. If increase depended only on food-supply, there

would, for instance, be food enough in their tropical home for many

thousand times more elephants than actually occur; and among ourselves

the cockchafers might appear in much greater numbers than they do even

in the worst cockchafer year, for all the leaves of all the trees are

never eaten up; a great many leaves and a great many trees are left

untouched even in the years when the voracious insects are the most

numerous. Nor do the rose-aphides, notwithstanding their enormously

rapid multiplication, ever destroy all the young shoots of a rose-bush,

or all the rose-bushes of a garden, or of the whole area in which roses

grow.

At the same time it must be noted, that the number of individuals in

a species undoubtedly does bear some relation to the amount of the

food-supply available; for instance, it is very low among the large

carnivores, the lion, the eagle, and the like. In our Alps the eagles

have become rarer with the decrease of game, and where one eagle pair

make their eyrie they rule alone over a hunting territory of more than

sixty miles, a preserve on which no others of the same species are

allowed to intrude. If there were several pairs of eagles in such a

preserve, they would soon have so decimated the food-supply that they

would starve. On the other hand, numerous herbivores, e.g. chamois and

marmots, live within the bounds of the pair of eagles' hunting grounds,

since the food they require is present in enormously greater quantity.

While it is true that the number of individuals of a given species

which live in a particular area is not exactly the same year in year

out, being subject to small, and sometimes, as in the case of the

aphides and cockchafers, to very great fluctuations, nevertheless we

may assume that the _average number_ remains the same, that in the

course of a century, or, let us say, of a thousand years, the number

of mature individuals inhabiting the particular area remains the

same. This, of course, only holds true on the supposition that there

has been no great change in the external conditions of life during

this period. But before Man began to interfere with nature, these

external conditions would remain uniform for much longer periods

than we have assumed. Let us call the average number of individuals

occurring on such a uniform area, _the normal number_ of the species;

this number will be determined in the first instance by the number of

offspring that are annually brought forth, and secondly by the number

that annually perish before reaching maturity. As the fertility of

a species is a definite quantity, so also will its elimination be

definite, or, as we may say, when the normal number under uniform

conditions of life remains constant, the ratio of elimination will

also remain constant. Each species is therefore subject to a perfectly

definite ratio of elimination which remains on the average constant,

and this is the reason why a species does not multiply beyond its

normal number notwithstanding the great excess of the food-supply, and

notwithstanding the fertility which, in all species, is sufficient to

lead to boundless multiplication.

It is not difficult to calculate the ratio of elimination for a

particular species, if one knows its rate of multiplication; for if

the normal number remains constant, it follows that only two of all

the offspring which a pair brings forth in the course of its life can

attain to reproductive maturity, and that all the rest must perish.

Suppose, for instance, a pair of storks produced four young ones

annually for twenty years, of these eighty young ones which are born

within this period, on an average seventy-eight must perish, and only

two can become mature animals. If more than two attained maturity

the total number of storks would increase, and this is against the

presupposition of constancy in the normal number. It is important, in

reference to the fact on which we are now focusing our attention, that

we should consider some other illustrations from the same point of

view. The female trout yearly produces about 600 eggs; let us assume

that it remains capable of reproduction for only ten years, then the

elimination-number of the species will be 6,000 less two, that is,

5,998, for of the 6,000 eggs only two can become mature animals. But

in the majority of fishes the ratio of extermination is enormously

greater than this. Thus a female herring brings forth 40,000 eggs

annually, the duration of life is estimated at ten years, and this

means an elimination number of 400,000 less two, that is, 399,998. The

carp produces 200,000 eggs a year, and the sturgeon two millions, and

both species live long, and remain capable of reproduction for at least

fifty years. But of all the 100 million eggs which are produced by the

sturgeon, only two reach their full development and reproduce; all

others perish prematurely.

But even with these examples we have not reached the highest

elimination number, for many of the lower animals--not to speak of

many plants--produce an even greater number of offspring. Leuwenhoek

calculated the fertility of a thread-worm at sixty million eggs, and a

tape-worm produces hardly less than 100 millions.

There exists, therefore, a constant relation between fertility and the

ratio of elimination; the higher the latter is, the greater must the

former be, if the species is to survive at all. The example of the

tape-worm makes this very obvious, for here we can readily understand

why the fertility must be so enormous, as we are aware of the long

chain of chances on which the successful development of this animal

depends. The common tape-worm of Man, _Tænia solium_, does not lay

its eggs, they remain enclosed within one of the liberated joints or

'proglottides.' Only if this liberated joint or one of the embryos

within it happens to be fortuitously eaten by a pig or other mammal can

there be successful development, and even then under difficulties and

possible failures, and not right away into adult animals, but first

into microscopically minute larvæ which may bore their way into the

walls of the intestine, or, if they are fortunate enough, may get into

the blood-stream and be carried by it to a remote part of the body.

There they develop into 'measles,' the so-called bladder-worms, within

which the head of the tape-worm arises. But in order that this may

become a complete and reproductive adult worm the pig must die, and the

next step necessary is that a piece of the flesh of the infected first

host must happen to be swallowed raw by a man or other mammal! Only

then does the fortunate bladder-worm--swallowed with the flesh--attain

the goal of its life, that is, a suitable place to mature in, the

food-canal of a human being. It is obvious that countless eggs must

be lost for one that succeeds in getting through the whole course of

a development depending so greatly on chance. Hence the necessity for

such enormous productivity of eggs.

In many cases the causes of elimination, which keep a species within

due bounds, are very difficult to determine. Enemies, that is to say,

other species which use the species in question as food, play an

important rôle; often, however, the cause lies in the unfavourableness

of external conditions, in chance, which is favourable only to one

of a thousand. The oak would only require to produce one seed in

the 500 years of its life, if it were certain that that one would

grow into an oak-tree; but most of the little acorns are eaten up by

pigs, squirrels, insects, &c., before they have had time to sprout,

thousands fall on ground already thickly covered with growth where

they cannot take root, and even if they do succeed in finding an

unoccupied space in which to germinate, the young plants are still

surrounded by a thousand dangers--the possibility of being devoured by

many animals large and small, of being suffocated by the surrounding

vegetation, and so on. We can thus understand, to some extent, though

only approximately, why it is that the oak must year by year produce

thousands of seeds in order that the species may maintain its normal

number, and not be exterminated; for it is obvious that a constant,

even though slow diminution of the normal number, a regular deficit, so

to speak, can end in nothing else than the gradual extinction of the

species.

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