_The Nature of Colour._--The sensation of colour is caused by

vibrations or undulations of the ethereal medium of different

lengths and velocities. The whole body of vibrations caused by the

sun is termed radiation, or, more commonly, rays; and consists of

sets of waves which vary considerably in their dimensions and rate

of recurrence, but of which the middle portion only is capable of

exciting in us sensations of light and colour. Beginning with the

largest waves, which recur at the longest intervals, we have first

those which produce heat-sensations only; as they get smaller and

recur quicker, we perceive a dull red colour; and as the waves

increase in rapidity and diminish in size, we get successively

sensations of orange, yellow, green, blue, indigo, and violet, all

fading imperceptibly into each other. Then come more invisible

rays, of shorter wave-length and quicker recurrence, which produce,

solely or chiefly, chemical effects. The red rays, which first

become visible, have been ascertained to recur at the rate of 458

millions of millions of times in a second, the length of each wave

being ¹⁄₃₆₉₀₀th of an inch; while the violet rays, which last remain

visible, recur 727 millions of millions of times per second, and

have a wave-length of ¹⁄₆₄₅₁₆th of an inch. Although the waves recur

at different rates, they are all propagated through the ether with

the same velocity (192,000 miles per second); just as different

musical sounds, which are produced by waves of _air_ of different

lengths and rates of recurrence, travel at the same speed, so that

a tune played several hundred yards off reaches the ear in correct

time. There are, therefore, an almost infinite number of different

colour-producing undulations, and these may be combined in an almost

infinite variety of ways, so as to excite in us the sensation of

all the varied colours and tints we are capable of perceiving. When

all the different kinds of rays reach us in the proportion in which

they exist in the light of the sun, they produce the sensation of

white. If the rays which excite the sensation of any one colour are

prevented from reaching us, the remaining rays in combination produce

a sensation of colour often very far removed from white. Thus green

rays being abstracted leave purple light; blue, orange-red light;

violet, yellowish-green light, and so on. These pairs are termed

complementary colours. And if portions of differently coloured

lights are abstracted in various degrees, we have produced all

those infinite gradations of colours, and all those varied tints

and hues which are of such use to us in distinguishing external

objects, and which form one of the great charms of our existence.

Primary colours would therefore be as numerous as the different

wave-lengths of the visible radiations, if we could appreciate all

their differences; while secondary or compound colours, caused by

the simultaneous action of any combination of rays of different

wave-lengths, must be still more numerous.

In order to account for the fact that all colours appear to us to

be produced by combinations of three primary colours--red, green,

and violet--it is believed that we have three sets of nerve-fibres

in the retina, each of which is capable of being excited by all

rays, but that one set is excited most by the larger or red waves,

another by the medium or green waves, and the third set chiefly by

the violet or smallest waves of light; and when all three sets are

excited together in proper proportions we see white. This view is

supported by the phenomena of colour-blindness, which are explicable

on the theory that one of these sets of nerve-fibres (usually that

adapted to perceive red) has lost its sensibility, causing all

colours to appear as if the red rays were abstracted from them.

It is a property of these various radiations, that they are unequally

refracted or bent in passing obliquely through transparent bodies,

the longer waves being least refracted, the shorter most. Hence

it becomes possible to analyse white or any other light into its

component rays. A small ray of sunlight, for example, which would

produce a round white spot on a wall, if passed through a prism is

lengthened out into a band of coloured light, exactly corresponding

to the colours of the rainbow. Any one colour can thus be isolated

and separately examined; and by means of reflecting mirrors the

separate colours can be again compounded in various ways, and the

resulting colours observed. This band of coloured light is called

a _spectrum_, and the instrument by which the _spectra_ of various

kinds of light are examined is called a _spectroscope_. This branch

of the subject has, however, no direct bearing on the mode in which

the colours of living things are produced, and it has only been

alluded to in order to complete our sketch of the nature of colour.

The colours which we perceive in material substances are produced

either by the absorption or by the interference of some of the

rays which form white light. Pigmental or absorption-colours are

the most frequent, comprising all the opaque tints of flowers and

insects, and all the colours of dyes and pigments. They are caused

by rays of certain wave-lengths being absorbed, while the remaining

rays are reflected and give rise to the sensation of colour. When

all the colour-producing rays are reflected in due proportion, the

colour of the object is white; when all are absorbed the colour

is black. If blue rays only are absorbed the resulting colour is

orange-red; and generally, whatever colour an object appears to us,

it is because the complementary colours are absorbed by it. The

reason why rays of only certain refrangibilities are reflected,

and the rest of the incident light absorbed by each substance,

is supposed to depend upon the molecular structure of the body.

Chemical action almost always implies change of molecular structure,

hence chemical action is the most potent cause of change of colour.

Sometimes simple solution in water effects a marvellous change, as

in the case of the well-known aniline dyes; the magenta and violet

dyes exhibiting, when in the solid form, various shades of golden

or bronzy metallic green.

Heat alone often produces change of colour without effecting

any chemical change. Mr. Ackroyd has recently investigated this

subject,[18] and has shown that a large number of bodies are changed

by heat, returning to their normal colour when cooled, and that this

change is almost always in the direction of the less refrangible

rays or longer wave-lengths; and he connects the change with the

molecular expansion caused by heat. As examples may be mentioned

mercuric oxide, which is orange yellow, but which changes to orange,

red, and brown when heated; chromic-oxide, which is green, and

changes to yellow; cinnabar, which is scarlet, and changes to puce;

and metaborate of copper, which is blue, and changes to green and

greenish yellow.

[18] “Metachromatism, or Colour-Change,” _Chemical News_, August,

1876.

_How Animal Colours are Produced._--The colouring matters of animals

are very varied. Copper has been found in the red pigment of the

wing of the turaco, and Mr. Sorby has detected no less than seven

distinct colouring matters in birds’ eggs, several of which are

chemically related to those of blood and bile. The same colours are

often produced by quite different substances in different groups, as

shown by the red of the wing on the burnet-moth changing to yellow

with muriatic acid, while the red of the red-admiral-butterfly

undergoes no such change.

These pigmental colours have a different character in animals

according to their position in the integument. Following Dr. Hagen’s

classification, epidermal colours are those which exist in the

external chitinised skin of insects, in the hairs of mammals, and,

partially, in the feathers of birds. They are often very deep and

rich, and do not fade after death. The hypodermal colours are those

which are situated in the inferior soft layer of the skin. These

are often of lighter and more vivid tints, and usually fade after

death. Many of the reds and yellows of butterflies and birds belong

to this class, as well as the intensely vivid hues of the naked

skin about the heads of many birds. These colours sometimes exude

through the pores, forming an evanescent bloom on the surface.

Interference colours are less frequent in the organic world. They

are caused in two ways: either by reflection from the two surfaces

of transparent films, as seen in the soap-bubble and in thin films

of oil on water; or by fine striæ which produce colours either by

reflected or transmitted light, as seen in mother-of-pearl and in

finely-ruled metallic surfaces. In both cases colour is produced

by light of one wave-length being neutralised, owing to one set of

such waves being caused to be half a wave length behind the other

set, as may be found explained in any treatise on physical optics.

The result is, that the complementary colour of that neutralised

is seen; and, as the thickness of the film or the fineness of the

striæ undergo slight changes, almost any colour can be produced.

This is believed to be the origin of many of the glossy or metallic

tints of insects, as well as those of the feathers of some birds.

The iridescent colours of the wings of dragon-flies are caused by

the superposition of two or more transparent lamellæ; while the

shining blue of the Purple-Emperor and other butterflies, and the

intensely metallic colours of humming-birds, are probably due to

fine striæ.

_Colour a Normal Product of Organization._--This outline sketch of

the nature of colour in the animal world, however imperfect, will at

least serve to show us how numerous and varied are the causes which

perpetually tend to the production of colour in animal tissues. If

we consider, that in order to produce white, all the rays which

fall upon an object must be reflected in the same proportions as

they exist in solar light--whereas, if rays of any one or more

kinds are absorbed or neutralised, the resultant reflected light

will be coloured; and that this colour may be infinitely varied

according to the proportions in which different rays are reflected

or absorbed--we should expect that white would be, as it really is,

comparatively rare and exceptional in nature. The same observation

will apply to black, which arises from the absorption of all the

different rays. Many of the complex substances which exist in animals

and plants are subject to changes of colour under the influence of

light, heat, or chemical change, and we know that chemical changes

are continually occurring during the physiological processes of

development and growth. We also find that every external character

is subject to minute changes, which are generally perceptible to

us in closely allied species; and we can therefore have no doubt

that the extension and thickness of the transparent lamellæ, and

the fineness of the striæ or rugosities of the integuments, must

be undergoing constant minute changes; and these changes will very

frequently produce changes of colour. These considerations render it

probable that colour is a normal and even necessary result of the

complex structure of animals and plants; and that those parts of an

organism which are undergoing continual development and adaptation

to new conditions, and are also continually subject to the action of

light and heat, will be the parts in which changes of colour will

most frequently appear. Now there is little doubt that the external

changes of animals and plants in adaptation to the environment are

much more numerous than the internal changes; as seen in the varied

character of the integuments and appendages of animals--hair, horns,

scales, feathers, &c. &c.--and in plants, the leaves, bark, flowers,

and fruit, with their various modifications--as compared with the

great uniformity in the texture and composition of their internal

tissues; and this accords with the uniformity of the tints of blood,

muscle, nerve, and bone throughout extensive groups, as compared

with the great diversity of colour of their external organs. It

seems a fair conclusion that colour _per se_ may be considered to

be normal, and to need no special accounting for; while the absence

of colour (that is, either _white_ or _black_), or the prevalence

of certain colours to the constant exclusion of others, must be

traced, like other modifications in the economy of living things,

to the needs of the species. Or, looking at it in another aspect,

we may say, that amid the constant variations of animals and plants

colour is ever tending to vary and to appear where it is absent;

and that natural selection is constantly eliminating such tints as

are injurious to the species, or preserving and intensifying such

as are useful.

This view is in accordance with the well-known fact, of colours

which rarely or never appear in the species in a state of nature,

continually occurring among domesticated animals and cultivated

plants; showing us that the capacity to develop colour is ever

present, so that almost any required tint can be produced which may,

under changed conditions, be useful, in however small a degree.

Let us now see how these principles will enable us to understand

and explain the varied phenomena of colour in nature, taking them

in the order of our functional classification of colours.

_Theory of Protective Colours._--We have seen that obscure or

protective tints in their infinitely varied degrees are present in

every part of the animal kingdom, whole families or genera being

often thus coloured. Now the various brown, earthy, ashy, and

other neutral tints are those which would be most readily produced,

because they are due to an irregular mixture of many kinds of rays;

while pure tints require either rays of one kind only, or definite

mixtures in proper proportions of two or more kinds of rays. This

is well exemplified by the comparative difficulty of producing

definite pure tints by the mixture of two or more pigments; while

a haphazard mixture of a number of these will be almost sure to

produce browns, olives, or other neutral or dingy colours. An

indefinite or irregular absorption of some rays and reflection of

others would, therefore, produce obscure tints; while pure and

vivid colours would require a perfectly definite absorption of one

portion of the coloured rays, leaving the remainder to produce the

true complementary colour. This being the case we may expect these

brown tints to occur when the need of protection is very slight or

even when it does not exist at all; always supposing that bright

colours are not in any way useful to the species. But whenever a

pure colour is protective,--as green in tropical forests or white

among arctic snows, there is no difficulty in producing it, by

natural selection acting on the innumerable slight variations of

tint which are ever occurring. Such variations may, as we have seen,

be produced in a great variety of ways; either by chemical changes

in the secretions, or by molecular changes in surface structure;

and may be brought about by change of food, by the photographic

action of light, or by the normal process of generative variation.

Protective colours therefore, however curious and complex they may

be in certain cases, offer no real difficulties.

_Theory of Warning Colours._--These differ greatly from the last

class, inasmuch as they present us with a variety of brilliant hues,

often of the greatest purity, and combined in striking contrasts

and conspicuous patterns. Their use depends upon their boldness and

visibility, not on the presence of any one colour; hence we find

among these groups some of the most exquisitely-coloured objects in

nature. Many of the uneatable caterpillars are strikingly beautiful;

while the Danaidæ, Heliconidæ, and protected groups of Papilionidæ,

comprise a series of butterflies of the most brilliant and contrasted

colours. The bright colours of many of the sea-anemones and sea-slugs

will probably be found to be in this sense protective, serving

as a warning of their uneatableness. On our theory none of these

colours offer any difficulty. Conspicuousness being useful, every

variation tending to brighter and purer colours was selected; the

result being the beautiful variety and contrast we find.

_Imitative Warning Colours:--The Theory of Mimicry._--We now come

to those groups which gain protection solely by being mistaken for

some of these brilliantly coloured but uneatable creatures, and here

a difficulty really exists, and to many minds is so great as to be

insuperable. It will be well therefore to endeavour to explain how

the resemblance in question may have been brought about.

The most difficult case, and the one which may be taken as a type

of the whole class, is that of the genus Leptalis (a group of South

American butterflies allied to our common white and yellow kinds),

many of the larger species of which are still white or yellow, and

which are all eatable by birds and other insectivorous creatures.

But there are also a number of species of Leptalis, which are

brilliantly red, yellow, and black, and which, band for band and

spot for spot, resemble some one of the Danaidæ or Heliconidæ which

inhabit the same district and which are nauseous and uneatable. Now

the usual difficulty is, that a slight approach to one of these

protected butterflies would be of no use, while a greater sudden

variation is not admissible on the theory of gradual change by

indefinite slight variations. This objection depends almost wholly

on the supposition that, when the first steps towards mimicry

occurred, the South American Danaidæ were what they are now; while

the ancestors of the Leptalides were like the ordinary white or

yellow Pieridæ to which they are allied. But the danaioid butterflies

of South America are so immensely numerous and so greatly varied,

not only in colour but in structure, that we may be sure they are

of vast antiquity and have undergone great modification. A large

number of them, however, are still of comparatively plain colours,

often rendered extremely elegant by the delicate transparency of the

wing membrane, but otherwise not at all conspicuous. Many have only

dusky or purplish bands or spots; others have patches of reddish or

yellowish brown--perhaps the commonest colour among butterflies;

while a considerable number are tinged or spotted with yellow, also

a very common colour, and one especially characteristic of the

Pieridæ, the family to which Leptalis belongs. We may therefore

reasonably suppose that in the early stages of the development of the

Danaidæ, when they first began to acquire those nauseous secretions

which are now their protection, their colours were somewhat plain;

either dusky with paler bands and spots, or yellowish with dark

borders, and sometimes with reddish bands or spots. At this time

they had probably shorter wings and a more rapid flight, just like

the other unprotected families of butterflies. But as soon as they

became decidedly unpalatable to any of their enemies, it would

be an advantage to them to be readily distinguished from all the

eatable kinds; and as butterflies were no doubt already very varied

in colour, while all probably had wings adapted for rather quick

or jerking flight, the best distinction might have been found in

outline and habits; whence would arise the preservation of those

varieties whose longer wings, bodies, and antennæ, as well as

their slower flight, rendered them noticeable--characters which

now distinguish the whole group in every part of the world.

Now it would be at this stage, that some of the weaker-flying Pieridæ

which happened to resemble some of the Danaidæ around them in their

yellow and dusky tints and in the general outline of their wings,

would be sometimes mistaken for them by the common enemy, and would

thus gain an advantage in the struggle for existence. Admitting

this one step to be made, and all the rest must inevitably follow

from simple variation and survival of the fittest. So soon as the

nauseous butterfly varied in form or colour to such an extent that

the corresponding eatable butterfly no longer closely resembled it,

the latter would be exposed to attacks, and only those variations

would be preserved which kept up the resemblance. At the same time

we may well suppose the enemies to become more acute and able to

detect smaller differences than at first. This would lead to

the destruction of all adverse variations, and thus keep up in

continually increasing complexity the outward mimicry which now

so amazes us. During the long ages in which this process has been

going on, and the Danaidæ have been acquiring those specialities

of colour which aid in their preservation, many a _Leptalis_ may

have become extinct from not varying sufficiently in the right

direction and at the right time to keep up a protective resemblance

to its neighbour; and this well accords with the comparatively small

number of cases of true mimicry, as compared with the frequency of

those protective resemblances to vegetable or inorganic objects

whose forms are less definite and colours less changeable. About a

dozen other genera of butterflies and moths mimic the Danaidæ in

various parts of the world, and exactly the same explanation will

apply to all of them. They represent those species of each group

which, at the time when the Danaidæ first acquired their protective

secretions, happened outwardly to resemble some of them, and which

have, by concurrent variation aided by a rigid selection, been able

to keep up that resemblance to the present day.[19]

[19] For fuller information on this subject the reader should consult

Mr. Bates’s original paper, “Contributions to an Insect-fauna of

the Amazon Valley,” in _Transactions of the Linnean Society_, vol.

xxiii. p. 495; Mr. Trimen’s paper in vol. xxvi. p. 497; the author’s

essay on “Mimicry,” &c., already referred to; and in the absence of

collections of butterflies, the plates of Heliconidæ and Leptalidæ,

in Hewitson’s _Exotic Butterflies_, and Felder’s _Voyage of the

“Novara,”_ may be examined.

_Theory of Sexual Colours._--In Mr. Darwin’s celebrated work, _The

Descent of Man and Selection in Relation to Sex_, he has treated

of sexual colour in combination with other sexual characters, and

has arrived at the conclusion that all or almost all the colours

of the higher animals (including among these insects and all

vertebrates) are due to voluntary or conscious sexual selection;

and that diversity of colour in the sexes is due, primarily, to

the transmission of colour-variations either to one sex only or to

both sexes; the difference depending on some unknown law, and not

being due to natural selection.

I have long held this portion of Mr. Darwin’s theory to be erroneous;

and have argued that the primary cause of sexual diversity of colour

was the need of protection, repressing in the female those bright

colours which are normally produced in both sexes by general laws;

and I have attempted to explain many of the more difficult cases on

this principle. (“A Theory of Birds’ Nests,” in _Contributions, &c._,

p. 231.) As I have since given much thought to this subject, and

have arrived at some views which appear to me to be of considerable

importance, it will be well to sketch briefly the theory I now

hold, and afterwards show its application to some of the detailed

cases adduced in Mr. Darwin’s work.

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