Online Encyclopedia
Search over 40,000 articles from the original, classic Encyclopedia Britannica, 11th Edition.
VARIATION AND SELECTION
Online EncyclopediaEncyclopedia Home :: VAN-VIR
del.icio.us it!
|
VARIATION AND SELECTION
, in See also:biology
.
Since the publication in 1859 of See also:
See also:Medieval writers contain nothing of See also:interest on the subject, and the speculations of the earliest of the See also:modern evolutionists, such as C
.
See also:Bonnet, were too vague to be of value
.
G
.
L
.
L
.
See also:Buffon, in a cautious, tentative See also:fashion, suggested rather than stated the mutability of species and the See also:influence of the forces of nature in moulding organisms
.
Immanuel See also:Kant, in his Theory of the Heavens (17J5), foreshadowed a theory of the development of unformed See also:matter into the highest types of animals and plants, and suggested that the gradations of structure revealed by See also:comparative See also:anatomy pointed to the existence of See also:blood relationship of all organisms, due to derivation from a See also:common ancestor
.
He appeared to believe, however, that the successive variations and modifications had arisen in response to See also:mechanical See also:laws of the organisms themselves rather than to the influence of their surroundings
.
J
.
G. von See also:Herder suggested that increase by multiplication with the consequent struggle for existence had played a large See also:part in the organic See also:world, but his theme remained vague and undeveloped
.
See also:Erasmus Darwin, the grandfather of Charles Darwin, set forth in Zoonomia a much more definite theory of the relation ofvariation to evolution, and the following passage, cited by Clodd, clearly expresses it:
" When we revolve in our minds the metamorphoses of animals, as from the See also:tadpole to the See also:frog; secondly, the changes produced by artificial cultivation, as in the breeds of horses, See also:dogs and See also:sheep; thirdly, the changes produced by conditions of See also:climate and See also:season, as in the sheep of warm climates being covered with See also:hair instead of See also:wool, and the See also:hares and partridges of See also:northern climates becoming See also:
Treviranus, in the beginning of the loth See also:century, laid stress on the indefiniteness of variation, but assumed that some of it was adaptive response to the environment, and some due to sexual crossing
.
J
.
B
.
P
.
See also:Lamarck was the first author to work out a connected theory of descent and to suggest that the relationships of organic forms were due to actual See also:affinities
.
He believed that See also:life was an expanding, growing force, and that animals responded to the environment by developing new wants, seeking to satisfy .these by new movements and thus by their own striving producing new See also:organs which were transmitted to their descendants
.
Variation was in fact a purposive response
.
In 1813 W
.
C
.
See also:Wells definitely propounded the theory of natural selection, but applied it only to certain human characters
.
In 1831 See also:Patrick See also:Matthew, in the appendix to a See also:book on See also:naval See also:timber and See also:arboriculture, laid stress on the extreme fecundity of nature " who has in all the varieties of her offspring a prolific See also:power much beyond (in many cases a thousandfold) what is necessary to fill up the vacancies caused by senile decay
.
As the See also: This principle is in See also:constant See also:action; it regulates the See also:colour, the figure, the capacities and instincts; those individuals in each species whose colour and covering are best suited to concealment or See also:protection from enemies, or See also:defence from inclemencies or vicissitudes of climate, whose figure is best accommodated to See also:health, strength, defence and support; whose capacities and instincts can best regulate the See also:physical energies to self-See also:advantage according to circumstances—in such immense See also:waste of See also:primary and youthful life those only come to maturity from the strict See also:ordeal by which nature tests their adaptation to her See also:standard of perfection and fitness to continue their kind by See also:reproduction." G . St Hilaire and afterwards his son Isodore regarded variation as not indefinite but directly evoked by the demands of the environment . L. von See also:Buch laid stress on See also:geographical See also:isolation as the cause of production of varieties, the different conditions of the environment and the segregated interbreeding gradually producing See also:local races . K . E. von See also:Baer and M . J . See also:Schleiden regarded, variation and the production of new or improved structures as an unfolding of possibilities latent in the stock . See also:Robert See also:Chambers, in the once famous Vestiges of Creation, interested and shocked his contemporaries by his denial of the fixity of species and his insistence on creation by progressive evolution, but had no better theory of the cause of variation than to suppose that organisms—" from the simplest and See also:oldest to the highest and most See also:recent " were possessed of " an inherent impulse, imparted by the Almighty both to advance them from the several grades and modify their structure as circumstances required." In 1852 C . Naudin compared the origin of species in nature with that of varieties under cultivation . See also:Herbert See also:Spencer from 1852 onwards maintained the principle of evolution and laid See also:special stress on the moulding forces of the environment which called into being primarily new functions and secondarily new structures . Although the pre-Darwinian writers amongst them invoked nearly every principle that Darwin or his successors have suggested, they failed to carry conviction with regard to evolution, and they neither propounded a coherent See also:philosophy of variation nor suggested a mechanism by which variations that appeared might give rise to new species . The anticipations of Darwin were little more than formal and verbal . As T . H . See also:Huxley pointed out in his See also:essay on the reception of the Origin of Species in the second See also:volume of Darwin's Life and Letters, " The suggestion that new species may result from the selective action of See also:external conditions upon the variations from their specific type which individuals See also:present—and which we See also:call `spontaneous' because we are ignorant of their See also:causation—is as wholly unknown to the historian of scientific ideas as it was to biological specialists before 1858 . But that suggestion is the central See also:idea of the Origin of Species, and contains the See also:quintessence of Darwinism." C . Darwin opened his See also:argument by See also:consideration of plants and animals under domestication . He pointed to the efflorescence of new forms that had come into existence under the protection of See also:man . A multitude of varieties of cultivated plants and domesticated animals existed, and these differed amongst themselves and from their nearest See also:wild See also:allies to an extent that, but for the fact o. their domestication, would entitle them to the systematic See also:rank of species . Some of these changes he sup-posed to have been the result of new conditions, including abundance of See also:food and protection from enemies, but most he attributed to the accumulated results of selective breeding . No doubt such domesticated species might revert, and it has been shown that many do revert when restored to wild conditions, but such reversion is natural if we reflect that the domestic varieties are under the guardianship of man and have been selected according to his whim and advantage . Comparing domesticated varieties with species and varieties in nature, Darwin showed that the distinction between varieties and species was chiefly a matter of See also:opinion, and that the See also:discovery of new linking forms often degraded species to varieties . Species, in fact, were not fixed categories, but halting-places, often extremely difficult to choose, for the See also:surveying mind of the systematist . He considered that a struggle for existence was the inevitable result of the operation of the principle of See also:Malthus in the See also:animal and See also:vegetable worlds . The struggle would be most acute between individuals and varieties of the same species, with the result that " any being, if it vary however slightly, in any manner profitable to itself, under the complex and somewhat varying conditions of life, will have a better See also:chance of surviving, and thus be naturally selected." Under natural selection the less well-adapted forms of life would on the average have a heavier death-rate and a See also:lower multiplication-rate . He did not suggest that every variation and every See also:character must have a " selection value," although he pointed out that, because of our See also:ignorance of animal See also:physiology, it was extremely rash to set down any characters as valueless to their owners . It is even more important to See also:notice that he did not suggest that every individual with a favourable variation must be selected, or that the selected or favoured animals were better or higher, but merely that they were more adapted to their surroundings . With regard to variation, Darwin was urgent in stating his opinion that the laws of variation were not understood and that the phrase " chance " variation was a wholly incorrect expression . He thought it probable that circumstances affecting the reproductive See also:system of the parents had much influence in producing a plastic See also:condition of the progeny . He doubted, but did not exclude, the importance of the See also:direct effect of See also:differences of climate and food and of increased use and disuse, except so far as the individual was concerned, but his opinion as to these Lamarckian factors changed from See also:time to time . He laid much stress on the unity of the organism in every See also:stage of its existence, with the resulting correlation of variations, so that the favouring of one particular variation entailed modifications of correlated structures . He recognized the existenceof the large variations, but he believed these to be of little value in evolution, and he attached preponderating importance to relatively :See also:minute indeterminate variations . On the other See also:hand, he was far from advocating the view that has been pithily expressed as the "selection of the See also:fit from the fortuitous "; he recognized that variations, although perhaps suggested or excited by the environment, were determined by See also:internal causes . He showed how different varieties in a species, or species in a genus, tended to display parallel variation, clearly indicating that the range and direction of variation were limited or determined by the nature of the organism . See also:Alfred Russel See also:Wallace, the co-discoverer of the Darwinian principles, had sent to Darwin See also:early in 1858 an outline of a theory of the origin of species . Darwin found that it was, in all essential respects, identical with his own theory at the exposition of which he had been working for many years . With an unselfish generosity which must always shine in the See also:history of science, and indeed of the human See also:race, Darwin proposed at once to communicate his correspondent's essay to the Linnaean Society of See also:London, but was persuaded by his See also:friends to send with it an outline of his own views . Accordingly, on the same evening, in See also:July 1858, both communications were made to the Linnaean Society . When Wallace found how much more fully Darwin was equipped for expounding the new views, he exhibited an unselfish modesty that fully re-paid Darwin's generosity, henceforth described himself as a follower of Darwin, entitled his most important publication on the theory of evolution Darwinism, and did not issue it' until 1889, long after the world had given full See also:credit to Darwin . In most respects his ideas were closely parallel with those of Darwin . He believed that species had been formed by means of natural selection . He insisted that the See also:great See also:powers of increase of all organisms led to a tremendous struggle for existence, and that variability extended to every part and See also:organ of every organism; that the variability was large in amount in proportion to the See also:size of the part affected, and occurred in a considerable proportion of the individuals of those large and dominant species which might be supposed to be breaking up into new species . He pointed to the changes wrought on domesticated organisms by the artificial selection of similar variations, and See also:drew the inference that there must be parallel occurrences under wild nature . In the See also:sphere of nature, with its vast See also:numbers and constant pressure, not every more favoured individual would survive, nor every surviving individual be the more favoured, but throughout the changes and chances there would be a constant and important See also:bias in favour of the individuals more fitted to their conditions . Wallace, however, brought into his See also:scheme a See also:factor excluded by Darwin . He believed that behind the natural world See also:lay a spiritual world, irruptions from which had disturbed the natural sequence of causation, certainly in the production of the higher emotional and See also:mental qualities of man, probably in the See also:appearance of self-consciousness, and possibly in the first origin of life . It is to be remembered that the origin of species by the modification of pre-existing species,—in fact, the See also:doctrine of organic evolution; although first. made credible by Darwin and Wallace, does not depend upon their theory of the relation of natural selection to variation . The theory of evolution is supported by a great :range of See also:evidence, much of which was first collected by Darwin, and which has been enormously increased by subsequent workers excited by his See also:genius . Such evidence relates to the facts of See also:classification, structure, development, and geographical and See also:geological See also:distribution . It now remains to examine in closer detail the further knowledge that has been gained with regard to variation and the bearing of that on the Darwinian posit'on . Magnitude of Variation.—Darwin was well aware that variation ranged from differences so minute as to become apparent only on careful measurement to those large departures from the normal which may be called abnormalities, malformations or monstrosities . He was of the opinion that the summation of minute differences had played a preponderating if not exclusive part in the formation of species . Wallace, whilst insisting that the range of observed and measured variation was much larger in proportion to the size of the organisms or parts of organism affected than was generally believed, leaned to the Darwinian view in excluding' from the normal factors in the origin of species variations of the extrerner ranges of magnitude . Later writers, and in particular W . See also:Bateson and H. de Vries, have urged that as species are discontinuous—that is to say, marked off by structural differences of considerable magnitude—it is more probable that they have arisen from similarly discontinuous variations . De Vries gave the name " mutations " to such considerable variations (it is to be noted that a further concept, that of the mode of origin, has been added to the word mutation, and that the conception of relative size is being removed from it), and Bateson, de Vries and other writers have added many striking cases to those recorded by Darwin . It is doubtful, however, if there is any philosophical basis for distinguishing between variations merely by their magnitude . Differences which at their first appearance are very minute may result in the kind of variations which certainly would be classed as discontinuous . When the cells of the morula stage of an embryo are shaken asunder, each, instead of forming the appropriate part of a single organism, may See also:form a See also:complete new organism . And similarly in the development of a complicated organism, the suppression or doubling of a single See also:cell or See also:group of cells may bring about striking differences in the symmetry of the adult, or the reduction or increase in the number of metameric organs . A slight See also:change in the structure or activity of a gland, by altering the internal secretion, may produce widespread alterations even in an adult organism; and we have See also:good See also:reason to suppose that, if compatible with viability, such minute changes would have even a greater ultimate effect if they occurred in an embryo . Even amongst the extreme See also:advocates of the theory of mutations, the importance of magnitude is being discounted by their suggestion that some of the minute variations which have hitherto been regarded by them as insignificant " fluctuating variations " may be significant mutations . This in effect is to say that not magnitude but something else has to be sought for if we are to pick out amongst observed variations those which may be the material for the differentiation of species . So far as magnitude is concerned, the attack on the Darwinian position has failed, and it is agreed that species may be discontinuous and none the less have been produced from minute variations . Causes of Variation.—Darwin was careful to insist that we did not know the laws of variation, and that when variation was attributed to " chance " no more should be read into the statement than an expression of our ignorance of the causation . It cannot now be doubted that a very large amount of observed variation, and especially of the indefinite variation which is sometimes spoken of as fluctuating variation, and which is usually distributed indefinitely See also:round a mean, is directly associated with or induced by the environment . On various grounds attempts have been made to exclude such variation from the material for the making of species . The variations which de Vries has called mutations, and which were at first associated by Bateson with what he called discontinuous variations as the exclusive source of new species, are now supposed by de Vries to be distinguished from fluctuating variations by their mode of origin . Such mutations are not the product of the environment, but are an outcrop of the constitution of the germinal material of the varying organism, the result either of causes as yet undetected, or of the premutations and eliminations suggested by the work of Mendel (see See also:MENDELISM) . These attempts to reject environmental variation See also:rest on several grounds . In the first See also:place the variations in question are " acquired characters." When Darwin and Wallace framed their theories it was practically assumed that acquired characters were inherited, and the continuous slow action of the environment, moulding each See also:generation to a slight extent in the same direction, was readily accepted by a generation inspired by See also:Sir C . See also:Lyell's doctrine of uniformitarianism in geological change, as a potent force . A . See also:Weismann, however, from theoretical considerations and from See also:analysis of supposed cases has at the least thrown doubt on the trans-See also:mission of acquired characters . And so the newer school discard acquired characters and all the Lamarckian factors and leave the See also:board clear for " mutations." Analysis of any acquired character, however, shows that there are two factors involved . The organism is not a passive See also:medium; the amount and nature of the response it makes to the action of environment depends on its own qualities, and these qualities, on any theory of See also:inheritance, pass from generation to generation . Successful organisms, or well-adapted organisms, are those that have responded to the environment, whether by large or small variations, in suitable fashion . It is the character as acquired that affords the opportunity for selection, but the quality of responding to the environment so as to produce that character is transmitted . The conceptions of Weismann afford no ground for rejecting fluctuating variations from the materials for the production of species . In the second place, it has been urged, particularly by de Vries, that experiment and observation have shown that the possible range of fluctuating variation is strictly limited . Breeders, he says, who try to build up qualities by the selection of the fluctuating variations that occur soon find that they reach a maximum beyond which their efforts fail, unless they turn to the more rarely occurring but heritable mutations . Something will be said later in this See also:article as to the See also:limitation of variation; here it is necessary only to say that de Vries is introducing no new idea . It is well known that some races and some organs in plants and animals are extremely variable, and that others are much less variable, and further, that whilst some of these differences may be due to See also:intrinsic causes, others can be modified by experiment . As Sir W . T . Thiselton-See also:Dyer has pointed out, what is called " specific stability " is a See also:familiar obstacle to the producer of novelties, but one which he frequently succeeds in breaking down by cultural and other methods . In a survey of the palaeontological history of plants and animals, it is See also:plain that extreme stability and extreme mutability both have occurred, sometimes having persisted for untold ages, sometimes having succeeded one another for varying periods . As yet no solid reason has been alleged for excluding fluctuating variations, on See also:account of their limitation, from the materials for specific change . J . Cossar See also:Ewart and H . M . See also:Vernon have adduced experimental evidence as to the See also:induction of variation by such causes as difference in the ages of the parents, in the maturity or freshness of the conjugating germ cells, and in the condition of See also:nutrition for the embryos . Such cases show in the plainest way the co-operation of external or environmental and internal or constitutional factors . With our present knowledge it is impossible to discriminate between variation that may or that may not be the material for the differentiation of species by scrutinizing either magnitude or probable causation . It is equally impossible to draw an exact See also:line between variation induced by the environment and variation that may be termed intrinsic . Extrinsic and intrinsic factors are involved in every See also:case, although there is a range from instances in which the external factor appears to be extreme to instances where the intrinsic factor is dominant . Even the results of mutilation involve an intrinsic factor, for they range, according to the organ and organism affected, from complete regeneration to the most imperfect healing . In the effects of exercise, of physiological activity and the See also:gross results of such external agencies as food, temperature, climate, See also:light, pressure and so forth the intrinsic factor appears to become more important . The interplay of extrinsic and intrinsic factors also differs with the See also:age of the organism affected: the more nearly adult it may be, the more direct appears to be the influence of the environment; the more nearly embryonic the organism may be, the less direct is the result of a force impressed from without . The old organism is more See also:stable and responds in obvious ways to direct assaults from without; the See also:young organism is at once less stable and more profoundly modified by environmental change, replying in terms less easy to predict from knowledge of the nature and amount of the impinging agency . And finally, there are a See also:series of variations, amongst which no doubt are the mutations of de Vries and the disintegrations and recombinations of the unit factors with which Mendel and his followers have worked, in which the external or environmental factor is most remote from the actual result . Correlated Variation.—Every organism is an individual, its different parts, organs and functions being associated in a degree of intimacy that varies, but that corresponds roughly with the integration of the individual and its place in the ascending scales of animal or vegetable life . One aspect of organic individuality is the correlation of variations, the fact that when one part varies, other parts vary more or less simultaneously . So far, our knowledge of correlation is almost entirely empirical, and the arrangement of the observed facts cannot be brought into exact See also:harmony with our guesses at their causation . Much correlation is the inevitable result of organic structure . The various parts of a living organism affect each other in adult life and during growth . If, for instance, the testes fail to develop normally, the secretion which they See also:discharge into the blood is abnormal in character and amount, with the result that the characters of the remotest parts of the See also:body are more or less profoundly affected . It is now known that similar internal secretions, or hormones, pass into the blood trom every organ and See also:tissue, so reaching and affecting every part of the body . If we reflect on the multitude and complexity of such actions and reactions in operation from the youngest stages to the end of the life of each individual, we cannot be surprised at any correlation . Change in the size of any part or organ, however it may have been produced, must bring with it many others changes, directly or indirectly . A difference in calibre, See also:elasticity or branching of a blood See also:vessel, the smallest variation in a See also:nerve or group of vessel-cells, any anatomical or physiological divergence, is reflected throughout the organism . Much of the character of organisms is due to various symmetries, radial, bilateral, metameric and so forth, and these symmetries arise, partly at least, from the mode of growth by cell See also:division and the marshalling of See also:groups of cells to the places where they are destined to proliferate . Here, again, a variation in the See also:order, nature and number of the divisions, in itself See also:simple, may result in symmetrical or correlated changes in all the progeny of the affected embryonic part . Every new individual starts life (see REPRODUCTION) as a See also:mass of germinal material derived from one or from two parents, but with a coherent individuality of its own . This individuality is the result of the particular selection of qualities it receives from its parents, a selection that obviously differs in different cases, as, See also:save in the case of " identical twins," which are supposed to be the product of a single fertilized ovum, no individual pair of See also:brothers, or pair consisting of See also:brother and See also:sister, are alike . We are still ignorant of the causes that deter-mine the associated selection of inherited qualities that go to the making of any individual . Those who have followed up the work of Mendel believe that the qualities of the new individual are a precise selection from and reconstruction of the parental qualities, and that were complete analysis possible, the characters of the new individual could be predicted with chemical accuracy . On other views of inheritance, there would be required for prediction knowledge not only of the immediate parents but of the whole line of ancestry, with the result that prediction could reach only some degree of See also:probability for any single individual and be accurate only for the average of a sufficient number of individuals . But whatever be the theory of the mode of inheritance, or the mechanism by which the germinal plasm of an individual is made up, it is plain that there is correlation between the various qualities of an individual due to the mode of origin of its germ plasm as a selected individual portion of the parental germ plasm . Observed cases of correlation See also:cover almost every kind ofanatomical and physiological fact, and range from simple cases such as the relation between height of body and length of See also:face to such an unexpected nexus as that between fertility and height in mothers of daughters . 
The statistical investigation of correlations forms a new See also:branch of biological inquiry, generally termed " Biometrics," inaugurated by F . See also:Galton and carried on by Karl See also:Pearson and the See also:late W . F . R . See also:Weldon . We quote from the article " Variation and Selection," in the tenth edition of this See also:Encyclopaedia, an exposition of the biometric method by Weldon: The characters of individual animals or plants depend upon so many complex conditions, most of which are generally unknown to us, that the statements we can make concerning them are of a See also:peculiar kind . We cannot predict with any exactness the characters of a single unborn individual; but if we consider a large number of unborn individuals, we can predict with considerable accuracy the percentage of individuals which will have the mean character proper to their generation, or will differ from that mean character within any assigned limits . So long as we confine our See also:attention to one or two individuals, we fail to detect any order in the occurrence of variations; but when we examine large numbers we find that it is possible to arrange them in an orderly series, which can be easily and simply described . The series into which we can arrange the results of observing phenomena of complex causation, whether exhibited by living organisms or not, have certain properties in common, which are dealt with by the theory of chance . Many of the properties of such series, and the methods of de-scribing them, are dealt with elsewhere (see PROBABILITY: See also:Law of See also:Error) ; and the frequency with which the mean value or any deviation from the mean value of a character occurs in a race of animals or of plants may probably always be expressed in terms of one or other of the series there described . The theory of chance was applied to the study of human variation by See also:Quetelet; but the most important applications of this theory to biological problems are due in the first instance to See also:Francis Galton, who used the theory of correlation in describing the relation between the deviation of one character in an animal body from the mean proper to its race and that of a second character in the same body (correlation as commonly understood), or between . deviation of a See also:parent from the mean of its generation and deviation of offspring from the mean of the following generation (inheritance) . The conceptions indicated by Galton have been extended and added to by Karl Pearson, who has also See also:developed the theory of chance so as to provide a means of describing many series of complex results in a simpler and more accurate way than was hitherto possible .
The conception of a race of animals or of plants as a group of individuals capable of being arranged in an orderly series .with respect to the condition of a particular character enables us to define the " type " of that character proper to the race
.
Table I. shows the number of See also:female See also:swine which had a given number of " See also: The best simple measure of the frequency of deviations from the mean character is the " standard deviation " or " error of mean square " of the system (see article PROBABILITY), in this case equal to 1.68 glands . In cases of nearly symmetrical distribution about the mean, the three " types," the mean, the median and the mode, may sensibly coincide . For example, in See also:Powis's table of the frequency of statures in male Australian criminals between 40 and 5o years of age (Biometrika, vol. i. part 1, p . 41), the mean stature is season by the same plant is an example of differentiation associated 66.91 in., the modal 66.96 in., the median lying between the with time of production; as this kind of differentiation is less familiar than differentiation according to the region of production, it may be well to give an example . In a group of plants of See also:Aster prenanthoides, examined by G . H . Shull (See also:American Naturalist, See also:xxxvi., 1902), the mean number of bracts, See also:ray-florets and disc-florets, and the standard deviation of each, was determined on four different days, with the following result 450 100 zoo 00 too a Sc~IE W Cw~M09 two . In other cases the difference between the three may be considerable . As an example of extreme asymmetry we may take de Vries's See also:record of the frequency with which given numbers of petals occur in a certain race of buttercups . Pearson has shown (Phil . Trans., A., 1893) that this frequency may be closely represented by the curve whose See also:equation is y = 0.2 11225X-0432(7 '3253 - x) 3.142 The curve, and the observations it represents, are See also:drawn in fig . 2 . The two are compared numerically in Table 1I . Here the mode is at 4.5 petals, the mean at 5.6 petals, the median lying of course between the two . Numbers of petals . 5 6 7 8 9 10 II Frequency observed . 133 55 23 7 2 2 0 Frequency given by 136.9 48.5 22.6 9.6 3.4 o•8 0.2 Pearson's curve . The distributions represented in See also:figs . I and 2 may be taken as examples of three common forms of series into which the individuals of a race may be arranged with respect to a single character; a comparison of them will show how little can be learnt from a See also:mere statement of racial type, without some knowledge of the way in which deviations from the type are distributed . The variability of structures which are repeated in the body of the same individual (serial homologues) has been studied by Pearson and his pupils with important results . The simplest of such repeated elements are the cells of the tissues, more complex are cell-aggregates, from hairs, scales, See also:teeth and the like, ^p to limbs or metameres in animals, or the See also:ioo leaves and their homologues in plants . Serially homologous structures, See also:borne on the same body, are commonly differentiated into sets, the mean character of a set produced in one part of the body, or during one See also:period of life, differing from the mean character of a set produced in a different region or at a different time . Such differentiation may be measured by determining the correlation between the position or the time of production and the character of the organs produced, the methods by which the correlation is measured being those de-scribed in the article ERROR, LAw OF . An excellent example of structures differentiated according to position is given by the appendages borne on the See also:stein of an See also:ordinary flowering plant—the one or two See also:seed leaves; the See also:stem leaves, which may or may not be differentiated into secondary sets; and the various floral organs borne at the See also:apex of the stem or its lateral branches . The change which often occurs in the mean character and See also:varia- bility of the See also:flowers produced. at different periods of the flowering See also:Sept . 27 . Sept . 30 . Oct . 4 . Oct . 8 . Mean No. of bracts . 47.41 44'34 43.83 41'92 Standard deviation 5'52 5.15 5.28 4'89 Mean No. of ray-florets 30.77 28.71 28.25 26'34 Standard deviation 3.99 3'57 3'50 3'01 Mean No. disc-florets . 56'43 51.71 49' 16 45.78 Standard deviation 3.99 4'99 4'88 4.78 Notwithstanding this differentiation, the mean character of a series of repeated organs is often constant through a considerable region of the body or a considerable period of time; and the standard deviation of an " See also:array " of repeated parts, chosen from such an area, or within such limits of time, may be taken as a measure of the individual variability of the organism which produces them . If such an array of repeated organs be chosen from the proper region of the body, within proper limits of time, in each of a large series of individuals belonging to a race, and if all the arrays so chosen be added together, a series will be formed from which the racial variability can be determined . Thus a series of arrays of See also:beech leaves, gathered, subject to the precautions indicated, from each of See also:loo beech trees in See also:Buckinghamshire by See also:Professor Pearson, gave 16.1 as the mean number of See also:veins per See also:leaf, the standard deviation of the veins in the series being 1.735 . The number of leaves gathered from each See also:tree was 26, and the frequency of leaves with any observed number of veins in the whole series of 2600 leaves was as follows: No. of veins . Io II 12 13 14 15 16 17 18 19 20121 No. of leaves . I 7 34 110 318 479,595 516 307 181 36115 The whole series contains 2600 leaves . If a leaf from this series be chosen at See also: |