2. When the two allelomorphic pairs affect the same structure we may get the phenomenon of novelties appearing in F 1 and F2. Certain breeds of fowls have a "rose" and others a "pea" comb (fig. 4). On crossing the two a "walnut" comb results, and the offspring of such walnuts bred together consist of 9 walnuts, 3 roses, 3 peas, and z single comb in every 16 birds. This case may be brought into line with the scheme in fig. 3 if we consider the allelomorphic pairs concerned to Rose Fig. 3.
3. Cases exist in which the characters due to one allelomorphic pair can only become manifest in the presence of a particular member of the other pair. If in fig. 3 the characters due to B - b can only manifest themselves in the presence of A, it is obvious that this can happen in twelve cases out of sixteen, but not in the remaining four, which are homozygous for aa. An example of this is to be found in the inheritance of coat colour in rabbits, rats and mice where the allelomorphic pairs concerned are wild grey colour (B) dominant to black (b) and pigmentation (A) dominant to albinism (a). Certain albinos (aaBB) crossed with blacks (AAbb) give only greys (AaBb), and when these are bred together they give 9 greys, 3 blacks and 4 albinos. Of the 4 albinos 3 carry the grey character and i does not, but in the absence of the pigmentation factor (A) this is not visible. The ratio 9: 3: 4 must be regarded as a 9: 3: 3: I ratio, in which the last two terms are visibly indistinguishable owing to the impossibility of telling by the eye whether an albino carries the character for grey or not.
4. The appearance of a zygotic character may depend upon the coexistence in the zygote of two unit-characters belonging to different allelomorphic pairs.. If in the scheme shown in fig. 3 the manifestation of a given character depends upon the simultaneous presence of A and B, it is obvious that 9 of the 16 zygotes will present this character, whilst the remaining 7 will be without it. This is shown graphically in fig. 5, where the 9 squares have been shaded and the 7 left plain. The sweet pea offers an example of this phenomenon. White sweet peas breed true to whiteness, but when certain strains of whites are crossed the offspring are all coloured. In the next generation (F 2) these F 1 plants give rise to 9 coloured and 7 whites in every 16 plants. Colour here is a compound character whose manifestation depends upon the co-existence of two factors in the zygote, and each of the original parents was homozygous for one of the two factors necessary to the production of colour. The ratio 9: 7 is in reality a 9: 3: 3: i ratio in which, owing to special conditions, the zygotes represented by the last three terms are indistinguishable from one another by the eye.
The phenomena of dihybridism, as illustrated by the four examples given above, have been worked out in many other cases for plants and animals. Emphasis must be laid upon the fact that, although the unit-characters belonging to two pairs may react upon one another in the zygote and affect its character, their inheritance is yet entirely independent. Neither grey nor black can appear in the rabbit unless the pigmentation factor is also present; nevertheless, gametic segregation of this pair of characters takes place in the normal way among albino rabbits, though its effects are never visible until a suitable cross is made. In cases of trihybridism the Mendelian ratio for the forms appearing in F2 is 27: 9 :9: 9 3: 3: 3: 1, i.e. 2 7 showing dominance of three characters, three groups of 9 each showing dominance of two characters, three groups of 3 each showing dominance of one character, and a single individual out of 64 which is homozygous for all three recessive characters. It is obvious that the system can be indefinitely extended to embrace any number of allelomorphic pairs.
Gametic Coupling
In certain cases the distribution of characters in heredity is complicated by the fact that particular unit-characters tend to become associated or coupled together during gametogenesis. In no case have we yet a complete explanation of the phenomenon, but in view of the important FIG. 6.
bearing which these facts must eventually have on our ideas of the gametogenic process an illustration may be given. The case in which two white sweet peas gave a coloured on crossing has already been described, and it was seen that the production of colour was dependent upon the meeting of two factors, of which one was brought in by each parent. If the allelomorphic pairs be denoted by C - c and R - r, then the zygotic constitution of the two parents must have been CCrr and ccRR respectively. The F 1 plant may be either purple or red, two characters which form an allelomorphic pair in which the former is dominant, and which may be denoted by the letters B - b. If B is brought in by one parent only the F1 plant will be heterozygous for all three allelomorphic pairs, and therefore of the constitution Cc Rr Bb. In the F2 generation the ratio of coloured to white must be 9 : 7, and of purple to red 3: 1; and experiment has shown that this generation is composed on the average of 27 purples, 9 reds and 28 whites out of every 64 plants. The exact composition of such a family may be gathered from the accompanying table (fig. 6). So far the case is perfectly smooth, and it is only on the introduction of another character that the phenomenon of partial coupling is witnessed. Two kinds of pollen grain occur in the sweet pea. In some plants they are oblong in shape, whilst in others they are round, the latter condition being recessive to the former. If the original white parents were homozygous for long and round respectively the F 1 purple must be heterozygous, and in the F2 generation, as experiment has shown, the ratio of longs to rounds for the whole family is 3: I. But among the purples there are about twelve longs to each round, the excess of longs here being balanced by the reds, where the proportion crB crb crb crB crb crb p - at sB B! FIG. 5.
aa bb bs is i long to about 3.5 rounds. There is partial coupling of long pollen with the purple colour and a complementary coupling of the red colour with round pollen. This result would be brought about if it were supposed that seven out of every eight purple gametes produced by the F 1 plant carried the long pollen character, and that seven out of every eight red gametes carried the round pollen character. The facts observed fit in with the supposition that the gametes are produced in series of sixteen, but how such result could be brought about is a question which for the present must remain open.
Sex
On the existing evidence it is probable that the inheritance of sex runs upon the same determinate lines as that of other characters. Indeed, there occurs in the sweet pea what may be regarded as an instance of sex inheritance of the simplest kind. Most sweet peas are hermaphrodite, but some are found in which the anthers are sterile and the plants function only as females. This latter condition is recessive to the hermaphrodite one and segregates from it in the ordinary way. Most cases of sex inheritance, however, are complicated, and it is further possible that the phenomena may be of a different order in plants and animals. Instructive in this connexion are certain cases in which one of the characters of an allelomorphic pair may be coupled with a particular sex. The pale lacticolor variety of the currant moth (Abraxas grossulariata) is recessive to the normal form, and in families produced by heterozygous parents one quarter of the offspring are of the variety. Though the sexes occur in approximately equal numbers, all the lacticolor in such families are females; and the association of sex with a character exhibiting normal segregation is strongly suggestive of a similar process obtaining for sex also. Castle has worked out similar cases in other Lepidoptera and has put forward an hypothesis of sex inheritance on the basis of the Mendelian segregation of sex determinants. An ovum or spermatozoon can carry either the male or the female character, but it is essential to Castle's hypothesis that a male spermatozoon should fertilize only a female ovum and vice versa, and consequently on his view all zygotes are heterozygous in respect of sex. Whether any such gametic selection as that postulated by Castle occurs here or elsewhere must for the present remain unanswered. Little evidence exists for it at present, but the possibility of its occurrence should not be ignored.
More recently evidence has been brought forward by Bateson and others (3) which supports the view that the inheritance of sex is on Mendelian lines. The analysis of cases where there is a closer association between a Mendelian character and a particular sex has suggested that femaleness is here dominant to maleness, and that the latter sex is homozygous while the former is heterozygous.
Heredity and Variation
It has long been realized that the problems of heredity and variation are closely interwoven, and that whatever throws light upon the one may be expected to illuminate the other. Recent as has been the rise of the study of genetics, it has, nevertheless, profoundly influenced our views as to the nature of these phenomena. Heredity we now perceive to be a method of analysis, and the facts of heredity constitute a series of reactions which enable us to argue towards the constitution of living matter. And essential to any method of analysis is the recognition of the individuality of the individual. Constitutional differences of a radical nature may be concealed beneath apparent identity of external form. Purple sweet peas from the same pod, indistinguishable in appearance and of identical ancestry, may yet be fundamentally different in their constitution. From one may come purples, reds and whites, from another only purples and reds, from another purples and whites alone, whilst a fourth will breed true to purple. Any method of investigation which fails to take account of the radical differences in constitution which may underlie external similarity must necessarily be doomed to failure. Conversely, we realize to-day that individuals identical in constitution may yet have an entirely different ancestral history. From the cross between two fowls with rose and pea combs, each of irreproachable pedigree for generations, come single combs in the second generation, and these singles are precisely similar in their behaviour to singles bred from strains of unblemished ancestry. In the ancestry of the one is to be found no single over a long series of years, in the ancestry of the other nothing but singles occurred. The creature of given constitution may often be built up in many ways, but once formed it will behave like others of the same constitution. The one sure test of the constitution of a living thing lies in the nature of the gametes which it carries, and it is the analysis of these gametes which forms the province of heredity.
The clear cut and definite mode of transmission of characters first revealed by Mendel leads inevitably to the conception of a definite and clear-cut basis for those characters. Upon this structural basis, the unit-character, are grounded certain of the phenomena now termed variation. Varieties exist as such in virtue of differing in one or more unit-characters from what is conventionally termed the type; and since these unitcharacters must from their behaviour in transmission be regarded as discontinuous in their nature, it follows that the variation must be discontinuous also. A present tendency of thought is to regard the discontinuous variation or mutation as the material upon which natural selection works, and to consider that the process of evolution takes place by definite steps. Darwin's opposition to this view rested partly upon the idea that the discontinuous variation or sport would, from the rarity of its occurrence, be unable to maintain itself against the swamping effects of intercrossing with the normal form. Mendel's work has shown that this objection is not valid, and the precision of the mode of inheritance of the discontinuous variation leads us to inquire if the small or fluctuating variation can be shown to have an equally definite physiological basis before it is admitted to play any part in the production of species. Until this has been shown it is possible to consider the discontinuous variation as the unit in all evolutionary change, and to regard the fluctuating variation as the uninherited effect of environmental accident.
The Human Aspect
In conclusion we may briefly allude to certain practical aspects of Mendel's discovery. Increased knowledge of heredity means increased power of control over the living thing, and as we come to understand more and more the architecture of the plant or animal we realize what can and what cannot be done towards modification or improvement. The experiments of Biffen on the cereals have demonstrated what may be done with our present knowledge in establishing new, stable and more profitable varieties of wheat and barley, and it is impossible to doubt that as this knowledge becomes more widely disseminated it will lead to considerable improvements in the methods of breeding animals and plants.
It is not, however, in the economic field, important as this may be, that Mendel's discovery is likely to have most meaning for us: rather it is in the new light in which man will come to view himself and his fellow creatures. To-day we are almost entirely ignorant of the unit-characters that go to make the difference between one man and another. A few diseases, such as alcaptonuria and congenital cataract, a digital malformation, and probably eye colour, are as yet the only cases in which inheritance has been shown to run upon Mendelian lines. The complexity of the subject must render investigation at once difficult and slow; but the little that we know to-day offers the hope of a great extension in our knowledge at no very distant time. If this hope is borne out, if it is shown that the qualities of man, his body and his intellect, his immunities and his diseases, even his very virtues and vices, are dependent upon the ascertainable presence or absence of definite unit-characters whose mode of transmission follows fixed laws, and if also man decides that his life shall be ordered in the light of this knowledge, it is obvious that the social system will have to undergo considerable changes.
Bibliography. - In the following short list are given the titles of papers dealing with experiments directly referred to in this article. References to most of the literature will be found in (I I), and a complete list to the date of publication in (3).
(I) W. Bateson, Mendel's Principles of Heredity (Cambridge, 1902), contains translation of Mendel's paper. (2) W. Bateson, An Address on Mendelian Heredity and its Application to Man, "Brain," pt. cxiv. (1906). (3) W. Bateson, Mendel's Principles of Heredity (1909). (4) R. H. Biffen, "Mendel's Laws of Inheritance and Wheat Breedings," Journ. Agr. Soc., vol. i. (1905) (5) W. E. Castle, "The Heredity of Sex," Bull. Mus. Comp. Zool. (Harvard, 1903). (6) L. Cuenot, "L'Heredite de la pigmentation chez les souris," Arch. Zool. Exp. (1903-1904). (7) H. de Vries, Die Mutationstheorie (Leipzig, 1901-1903). (8) L. Doncaster and G. H. Raynor, "Breeding Experiments with Lepidoptera," Proc. Zool. Soc. (London, 1906). (9) C. C. Hurst, "Experimental Studies on Heredity in Rabbits," Journ. Linn. Soc. (1905). (10) G. J. Mendel, Versuche fiber Pflanzen-Hybriden, Verh. natur. f. ver. in Briinn, Bd. IV. (1865). (II) Reports to the Evolution Committee of the Royal Society, vols. i. - iii. (London, 1902-1906, experiments by W. Bateson, E. R. Saunders, R. C. Punnett, C. C. Hurst and others). (12) E. B. Wilson, "Studies in Chromosomes," vols. i. - iii. Journ. Exp. Zool. (1905-1906). (13) T. B. Wood, "Note on the Inheritance of Horns and Face Colour in Sheep," Journ. Agr. Soc. vol. i. (1905). (R. C. P.)
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Bibliography Information
Chisholm, Hugh, General Editor. Entry for 'Mendelism'. 1911 Encyclopedia Britanica. https://www.studylight.org/​encyclopedias/​eng/​bri/​m/mendelism.html. 1910.