CHAPTER IV

MENDELISM IN MAN

=The Mendelian Principles Probably Applicable to Many Characters of

Man.--=We are really just beginning to make the proper observations and

collect the necessary data with reference to the application of Mendelian

principles to the traits of man. Yet brief as has been our study we have

disclosed much significant evidence which makes it seem highly probable

that many of his characters, good and bad, of mind and body are as

subservient to these laws as are the traits and features of lower forms.

Davenport and Plate record over sixty human characters or defects which

are seemingly inherited in Mendelian fashion. Although about fifty of

these are pathological or abnormal conditions, this does not mean that

such conditions are more prone to follow Mendelian inheritance but merely

that being relatively conspicuous or isolated they are easier to follow

and tabulate.

=Difficult to get Correct Data.--=While it must be said that in many cases

no simple form of Mendelian tabulation has been unequivocally established,

yet the general behavior of the various inheritable traits in question is

so obviously related to the conventional Mendelian course that there seems

little reason for doubting that they are at bottom the same. Failure to

obtain exact proportions may be attributable in part to the probability

that what we loosely regard as a character should in reality be analyzed

into more elemental components, and above all to the fact that from the

very nature of the conditions under which human records must be obtained,

there is considerable chance of inaccuracy or error in such accounts. How

many human traits follow Mendelian rules remains largely for future

investigators to establish.

We are handicapped at the outset in man by the many difficulties of

getting correct data from the genealogies on which we must depend, or in

fact of getting any genealogy at all, for in this country at least, most

families keep imperfect records of births and deaths and many of the

institutions for the various kinds of defectives have little in their

records that will help us in following out hereditary conditions. Then in

matters of disease we meet with the fact that many former diagnoses were

erroneous. In yet other cases, and this is particularly true among mental

and moral defectives, we are often not sure of the paternity of a given

child. Furthermore, one is likely to be misled by the proportions which

may occur in the very limited number of children of any given couple.

Still other difficulties exist. Among these is the fact, for example, that

in many cases of defect or susceptibility to disease, a given individual

in the stock may have the trait in an expressible and transmissible form,

yet it never comes to expression because that individual has been

fortunate enough to escape the environmental stimulus which would call it

forth. Thus one highly susceptible to tuberculosis might escape infection,

or persons hovering on the verge of insanity might never receive the

precipitating stimulus which would topple them into actual insanity; yet

each would be wrongfully recorded in a genealogy looking to such traits as

perfectly normal. Or again if it be a question of intellectual brilliancy

as shown by accomplishment in the realm of scholarship, or of worldly

affairs, the ones who although possessing them have had no chance to

display unusual talents would be tabulated as average whereas in fact they

should be recorded as of high rank. That this is particularly likely to

happen in the case of women is evident.

=A Generalized Presence-Absence Formula for Man.--=In man as in lower

forms some characters or traits are due presumably to the presence of

determiners or to their absence. Likewise, dominance and recessiveness are

as much in evidence, for in tracing back pedigrees of various traits we

find the same forms of tabulation that obtain for these conditions in

plants and lower animals hold good. For typical cases in man let us use a

generalized presence-absence formula and the arbitrary symbol A for the

presence of the determiner of the character (double in the individual,

single in the germ) and a for its absence. Thus AA represents a condition

in which similar determiners have been derived from both parents and the

individual is _duplex_ as regards the character in question; each mature

germ-cell will have the determiner. Aa represents a condition in which the

individual has received the determiner from only one parent and is

therefore _simplex_ with regard to the character; half of the gametes of

such an individual will have the determiner and half will lack it. Lastly,

aa represents total absence of the determiner. Such an individual is

_nulliplex_. He or she will not have the determiner represented in any of

the gametes, and can not, of course, transmit a trait represented by the

determiner.

It is evident that six kinds of gametic matings are possible among

individuals representing these various formulae. These matings are as

follows:

Possible

couplings

Matings of gametes Product

1. Nulliplex x Nulliplex (aa x aa) == a------a == all nulliplex

\/

/\

a------a

2. Nulliplex x Simplex (aa x Aa) == a------A == 50 per cent.

\/ with character

/\ nulliplex and

a------a 50 per cent.

with it

simplex.

3. Nulliplex x Duplex (aa x AA) == a------A == all with characters

\/ simplex

/\

a------A

4. Simplex x Simplex (Aa x Aa) == A------A == 25 per cent.

\/ with characters

/\ duplex, 50 per

a------a cent. with it

simplex and 25

per cent. with

it nulliplex.

5. Simplex x Duplex (Aa x AA) == A-------A == 50 per cent.

\/ with character

/\ duplex and 50

a-------A per cent. with

it simplex.

6. Duplex x Duplex (AA x AA) == A-------A == all duplex.

\/

/\

A-------A

=Indications of Incomplete Dominance.--=While in cases of strict Mendelian

dominance it is not possible to distinguish directly the simplex from the

duplex condition, as a matter of fact the individual of simplex

constitution sometimes has the character represented in the single

determiner less perfectly developed than in the corresponding character of

duplex origin. In studying defects in man due to the absence of a

determiner, where theoretically presence of the determiner (normality) is

dominant over its absence in individuals of simplex constitution, one

finds it recorded with increasing frequency that such individuals are more

or less "intermediate" or are "tainted" with the defect; thus showing that

the defect though obscured is not wholly in abeyance. Thus individuals

carrying epilepsy or feeble-mindedness which are regarded as recessive

traits, while not showing specific feeble-mindedness or epilepsy, may

nevertheless apparently show a neuropathic taint in the form of migraine,

alcoholism or other lapse from normality. The condition is seemingly more

akin in some cases to that found in the offspring of certain red flowers

crossbred with white flowers, which though red do not show the same

intensity of color as the original red parent. Just as here the single

determiner or single "dose" of redness is insufficient to produce the

intensity of color that appears when the offspring receive two determiners

for red, one from each parent, so in man a single determiner for normality

of a specific character is inadequate in some cases to make the individual

wholly normal. Or possibly some cases are more of the type of those in

which the character in question, for instance the red color of some wheats

and corn, may be produced by any one of two or three determiners, the

intensity of the characters (red color, e. g.) depending on whether one,

two or three determiners are present.

=Why After the First Generation Only Half the Children May Show the

Dominant Character.--=If the trait is a simple dominant one it is clear

that it will appear in each generation and always spring from an affected

individual. By referring back to our tabulation of possible matings on

page 100 where the dominant character is represented by the letter A, this

can be seen at a glance. If the trait is present in the duplex condition

in one parent and absent from the other, then formula 3 applies; all

children will show the trait, but in the simplex form (Aa). If the trait

is present in the simplex form in one parent and absent in the other,

formula 2 applies. Fifty per cent. of the children will have the character

in the simplex form (Aa) which means also an even chance of transmitting

it to their offspring; fifty per cent. will not inherit it and will be

incapable, furthermore, of transmitting it, since they have become

nulliplex (aa). In human genealogies if an individual having an unusual

trait which is inherited as a dominant marries a normal person and half of

the offspring show the trait (and this is common), this means that the

parent manifesting the trait had it represented only in the simplex

condition, otherwise all of the children would have shown it. Even though

the original ancestor who first developed the condition or structure may

have had it in a duplex form, it would after the first mating, if this

were with an individual lacking the trait, be represented only in the

simplex form (see formula 5) and could never become duplex again unless

two individuals both having the character married, and then only in

twenty-five per cent. of the offspring (see formula 3). If the trait is a

defect all the children showing it, even though marrying normal

(nulliplex) individuals, will pass it on again to half their children, but

those who do not show it may ordinarily marry with impunity since its

non-expression in their make-up means, as far as we know at present, that

their germ-plasm has been purged of the defect and that they are therefore

nulliplex with reference to it.

=Eye-Color in Man.--=Of normal characters in man which follow the

Mendelian formula perhaps eye-color is the best established. Brown or

black eye-color is due to a _melanin_ pigment absent from the blue or gray

eye. That is, a brown eye is practically a blue eye plus an additional

layer of pigment on the outer surface of the iris. The different shades of

brown and the black are due to the relative abundance of this pigment.

Gray color and the shades of blue seem to be a modification of an original

dark blue, due to structural differences in the fibrous tissues of the

iris.

In inheritance brown or black is dominant to blue or gray, or in other

words the _presence_ and _absence_ of a pigment P constitutes a pair of

allelomorphs. Hence two brown-eyed parents, if P is duplex in both (or

duplex in one and simplex in the other) can have only brown-eyed children.

Thus,

1. PP x PP = PP, or all duplex brown.

2. PP x Pp = PP and Pp, half duplex brown and half simplex brown.

If each parent has brown eyes but in simplex condition, then one-fourth

of children will have blue or gray eyes; for example,

Mating Gametic Product

couplings

Pp x Pp = P--P = PP, Pp, pP, and pp, or one-fourth

\/ duplex brown, one-half simplex

/\ brown, and one-fourth blue or

p--p gray.

If both parents have blue or gray eyes they can not have children with

black or brown eyes, since the recessive condition in each parent means

total absence of brown pigment in both.

If one pair is duplex brown and the other blue, then all children will

have brown eyes but of simplex type.

If one parent has simplex brown eyes (type Pp) and one blue (pp) then

one-half of the children will have brown eyes of simplex type and one-half

will have blue eyes.

Occasional objections have been raised against the Mendelian

interpretation of inheritance in eye-color, but the cases cited in

evidence against the theory usually narrow down to those in which the

color is so diluted as to render classification uncertain. For example,

hazel eyes are sometimes called gray; they belong however to the melanic

pigmented type although the brown pigment may be much diluted and occur

mainly around the pupil. So-called green eyes are due to yellow pigment on

a blue background. In the rare cases where in the same individual one eye

is brown and the other blue, the individual should probably be rated as

brown-eyed on the supposition that in the one eye the development of brown

pigment has in some way been suppressed.

=Hair-Color.--=The inheritance of hair-color has also been the subject of

considerable study and while the conditions are not so simple as in the

case of eye-color, there is little doubt that it belongs in the Mendelian

category. In human hair, color has as its foundation apparently two

pigments, black and red. Absence of one or both or various combinations or

dilutions of these seemingly account for the prevailing colors in human

hair. In general dark hair is dominant to light, although because of the

delay sometimes in the darkening of the hair in children this fact is

often obscured. Black is dominant to red. People with glossy black hair,

according to Davenport, are probably simplex for black, the glossiness

being due usually to recessive red. The expectation would be for some of

the children of such a pair to have red hair.

In man occasionally a congenital white lock contrasting strikingly with

the remaining normally pigmented hair occurs. It behaves as a simple

dominant in heredity.

=Hair-Shape.--=Again, straight and curly hair seem to be distinct

inheritable characters. Curly is incompletely dominant to straight, the

simplex condition yielding wavy hair.

Not to enter into details of the matings, statistics gathered by Mr. and

Mrs. Davenport show that, two flaxen-haired parents have flaxen-haired

children; two golden-haired parents have only golden-haired children; two

parents with light brown hair have children with hair of that color or

lighter, but never darker; two parents each with dark brown or black hair

may have children with all the varieties of hair-color. Summing together

a series of recessives Davenport points out that two blue-eyed, flaxen or

golden and straight-haired parents will have only children like

themselves.

[Illustration: FIG. 21

Diagram showing descent of brachydactyly through five generations; black

symbols indicate affected individuals; [male], male; [female], female

(after Farabee).]

=Irregularities.--=If a dominant trait or defect depends on more than a

single factor, as is sometimes the case, or if it is modified by sex or

other conditions, as is true of certain characters, some of which, such as

color-blindness, have already been examined, then we shall find some

apparently non-affected individuals having affected offspring. Certain

diseases, for example, are generally transmitted by affected members of

the family to their children in the expected Mendelian ratio for a

dominant, yet an occasional skip of a generation may appear in which an

apparently perfectly normal individual transmits to his children what,

except for the omission in his own case, appears to be an ordinary

dominant character. This occasional lapse in the appearance of a

character when theoretically it should appear is doubtless due in some

instances to the fact that what is really inherited is a _tendency_, and

although this is present in the apparently normal individual, for some

reason the condition itself has not appeared. This might especially be

true in the case of a disease which does not manifest itself until late in

life. In other cases there are undoubtedly complicating accessory

conditions which modify the behavior of the trait somewhat.

OTHER CASES OF DOMINANCE IN MAN

Among other normal characters in man, as far as available evidence goes,

dark skin is dominant to light skin; normally pigmented condition to

albino; and nervous temperament to phlegmatic.

=Digital Malformations.--=An interesting and easily followed defect is a

condition known as _brachydactylism_, in which the digits are shortened

because of the absence or rudimentary condition of one segment. The

fingers, therefore, appear to be only two-jointed like the thumb. Several

families showing this defect have been charted and it appears to behave as

a typical dominant. In looking over such a chart (Fig. 21, p. 106) one is

struck by the fact that only half of the children from most of the matings

show the defect, but when we recall that the affected parent, after the

first generation, probably carried the condition in only the simplex form

and married a normal individual, such a result is just what would be

expected (see formula 2).

_Polydactylism_ (Figs. 22, 23, pp. 109, 110) is a condition in which there

are extra digits on hands or feet. The character, with apparently slight

exceptions in a few records, behaves as a typical dominant. Among other

digital defects which are inherited as a dominant is a condition known as

_syndactylism_ (Fig. 24, p. 111), in which two or more digits are fused

side by side. For an example of syndactyly which seems to be in the class

of sex-linked characters, see Fig. 15, p. 65.

=Eye Defects.--=_Congenital cataract_ is another not uncommon defect in

man which is transmitted as a dominant (Fig. 25, p. 112) with occasional

irregularities. It is a condition of opacity of the lens of the eye which

produces partial or total blindness. In a paper on _Hereditary Blindness

and Its Prevention_, Clarence Loeb (1909) mentions 304 families of which

pedigrees have been published. Of the 1,012 children in these families

589, or 58 per cent., were affected. It is obvious that this is near the

expected percentage in the case of a dominant trait where matings of

affected with normal individuals prevailed. An unfortunate circumstance

about this malady from the eugenic standpoint is the fact that it is

frequently of the presenile form which comes on late in life so that it is

usually impossible to predict whether an individual of marriageable age is

immune or will later become affected.

[Illustration: FIG. 22

Radiograph (Courtesy of Dr. W. B. Helm) showing polydactyly in a child's

hand. For genealogy of this see Fig. 23, p. 110.]

[Illustration: FIG. 23

Chart showing a history of polydactylism through five generations in the

B---- family. The individual whose hand is pictured in Fig. 22, p. 109, is

of the fifth generation. Squares represent males, circles females.]

Another defect of the eye following the course of a dominant in heredity

is a pigmentary degeneration of the retina known as _retinitis

pigmentosa_. Atrophy of the optic nerve is also involved and the final

result is blindness. Still another example frequently cited is that of

hereditary night blindness (_hemeralopia_), a disease in which the

affected person can not see by any but the brightest light. In most

affected families the final outcome is usually total blindness. One of the

most remarkable pedigrees of defects in man ever collected is one of this

disease published by Nettleship. He succeeded in tracing the defect

through nine generations, back to the seventeenth century. The genealogy

includes 2,116 persons. The character behaves as a single dominant in

males, but frequently, though not always, females may be carriers of the

defect in transmissible form though not exhibiting it themselves. That is,

males in which the condition is simplex (Aa) develop the defect but

females of similar simplex constitution (Aa) frequently do not. It

follows, therefore, that normal males of such strains will have normal

offspring but normal females may have affected children.

[Illustration: FIG. 24

Radiograph (Courtesy of Dr. W. B. Helm) showing a partial syndactyly in

each hand of an individual. Some degree of webbing between the more distal

portions of the affected parts is usual.]

[Illustration: FIG. 25

Pedigree of a family with presenile cataract (black symbols); numbers in

circles indicate unaffected individuals (after Davenport).]

=Other Defects Inherited as Dominants.--=Not to go into details other

defects which behave as dominants or modified dominants in human

inheritance may be mentioned. The following list is not complete and it

must be understood that in some cases the statistics are insufficient to

justify us in making anything but a tentative decision. We may thus

enumerate as dominant over normality: _Achondroplasy_ (abnormally short

limbs with normal head and body); _Keratosis_ (thickening of epidermis);

_Epidermolysis_ (excessive formation of blisters); _Hypotrichosis_

(hairless, toothless condition); _Diabetes insipidus_; _Diabetes

mellitus_; ordinary (not Gower's) _muscular atrophy_; _Glaucoma_ (internal

swelling and pressure of eye-ball); displaced lens; _Coloboma_ (open

suture in iris); spottedness of hair-coat; and corneal opacity.

As a final illustration of a serious malady in man which acts as a

dominant in inheritance, let us take _Huntington's chorea_. Ordinary

_chorea_, or St. Vitus' dance, a disorder characterized by involuntary

muscular movements, is commonly though not always confined to children and

usually ends in recovery, but _Huntington's chorea_ appears typically in

middle life and is a much more dangerous malady. Fig. 26, p. 114,

represents the family history of one of five cases which have been studied

by Doctor Lorenz in the Mendota Hospital for the Insane. All charts which

have been platted of this malady show it to be inherited as a dominant.

This means that half of the children of an individual who carried the

malady in the simplex condition, and all the children of one who carries

it in the duplex condition, are probably marked for this terrible end. And

the true horror of it can only be appreciated by one who has seen the last

stages of the malady. The victim once in its grasp gradually becomes

wrecked in mind and body; the muscular twitchings and disorders of

movement continually increase and dementia progresses until at last death

ensues. Fig. 27, p. 115, is another chart showing inheritance of

_Huntington's chorea_. In still a third case at the Mendota Hospital, the

gravity of the situation can be appreciated when one realizes that the

patient is the father of ten children, ranging in age from one to

seventeen and one-half years. The calamitous fact that this disease does

not manifest itself usually until middle life makes it likely that these

children will all reach maturity, marry and in turn probably produce

offspring before the doomed members of the family realize their fate.

[Illustration: FIG. 26

Chart showing descent of _Huntington's chorea_ in the P---- family

(courtesy of Dr. W. F. Lorenz). Squares represent male, circles female;

shaded figures are choreic members of the family; partially shaded

figures, slightly affected or very "nervous" members. The members of the

last generation are for the most part still too young to show their

condition. The cross indicates the individual in the asylum from whom the

record was traced back.]

CASES OF RECESSIVENESS IN MAN

=Recessive Conditions More Difficult to Deal With Because They Are

Frequently Masked.--=Coming now to the question of recessive conditions in

man, we find that defects are more likely to be of recessive than of

dominant type. Apparently normality usually means the presence of normal

determiners and abnormality, the absence of some essential determiner. In

the latter case, a unit-factor has seemingly been lost out in some way in

the germ-plasm, and the product of such germ-plasm is therefore

incomplete. As long as the loss is counterbalanced by the presence of a

single determiner from the other line of ancestry, that is, as long as the

simplex (Aa) condition prevails, the loss may not be in evidence, except

in cases of incomplete dominance (taints, etc.), but any mating which

permits of the production of the nulliplex condition will bring the defect

to expression again.

[Illustration: FIG. 27

Chart showing inheritance of _Huntington's chorea_ in the R---- family

(courtesy of Dr. W. F. Lorenz); 1, 2 have been patients at Mendota

Hospital for the Insane; 3, died of "paralysis"; the fourth or last

generation indicated by the cross, ranging in age from 6 to 14, are too

young yet to show their condition as regards this malady.]

The obscure nature of recessives makes such conditions more difficult to

deal with than dominant defects. For as regards the latter we have seen

that marriage of unaffected members of the family as far as that

particular trait is concerned, is perfectly safe, even to a cousin, for

once the germ-plasm is purged of such a positive factor, it, in so far as

we know, remains pure. But in the case of a recessive character due to the

absence of some necessary determiner a normal offspring of simplex

constitution (Aa) will probably transmit to half of his children the

capacity for handing on the defect, or if mated to another normal

individual of simplex constitution (Aa) is likely to have the actual

defect revealed again in one-fourth of his children and latent in

two-thirds of the remainder.

=Albinism a Recessive.--=As an easily understood illustration of this type

of case we may take human albinism, a condition which is due to the

absence of a pigment-developing determiner. According to Davenport the

albinic condition is recessive to normal condition. If albino (aa) is

mated with albino (aa) nothing but albino children may be expected. An

albino (aa) mated with a normal individual will have normal offspring

(Aa), but they will have the capacity for transmitting albinism to their

descendants. Thus the normal offspring (Aa) of an albino (aa) and a normal

parent (AA) if mated to another normal individual (Aa) who has also had an

albino parent will probably transmit actual albinism to one-fourth of his

children and the same capacity that he himself has of producing albinos,

to one-half of his children, although the latter will appear to the eye to

be normal.

=Other Recessive Conditions in Man.--=If for albinism we substitute

certain forms of insanity, hereditary feeble-mindedness (Fig. 28, p. 118),

or hereditary epilepsy, all of which apparently follow the same law, we

can readily understand how unfit such matings are where both strains are

affected. Marriage with similarly defective stock will result in the

affection appearing in one-fourth of the progeny, and one-half of them,

though apparently normal themselves, will have the capacity for

transmitting the imperfection. It is in the existence of such hidden

factors that the chief danger in the marriage of cousins, or in fact any

consanguineous marriage lies.

A few of the various defects which seem to be inherited as recessives when

mated with normality are: susceptibility to cancer; _chorea_ (St. Vitus'

dance); true dwarfism (all parts proportionately reduced); _Alkaptonuria_

(urine darkens after passage); alcoholism and criminality, where based on

mental deficiency; hereditary _hysteria_; _multiple sclerosis_ (diffuse

degeneration of nervous tissue); _Friedreich's disease_ (degeneration of

upper part of the spinal cord); _Merriere's disease_ (dizziness and

roaring in ears); _Thomsen's disease_ (lack of muscular tone); hereditary

_ataxia_; possibly the tendency to become hard of hearing with increased

age; and possibly, non-resistance to tuberculosis.

Of non-pathological conditions in man which are inherited as recessives,

apparently either very great or very small intellectual ability are

examples.

[Illustration: FIG. 28

Chart showing descent of feeble-mindedness as a typical recessive (after

Goddard). Squares represent males, circles females; DD, homozygous

dominant; DR, heterozygous dominant (i. e. normal although a carrier); RR,

pure recessive; N, normal; F, feeble-minded; A, alcoholic.]

=Breeding Out Defects.--=Even though recessive defects occur in a stock,

there is the possibility of diluting out the imperfection in successive

generations if care is taken always to marry into a stock wholly free from

it. For example, a normal individual carrying a recessive defect will bear

the abnormality in half of his or her germ-cells. This means that when

such an individual marries a normal, non-carrier, half of their children

will be wholly normal (AA) and half will be carriers; normal but of

simplex constitution (Aa). If now this generation, carriers and

non-carriers, marry only into normal strains of duplex constitution, then

their combined issue will be likewise normal with only one-fourth of them

carriers of the imperfections. This means that even if all of this last

generation were married to persons having the defect only one out of four

would have children showing it although the remaining children would be

carriers. On the other hand if mated to normals only one-eight of the next

generation would be carriers. Thus by continually marrying into strong

strains liability to manifest any recessive defect can be diminished in a

few generations until the descendants are no more likely to have defective

children than are members of our ordinary population.

The proportion in which the recessive defect would appear in successive

generations if all persons in a given generation married only normal

individuals who were non-carriers is indicated in the following table

where AA indicates a normal individual, Aa one who is normal but a

carrier, and aa an individual with the imperfection expressed; to indicate

proportions simply after the first generation, four is arbitrarily chosen

as the number of children which results from each marriage:

Matings Children

Generation 1 aa x AA = Aa

Generation 2 Aa x AA = 2AA + 2Aa

Generation 3 AA x AA = 4AA

AA x AA = 4AA

Aa x AA = 2AA + 2Aa

Aa x AA = 2AA + 2Aa

----------

12AA + 4Aa

=Other Inheritable Conditions in Man.--=While many pedigrees show beyond

dispute that such qualities as musical ability, literary ability, memory,

calculating ability, mechanical skill, longevity, peculiarities of

handwriting, obesity and muscular strength, for example, are inherited,

their modes of inheritance have not yet been sufficiently analyzed to

express them exactly.

Being Well-Born: An Introduction to Eugenics · 第 4 / 11 章