Showing the Estimated Prolificness of Marriages in England at the close of the Seventeenth Century.

(In the following table the name of the Place is followed in order by:

Number of Inhabitants.

One Annual Marriage, to.

Number of Marriages.

Children to one Marriage.

Total Number of Births.

London : 530,000 : 106 : 5,000 : 4. : 20,000 Large Towns : 870,000 : 128 : 6,800 : 4.5 : 30,000 Small Towns and Country Places : 4,100,000 : 141 : 29,200 : 4.8 : 140,160 ------------------------------------------- : 5,500,000 : 134 : 41,000 : 4.65 : 190,760

Standing by itself, this table, like most of the others, seems to support Mr Sadler's theory. But surely London, at the close of the seventeenth century, was far more thickly peopled than the kingdom of England now is. Yet the fecundity in London at the close of the seventeenth century was 4; and the average fecundity of the whole kingdom now is not more, according to Mr Sadler, than 3 1/2. Then again, the large towns in 1700 were far more thickly peopled than Westmoreland and the North Riding of Yorkshire now are. Yet the fecundity in those large towns was then 4.5. And Mr Sadler tells us that it is now only 4.2 in Westmoreland and the North Riding.

It is scarcely necessary to say anything about the censuses of the Netherlands, as Mr Sadler himself confesses that there is some difficulty in reconciling them with his theory, and helps out his awkward explanation by supposing, quite gratuitously, as it seems to us, that the official doc.u.ments are inaccurate. The argument which he has drawn from the United States will detain us but for a very short time.

He has not told us,--perhaps he had not the means of telling us,--what proportion the number of births in the different parts of that country bears to the number of marriages. He shows that in the thinly peopled states the number of children bears a greater proportion to the number of grown-up people than in the old states; and this, he conceives, is a sufficient proof that the condensation of the population is unfavourable to fecundity. We deny the inference altogether. Nothing can be more obvious than the explanation of the phenomenon. The back settlements are for the most part peopled by emigration from the old states; and emigrants are almost always breeders. They are almost always vigorous people in the prime of life. Mr Sadler himself, in another part of his book, in which he tries very unsuccessfully to show that the rapid multiplication of the people of America is princ.i.p.ally owing to emigration from Europe, states this fact in the plainest manner:

"Nothing is more certain, than that emigration is almost universally supplied by 'single persons in the beginning of mature life;' nor, secondly, that such persons, as Dr Franklin long ago a.s.serted, 'marry and raise families.'

"Nor is this all. It is not more true, that emigrants, generally speaking, consist of individuals in the prime of life, than that 'they are the most active and vigorous' of that age, as Dr Seybert describes them to be. They are, as it respects the principle at issue, a select cla.s.s, even compared with that of their own age, generally considered.

Their very object in leaving their native countries is to settle in life, a phrase that needs no explanation; and they do so. No equal number of human beings, therefore, have ever given so large or rapid an increase to a community as 'settlers' have invariably done."

It is perfectly clear that children are more numerous in the back settlements of America than in the maritime states, not because unoccupied land makes people prolific, but because the most prolific people go to the unoccupied land.

Mr Sadler having, as he conceives, fully established his theory of population by statistical evidence, proceeds to prove, "that it is in unison, or rather required by the principles of physiology." The difference between himself and his opponents he states as follows:--

"In pursuing this part of my subject, I must begin by reminding the reader of the difference between those who hold the superfecundity of mankind and myself, in regard to those principles which will form the basis of the present argument. They contend, that production precedes population; I, on the contrary, maintain that population precedes, and is indeed the cause of, production. They teach that man breeds up to the capital, or in proportion to the abundance of the food, he possesses: I a.s.sert, that he is comparatively sterile when he is wealthy, and that he breeds in proportion to his poverty; not meaning, however, by that poverty, a state of privation approaching to actual starvation, any more than, I suppose, they would contend, that extreme and culpable excess is the grand patron of population. In a word, they hold that a state of ease and affluence is the great promoter of prolificness. I maintain that a considerable degree of labour, and even privation, is a more efficient cause of an increased degree of human fecundity."

To prove this point, he quotes Aristotle, Hippocrates, Dr Short, Dr Gregory, Dr Perceval, M. Villermi, Lord Bacon, and Rousseau. We will not dispute about it; for it seems quite clear to us that if he succeeds in establishing it he overturns his own theory. If men breed in proportion to their poverty, as he tells us here,--and at the same time breed in inverse proportion to their numbers, as he told us before,--it necessarily follows that the poverty of men must be in inverse proportion to their numbers. Inverse proportion, indeed, as we have shown, is not the phrase which expresses Mr Sadler's meaning. To speak more correctly, it follows, from his own positions, that, if one population be thinner than another, it will also be poorer. Is this the fact? Mr Sadler tells us, in one of those tables which we have already quoted, that in the United States the population is four to a square mile, and the fecundity 5.22 to a marriage, and that in Russia the population is twenty-three to a square mile, and the fecundity 4.94 to a marriage. Is the North American labourer poorer than the Russian boor?

If not, what becomes of Mr Sadler's argument?

The most decisive proof of Mr Sadler's theory, according to him, is that which he has kept for the last. It is derived from the registers of the English Peerage. The peers, he says, and says truly, are the cla.s.s with respect to whom we possess the most accurate statistical information.

"Touching their NUMBER, this has been accurately known and recorded ever since the order has existed in the country. For several centuries past, the addition to it of a single individual has been a matter of public interest and notoriety: this hereditary honour conferring not personal dignity merely, but important privileges, and being almost always identified with great wealth and influence. The records relating to it are kept with the most scrupulous attention, not only by heirs and expectants, but they are appealed to by more distant connections, as conferring distinction on all who can claim such affinity. Hence there are few disputes concerning successions to this rank, but such as go back to very remote periods. In later times, the marriages, births, and deaths, of the n.o.bility, have not only been registered by and known to those personally interested, but have been published periodically, and, consequently, subject to perpetual correction and revision; while many of the most powerful motives which can influence the human mind conspire to preserve these records from the slightest falsification. Compared with these, therefore, all other registers, or reports, whether of sworn searchers or others, are incorrectness itself."

Mr Sadler goes on to tell us that the peers are a marrying cla.s.s, and that their general longevity proves them to be a healthy cla.s.s. Still peerages often become extinct;--and from this fact he infers that they are a sterile cla.s.s. So far, says he, from increasing in geometrical progression, they do not even keep up their numbers. "Nature interdicts their increase."

"Thus," says he, "in all ages of the world, and in every nation of it, have the highest ranks of the community been the most sterile, and the lowest the most prolific. As it respects our own country, from the lowest grade of society, the Irish peasant, to the highest, the British peer, this remains a conspicuous truth; and the regulation of the degree of fecundity conformably to this principle, through the intermediate gradations of society, const.i.tutes one of the features of the system developed in these pages."

We take the issue which Mr Sadler has himself offered. We agree with him, that the registers of the English Peerage are of far higher authority than any other statistical doc.u.ments. We are content that by those registers his principle should be judged. And we meet him by positively denying his facts. We a.s.sert that the English n.o.bles are not only not a sterile, but an eminently prolific, part of the community.

Mr Sadler concludes that they are sterile, merely because peerages often become extinct. Is this the proper way of ascertaining the point? Is it thus that he avails himself of those registers on the accuracy and fulness of which he descants so largely? Surely his right course would have been to count the marriages, and the number of births in the Peerage. This he has not done;--but we have done it. And what is the result?

It appears from the last edition of Debrett's "Peerage", published in 1828, that there were at that time 287 peers of the United Kingdom, who had been married once or oftener. The whole number of marriages contracted by these 287 peers was 333. The number of children by these marriages was 1437,--more than five to a peer,--more than 4.3 to a marriage,--more, that is to say, than the average number in those counties of England in which, according to Mr Sadler's own statement, the fecundity is the greatest.

But this is not all. These marriages had not, in 1828, produced their full effect. Some of them had been very lately contracted. In a very large proportion of them there was every probability of additional issue. To allow for this probability, we may safely add one to the average which we have already obtained, and rate the fecundity of a n.o.ble marriage in England at 5.3;--higher than the fecundity which Mr Sadler a.s.signs to the people of the United States. Even if we do not make this allowance, the average fecundity of marriages of peers is higher by one-fifth than the average fecundity of marriages throughout the kingdom. And this is the sterile cla.s.s! This is the cla.s.s which "Nature has interdicted from increasing!" The evidence to which Mr Sadler has himself appealed proves that his principle is false,--utterly false,--wildly and extravagantly false. It proves that a cla.s.s, living during half of every year in the most crowded population in the world, breeds faster than those who live in the country;--that the cla.s.s which enjoys the greatest degree of luxury and ease breeds faster than the cla.s.s which undergoes labour and privation. To talk a little in Mr Sadler's style, we must own that we are ourselves surprised at the results which our examination of the peerage has brought out. We certainly should have thought that the habits of fashionable life, and long residence even in the most airy parts of so great a city as London, would have been more unfavourable to the fecundity of the higher orders than they appear to be.

Peerages, it is true, often become extinct. But it is quite clear, from what we have stated, that this is not because peeresses are barren.

There is no difficulty in discovering what the causes really are. In the first place, most of the t.i.tles of our n.o.bles are limited to heirs male; so that, though the average fecundity of a n.o.ble marriage is upwards of five, yet, for the purpose of keeping up a peerage, it cannot be reckoned at much more than two and a half. Secondly, though the peers are, as Mr Sadler says, a marrying cla.s.s, the younger sons of peers are decidedly not a marrying cla.s.s; so that a peer, though he has at least as great a chance of having a son as his neighbours, has less chance than they of having a collateral heir.

We have now disposed, we think, of Mr Sadler's principle of population.

Our readers must, by this time, be pretty well satisfied as to his qualifications for setting up theories of his own. We will, therefore, present them with a few instances of the skill and fairness which he shows when he undertakes to pull down the theories of other men. The doctrine of Mr Malthus, that population, if not checked by want, by vice, by excessive mortality, or by the prudent self-denial of individuals, would increase in a geometric progression, is, in Mr Sadler's opinion, at once false and atrocious.

"It may at once be denied," says he, "that human increase proceeds geometrically; and for this simple but decisive reason, that the existence of a geometrical ratio of increase in the works of nature is neither true nor possible. It would fling into utter confusion all order, time, magnitude, and s.p.a.ce."

This is as curious a specimen of reasoning as any that has been offered to the world since the days when theories were founded on the principle that nature abhors a vacuum. We proceed a few pages further, however; and we then find that geometric progression is unnatural only in those cases in which Mr Malthus conceives that it exists; and that, in all cases in which Mr Malthus denies the existence of a geometric ratio, nature changes sides, and adopts that ratio as the rule of increase.

Mr Malthus holds that subsistence will increase only in an arithmetical ratio. "As far as nature has to do with the question," says Mr Sadler, "men might, for instance, plant twice the number of peas, and breed from a double number of the same animals, with equal prospect of their multiplication." Now, if Mr Sadler thinks that, as far as nature is concerned, four sheep will double as fast as two, and eight as fast as four, how can he deny that the geometrical ratio of increase does exist in the works of nature? Or has he a definition of his own for geometrical progression, as well as for inverse proportion?

Mr Malthus, and those who agree with him, have generally referred to the United States, as a country in which the human race increases in a geometrical ratio, and have fixed on thirty-five years as the term in which the population of that country doubles itself. Mr Sadler contends that it is physically impossible for a people to double in twenty-five years; nay, that thirty-five years is far too short a period,--that the Americans do not double by procreation in less than forty-seven years,--and that the rapid increase of their numbers is produced by emigration from Europe.

Emigration has certainly had some effect in increasing the population of the United States. But so great has the rate of that increase been that, after making full allowance for the effect of emigration, there will be a residue, attributable to procreation alone, amply sufficient to double the population in twenty-five years.

Mr Sadler states the results of the four censuses as follows:--

"There were, of white inhabitants, in the whole of the United States in 1790, 3,093,111; in 1800, 4,309,656; in 1810, 5,862,093; and in 1820, 7,861,710. The increase, in the first term, being 39 per cent.; that in the second, 36 per cent.; and that in the third and last, 33 per cent.

It is superfluous to say, that it is utterly impossible to deduce the geometric theory of human increase, whatever be the period of duplication, from such terms as these."

Mr Sadler is a bad arithmetician. The increase in the last term is not as he states it, 33 per cent., but more than 34 per cent. Now, an increase of 32 per cent. in ten years, is more than sufficient to double the population in twenty-five years. And there is, we think, very strong reason to believe that the white population of the United States does increase by 32 per cent. every ten years.

Our reason is this. There is in the United States a cla.s.s of persons whose numbers are not increased by emigration,--the negro slaves. During the interval which elapsed between the census of 1810 and the census of 1820, the change in their numbers must have been produced by procreation, and by procreation alone. Their situation, though much happier than that of the wretched beings who cultivate the sugar plantations of Trinidad and Demerara, cannot be supposed to be more favourable to health and fecundity than that of free labourers. In 1810, the slave-trade had been but recently abolished; and there were in consequence many more male than female slaves,--a circ.u.mstance, of course, very unfavourable to procreation. Slaves are perpetually pa.s.sing into the cla.s.s of freemen; but no freeman ever descends into servitude; so that the census will not exhibit the whole effect of the procreation which really takes place.

We find, by the census of 1810, that the number of slaves in the Union was then 1,191,000. In 1820, they had increased to 1,538,000. That is to say, in ten years, they had increased 29 per cent.--within three per cent. of that rate of increase which would double their numbers in twenty-five years. We may, we think, fairly calculate that, if the female slaves had been as numerous as the males, and if no manumissions had taken place, the census of the slave population would have exhibited an increase of 32 per cent. in ten years.

If we are right in fixing on 32 per cent. as the rate at which the white population of America increases by procreation in ten years, it will follow that, during the last ten years of the eighteenth century, nearly one-sixth of the increase was the effect of emigration; from 1800 to 1810, about one-ninth; and from 1810 to 1820, about one-seventeenth.

This is what we should have expected; for it is clear that, unless the number of emigrants be constantly increasing, it must, as compared with the resident population, be relatively decreasing. The number of persons added to the population of the United States by emigration, between 1810 and 1820, would be nearly 120,000. From the data furnished by Mr Sadler himself, we should be inclined to think that this would be a fair estimate.

"Dr Seybert says, that the pa.s.sengers to ten of the princ.i.p.al ports of the United States, in the year 1817, amounted to 22,235; of whom 11,977 were from Great Britain and Ireland; 4164 from Germany and Holland; 1245 from France; 58 from Italy, 2901 from the British possessions in North America; 1569 from the West Indies; and from all other countries, 321.

These, however, we may conclude, with the editor of Styles's Register, were far short of the number that arrived."

We have not the honour of knowing either Dr Seybert or the editor of Styles's Register. We cannot, therefore, decide on their respective claims to our confidence so peremptorily as Mr Sadler thinks fit to do.

Nor can we agree to what Mr Sadler very gravely a.s.signs as a reason for disbelieving Dr Seyberts's testimony. "Such accounts," he says, "if not wilfully exaggerated, must always fall short of the truth." It would be a curious question of casuistry to determine what a man ought to do in a case in which he cannot tell the truth except by being guilty of wilful exaggeration. We will, however, suppose, with Mr Sadler, that Dr Seybert, finding himself compelled to choose between two sins, preferred telling a falsehood to exaggerating; and that he has consequently underrated the number of emigrants. We will take it at double of the Doctor's estimate, and suppose that, in 1817, 45,000 Europeans crossed to the United States. Now, it must be remembered that the year 1817 was a year of the severest and most general distress all over Europe,--a year of scarcity everywhere, and of cruel famine in some places. There can, therefore, be no doubt that the emigration of 1817 was very far above the average, probably more than three times that of an ordinary year. Till the year 1815, the war rendered it almost impossible to emigrate to the United States either from England or from the Continent.

If we suppose the average emigration of the remaining years to have been 16,000, we shall probably not be much mistaken. In 1818 and 1819, the number was certainly much beyond that average; in 1815 and 1816, probably much below it. But, even if we were to suppose that, in every year from the peace to 1820, the number of emigrants had been as high as we have supposed it to be in 1817, the increase by procreation among the white inhabitants of the United States would still appear to be about 30 per cent. in ten years.

Mr Sadler acknowledges that Cobbett exaggerates the number of emigrants when he states it at 150,000 a year. Yet even this estimate, absurdly great as it is, would not be sufficient to explain the increase of the population of the United States on Mr Sadler's principles. He is, he tells us, "convinced that doubling in 35 years is a far more rapid duplication than ever has taken place in that country from procreation only." An increase of 20 per cent. in ten years, by procreation, would therefore be the very utmost that he would allow to be possible. We have already shown, by reference to the census of the slave population, that this doctrine is quite absurd. And, if we suppose it to be sound, we shall be driven to the conclusion that above eight hundred thousand people emigrated from Europe to the United States in a s.p.a.ce of little more than five years. The whole increase of the white population from 1810 to 1820 was within a few hundreds of 2,000,000. If we are to attribute to procreation only 20 per cent. on the number returned by the census of 1810, we shall have about 830,000 persons to account for in some other way;--and to suppose that the emigrants who went to America between the peace of 1815 and the census of 1820, with the children who were born to them there, would make up that number, would be the height of absurdity.

We could say much more; but we think it quite unnecessary at present. We have shown that Mr Sadler is careless in the collection of facts,--that he is incapable of reasoning on facts when he has collected them,--that he does not understand the simplest terms of science,--that he has enounced a proposition of which he does not know the meaning,--that the proposition which he means to enounce, and which he tries to prove, leads directly to all those consequences which he represents as impious and immoral,--and that, from the very doc.u.ments to which he has himself appealed, it may be demonstrated that his theory is false. We may, perhaps, resume the subject when his next volume appears. Meanwhile, we hope that he will delay its publication until he has learned a little arithmetic, and unlearned a great deal of eloquence.

SADLER'S REFUTATION REFUTED. (January 1831.)

"A Refutation of an Article in the Edinburgh Review (No.

CII.) ent.i.tled, 'Sadler's Law of Population, and disproof of Human Superfecundity;' containing also Additional Proofs of the Principle enunciated in that Treatise, founded on the Censuses of different Countries recently published." By Michael Thomas Sadler, M.P. 8vo. London: 1830.

"Before anything came out against my Essay, I was told I must prepare myself for a storm coming against it, it being resolved by some men that it was necessary that book of mine should, as it is phrased, be run down."--John Locke.

We have, in violation of our usual practice, transcribed Mr Sadler's t.i.tle-page from top to bottom, motto and all. The parallel implied between the Essay on the Human Understanding and the Essay on Superfecundity is exquisitely laughable. We can match it, however, with mottoes as ludicrous. We remember to have heard of a dramatic piece, ent.i.tled "News from Camperdown," written soon after Lord Duncan's victory, by a man once as much in his own good graces as Mr Sadler is, and now as much forgotten as Mr Sadler will soon be, Robert Heron. His piece was brought upon the stage, and d.a.m.ned, "as it is phrased," in the second act; but the author, thinking that it had been unfairly and unjustly "run down," published it, in order to put his critics to shame, with this motto from Swift: "When a true genius appears in the world, you may know him by this mark--that the dunces are all in confederacy against him." We remember another anecdote, which may perhaps be acceptable to so zealous a churchman as Mr Sadler. A certain Antinomian preacher, the oracle of a barn, in a county of which we do not think it proper to mention the name, finding that divinity was not by itself a sufficiently lucrative profession, resolved to combine with it that of dog-stealing. He was, by ill-fortune, detected in several offences of this description, and was in consequence brought before two justices, who, in virtue of the powers given them by an act of parliament, sentenced him to a whipping for each theft. The degrading punishment inflicted on the pastor naturally thinned the flock; and the poor man was in danger of wanting bread. He accordingly put forth a handbill solemnly protesting his innocence, describing his sufferings, and appealing to the Christian charity of the public; and to his pathetic address he prefixed this most appropriate text: "Thrice was I beaten with rods.--St Paul's Epistle to the Corinthians." He did not perceive that, though St Paul had been scourged, no number of whippings, however severe, will of themselves ent.i.tle a man to be considered as an apostle.