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 twenty-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 fortyseven 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 twentyfive 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 class 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 circumstance, of course, very unfavourable to procreation. Slaves are perpetually passing into the class 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 in.. creased 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 oneninth; 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 passengers to ten of the principal 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 assigns as a reason for disbelieving Dr. Seybert'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 over all 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 space 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 documents 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 cloquence.

JOHN BUNYAN. (DECEMBER, 1830.)

The Pilgrim's Progress, with a Life of John Bunyan. By ROBERT SOUTHEY, Esq. LL.D. Poet-Laureate. Illustrated with Engravings. 8vo. London: 1830.

THIS is an eminently beautiful and splendid edition of a book which well deserves all that the printer and the engraver can do for it. The Life of Bunyan is, of course, not a performance which can add much to the literary reputation of such a writer as Mr. Southey. But it is written in excellent English, and, for the most part, in an excellent spirit. Mr. Southey propounds, we need not say, many opinions from which we altogether dissent; and his attempts to excuse the odious persecution to which Bunyan was subjected have sometimes moved our indignation. But we will avoid this topic. We are at present much more inclined to join in paying homage to the genius of a great man than to engage in a controversy concerning church-government and toleration.

We must not pass without notice the engravings with which this volume is decorated. Some of Mr. Heath's woodcuts are admirably designed and executed. Mr. Martin's illustrations do not please us quite so well. His Valley of the Shadow of Death is not that Valley of the Shadow of Death which Bunyan imagined. At all events, it is not that dark and horrible glen which has from childhood been in our mind's eye. The valley is a cavern: the quagmire is a lake: the straight path runs zigzag: and Christian appears like a speck in the darkness of the immense vault. We miss, too, those hideous forms which make so striking a part of the description of Bunyan, and which Salvator Rosa would have loved to draw. It is with unfeigned diffidence that we pronounce judgment on any question relating to the art of painting. But it appears to us that Mr. Martin has not of late been fortunate in his choice of subjects. He should never have attempted to illustrate the Paradise Lost. There can be no two manners more directly opposed to each other than the