Miscellaneous Writings and Speeches — Volume 2

We were perfectly acquainted with the extent as well as with the name of a hecatare. Is it at all strange that we should use the words "250, or rather more," in speaking of 258 and a fraction? Do not people constantly employ round numbers with still greater looseness, in translating foreign distances and foreign money? If indeed, as Mr Sadler says, the difference which he chooses to call an error involved the entire argument, or any part of the argument, we should have been guilty of gross unfairness. But it is not so. The difference between 258 and 250, as even Mr Sadler would see if he were not blind with fury, was a difference to his advantage. Our point was this. The fecundity of a dense population in certain departments of France is greater than that of a thinly scattered population in certain counties of England. The more dense, therefore, the population in those departments of France, the stronger was our case. By putting 250, instead of 258, we understated our case. Mr Sadler's correction of our orthography leads us to suspect that he knows very little of Greek; and his correction of our calculation quite satisfies us that he knows very little of logic.

But, to come to the gist of the controversy. Our argument, drawn from Mr Sadler's own tables, remains absolutely untouched. He makes excuses indeed; for an excuse is the last thing that Mr Sadler will ever want. There is something half laughable and half provoking in the facility with which he asserts and retracts, says and unsays, exactly as suits his argument. Sometimes the register of baptisms is imperfect, and sometimes the register of burials. Then again these registers become all at once exact almost to an unit. He brings forward a census of Prussia in proof of his theory. We show that it directly confutes his theory; and it forthwith becomes "notoriously and grossly defective." The census of the Netherlands is not to be easily dealt with; and the census of the Netherlands is therefore pronounced inaccurate. In his book on the Law of Population, he tells us that "in the slave-holding States of America, the male slaves constitute a decided majority of that unfortunate class." This fact we turned against him; and, forgetting that he had himself stated it, he tells us that "it is as erroneous as many other ideas which we entertain," and that "he will venture to assert that the female slaves were, at the nubile age, as numerous as the males." The increase of the negroes in the United States puzzles him; and he creates a vast slave-trade to solve it. He confounds together things perfectly different; the slave-trade carried on under the American flag, and the slave-trade carried on for the supply of the American soil,—the slave-trade with Africa, and the internal slave-trade between the different States. He exaggerates a few occasional acts of smuggling into an immense and regular importation, and makes his escape as well as he can under cover of this hubbub of words. Documents are authentic and facts true precisely in proportion to the support which they afford to his theory. This is one way, undoubtedly, of making books; but we question much whether it be the way to make discoveries.

As to the inconsistencies which we pointed out between his theory and his own tables, he finds no difficulty in explaining them away or facing them out. In one case there would have been no contradiction if, instead of taking one of his tables, we had multiplied the number of three tables together, and taken the average. Another would never have existed if there had not been a great migration of people into Lancashire. Another is not to be got over by any device. But then it is very small, and of no consequence to the argument.

Here, indeed, he is perhaps right. The inconsistencies which we noticed, were, in themselves, of little moment. We give them as samples,—as mere hints, to caution those of our readers who might also happen to be readers of Mr Sadler against being deceived by his packing. He complains of the word packing. We repeat it; and, since he has defied us to the proof, we will go fully into the question which, in our last article, we only glanced at, and prove, in such a manner as shall not leave even to Mr Sadler any shadow of excuse, that his theory owes its speciousness to packing, and to packing alone.

That our readers may fully understand our reasoning, we will again state what Mr Sadler's proposition is. He asserts that, on a given space, the number of children to a marriage becomes less and less as the population becomes more and more numerous.

We will begin with the census of France given by Mr Sadler. By joining the departments together in combinations which suit his purpose, he has contrived to produce three tables, which he presents as decisive proofs of his theory.

The first is as follows:—

"The legitimate births are, in those departments where there are to each inhabitant—

Hectares       Departments   To every 1000 marriages

4    to 5           2               130

3    to 4           3              4372

2    to 3          30              4250

1    to 2          44              4234

06 to 1           5              4146

06                1              2657

The two other computations he has given in one table. We subjoin it.

Hect. to each  Number of    Legit. Births to   Legit. Births to

Inhabitant     Departments   100 Marriages      100 Mar. (1826)

4 to 5             2              497                397

3 to 4             3              439                389

2 to 3            30              424                379

1 to 2            44              420                375

under 1            5              415                372

and .06            1              263                253

These tables, as we said in our former article, certainly look well for Mr Sadler's theory. "Do they?" says he. "Assuredly they do; and in admitting this, the Reviewer has admitted the theory to be proved." We cannot absolutely agree to this. A theory is not proved, we must tell Mr Sadler, merely because the evidence in its favour looks well at first sight. There is an old proverb, very homely in expression, but well deserving to be had in constant remembrance by all men, engaged either in action or in speculation—"One story is good till another is told!"

We affirm, then, that the results which these tables present, and which seem so favourable to Mr Sadler's theory, are produced by packing, and by packing alone.

In the first place, if we look at the departments singly, the whole is in disorder. About the department in which Paris is situated there is no dispute: Mr Malthus distinctly admits that great cities prevent propagation. There remain eighty-four departments; and of these there is not, we believe, a single one in the place which, according to Mr Sadler's principle, it ought to occupy.

That which ought to be highest in fecundity is tenth in one table, fourteenth in another, and only thirty-first according to the third. That which ought to be third is twenty-second by the table, which places it highest. That which ought to be fourth is fortieth by the table, which places it highest. That which ought to be eighth is fiftieth or sixtieth. That which ought to be tenth from the top is at about the same distance from the bottom. On the other hand, that which, according to Mr Sadler's principle, ought to be last but two of all the eighty-four is third in two of the tables, and seventh in that which places it lowest; and that which ought to be last is, in one of Mr Sadler's tables, above that which ought to be first, in two of them, above that which ought to be third, and, in all of them, above that which ought to be fourth.

By dividing the departments in a particular manner, Mr Sadler has produced results which he contemplates with great satisfaction. But, if we draw the lines a little higher up or a little lower down, we shall find that all his calculations are thrown into utter confusion; and that the phenomena, if they indicate anything, indicate a law the very reverse of that which he has propounded.

Let us take, for example, the thirty-two departments, as they stand in Mr Sadler's table, from Lozere to Meuse inclusive, and divide them into two sets of sixteen departments each. The set from Lozere and Loiret inclusive consists of those departments in which the space to each inhabitant is from 3.8 hecatares to 2.42. The set from Cantal to Meuse inclusive consists of those departments in which the space to each inhabitant is from 2.42 hecatares to 2.07. That is to say, in the former set the inhabitants are from 68 to 107 on the square mile, or thereabouts. In the latter they are from 107 to 125. Therefore, on Mr Sadler's principle, the fecundity ought to be smaller in the latter set than in the former. It is, however, greater, and that in every one of Mr Sadler's three tables.

Let us now go a little lower down, and take another set of sixteen departments—those which lie together in Mr Sadler's tables, from Herault to Jura inclusive. Here the population is still thicker than in the second of those sets which we before compared. The fecundity, therefore, ought, on Mr Sadler's principle, to be less than in that set. But it is again greater, and that in all Mr Sadler's three tables. We have a regularly ascending series, where, if his theory had any truth in it, we ought to have a regularly descending series. We will give the results of our calculation.

The number of children to 1000 marriages is—

1st Table  2nd Table  3rd Table

In the sixteen departments where

there are from 68 to 107 people

on a square mile................   4188        4226       3780

In the sixteen departments where

there are from 107 to 125 people

on a square mile................   4374        4332       3855

In the sixteen departments where

there are from 134 to 155 people

on a square mile................   4484        4416       3914

We will give another instance, if possible still more decisive. We will take the three departments of France which ought, on Mr Sadler's principle, to be the lowest in fecundity of all the eighty-five, saving only that in which Paris stands; and we will compare them with the three departments in which the fecundity ought, according to him, to be greater than in any other department of France, two only excepted. We will compare Bas Rhin, Rhone, and Nord, with Lozere, Landes, and Indre. In Lozere, Landes, and Indre, the population is from 68 to 84 on the square mile or nearly so. In Bas Rhin, Rhone, and Nord, it is from 300 to 417 on the square mile. There cannot be a more overwhelming answer to Mr Sadler's theory than the table which we subjoin:

The number of births to 1000 marriages is—

1st Table  2nd Table  3rd Table

In the three departments in which

there are from 68 to 84 people

on the square mile...............  4372        4390       3890

In the three departments in which

there are from 300 to 417 people