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.