"Where the inhabitants are found to be on the square mile—
From To Counties Number of births per 100 marriages
50 100 2 420
100 150 9 396
150 200 16 390
200 250 4 388
250 300 5 378
300 350 3 353
500 600 2 331
4000 and upwards 1 246
Having given this table, he begins, as usual, to boast and triumph. "Were there not another document on the subject in existence," says he, "the facts thus deduced from the census of England are sufficient to demonstrate the position, that the fecundity of human beings varies inversely as their numbers." In no case would these facts demonstrate that the fecundity of human beings varies inversely as their numbers in the right sense of the words inverse variation. But certainly they would, "if there were no other document in existence," appear to indicate something like what Mr Sadler means by inverse variation. Unhappily for him, however, there are other documents in existence; and he has himself furnished us with them. We will extract another of his tables:—
TABLE LXIV.
Showing the Operation of the Law of Population in the different Hundreds of the County of Lancaster.
(In the following table the name of the Hundred is followed in order by:
Population on each Square Mile.
Square Miles.
Population in 1821, exclusive of Towns of separate Jurisdiction.
Marriages from 1811 to 1821.
Baptisms from 1811 to 1821.
Baptisms to 100 Marriages.)
Lonsdale : 96 : 441 : 42,486 : 3,651 : 16,129 : 442
Almondness : 267 : 228 : 60,930 : 3,670 : 15,228 : 415
Leyland : 354 : 126 : 44,583 : 2,858 : 11,182 : 391
West Derby : 409 : 377 : 154,040 : 24,182 : 86,407 : 357
Blackburn : 513 : 286 : 146,608 : 10,814 : 31,463 : 291
Salford : 869 : 373 : 322,592 : 40,143 : 114,941 : 286
Mr Sadler rejoices much over this table. The results, he says, have surprised himself; and, indeed, as we shall show, they might well have done so.
The result of his inquiries with respect to France he presents in the following table:
"In those departments where there are to each inhabitant—