Volume Ii Part 16 (2/2)
In the six counties in which there are from 200 to 260 people on the square mile................................399
But we will make another experiment on Mr Sadler's tables, if possible more decisive than any of those which we have hitherto made. We will take the four largest divisions into which he has distributed the English counties, and which follow each other in regular order. That our readers may fully comprehend the nature of that packing by which his theory is supported, we will set before them this part of his table.
(Here follows a table showing for population on a square mile the proportion of births to 100 marriages, based on figures for the years 1810 to 1821.
100 to 150...396 150 to 200...390 200 to 250...388 250 to 300...378)
These averages look well, undoubtedly, for Mr Sadler's theory. The numbers 396, 390, 388, 378, follow each other very speciously in a descending order. But let our readers divide these thirty-four counties into two equal sets of seventeen counties each, and try whether the principle will then hold good. We have made this calculation, and we present them with the following result.
The number of children to 100 marriages is--
In the seventeen counties of England in which there are from 100 to 177 people on the square mile..........387
In the seventeen counties in which there are from 177 to 282 people on the square mile..........389
The difference is small, but not smaller than differences which Mr Sadler has brought forward as proofs of his theory. We say that these English tables no more prove that fecundity increases with the population than that it diminishes with the population. The thirty-four counties which we have taken make up, at least four-fifths of the kingdom: and we see that, through those thirty-four counties, the phenomena are directly opposed to Mr Sadler's principle. That in the capital, and in great manufacturing towns, marriages are less prolific than in the open country, we admit, and Mr Malthus admits. But that any condensation of the population, short of that which injures all physical energies, will diminish the prolific powers of man, is, from these very tables of Mr Sadler, completely disproved.
It is scarcely worth while to proceed with instances, after proofs so overwhelming as those which we have given. Yet we will show that Mr Sadler has formed his averages on the census of Prussia by an artifice exactly similar to that which we have already exposed.
Demonstrating the Law of Population from the Censuses of Prussia at two several Periods.
(Here follows a table showing for inhabitants on a square league the average number of births to each marriage from two different censuses.)
1756 1784
832 to 928...4.34 and 4.72 1175 to 1909...4.14 and 4.45 (including East Prussia at 1175) 2083 to 2700...3.84 and 4.24 3142 to 3461...3.65 and 4.08
Of the census of 1756 we will say nothing, as Mr Sadler, finding himself hard pressed by the argument which we drew from it, now declares it to be grossly defective. We confine ourselves to the census of 1784: and we will draw our lines at points somewhat different from those at which Mr Sadler has drawn his. Let the first compartment remain as it stands.
Let East Prussia, which contains a much larger population than his last compartment, stand alone in the second division. Let the third consist of the New Mark, the Mark of Brandenburg, East Friesland and Guelderland, and the fourth of the remaining provinces. Our readers will find that, on this arrangement, the division which, on Mr Sadler's principle, ought to be second in fecundity stands higher than that which ought to be first; and that the division which ought to be fourth stands higher than that which ought to be third. We will give the result in one view.
The number of births to a marriage is--
In those provinces of Prussia where there are fewer than 1000 people on the square league.......................4.72
In the province in which there are 1175 people on the square league..........................................5.10
In the provinces in which there are from 1190 to 2083 people on the square league............................4.10
In the provinces in which there are from 2314 to 3461 people on the square league............................4.27
We will go no further with this examination. In fact, we have nothing more to examine. The tables which we have scrutinised const.i.tute the whole strength of Mr Sadler's case; and we confidently leave it to our readers to say, whether we have not shown that the strength of his case is weakness.
Be it remembered too that we are reasoning on data furnished by Mr Sadler himself. We have not made collections of facts to set against his, as we easily might have done. It is on his own showing, it is out of his own mouth, that his theory stands condemned.
That packing which we have exposed is not the only sort of packing which Mr Sadler has practised. We mentioned in our review some facts relating to the towns of England, which appear from Mr Sadler's tables, and which it seems impossible to explain if his principles be sound. The average fecundity of a marriage in towns of fewer than 3000 inhabitants is greater than the average fecundity of the kingdom. The average fecundity in towns of from 4000 to 5000 inhabitants is greater than the average fecundity of Warwicks.h.i.+re, Lancas.h.i.+re, or Surrey. How is it, we asked, if Mr Sadler's principle be correct, that the fecundity of Guildford should be greater than the average fecundity of the county in which it stands?
Mr Sadler, in reply, talks about ”the absurdity of comparing the fecundity in the small towns alluded to with that in the counties of Warwick and Stafford, or in those of Lancaster and Surrey.” He proceeds thus--
<script>