• . C 1 
In Lond’on, then, half die under three years of 
age, and in Madeira about t^joo-thirds of all who are 
and marriage fo much encouraged, as that half all who are born 
live to be married, the annual births and burials muft be equals 
and alfo quadruple the number of weddings, after allowing for 
ad and 3d marriages. Suppofe in thefe circumftances (every 
thing clfe remaining the fame) the probabilities of life^ during its 
firft ftages, to be improved. In this cafe, more than half the 
born will live to be married, and an increafe will take place. 
The births will exceed the burials, and both fall below quadruple 
the weddings ; or, which is the fame, below double the number 
annually married. Suppofe next probabilities of life the 
encouragement to marriage remaining the fame) the prolificknefs only 
of the marriages to be improved. In this cafe it is plain, that an 
increafe alfo will take place; but the annual births and burials, 
inftcad of being lefs, will now both rife above quadruple the 
weddings, and therefore the proportion of the born to that part 
of the born who marry (being by fuppofition two to one) w’ill be 
lefs than the proportion of either the annual births or the anntwl 
burials to the number marrying Suppofe again (the, • 
encouragement to marriage remaining the fame) that probabi- 
lities of life ViuA \\\t proUfeknefs of tnarriages are both improved. 
In this cafe, a more rapid increafe will take place, or a greater 
excefs of the births above the burials ; but at the fame time they 
will keep nearer to quadruple the weddings, than if the latter 
caufe only had operated, and produced the fame increafe. 
■(hould be too minute and tedious, were I to explain thefe obferva- 
tions at large. It follows from them, that, in every country or 
fituation where, for a courfe of years, the burials have been 
either equal to or lefs than the births, and both under quadruple 
the marriages ; and alfo that wherever the burials are lefs than 
quadruple the annual marriages, and at the fame time the births 
greater, there the major part of all that are born live to marry. 
In the inftance which I have confidered above, and which occa- 
fions this note, the annual births are fo much greater than 
quadruple the marriages, and at the fame time the annual burials 
fo much lefs, that the proportion that lives to marry of thofe who 
are born can fcarcely be much lefs than I have faid, or two- 
thirds. 
born • 
