c - usaid
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c - usaid
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15<br />
mathematical space,<br />
then alL vaLues of ASFRts Lying on a plane- of<br />
the type<br />
Y + Y + Y + Y4 + Y5 + Y6 + Y= constant<br />
would satisfy a given TFR target.<br />
At the same time, all values of<br />
ASFR's lying on another plane of the type<br />
I y 1 +a 2 y 2 +a y + +a y +a y +a y = constant<br />
would satisfy a given CBR target.<br />
I hese two pLnoaes are not paraLleL. However, even thu plane<br />
of intersection does not uniquely determine all the ASFR's because<br />
there are only two equations in seven unknowns. This is a<br />
me t.amatical way of saying that, in general, there is no one-toone<br />
correspnndence between a TFR-target and a CBR-torgot.<br />
The<br />
nature of the discrepancy between these twn targets can<br />
ba approximately shown in a two-dimensional geometrical plane if<br />
we pool the seven age-groups in two suitable sub-groups. One<br />
possible way of pooling, which is suggested by real-Life<br />
observations, is to consider 15-28 as one broad age-group, and<br />
30-49 as another broad age-group.<br />
*Let us than introduce the following notationi<br />
W 1 = All women in the age-group 15-29<br />
W 2 = All women in the age-group 30-49<br />
B = Live births to wom3n in the age-group 15-29<br />
B 2 = Live births to women in the age-group 30-49<br />
Then B 1/W is a pooled estimate of' ASFR in the age-group 15-28<br />
which is spread over 15 years. Simi larly, B 2/W is a pooled<br />
estimate of ASFR in the age-group 30-49, which is spread over 20
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