c - usaid

This can bo considered as cons istcncy condition (d) ,
to be tagged
on to conditions b) and (c) already specified above.
We have davi seJ a formula which is more general than (4.12)
in the cEns that it contains (4.12) as a specia L cuss but which
is capable of yielding o thor values also in an attempt to
achiave
simu LtanoausG conri stency with TFR and C BR targets.
T ho new formu a i,
u i t] = u () + [u[tI-u(O) + R[u OJ-u(Of ...... (4. 13
whore the t rend-regultorn R can take values between -1 and
u( t uf tI
1. In fact, if R =1, then formula (4.13) collapses
u(O)
u(0)
into formula (4.12 ] .
Tho cons istency condi ti ons (b) and (c] ore satisfied by
formula (4.13] , bocause for any value of R within the spec; fiad
rangoe, tha average of tha right han I tarms is u[ tL , since the
mean of u 0 ) is u 0). Consis tency with TFR is thus retained.
However, there is sti i no guarantee that any of the sets
of values obtai nPd from formulE (4.13] by chooaing Fi will
help in
achievr no consistency with a given CBR target. What we have
go nad
is thr.t chance; of a simultaneous consistency with TFR and
CBR are increased by uuing (4.13] instead of [4.12 . The
situation when R fni Ls to achieve such simultaneous consistency
wi ll ba examined tater . For the pre ent, we want to explore
further what R i s cupnble of doing.
When -1, the formula (4.13] is r educed to
ui t) u k,t .. .. . .. (4 .1 4
which mans uniformity of CPF'1 r in a lL the a ge-group . This is
obviously V Limitin g cane r hich mey neither be feaaible nor