M. Lascoux et A. Kremer, EFFECT OF THE PURPOSIVE CHOICE OF FAMILIES ON THE ESTIMATES OF THE JUVENILE MATURE CORRELATION DERIVED FROM RETROSPECTIVE TESTS, Canadian journal of forest research, 24(4), 1994, pp. 756-761
Retrospective tests have been widely used during the last decade to ad
dress early selection of forest trees. The main goal of retrospective
testing is to derive estimates of juvenile-mature correlations for a g
roup of families that have already been tested in the field at the mat
ure stage. The families were sometimes purposefully chosen to represen
t contrasted growth abilities. The aim of the present study is to show
that the purposive selection of the families substantially influences
the value of the estimate of the juvenile-mature correlation. We assu
me that the regression between the mature and juvenile stages is linea
r with constant residual variance. Under this assumption, a formula is
derived that permits the correlation estimated through retrospective
tests with purposive selection of the individuals to be related to the
correlation in the whole population. An example with forest trees is
given, and the implications of the results for future research are dis
cussed. It is concluded that correlations estimated from retrospective
tests whose families are purposefully chosen should be used with caut
ion or that their computation should simply be avoided. Alternative ap
proaches are suggested.