The objective of this paper was to estimate the heritability coefficients b
y the univariate method and genetic prediction by the multivariate method,
as well as to compare the genetic gain obtained by individual and combined
selection between and within progenies, in rubber tree (Hevea brasiliensis
Willd. ex Adr. de Juss.) Muell. Arg.). Twenty two half-sib progenies were e
stablished at the Experimental Station, in Votuporanga, Sao Paulo State, Br
azil, following the randomized block design, with five replications and ten
plants per plot. Three years after planting, number of latex vessel rings
(NR), yield of dry rubber (YB), bark thickness (BT) and stalk circumference
(SC) were evaluated. The results showed significant variability among prog
enies for YB, BT and SC characters. The heritability coefficients and genet
ic prediction to progenies level were high, with expressive values for the
genetic prediction coefficients. Additional genetic gains were obtained by
combined selection. Although the genetic gains had been small, this method
is recommended, because it gives a better improvement and genetic gain. The
most expressive values of improvement and genetic gain were estimated by m
ultivariate method.