Evolution cannot proceed without phenotypic variation for selection to act on. This is particularly true of ontogenetic parameters because it is changes in these parameters that give rise to new phenotypes. I analyzed the amount and dimensionality of phenotypic variation on growth trajectories in early ontogeny in three species of finches (Fringillidae) using the recently developed infinite-dimensional model. For two species, eight traits were analyzed, and for a third, six traits. Growth data were analyzed only up to 6 d of age in two species and 8 d of age in the third. The results were very similar for all species and traits. A very large proportion of the phenotypic variation in growth trajectories was confined to a single dimension. This dimension corresponded to a simultaneous increase/decrease at all ages in early ontogeny. The eigenfunctions, each describing a family of similar-shaped growth trajectories, were highly collinear among traits. A high covariance existed among traits at the same and different ages. If some part of the phenotypic variation has an additive genetic basis, then any selection for a change in size at one age in one trait will lead to a response in a size at subsequent ages and in the other traits. This in turn suggests that morphological evolution frequently will move along a multivariate size axis, as has indeed been found in several taxa.