Least squares means, genetic and phenotypic standard deviations, and phenotypic coefficients of variation were estimated for growth, size, condition score, age at puberty, gestation length, and calving difficulty as traits of individual females from 12 breed groups combined, for nine purebreds combined, and for the F1, F2, and F3 generations of three composite populations to which the nine purebreds contributed. Heritabilities and genetic and phenotypic correlations were estimated for growth and size traits, age at puberty, gestation length, and calving difficulty of calves with dams of different ages. Coefficients of variation and genetic standard deviations were similar for composites and contributing purebreds for the traits evaluated. Generally, estimates of heritability were similar for all breed groups combined, contributing purebreds combined, and composites combined. Estimates of heritability for calving difficulty were higher for calves with 2-yr-old dams than for calves with dams > or = 3 yr old and were sufficiently high (.33 and .26) to be a useful selection criterion for reducing calving difficulty. Estimate of heritability for age at puberty was .31 and for gestation length was .45. The rg between birth weight and calving difficulty score was higher for calves with 2-yr-old dams (.59) than for calves with dams > or = 3 yr old (.44). The higher genetic correlation between birth weight and calving difficulty score (.59) in calves with 2-yr-old dams than between birth weight and 368-d weight (.33) suggests opportunity to reduce calving difficulty by reducing birth weight while maintaining 368-d weight.(ABSTRACT TRUNCATED AT 250 WORDS)