Progeny of uncommon parthenogenetic genotypes of the polyphagous geometric Alsophila pometaria were reared on four host plant species representing the same genus, different confamilial genera, and different families. On the supposition that uncommon asexual genotypes have arisen recently from the sympatric sexual population, they may be viewed as a representation of variation in the sexual population that has been captured by parthenogenesis. In both the laboratory and the field, significant effects of genotype, host, and their interaction were found for survival. Live weight displayed significant effects of genotype, host, and genotype x host interaction in the laboratory, and significant main effects in the field. The broad heritability of live weight within hosts was significantly greater than zero in all cases, ranging from 0.18 to 0.33. Heritability values in the field were similar to those in the laboratory. Genetic correlations between weight attained on pairs of host plants, calculated from uncorrected family means, were all positive and many were statistically significant. When the data were corrected for differences in generalized vigor by taking the deviations from genotype means on a standard host plant, one of nine genetic correlations was significant and positive, and one was significant and negative. Within their limits of precision, these data suggest that genetic factors enhancing performance on one host do not generally have strong antagonistic pleiotropic effects on performance on the other hosts in this population. The relevance of these observations to the evolution of resource specialization in general and host specialization by phytophagous insects in particular is discussed. The common assumption that trade-offs in efficiency of utilization cause the evolution of specialized resource use requires more empirical evidence than seems to exist.