Methods to predict transgressive segregation in barley and other self-pollinated crops

Most of agronomically important characters are biometric traits. An improvement of these traits in cultivated plants by deriving segregants superior to parents, which could be developed as cultivars, is a main goal in breeding of self-pollinated crops. Two problems need to be solved: when will the progeny be better than its parents and how can a genetic potential of a given pair of parental genotypes be predicted? In this paper, transgressive segregation in homozygous barley populations is shortly reviewed. Various approaches to choosing parental forms are shown, and a theoretical method for predicting the frequency of transgressive segregants in a homozygous population is presented. Additionally, relationships between parental diversity estimated with molecular markers and the progeny performance are discussed. Although the prediction of transgressive segregation is still a problem, it seems promising to apply an approach measuring the performance of the parental genotypes and estimating their genetic distance by molecular markers.