Theoretical analysis of lethal factors in plant populations

In this article, we are interested in the problem of the existence of a few linkage groups in which lethal infertile genes associated with yield factors are present. This hypothesis is supported by the finding of natural balanced lethal systems, which keep a short heterotic chromosome segment. It is very important to predict the number of generations that a balanced lethal system maintains in its linkage, in order to get a permanent heterozygosis without any problem with recombination. For theoretical analysis we have used the theory of absorbing Markov chains, discrete in space and time, because this is well suited to crops like barley. It results from studying some experimental data obtained by Ewald A. Favret in the CICA, INTA, Castelar, Argentina.