ALGORITHMS FOR CONTROL OF GENETIC-BREEDING IMPROVEMENT OF ECONOMICALLY VALUABLE PROPERTIES IN SELF-POLLINATORS I.M. Mikhailenko, V.A. Dragavtsev Agrophysical Research Institute, Russian Academy of Agricultural Sciences, 14, Grazhdanskii prosp., St. Petersburg, 196220 Russia, e-mail: ilya.mihailenko@yandex.ru Received January 11, 2012 S u m m a r y The authors considered the brand new approaches to choose the breeding pairs (varieties) for crossing and prediction of eco-genetic picture of new variety. <...> The algorithm of control of breeding process on the basis of mathematical model for «genotype—environment» interaction was proposed, which consists in successive choose the variants of mutually complementary eco-genetic character of potential parents and prediction of resultant quantitative breeding determinants. <...> Under the control of ecological factors such choose is supplementing by optimization of environment parameters, and it provides the maximal usage of eco-genetic potential and the increase of reliability of identification of progeny genotypes on their phenotypes in the sequel. <...> Quantitative genetics (1) describes phenotypic diversity of any quantitative trait manifested in a splitting population as: vph = vg + ve [1], where vph — phenotypic variance, vg — genotypic variance, and ve — ecological variance caused by differences of environmental conditions for individual plants in population. <...> For a breeder it is important to know genotypic variance of a productive trait, because selection of best genotypic changes and further improvement of these features at vegetative propagation (eg., potatoes, fruit-berry crops) increases productivity, resistance and quality of resulting clones. <...> In grain self-pollinating crops, genotypic variance vg can be easily assessed knowing the variance of mean values of traits manifested by cultivars grown on experimental plots in a breeding center (calculation of mean value of a trait over the plot eliminates all noises; the resulting mean corresponds to genotypic value of the trait, whose observed variance is vg). <...> However, cereal crops can’t be propagated by cloning or grafting, so, for a breeder, any prognoses about genetic improvement of their productivity are possible only upon the data on additive genetic variance (va) of these crops. <...> It is known (1) that vg = va + vd + vi [2], where va — additive variance (caused by additively acting polygenes), vd — genetic variance <...>