AGRICULTURAL BIOLOGY, 2015, V. 50, ¹ 5, pp. 590-599 ISSN 2412-0324 (English ed. Online) (SEL’SKOKHOZYAISTVENNAYA BIOLOGIYA) ISSN 0131-6397 (Russian ed. Print) ISSN 2313-4836 (Russian ed. Online) Math modeling and instrumental methods in breeding doi: 10.15389/agrobiology.2015.5.590rus doi: 10.15389/agrobiology.2015.5.590eng THE ASSESSMENT OF THE VARIETY AND ROOTSTOCK GENOTYPES INTERACTION IN APPLE ( Borkh.) GRAFTED TREES USING BIOMETRIC METHODS I.A. DRAGAVTSЕVA1, V.A. DRAGAVTSEV1, I.L. EFIMOVA1, S.N. SHCHEGLOV2, V.V. DOMOZHIROVA1, A.S. MORENETS1 Federal Agency of Scientific Organizations, 39, ul. 40 let Pobedy, Krasnodar, 350901 Russia, e-mail i_d@list.ru, dravial@mail.ru, vetch-dv@yandex.ru, efimiril@mail.ru; 149, ul. <...> Stavropol’skaya, Krasnodar, 350040 Russia, e-mail gold_finch@mail.ru Acknowledgements: Supported by Russian Foundation for Basic Research (grant ¹ 13-01-96519-r_yug_a) and the Administration of Krasnodar Krai A b s t r a c t In grafted fruit plants with vegetative propagation the scion (variety) and rootstock influence each other in newly-formed variety-rootstock combination. <...> Under intensive technologies of fruit production based on maximal realization of grafted fruit plants’ bio potential it is very important to obtain accurate knowledge about quantitative traits which characterize productivity and biometrical parameters of fruit plants. <...> To forecast the productivity of apple ( Borkh.) trees, we studied the possibility of math modeling for the prediction of variety and rootstock influence on formation of quantitative traits in grafted plants using formulas offered by biometric genetics to estimate the same indexes in parent forms and their F1 hybrids. <...> The data of apple trees productivity obtained in Prikubanskaya zone of Krasnodar region in 1983 to 2003 years (a total of 22 years) were analyzed. <...> We studied the variety-rootstock combinations (VRC) of four apple varieties (Idared, Golden Delicious, Jonathan, Korah) as scions and seven rootstocks (I-481, I-47-55, I-48-46, M2 , M3, M4, M7) with regard to yields, the width of the crown from North to South and from West to East, the tree height and trunk diameter. <...> An impact of the year conditions, the genotypes of the variety and the rootstock and their interaction on the yield of the variety-rootstock combinations was proven using math statistics. <...> It was shown that the conditions of the year have the greatest effect <...>