MODELOS BAYESIANOS PARA ESTIMAÇÃO DE ACÚMULO DE NPK DA CANA-DE-AÇÚCAR (Saccharum spp.) EM SISTEMA IRRIGADO DE PRODUÇÃO NA ZONA DA MATA DE PERNAMBUCO

The present experiment had as objective to evaluate after the effect of different doses of N, P and K, applied in cover, in the development of sugarcane, in which it proposes to describe models with application of Bayesian methodology to estimate in the three the percentage of relative accumulation of N, P and K by aerial part of the plant, emphasizing the number of days after planting (DAP) of ten sugarcane varieties (Saccharum spp. (SP79-1011, RB813804, RB863129, RB872552 and RB943365) and five of medium to late maturity (RB72454, RB763710, SP78-4764, SP81-3250 and RB867515) from the Genetic Improvement Program (PMGCA), located in the agricultural area of the Experimental Station of Sugar Cane Sugarcane (EECAC), research unit of the Federal Rural University of Pernambuco (UFRPE), located in the municipality of Carpina, 56 km of Recife, with latitude 7o 51 '133' 'S, longitude 35o 14' 102 '' W and average altitude of 180 m, in soil characterized as Yellow Argissolo. The experimental design was randomized in blocks, with four replications. For the application of the Bayesian methodology, the Box and Cox transformation was used in the data normalization, afterwards the Gaussian likelihood function is obtained and a prior noninformative or priori distribution of Jeffreys is used for composition of the posterior distribution in which the parameters to obtain the percentages of the relative accumulation of NPK by aerial part of the sugarcane varieties studied were estimated, in which there is a higher index of relative accumulation of NPK in the second phase of crop development, both in the early maturation as well as late ripening maturation.