Logistic rice model for dry matter and nutrient uptake

Abstract

The temporal variation of cumulative dry matter can be represented by a sigmoidal curve and the temporal variation of nutrient uptake follows this characteristic shape. Therefore, modeling the temporal variation of cumulative dry matter allows estimating nutrient uptake along the crop cycle. The objective of this study was to propose a sine model to estimate dry matter and macronutrient uptake, and to estimate the moments of maximum N and K uptake rates for the rice crop. The field experiment was carried out on a wetland area of Piracicaba, SP, Brazil, consisting of an Humic Haplaquept. The chosen rice variety was IAC 103, a middle season cycle and high yield. Observed variables were dry matter of different plant parts (root, leaf and stem, and panicle) and macronutrient contents per unit dry matter. A sine model was proposed for the cumulative variation of these variables, based on biological events that occurred during the crop cycle. The temporal variation of nutrient uptake was estimated and a lower accuracy was observed for K uptake. The maximum absorption rate for N and K was found at 56% of the relative development of the crop, corresponding to 60 days after emergence in this experiment. The proposed model presented a satisfactory behavior to define the order of magnitude of estimated dry matter and macronutrient uptake by the rice crop and maximum N and K uptake rates. Key words: modeling, sine function, macronutrients MODELO LOGÍSTICO PARA FITOMASSA E EXTRAÇÃO DE NUTRIENTES PARA A CULTURA DE ARROZRESUMO: A variação temporal do acúmulo de fitomassa seca pode ser representada por curva de tipo sigmoidal e a variação temporal do acúmulo de nutrientes acompanha essa forma característica. Conseqüentemente, a modelagem da variação temporal do acúmulo de fitomassa seca permite estimar a extração de nutrientes ao longo do ciclo da cultura. O objetivo do trabalho foi propor um modelo senoidal para estimar a fitomassa seca e extração de macronutrientes pela cultura de arroz, bem como determinar a época de máxima taxa de extração de N e K. O experimento foi conduzido em Piracicaba, SP num Gleissolo Eutrófico, horizonte A chernozênico, textura média a argilosa. Foi utilizada a variedade IAC 103, caracterizada por ser de ciclo médio e de alto rendimento. As variáveis observadas foram a fitomassa seca em diferentes compartimentos da planta (raiz, folha e colmo e panícula) e os teores de macronutrientes por unidade de fitomassa seca. Propõe-se um modelo senoidal, cuja base matemática é fundamentada em eventos biológicos que acontecem ao longo do ciclo da cultura. Estimou-se a variação temporal da extração de nutrientes pela cultura, observando-se menor aderência na estimativa da extração de K. A máxima taxa de absorção de N e K foi observada a 56% do desenvolvimento relativo, equivalente a 60 DAE no estudo. O modelo proposto apresentou adequado desempenho para definir ordem de grandeza dos valores de fitomassa seca e extração de macronutrientes pela cultura de arroz, bem como para estimar a máxima taxa de ab...

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