Application of response surface method (RSM) and central composite design (CCD) for optimization of cassava yield
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Abstract
The decline of agricultural output which has made Nigeria turn from a major agriculture-based exporter to an importing country has prompted us to investigate the effects of Nitrogen, Phosphorus and Potassium (N.P.K) fertilizer on the yield of cassava planted on non-fertile land using the Response Surface Methodology (RSM). A three-factor Central Composite Design (CCD) was applied to determine the effects of the fertilizers on the yield of cassava. The polynomial regression model was developed and validated prior to optimization studies. It was found that the optimum production conditions for the cassava yield were 63.95 kg/ha of nitrogen, 154.35 kg/ha of phosphorus and 45.56 kg/ha of potassium. The 3D response surface plot derived from the Mathematical models was applied to determine the optimal conditions. Under the conditions, the maximum cassava yield was 29.90kg/ha. The Coeffcient of determination (R2) and adjusted R2 values were 0.9240 and 0.8556 respectively. This showed that the experimental values are in good agreement with the predicted values based on the analysis of variance result. This study proved that Response Surface Methodology can be used effectively to optimize the yield of cassava, and the Central Composite Design is effcient, simple, economical and time-saving which can be adopted for optimizing crop yields.
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References
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