Modelling and Optimizing Sorghum Yield for Food Security using Central Composite Design through Application of Organic and Inorganic Fertilizers

Patrick M M'mwamba; Elizabeth Njoroge; Daniel Mwangi Muriithi

doi:10.36948/ijfmr.2024.v06i03.20287

Modelling and Optimizing Sorghum Yield for Food Security using Central Composite Design through Application of Organic and Inorganic Fertilizers

Author(s)	Patrick M M'mwamba, Elizabeth Njoroge, Daniel Mwangi Muriithi
Country	Kenya
Abstract	The Response surface methodology has offered great solutions to day-to-day life issues, through its outstanding characteristics in optimization of response variables. The demand for sorghum for industrial use necessitated the study. The objective of this study was to model and optimize sorghum yield by varying the amount of organic and inorganic fertilizers applied on experimental plots measuring 2 metres by 1.25 metres. A 5-level-3-factor Central Composite Design (CCD) a Response Surface Methodology (RSM) was applied with the independent variables being nitrogen fertilizer (X_1) supplied in form of Calcium Ammonium Nitrate (CAN) 26%, goat manure (X_2) and VEGIMAX folia fertilizer (X_3). The p-values for nitrogen fertilizer, goat manure and VEGIMAX folia were less than 0.05, an implication that the effect of the three variables on sorghum yield was significant with the nitrogen fertilizer being highly significant (p-value< 0.0001). The quadratic effects were also significant (p-values < 0.05) but the effect of factor interactions were all insignificant (p-value>0.05). The response surface plots revealed that high sorghum yield was favoured by applying moderately high levels of the three independent variables. The R-squared and Adjusted R-squared for the fitted model were 0.9277 and 0.8627 respectively, indicating that the fitted model was valid and explained 86.3% of the variations in the sorghum yield at a confidence level of 0.95. The optimal settings for the (X_1), (X_2) and (X_3) were 112 Kg / ha, 12 tons / ha and 5.5 ml / 20 litres of water, resulting to an optimal yield of 4.95 tons per hectare.
Keywords	Organic and Inorganic fertilizer, Central Composite Design, Sorghum, Optimization, Response Surface Methodology
Field	Mathematics > Statistics
Published In	Volume 6, Issue 3, May-June 2024
Published On	2024-05-19
Cite This	Modelling and Optimizing Sorghum Yield for Food Security using Central Composite Design through Application of Organic and Inorganic Fertilizers - Patrick M M'mwamba, Elizabeth Njoroge, Daniel Mwangi Muriithi - IJFMR Volume 6, Issue 3, May-June 2024. DOI 10.36948/ijfmr.2024.v06i03.20287
DOI	https://doi.org/10.36948/ijfmr.2024.v06i03.20287
Short DOI	https://doi.org/gtvt2t

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Modelling and Optimizing Sorghum Yield for Food Security using Central Composite Design through Application of Organic and Inorganic Fertilizers

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