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Research Article Open access CC BY 4.0

Comparative Study of Mathematical Model Applications on the Amount of N-P-K Fertilizer Absorbed to Meet the Best Yield Data of Paddy (Rice) Cultivation

Jyotirmayee Dash, Mamata Kuila

International Journal of Plant & Soil Science · pp. 70–77 · Published 27 Mar 2023

10.9734/ijpss/2023/v35i72863

Abstract

Soil-based test studying prevailing to so many crops in Vindhyan alluvial plains from 2001 to 2004 has shown result of production on special rice crop (IR-36) by testing leveraging on soil stoichiometric testing and recommended balanced fertilizers and organic matter amelioration by application for the niche area of impact to targeted yield of paddy crop. The results confirm that soil micro-flora and micro-organisms speed up aeration, drainage, and the best crumby structures, resulting in embryonic fertility and support for crop plants' profuse and vigorous growth through the best soil texture under various agro-climatological divisions in particular. Preliminary and secondary data are calculated after administration of research questionnaire, structure, queue, flow and research objectives, first hand data fulfilment through field tour and experimental block designs under study in paddy-based ecosystem of control and treatment blocks. Nutrients and fertilizers are required for specific accelerated productivity of paddy crop by using control and treatment with specific fertilisers, which is organized in the old mathematical model of [CF (%)] and [CS (%)] gradient.  Data in relation to studies of nutrient percentage recommended model development through incursion into stoichiometric trends, analysis, models, algorithms, principles/procedures and quantisation. Regression formulae support the experimental design blocks. Studies by experimental design of blocks replication and finding of experimentations on different mathematical models led to outcome of best efficient recommended fertilizers dose to enrich/replenish the gap of inadequate fertilizers to the paddy (rice) crop to touch our targeted yield of rice crops. Analytical   trends and comparison experimentation sheet led to the effort for how much quantity fertilizers are actually needed for paddy crop growth by applying mathematical quantization and qualitative. Under experimental controls, originality of this innovative findings, this research supports systems approach for simplicity, spirituality and sustainability. We have used different mathematical models and three methods and comparing it with traditional method to show the better result of yield data of paddy crop.

Nonlinear optimization with no constraints approximate solver Quasi-Newton method Quasi-Newton method; Marquardt’s method multiple regression equations

Cited by 2

Rice production in Ghana: a multi-dimensional sustainable approach

Andrews Danso Ofori, John Kwame Titriku, Xing Xiang · Frontiers in Agronomy · 2025

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