Evaluation of Crop Responses to Applied Fertilizer Phosphorus and Derivation of Optimum Recommendations using the Mitscherlich–Bray Equation

Abstract In this article, the responses of three important crops (rice, wheat, and soybeans) to applied phosphorous (P) were examined and economically optimum P fertilizer recommendations using the Mitscherlich–Bray model were derived for the three crops at four locations in India. Crop‐yield responses were related to extractable P concentrations estimated by the Olsen method, employing a modification of Mitscherlich's equation. The parameters were considered reliable enough to use for the estimation of fertilizer recommendations at different fertilizer cost–price ratios (p) and marginal rate of return (R). The b parameter value explains how much soil P can substitute for fertilizer P. Thus, for each incremental unit of extractable P, fertilizer P could be reduced by 2.0, 2.9, 1.5, and 1.5 kg P/ha for rice (Periyar), rice (Bhubaneswar), wheat (Hisar), and soybean (Raipur), respectively. Optimum fertilizer rates for rice, wheat, and soybean were generated for different soil P fertility levels. There is als...