Stochastic Corn Yield Response Functions to Nitrogen for Corn after Corn, Corn after Cotton, and Corn after Soybeans

Abstract

Deterministic and stochastic yield response plateau functions were estimated to determine the expected profit-maximizing nitrogen rates, yields, and net returns for corn grown after corn, cotton, and soybeans. The stochastic response functions were more appropriate than their deterministic counterparts, and the linear response stochastic plateau described the data the best. The profit-maximizing nitrogen rates were similar for corn after corn, cotton, and soybeans, but relative to corn after corn, the expected corn yield plateaus increased by 12% and 16% after cotton and soybeans, respectively. Expected net returns increased for corn after cotton and soybeans relative to corn after corn.

Improved Yield and Nitrogen Use Efficiency of Corn following Soybean in Irrigated Sandy Loams

“…Research conducted to identify the reasons for the CC yield penalty compared with CS found that corn residue accumulation in CC decreased soil N mineralization (Trinsoutrot et al, 2000), negatively affected soil temperature (Wilhelm and Wortmann, 2004), and contributed to the CC yield penalty (Gentry et al, 2013). Greater corn grain yield in CS than CC in this study is consistent with previous research (Varvel, 1994;West et al, 1996;Wilhelm and Wortmann, 2004;Wortmann et al, 2011;Boyer et al, 2013).…”

Phosphorus and Nitrogen Yield Response Models for Dynamic Bio-Economic Optimization: An Empirical Approach

“…Moreover, the economic model could be expanded by introducing stochastic weather-related variables. Agriculture is strongly influenced by seasonal, weather-related, and climate-related uncertainty [87][88][89]. Annual variation in crop yields is often explained better with annual weather-related variation in production conditions than with variation in fertilizer application rates [12,30,90].…”

Hierarchical Bayesian Estimation of a Stochastic Plateau Response Function: Determining Optimal Levels of Nitrogen Fertilization

“…The Tembo et al () random plateau model allows year‐to‐year variation of the yield responsiveness to nitrogen fertilizer. This model has been extensively used in the literature and some examples are Biermacher et al (), Taylor et al (), Brorsen and Richter (), Boyer et al (), Falconer et al (), and Harmon et al (). The plateau random effect allows an upward or downward shift of the average yield potential depending on the environmental condition.…”