Comparison of three statistical models describing potato yield response to nitrogen fertilizer.

By G. Bélanger, J. Walsh, J. E. Richards, P. Milburn, N. Ziadi. 2000

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Lettuce Response to Phosphorus Fertilization with Struvite Recovered from Municipal Wastewater (2009, result): “…ð1Þ Y i ¼ ai ð1 e bðxþ cÞÞ ð2Þ Y i ¼ ai þ biX þ ciX 1=2 ð3Þ where Yi is head fresh weight in grams or P uptake in mg/head obtained with source i; X is the rate of P applied in mg kg–1; and ai, bi, and ci are constants obtained by fitting the models to the data for source i (Bélanger et al., 2000).”
Legumes can reduce economic optimum nitrogen rates and increase yields in a wheat–canola cropping sequence in western Canada (2015, methodology): “The choice of the best model was based on the coefficients of determination (R2), root mean square error (RMSE) and graphical observation of the response curves (Bélanger et al., 2000).”
Determining Optimal Levels of Nitrogen Fertilizer Using Random Parameter Models (2011, background): “Other studies do find a quadratic functional form providing a better statistical fit (Belanger et al., 2000), which means that crop yield functions with plateau may not dominate in every situation.”
Impact of uncertainty on the optimum nitrogen fertilization rate and agronomic, ecological and economic factors in an oilseed rape based crop rotation (2007, background): “Bullock (1994) and Bélanger et al. (2000).”