2022
DOI: 10.1002/ael2.20075
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How can we estimate optimum fertilizer rates with accuracy and precision?

Abstract: For decades, agronomists have invested time and resources to identify the optimum nitrogen (N) rates for cereal crops. The most common method for estimating the agronomic optimum N rate (AONR) is to design a field experiment with several N fertilizer rates and fit a regression model to the yield observations. Here, we concentrate on its accuracy and precision given choices of experimental design and statistical analysis. Our first finding is that the choice of functional form has a large agronomic effect on th… Show more

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Cited by 18 publications
(15 citation statements)
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“…In soil test correlation, the relationship between the soil test value and the yield response is in general described by fitting to the data models like linear‐plateau, quadratic‐plateau, exponential, among others. However, the model choice affects the CSTV or the agronomic optimum rates of fertilization (Cerrato & Blackmer, 1990; Cox, 1992; Mallarino & Blackmer, 1992; Miguez & Poffenbarger, 2022). In general, the CSTVs estimated at the join point of the linear‐plateau (LP) model are lower than those estimated at the join point of the quadratic‐plateau (QP) model (Cox, 1992) because the values in the x‐axis change smoothly in the quadratic curve.…”
Section: Resultsmentioning
confidence: 99%
“…In soil test correlation, the relationship between the soil test value and the yield response is in general described by fitting to the data models like linear‐plateau, quadratic‐plateau, exponential, among others. However, the model choice affects the CSTV or the agronomic optimum rates of fertilization (Cerrato & Blackmer, 1990; Cox, 1992; Mallarino & Blackmer, 1992; Miguez & Poffenbarger, 2022). In general, the CSTVs estimated at the join point of the linear‐plateau (LP) model are lower than those estimated at the join point of the quadratic‐plateau (QP) model (Cox, 1992) because the values in the x‐axis change smoothly in the quadratic curve.…”
Section: Resultsmentioning
confidence: 99%
“…In these independent analyses, the statistical power and precision to estimate parameters as well as the error variance was substantially lower than estimates from response surfaces and would be expected to result in much more variable estimates (Figure 2C). With only 10 observations in the individual analyses, there is little statistical power to identify the correct model, so presumably, some of the cases could result in a choice of the wrong model (F. E. Miguez & Poffenbarger, 2022). Fitting an incorrect model is likely to further exacerbate errors in EONR estimates with minimum impact on YEONR estimates (Baum et al., 2023).…”
Section: Discussionmentioning
confidence: 99%
“…Few studies have analyzed a three-way interaction of plant density, N rate, and hybrid on grain yield (K. Mastrodomenico et al, 2018;Rossini et al, 2011). These studies have focused on crop physiology aspects and did not calculate optimum N rate and optimum plant densities as none of them had sufficient treatment levels to reproduce a continuous grain yield response to plant density × N rate (F. E. Miguez & Poffenbarger, 2022). Recently, H. Zhang et al (2022) determined economic optimum N rates and plant densities that maximize profits for summer maize in China using limited treatment levels for one hybrid.…”
Section: Introductionmentioning
confidence: 99%
“…Corn yield response to sidedress N rate was quantified by fitting a three-parameter quadratic-plateau response model (Miguez & Poffenbarger, 2022) for each site using PROC NLMIXED in SAS 9.4 (SAS Institute). The sidedress EONR was calculated for each site by setting the derivative of the quadratic portion of the response curve equal to a fertilizer:crop price ratio of 5.6 kg grain kg −1 N (0.1 bushel grain lb −1 N).…”
Section: Methodsmentioning
confidence: 99%