2022
DOI: 10.1016/j.fcr.2022.108549
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A hierarchical Bayesian approach to dynamic ordinary differential equations modeling for repeated measures data on wheat growth

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Cited by 8 publications
(8 citation statements)
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“…Of course, when explicit solutions exist to the differential equation system, a statistical approach to our problem could be found in the application of non-linear mixed models ( Pinheiro and Bates, 2000 ). Without such explicit solutions, Bayesian hierarchical approaches may offer the best perspectives ( Poudel et al., 2022 ), which is the route we will explore in a follow-up paper.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Of course, when explicit solutions exist to the differential equation system, a statistical approach to our problem could be found in the application of non-linear mixed models ( Pinheiro and Bates, 2000 ). Without such explicit solutions, Bayesian hierarchical approaches may offer the best perspectives ( Poudel et al., 2022 ), which is the route we will explore in a follow-up paper.…”
Section: Discussionmentioning
confidence: 99%
“…Below we introduce four dynamic models, all containing some essential first principles of crop growth. The models we develop are extensions of general continuous model frameworks presented in the literature suitable for describing the growth of plants in an ecological context ( Paine et al., 2012 ) or the within-season accumulation of crop biomass ( Poudel et al., 2022 ). Though simple and largely phenomenological, the models are dynamic and therefore offer a biological interpretation of the parameters as well as the ability to produce varied output depending on environmental or management inputs.…”
Section: Methodsmentioning
confidence: 99%
“…Many time-series models have been proposed for analyzing crop phenology. Such models include shape-model fitting (Sakamoto et al, 2013;Zhou et al, 2020), random regression with the Legendre polynomial (Campbell et al, 2018;Campbell et al, 2019), segmented linear regression (Toda et al, 2021), and non-linear growth curves (Chang et al, 2017;Grados et al, 2020;Poudel et al, 2022). Anderson et al (2019) applied a three-parameter logistic model (S-shape non-linear curve) to maize CH time-series data measured by UAV over 1 year, applied a linear mixed effects (LME) model to the logistic parameters, decomposed the parameter variance into genetic and environmental effects: they showed that some of the parameters could be used as predictors of grain yield.…”
Section: Convergence and Future Prospectsmentioning
confidence: 99%
“…Many time-series models have been proposed for analyzing crop phenology. Such models include shape-model fitting (Sakamoto et al, 2013;Zhou et al, 2020), random regression with the Legendre polynomial (Campbell et al, 2018;Campbell et al, 2019), segmented linear regression (Toda et al, 2021), and non-linear growth curves (Chang et al, 2017;Grados et al, 2020;Poudel et al, 2022). Anderson et al (2019) applied a three-parameter logistic model (S-shape non-linear curve) to maize CH time-series data measured by UAV over 1 year, applied a linear mixed effects (LME) model to the logistic parameters, decomposed the parameter variance into genetic and environmental effects: they showed that some of the parameters could be used as predictors of grain yield.…”
Section: Introductionmentioning
confidence: 99%
“…Many time-series models have been proposed for analyzing crop phenology. Such models include shape-model fitting ( Sakamoto et al., 2013 ; Zhou et al., 2020 ), random regression with the Legendre polynomial ( Campbell et al., 2018 ; Campbell et al., 2019 ), segmented linear regression ( Toda et al., 2021 ), and non-linear growth curves ( Chang et al., 2017 ; Grados et al., 2020 ; Poudel et al., 2022 ). Anderson et al.…”
Section: Introductionmentioning
confidence: 99%