Some Parameter Estimation Issues in Functional-Structural Plant Modelling
Cournede, Paul-Henry; Letort, Veronique; Mathieu, Amelie; Kang, Mengzhen; Lemaire, S.; Trevezas, S.; Houllier, F.; de Reffye, Philippe
Source PublicationMathematical Modelling of Natural Phenomena
The development of functional-structural plant models has opened interesting perspectives
for a better understanding of plant growth as well as for potential applications in breeding
or decision aid in farm management. Parameterization of such models is however a difficult issue due to the complexity of the involved biological processes and the interactions between these processes. The estimation of parameters from experimental data by inverse methods is thus a crucial step. This paper presents some results and discussions as first steps towards the construction of a general framework for the parametric estimation of functional-structural plant models. A general family of models of Carbon allocation formalized as dynamic systems serves as the basis for our study. An adaptation of the 2-stage Aitken estimator to this family of model is introduced as well as its numerical implementation, and applied in two different situations: first a morphogenetic model of sugar beet growth with simple plant structure, multi-stage and detailed observations, and second a tree growth model characterized by sparse observations and strong interactions between
functioning and organogenesis. The proposed estimation method appears robust, easy to adapt to a wide variety of models, and generally provides a satisfactory goodness-of-fit. However, it doesnot allow a proper evaluation of estimation uncertainty. Finally some perspectives opened by the theory of hidden models are discussed.
KeywordFunctional-structural Plant Models Carbon Allocation Greenlab Maximum Likelihood Estimator
Document Type期刊论文
AffiliationEcole Centrale Paris
Recommended Citation
GB/T 7714
Cournede, Paul-Henry,Letort, Veronique,Mathieu, Amelie,et al. Some Parameter Estimation Issues in Functional-Structural Plant Modelling[J]. Mathematical Modelling of Natural Phenomena,2011,6(2):133-159.
APA Cournede, Paul-Henry.,Letort, Veronique.,Mathieu, Amelie.,Kang, Mengzhen.,Lemaire, S..,...&de Reffye, Philippe.(2011).Some Parameter Estimation Issues in Functional-Structural Plant Modelling.Mathematical Modelling of Natural Phenomena,6(2),133-159.
MLA Cournede, Paul-Henry,et al."Some Parameter Estimation Issues in Functional-Structural Plant Modelling".Mathematical Modelling of Natural Phenomena 6.2(2011):133-159.
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