# Some Parameter Estimation Issues in Functional-Structural Plant Modelling

P.-H. Cournède; V. Letort; A. Mathieu; M. Z. Kang; S. Lemaire; S. Trevezas; F. Houllier; P. de Reffye

Mathematical Modelling of Natural Phenomena (2011)

- Volume: 6, Issue: 2, page 133-159
- ISSN: 0973-5348

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topCournède, P.-H., et al. "Some Parameter Estimation Issues in Functional-Structural Plant Modelling." Mathematical Modelling of Natural Phenomena 6.2 (2011): 133-159. <http://eudml.org/doc/222339>.

@article{Cournède2011,

abstract = {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 does not allow a proper evaluation of estimation
uncertainty. Finally some perspectives opened by the theory of hidden models are
discussed. },

author = {Cournède, P.-H., Letort, V., Mathieu, A., Kang, M. Z., Lemaire, S., Trevezas, S., Houllier, F., de Reffye, P.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {functional-structural plant models; carbon allocation; GreenLab; maximum likelihood estimator; Aitken Estimator; hidden models; greenlab; Aitken estimator},

language = {eng},

month = {3},

number = {2},

pages = {133-159},

publisher = {EDP Sciences},

title = {Some Parameter Estimation Issues in Functional-Structural Plant Modelling},

url = {http://eudml.org/doc/222339},

volume = {6},

year = {2011},

}

TY - JOUR

AU - Cournède, P.-H.

AU - Letort, V.

AU - Mathieu, A.

AU - Kang, M. Z.

AU - Lemaire, S.

AU - Trevezas, S.

AU - Houllier, F.

AU - de Reffye, P.

TI - Some Parameter Estimation Issues in Functional-Structural Plant Modelling

JO - Mathematical Modelling of Natural Phenomena

DA - 2011/3//

PB - EDP Sciences

VL - 6

IS - 2

SP - 133

EP - 159

AB - 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 does not allow a proper evaluation of estimation
uncertainty. Finally some perspectives opened by the theory of hidden models are
discussed.

LA - eng

KW - functional-structural plant models; carbon allocation; GreenLab; maximum likelihood estimator; Aitken Estimator; hidden models; greenlab; Aitken estimator

UR - http://eudml.org/doc/222339

ER -

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