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Analytical study of a stochastic plant growth model: Application to the GreenLab model
Kang, M. Z.1,3; Cournede, P. H.2; de Reffye, P.3,4,5; Auclair, D.6; Hu, B. G.3
Source PublicationMATHEMATICS AND COMPUTERS IN SIMULATION
2008-06-01
Volume78Issue:1Pages:57-75
SubtypeArticle
AbstractA stochastic functional-structural model simulating plant development and growth is presented. The number of organs (internodes, leaves and fruits) produced by the model is not only a key intermediate variable for biomass production computation, but also an indicator of model complexity. To obtain their mean and variance through simulation is time-consuming and the results are approximate. In this paper, based on the idea of substructure decomposition, the theoretical mean and variance of the number of organs in a plant structure from the model are computed recurrently by applying a compound law of generating functions. This analytical method provides fast and precise results, which facilitates model analysis as well as model calibration and validation with real plants. Furthermore, the mean and variance of the biomass production from the stochastic plant model are of special interest linked to the prediction of yield. In this paper, through differential statistics, their approximate results are computed in an analytical way for any plant age. A case study on sample trees from this functional-structural model shows the theoretical moments of the number of organs and the biomass production, as well as the computation efficiency of the analytical method compared to a Monte-Carlo simulation method. The advantages and the drawbacks of this stochastic model for agricultural applications are discussed. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
KeywordGreenlab Analytical Moments Recurrent Computation Bud Probability Stochastic Functional-structural Plant Model
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
WOS KeywordCELLULAR INTERACTIONS ; MATHEMATICAL MODELS ; PATTERN ; SIMULATION ; FILAMENTS ; INPUTS ; TREES ; ANGLE
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000255997600005
Citation statistics
Cited Times:30[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9615
Collection09年以前成果
Affiliation1.Capital Normal Univ, Beijing 100037, Peoples R China
2.Ecole Cent Paris, Lab Appl Math, F-92295 Chatenay Malabry, France
3.Chinese Acad Sci, Inst Automat, LIAMA, Beijing 100080, Peoples R China
4.INRIA, F-78150 Digiplante, Rocquencourt, France
5.AMAP, UMR, CIRAD, F-34000 Montpellier, France
6.AMAP, UMR, INRA, F-34000 Montpellier, France
Recommended Citation
GB/T 7714
Kang, M. Z.,Cournede, P. H.,de Reffye, P.,et al. Analytical study of a stochastic plant growth model: Application to the GreenLab model[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2008,78(1):57-75.
APA Kang, M. Z.,Cournede, P. H.,de Reffye, P.,Auclair, D.,&Hu, B. G..(2008).Analytical study of a stochastic plant growth model: Application to the GreenLab model.MATHEMATICS AND COMPUTERS IN SIMULATION,78(1),57-75.
MLA Kang, M. Z.,et al."Analytical study of a stochastic plant growth model: Application to the GreenLab model".MATHEMATICS AND COMPUTERS IN SIMULATION 78.1(2008):57-75.
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