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Analytic Study of a Stochastic Plant Architectural Model: Application to the GreenLab Model
Kang, Mengzhen; Cournède, Paul-Henry; de Reffye, Philippe; Hu, Bao-Gang
2008
发表期刊Mathematics and Computers in Simulation.
期号78页码:57-75
摘要
A 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.
关键词Greenlab Analytical Moments Recurrent Computation Bud Probability Stochastic Functional–structural Plant Model
收录类别SCI
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/11088
专题09年以前成果
作者单位中国科学院自动化研究所
推荐引用方式
GB/T 7714
Kang, Mengzhen,Cournède, Paul-Henry,de Reffye, Philippe,et al. Analytic Study of a Stochastic Plant Architectural Model: Application to the GreenLab Model[J]. Mathematics and Computers in Simulation.,2008(78):57-75.
APA Kang, Mengzhen,Cournède, Paul-Henry,de Reffye, Philippe,&Hu, Bao-Gang.(2008).Analytic Study of a Stochastic Plant Architectural Model: Application to the GreenLab Model.Mathematics and Computers in Simulation.(78),57-75.
MLA Kang, Mengzhen,et al."Analytic Study of a Stochastic Plant Architectural Model: Application to the GreenLab Model".Mathematics and Computers in Simulation. .78(2008):57-75.
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