Analytical study of a stochastic plant growth model: Application to the GreenLab model
文献类型：期刊论文
| 作者 | Kang, M. Z.1,3 ; Cournede, P. H.2; de Reffye, P.3,4,5; Auclair, D.6; Hu, B. G.3
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| 刊名 | MATHEMATICS AND COMPUTERS IN SIMULATION
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| 出版日期 | 2008-06-01 |
| 卷号 | 78期号:1页码:57-75 |
| 关键词 | GreenLab analytical moments recurrent computation bud probability stochastic functional-structural plant model |
| 英文摘要 | 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. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied |
| 研究领域[WOS] | Computer Science ; Mathematics |
| 关键词[WOS] | CELLULAR INTERACTIONS ; MATHEMATICAL MODELS ; PATTERN ; SIMULATION ; FILAMENTS ; INPUTS ; TREES ; ANGLE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000255997600005 |
| 公开日期 | 2015-12-24 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/9615]  |
| 专题 | 自动化研究所_09年以前成果 |
| 作者单位 | 1.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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：自动化研究所
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