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DOI | 10.1002/2017WR020452 |
Calibrating the Spatiotemporal Root Density Distribution for Macroscopic Water Uptake Models Using Tikhonov Regularization | |
Li, N.1; Yue, X. Y.2 | |
2018-03-01 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:3页码:1781-1795 |
文章类型 | Article |
语种 | 英语 |
国家 | Peoples R China |
英文摘要 | Macroscopic root water uptake models proportional to a root density distribution function (RDDF) are most commonly used to model water uptake by plants. As the water uptake is difficult and labor intensive to measure, these models are often calibrated by inverse modeling. Most previous inversion studies assume RDDF to be constant with depth and time or dependent on only depth for simplification. However, under field conditions, this function varies with type of soil and root growth and thus changes with both depth and time. This study proposes an inverse method to calibrate both spatially and temporally varying RDDF in unsaturated water flow modeling. To overcome the difficulty imposed by the ill-posedness, the calibration is formulated as an optimization problem in the framework of the Tikhonov regularization theory, adding additional constraint to the objective function. Then the formulated nonlinear optimization problem is numerically solved with an efficient algorithm on the basis of the finite element method. The advantage of our method is that the inverse problem is translated into a Tikhonov regularization functional minimization problem and then solved based on the variational construction, which circumvents the computational complexity in calculating the sensitivity matrix involved in many derivative-based parameter estimation approaches (e.g., Levenberg-Marquardt optimization). Moreover, the proposed method features optimization of RDDF without any prior form, which is applicable to a more general root water uptake model. Numerical examples are performed to illustrate the applicability and effectiveness of the proposed method. Finally, discussions on the stability and extension of this method are presented. |
英文关键词 | inverse modeling Tikhonov regularization macroscopic root water uptake model root density distribution function (RDDF) Richards equation finite element method |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000430364900021 |
WOS关键词 | SOIL-WATER ; HYDRAULIC CONDUCTIVITY ; GLOBAL OPTIMIZATION ; LENGTH DENSITY ; PLANT-ROOTS ; IRRIGATION ; SIMULATION ; SYSTEM ; GROWTH ; MOVEMENT |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/21332 |
专题 | 资源环境科学 |
作者单位 | 1.China Univ Geosci, Sch Water Resources & Environm, Beijing, Peoples R China; 2.Soochow Univ, Sch Math Sci, Suzhou, Peoples R China |
推荐引用方式 GB/T 7714 | Li, N.,Yue, X. Y.. Calibrating the Spatiotemporal Root Density Distribution for Macroscopic Water Uptake Models Using Tikhonov Regularization[J]. WATER RESOURCES RESEARCH,2018,54(3):1781-1795. |
APA | Li, N.,&Yue, X. Y..(2018).Calibrating the Spatiotemporal Root Density Distribution for Macroscopic Water Uptake Models Using Tikhonov Regularization.WATER RESOURCES RESEARCH,54(3),1781-1795. |
MLA | Li, N.,et al."Calibrating the Spatiotemporal Root Density Distribution for Macroscopic Water Uptake Models Using Tikhonov Regularization".WATER RESOURCES RESEARCH 54.3(2018):1781-1795. |
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