The Analysis of Structural Identifiability: Theory and Application to Conceptual Rainfall-Runoff Models
The Analysis of Structural Identifiability: Theory and Application to Conceptual Rainfall-Runoff Models
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结构可辨识性分析：降雨径流概念模型的理论与应用
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
V. Gupta
中科院分区：
文献类型：
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作者：
S. Sorooshian;V. Gupta
概念水文模型的识别包括两个阶段：选择合适的模型结构和参数估计。这两个阶段不能被视为截然不同的，重要的是在模型结构选择过程中认真考虑可用参数估计方法的局限性。本文重点讨论评估水文模型的结构是否能够成功识别其参数所需的概念和工具。提出了结构可识别性的定义，该定义纯粹基于模型属性并且独立于输出观测误差的随机性质。该方法用于开发局部结构可识别性的测量方法，这对于参数敏感性分析很有用。引入了一种称为灵敏度比的度量，适用于研究多维参数空间中的参数相互作用。此外，还讨论了使用允许的重新参数化来提高可识别性。本文讨论的概念的实用性通过使用概念降雨径流模型的模拟示例进行了演示。
The identification of a conceptual hydrologic model involves two stages: selection of a suitable model structure and parameter estimation. These two stages cannot be treated as distinct, and it is important that the limitations of available parameter estimation methodologies be given serious consideration during the procedure of model structure selection. This paper focuses on the concepts and tools necessary for the evaluation of whether the structure of a hydrologic model is such that its parameters can be successfully identified. A definition of structural identifiability is advanced that is based purely on model properties and is independent of the stochastic nature of the output observation errors. The approach is used to develop a measure of local structural identifiability which is useful in the analysis of parameter sensitivity. A measure, called the sensitivity ratio, is introduced which is suitable for studying parameter interactions in the multidimensional parameter space. Also, the use of allowable reparameterizations to improve identifiability is discussed. The utility of the concepts discussed in this paper are demonstrated by a simulation example using a conceptual rainfall-runoff model.