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Hysteresis in Hydrology and Hydrological Modeling: Memory, Path-Dependency, or Missing Physics?
Journal of Hydrology ( IF 5.9 ) Pub Date : 2018-11-01 , DOI: 10.1016/j.jhydrol.2018.06.037
S. Gharari , S. Razavi

Abstract Hysteresis is a widely reported phenomenon in natural and engineered systems across different temporal and spatial scales. Its definition is non-unique and rather context-dependent, while systems with hysteretic behavior, including hydrological systems, are commonly referred to as path-dependent systems or systems with memory. Despite widespread existence of hysteretic processes, the current generation of hydrologic models do not directly account for hysteresis. In this paper, we review the fundamentals, theories, and general properties of hysteresis in the broad scientific literature and then focus on its representations in hydrological sciences. Through illustrative examples, we show how an incomplete understanding or representation of the underlying processes in a system can lead to considering the system as being path-dependent. We argue that, in most cases, hysteresis is a manifestation of our dimensionality-reducing approach to process understanding and representation. We further explain that modelling hysteresis in an ideal world requires a full-dimensional process representation, based on a perfect understanding of the processes, their heterogeneity, and their spatio-temporal scale dependency. We discuss, however, that the missing dimensions/physics in a hydrologic model may be compensated to some extent by enabling the model with formal hysteretic components. Moreover, we show that the conventional model structure and parameterization may be designed in a way to partially reproduce a desired hysteretic behavior.

中文翻译:

水文和水文建模中的滞后:记忆、路径依赖还是缺少物理?

摘要 迟滞是自然和工程系统中广泛报道的不同时间和空间尺度的现象。它的定义是非唯一的,而是依赖于上下文的,而具有滞后行为的系统,包括水文系统,通常被称为依赖于路径的系统或具有记忆的系统。尽管滞后过程广泛存在,但当前一代的水文模型并没有直接解释滞后。在本文中,我们回顾了广泛科学文献中滞后现象的基本原理、理论和一般特性,然后重点关注它在水文科学中的表现。通过说明性示例,我们展示了对系统中底层过程的不完整理解或表示如何导致将系统视为路径依赖的。我们认为,在大多数情况下,滞后是我们对过程理解和表示的降维方法的一种表现。我们进一步解释了在理想世界中建模滞后需要基于对过程、它们的异质性和它们的时空尺度依赖性的完美理解的全维过程表示。然而,我们讨论了水文模型中缺失的维度/物理可以通过启用具有正式滞后分量的模型在一定程度上得到补偿。此外,我们展示了传统模型结构和参数化的设计方式可以部分再现所需的滞后行为。我们进一步解释了在理想世界中建模滞后需要基于对过程、它们的异质性和它们的时空尺度依赖性的完美理解的全维过程表示。然而,我们讨论了水文模型中缺失的维度/物理可以通过启用具有正式滞后分量的模型在一定程度上得到补偿。此外,我们展示了传统模型结构和参数化的设计方式可以部分再现所需的滞后行为。我们进一步解释了在理想世界中建模滞后需要基于对过程、它们的异质性和它们的时空尺度依赖性的完美理解的全维过程表示。然而,我们讨论了水文模型中缺失的维度/物理可以通过启用具有正式滞后分量的模型在一定程度上得到补偿。此外,我们展示了传统模型结构和参数化的设计方式可以部分再现所需的滞后行为。水文模型中缺失的维度/物理可以通过启用具有正式滞后分量的模型在一定程度上得到补偿。此外,我们展示了传统模型结构和参数化的设计方式可以部分再现所需的滞后行为。水文模型中缺失的维度/物理可以通过启用具有正式滞后分量的模型在一定程度上得到补偿。此外,我们展示了传统模型结构和参数化的设计方式可以部分再现所需的滞后行为。
更新日期:2018-11-01
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