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首页> 外文期刊>Hydrology and Earth System Sciences >Age-ranked hydrological budgets and a travel time description of catchment hydrology
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Age-ranked hydrological budgets and a travel time description of catchment hydrology

机译:按年龄排列的水文预算和流域水文学的旅行时间描述

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摘要

The theory of travel time and residence time distributions is reworked from the point of view of the hydrological storages and fluxes involved. The forward and backward travel time distribution functions are defined in terms of conditional probabilities. Previous approaches that used fixed travel time distributions are not consistent with our new derivation. We explain Niemi's formula and show how it can be interpreted as an expression of the Bayes theorem. Some connections between this theory and population theory are identified by introducing an expression which connects life expectancy with travel times. The theory can be applied to conservative solutes, including a method of estimating the storage selection functions. An example, based on the Nash hydrograph, illustrates some key aspects of the theory. Generalization to an arbitrary number of reservoirs is presented.
机译:从所涉及的水文储量和流量的角度出发,对旅行时间和停留时间分布的理论进行了重新设计。向前和向后行驶时间分配函数是根据条件概率定义的。以前使用固定行进时间分布的方法与我们的新推导方法不一致。我们将解释Niemi的公式,并说明如何将其解释为贝叶斯定理的一种表达。通过引入将预期寿命与旅行时间联系起来的表达式,可以确定该理论与人口理论之间的某些联系。该理论可以应用于保守的溶质,包括一种估计存储选择函数的方法。一个基于纳什水位图的示例说明了该理论的一些关键方面。提出了对任意数量的储层的推广。

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