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Estimation of Nash's IUH parameters using stochastic search algorithms

✍ Scribed by S. Mohan; D. P. Vijayalakshmi


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
517 KB
Volume
22
Category
Article
ISSN
0885-6087

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✦ Synopsis


Abstract

In rainfall–runoff studies, it is often necessary to change the duration of a given unit hydrograph. Nash's Instantaneous Unit Hydrograph (IUH) is an ideal method that eliminates the hydrograph duration. This paper presents the results of the application of search algorithms, namely a genetic algorithm and hill climbing, to develop the IUH that minimizes the error between the observed and generated hydrographs. Also the performance of these methods has been compared with that of the classical method used for estimation of IUH, namely the method of moments. The genetic algorithm is a popular search procedure for function optimization that applies the mechanics of natural genetics and natural selection to explore a given search space. Hill climbing is an optimization technique that belongs to the family of local search and algorithms can be used to solve problems that have many solutions, with some solutions better than others. The results obtained from both the genetic algorithm and hill climbing algorithm for estimation of Nash's IUH parameters were compared with the results obtained by the method of moments for storms from two river basins that are located in different climatic regions. It was found that both the genetic algorithm and hill climbing provided improved and consistent results. Copyright Β© 2008 John Wiley & Sons, Ltd.


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## Abstract Under the assumption that hydrograph generation was affected by __n__ linear reservoirs with the same value of storage coefficient __k__, Nash proposed the formulation of the Instantaneous Unit Hydrograph (IUH), which has been widely used in rainfall–runoff simulation and flood forecast