干旱区研究

Arid Zone Research >

2014 , Vol. 31 >Issue 4: 672 - 681

DOI: https://doi.org/10.13866/j.azr.2014.04.13

Land and Water Environment

Variation of Extreme Runoff Volume at Debouchure of the Heihe River Based on GPD Model

  • HUO Xue-li ,
  • LIU You-cun ,
  • HAO Yong-hong ,
  • WANG Jie ,
  • HAN Tian-ding ,
  • WANG Jian
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  • 1. Tianjin Key Laboratory of Water Resources and Environment, Tianjin Normal University, Tianjin 300387, China;
    2. College of Urban and Environmental Sciences, Tianjin Normal University, Tianjin 300387, China;
    3. College of Resources and Environmental Engineering, Anhui University, Hefei 230601, Anhui, China;
    4. Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, Gansu, China

Received date: 2013-11-24

  Revised date: 2014-03-25

  Online published: 2014-08-11

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Abstract

In this paper, the Generalized Pareto Distribution (GPD) model was used to predict the extreme values of average monthly runoff volume at debouchure of the Heihe River in different return periods. The return levels of extreme average monthly runoff volume in both flood season and dry season were analyzed based on the average monthly runoff volume data collected at Yingluoxia Hydrological Station from 1944 to 2010. In order to make the use of GPD model to predict the average minimum monthly runoff volume in dry season, the opposite number of the average monthly runoff volume below 20 m3·s-1 was taken to transform the minimum into the maximum. Under both cases, a proper threshold was selected by the mean residual life plot and by observing the change of modified scale parameter and shape parameter against thresholds. The maximum likelihood method was used to estimate the scale parameter and the shape parameter in GPD model. The different return levels of the extreme average monthly runoff volume of the Heihe River were calculated based on the fitted GPD model. The results showed that the average maximum monthly runoff volumes at the 25-year, 50-year, 100-year and 150-year return levels were 219.8 m3·s-1, 235.3 m3·s-1, 249.5 m3·s-1 and 257.4 m3·s-1, and the average minimum monthly runoff volumes at corresponding return levels were 9.0 m3·s-1, 8.8 m3·s-1, 8.6 m3·s-1 and 8.5 m3·s-1, respectively. The results of the average minimum monthly runoff volume in dry season suggested that the cessation probability of the Heihe River was extremely small under current climate change. Moreover, the 95% confidence interval at the 100-year return level of the extreme average maximum monthly runoff volume was [228.3, 303.1] in flood season, and the estimation of the 100-year at return level of the average monthly runoff volume in dry season was very close to the average minimum monthly runoff volume observed by a deviation of 0.08 m3·s-1. The results indicated that the GPD model has a high accuracy in estimating the return levels of extreme values of average monthly runoff volume in the mountain areas of the Heihe River Basin.

Key words： runoff volume at debouchure; Generalized Pareto Distribution (GPD) model; extreme runoff volume; return level; Heihe River

Cite this article

HUO Xue-li , LIU You-cun , HAO Yong-hong , WANG Jie , HAN Tian-ding , WANG Jian . Variation of Extreme Runoff Volume at Debouchure of the Heihe River Based on GPD Model[J]. Arid Zone Research, 2014 , 31(4) : 672 -681 . DOI: 10.13866/j.azr.2014.04.13

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