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加纳阿科松博大坝水位的极值分析。

An extreme value analysis of water levels at the Akosombo dam, Ghana.

作者信息

Nadarajah Saralees, Kwofie Charles

机构信息

Department of Mathematics, University of Manchester, Manchester M13 9PL, UK.

Department of Mathematics and Statistics, University of Energy and Natural Resources, Ghana.

出版信息

Heliyon. 2024 Jul 8;10(14):e34076. doi: 10.1016/j.heliyon.2024.e34076. eCollection 2024 Jul 30.

Abstract

The Akosombo Dam is the largest dam in Ghana and is linked to the world's largest man-made lake by surface area. The top of flood control pool of the dam has been breached a number of times, so it is of interest to know the corresponding probability. The paper fits the generalized extreme value distribution to the extreme water levels - with all three of its parameters (including the shape parameter) accounting for various linear trends, seasonality and cyclic trends with respect to time, . The fitted model contains in total 50 parameters. It provided an adequate fit, as evaluated by probability plots, quantile plots, and the Kolmogorov-Smirnov test. It is used to provide return level estimates as well as probabilities of the top of flood control pool of the dam being breached.

摘要

阿科松博大坝是加纳最大的水坝,按表面积计算,它与世界上最大的人工湖相连。该大坝防洪库容顶部多次被突破,因此了解相应的概率很有意义。本文将广义极值分布拟合到极端水位——其所有三个参数(包括形状参数)都考虑了相对于时间的各种线性趋势、季节性和周期性趋势。拟合模型总共包含50个参数。通过概率图、分位数图和柯尔莫哥洛夫-斯米尔诺夫检验评估,该模型拟合效果良好。它用于提供重现期估计以及大坝防洪库容顶部被突破的概率。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b2f8/11301174/be6b179be335/gr001.jpg

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