Flood frequency analysis using Mathematica

被引：12

作者：

Ghorbani M.A. ^{[1
]}

Ruskeepää H. ^{[2
]}

Singh V.P. ^{[3
]}

Sivakumar B. ^{[4
,5
]}

机构：

[1] Department of Water Engineering, Tabriz University, Tabriz

[2] Department of Mathematics, University of Turku, Turku

[3] Department of Biological and Agricultural Engineering, Texas A and M University, College Station

[4] School of Civil and Environmental Engineering, The University of New South Wales, Sydney

[5] Department of Land, Air and Water Resources, University of California, Davis

来源：

Turkish Journal of Engineering and Environmental Sciences | 2010年 / 34卷 / 03期

关键词：

Aji river basin; Annual discharge; Flood frequency analysis; Mathematica; Probability distribution;

D O I：

10.3906/muh-1002-2

中图分类号：

学科分类号：

摘要：

This study analyzes flood frequencies using discharge data from 6 gaging stations in the Aji River basin in Iran. Eighteen different distributions are fitted to the maximum annual discharges from each of these stations, and parameters of these distributions are estimated using the method of maximum likelihood and the method of moments. Calculations are performed with Mathematica, a computer algebra system developed by Wolfram Research. The advantage of using this software is that the symbolic, numerical, and graphical computations can be combined and all quantities can be accurately calculated; in particular, there is no need to resort to any approximate methods for the calculation of quantiles. There is a readyto- use command for calculating quantiles from distributions that are built in Mathematica, while for other distributions they can be easily and accurately calculated by inverting the cumulative distribution functions or by solving nonlinear equations where the inversion is not possible. The best distribution is selected based on the root mean square error (RMSE), the coefficient of determination (R2), and the probability plot correlation coefficient (PPCC). Relations between the distributions' parameters and the area, average discharge, and time of concentration are explored. The complete Mathematica code and sample data files are included in http://users.utu.fi/ruskeepa/. © TÜBİTAK.

引用

页码：171 / 188

页数：17

共 26 条

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