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Optimized Fourier Approximation Models for Estimating Monthly Streamflow in the Vanderkloof Dam, South Africa

  • Conference paper
EVOLVE - A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 288))

Abstract

Parametric probability distribution models and nonparametric approximation models were developed for estimating monthly streamflow in the Vanderkloof dam. The probability distribution functions include Normal, Lognormal, PearsonIII, Log-Pearson III, Gumbel and Log-Gumbel probability density functions while the nonparametric approach involves the development of monthly streamflow models using numerical harmonic Fourier series approximation procedure. The parameters of the Fourier series were optimized using differential evolution (DE) algorithm. For a comparison of nonparametric and parametric models, the Mean Relative Deviation (MRD) and Mean Square Relative Deviation (MSRD) statistics were used to measure the goodness-of-fit of the developed models while the Wilcoxon sign rank test was adopted to determine if there is a statistical significant difference in the performance of the models. Results show that the nonparametric Fourier approximation model estimates streamflow into the Vanderkloof reservoir better than the parametric methods. It is concluded that the Fourier series approximation may be adopted as an alternative approach for streamflow frequency analysis.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering and Surveying, Durban University of Technology, Durban, South Africa

    Josiah Adeyemo & Oluwatosin Olofintoye

Authors
  1. Josiah Adeyemo
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  2. Oluwatosin Olofintoye
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Editor information

Editors and Affiliations

  1. Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg, Luxembourg

    Alexandru-Adrian Tantar

  2. Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg, Luxembourg

    Emilia Tantar

  3. School of Engineering, University of California, Merced, California, USA

    Jian-Qiao Sun

  4. College of Mechanical Engineering, Beijing University of Technology, Beijing, China

    Wei Zhang

  5. Department of Mechanics, Tianjin University, Tianjin, China

    Qian Ding

  6. Depto. Computación, CINVESTAV-IPN, Mexico City, Mexico

    Oliver Schütze

  7. Leiden Institute of Advanced Computer Science, Leiden University, Leiden, The Netherlands

    Michael Emmerich

  8. Université de Bordeaux, Bordeaux, France

    Pierrick Legrand

  9. School of Mathematics and Statistics, University of New South Wales, Sydney, New South Wales, Australia

    Pierre Del Moral

  10. Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico

    Carlos A. Coello Coello

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© 2014 Springer International Publishing Switzerland

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Adeyemo, J., Olofintoye, O. (2014). Optimized Fourier Approximation Models for Estimating Monthly Streamflow in the Vanderkloof Dam, South Africa. In: Tantar, AA., et al. EVOLVE - A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V. Advances in Intelligent Systems and Computing, vol 288. Springer, Cham. https://doi.org/10.1007/978-3-319-07494-8_20

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  • DOI: https://doi.org/10.1007/978-3-319-07494-8_20

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07493-1

  • Online ISBN: 978-3-319-07494-8

  • eBook Packages: EngineeringEngineering (R0)

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