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Dam Health Diagnosis Model Based on Cumulative Distribution Function

Author

Listed:
  • Zhenxiang Jiang

    (Nanchang Institute of Technology)

  • Bo Wu

    (Nanchang Institute of Technology)

  • Hui Chen

    (Nanchang Institute of Technology)

Abstract

Traditional methods for diagnosing dam health often rely on single point measurements, which require assumptions about the distributions of these measurements. These approaches fail to integrate multiple measured values for joint diagnosis and overlook the true distribution of the measured values, leading to potential misdiagnosis. This paper proposes a dam health diagnosis method based on kernel density estimation (KDE) and copula functions to address these limitations. The method incorporates a measurement analysis flow that extends from a single point to multiple points and establishes criteria for dam health diagnosis. In addition, this paper proposes to select the optimal copula function based on the Akaike information criterion (AIC). An engineering example is presented to demonstrate the proposed method's effectiveness in diagnosing a dam's health without assuming a specific measurement distribution function. This research contributes to the field of engineering safety management by enabling comprehensive dam health diagnosis from local dam states to the entire dam structure.

Suggested Citation

  • Zhenxiang Jiang & Bo Wu & Hui Chen, 2023. "Dam Health Diagnosis Model Based on Cumulative Distribution Function," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(11), pages 4293-4308, September.
  • Handle: RePEc:spr:waterr:v:37:y:2023:i:11:d:10.1007_s11269-023-03553-6
    DOI: 10.1007/s11269-023-03553-6
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    References listed on IDEAS

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    1. Kobra Rahmati & Parisa-Sadat Ashofteh & Hugo A. Loáiciga, 2021. "Application of the Grasshopper Optimization Algorithm (GOA) to the Optimal Operation of Hydropower Reservoir Systems Under Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(13), pages 4325-4348, October.
    2. Yoshihide Kakizawa, 2021. "Recursive asymmetric kernel density estimation for nonnegative data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 33(2), pages 197-224, April.
    3. Fábio Bayer & Francisco Cribari-Neto, 2015. "Bootstrap-based model selection criteria for beta regressions," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(4), pages 776-795, December.
    4. Sarmad Dashti Latif & Ali Najah Ahmed, 2023. "Streamflow Prediction Utilizing Deep Learning and Machine Learning Algorithms for Sustainable Water Supply Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(8), pages 3227-3241, June.
    5. M. A. Boateng & A. Y. Omari-Sasu & R. K. Avuglah & N. K. Frempong & Alessandro Barbiero, 2022. "A Mixture of Clayton, Gumbel, and Frank Copulas: A Complete Dependence Model," Journal of Probability and Statistics, Hindawi, vol. 2022, pages 1-7, April.
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