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Synthetic Hydrograph Estimation for Ungauged Basins: Exploring the Role of Statistical Distributions

Author

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  • Dan Ianculescu

    (Faculty of Hydrotechnics, Technical University of Civil Engineering Bucharest, Lacul Tei, nr. 122-124, 020396 Bucharest, Romania)

  • Cristian Gabriel Anghel

    (ACL Hydro Engineering Solutions SRL, 022846 Bucharest, Romania)

Abstract

The use of probability distribution functions in deriving synthetic hydrographs has become a robust method for modeling the response of watersheds to precipitation events. This approach leverages statistical distributions to capture the temporal structure of runoff processes, providing a flexible framework for estimating peak discharge, time to peak, and hydrograph shape. The present study explores the application of various probability distributions in constructing synthetic hydrographs. The research evaluates parameter estimation techniques, analyzing their influence on hydrograph accuracy. The results highlight the strengths and limitations of each distribution in capturing key hydrological characteristics, offering insights into the suitability of certain probability distribution functions under varying watershed conditions. The study concludes that the approach based on the Cadariu rational function enhances the adaptability and precision of synthetic hydrograph models, thereby supporting flood forecasting and watershed management.

Suggested Citation

  • Dan Ianculescu & Cristian Gabriel Anghel, 2025. "Synthetic Hydrograph Estimation for Ungauged Basins: Exploring the Role of Statistical Distributions," Stats, MDPI, vol. 8(4), pages 1-16, October.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:4:p:100-:d:1773855
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    References listed on IDEAS

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    1. Cristian Gabriel Anghel, 2024. "Revisiting the Use of the Gumbel Distribution: A Comprehensive Statistical Analysis Regarding Modeling Extremes and Rare Events," Mathematics, MDPI, vol. 12(16), pages 1-29, August.
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