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Territorial Decision Support System Based on IDF Curves’ Parameters Regionalization

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Abstract

The Frequency – Duration – Intensity (IDF) curves are essential in designing channel and rainwater drainage systems, and their unavailability is a real issue for the designers of such structures. This paper aims to perform a large-scale regionalization analysis of the IDF curves’ parameters on the Moroccan rainfall network. The parameters for this study were derived from rainfall distribution greater than 24 h and analyzed using the ordinary co-kriging interpolator. The outcome provided spatial distribution maps that estimate IDF curves’ parameters for any location within the study area. The latter are obtained using the Montana law equation i (T) = a (T)*t(b(T)), with the variables: the return period T, the rainfall duration t, and the precipitation intensity i. The IDF curves’ parameters analysis revealed that average precipitation parameter estimates “a” range from 260 to 821 mm/h for return periods of 2 to 100 years, while the parameter estimates “b” fall between 0.49 and 0.89. The cross-validation approach was performed to ensure reliability and accuracy. The results showed that R2 values are very close to 1 (0.9925 for a (T = 2yrs), 0.9998 for a (T = 5yrs), 0.9979 for a (T = 10yrs), 0.9958 for a (T = 20yrs), 0.9934 for a (T = 50yrs), 0.9920 for a (T = 100yrs), 0.9934 for b) which confirm the precision of the outputs.

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Acknowledgements

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. General Hydraulic Directorate, Ministry of Equipment and Water, Hassan Ben Chekroun Street, 10090, Agdal-Rabat, Rabat, Morocco

    Moulay Driss Hasnaoui

  2. Mohammadia School of Engineers, Hydraulics System Analysis Laboratory (LASH), Mohammed V University, Ibn Sina Avenue, 10090, Agdal-Rabat, Rabat, Morocco

    Oumaima Rami & Driss Ouazar

  3. Mohammed VI Polytechnic University, Subdiv. 660, Moulay Rachid Street, 43150, Ben Guerir, Morocco

    Oumaima Rami

Authors
  1. Moulay Driss Hasnaoui
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  2. Oumaima Rami
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  3. Driss Ouazar
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Oumaima RAMI, Moulay Driss HASNAOUI, and Driss OUAZAR. The first draft of the manuscript was written by Oumaima RAMI and Moulay Driss HASNAOUI and Driss OUAZAR reviewed and commented on previous versions of the manuscript. All authors read and approved the final manuscript. The revision was done by Oumaima RAMI.

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Correspondence to Oumaima Rami.

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Hasnaoui, M.D., Rami, O. & Ouazar, D. Territorial Decision Support System Based on IDF Curves’ Parameters Regionalization. Water Resour Manage 38, 1181–1204 (2024). https://doi.org/10.1007/s11269-023-03715-6

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