Distribution probability functions for models applied to hydraulic works in urban areas: LOG-GUMBEL vs LOG-PEARSON IIIRaúl
DOI:
https://doi.org/10.20868/ade.2025.5516Keywords:
Modelling, hydrological engineering, precipitation distribution functions, drainage in urban areasAbstract
Hydrometeorological models for hydraulic design rely on probability functions to model extreme rainfall. This study compares Log-Gumbel and Log-Pearson III functions using data from Almodóvar reservoir (Cádiz). Log-Gumbel, a variation of the Gumbel distribution, yields higher, safer estimates for long return periods (T), but is highly sensitive to data changes. Log-Pearson III, widely used and more stable, shows consistent results despite data variability. For designs with limited or variable data—common in hydraulic works—Log-Pearson III is preferred. However, for urban drainage where safety is prioritized over stability, Log-Gumbel offers a conservative alternative for high T values.
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