<p>The GEOT-IDF Equations is a tool for determining Intensity–Duration–Frequency (IDF) relations and their respective equations. It was specially developed to facilitate the adjustment of different probabilistic models in the frequency analysis of rainfall time series (partial duration and annual maximums series) and the IDF curve model without requiring prior knowledge about the model parameters by the user. The tool integrates the seven most used statistical distributions to estimate maximum 1-day precipitation values for different return periods (Tr) and three methodologies for disaggregating precipitation into sub-daily intervals. The empirical parameters (a, b, c, d, e, and f) of five IDF equations are calibrated using two objective functions (FO1 and FO2). The GEOT-IDF Equations tool is connected to two precipitation database servers (ANA, NOAA&#xa0;and CLIMBra ). It also provides IDF equations from remote-sensing precipitation products. The results show that, compared to previous works, the IDF equations generated by GEOT-IDF Equations presented relative errors of around 10% (more or less) for low Tr (&lt; 25&#xa0;years) and duration—t (&lt; 60&#xa0;min) values, indicating that the tool is reliable in the application of drainage design. This tool is expected to be useful for designers, researchers, and specialists studying intense rainfall.</p>

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GEOT-IDF equations: an R-based tool for intense rainfall studies

  • Fagner França da Costa,
  • Iana Alexandra Alves Rufino,
  • Ricardo de Aragão,
  • Marco Aurélio Holanda de Castro,
  • Rivaildo da Silva Ramos Filho

摘要

The GEOT-IDF Equations is a tool for determining Intensity–Duration–Frequency (IDF) relations and their respective equations. It was specially developed to facilitate the adjustment of different probabilistic models in the frequency analysis of rainfall time series (partial duration and annual maximums series) and the IDF curve model without requiring prior knowledge about the model parameters by the user. The tool integrates the seven most used statistical distributions to estimate maximum 1-day precipitation values for different return periods (Tr) and three methodologies for disaggregating precipitation into sub-daily intervals. The empirical parameters (a, b, c, d, e, and f) of five IDF equations are calibrated using two objective functions (FO1 and FO2). The GEOT-IDF Equations tool is connected to two precipitation database servers (ANA, NOAA and CLIMBra ). It also provides IDF equations from remote-sensing precipitation products. The results show that, compared to previous works, the IDF equations generated by GEOT-IDF Equations presented relative errors of around 10% (more or less) for low Tr (< 25 years) and duration—t (< 60 min) values, indicating that the tool is reliable in the application of drainage design. This tool is expected to be useful for designers, researchers, and specialists studying intense rainfall.