A coupled system based on Differential Evolution for the determination of Rainfall intensity equations

Abstract

Rainfall intensity equations are fundamental in hydrological studies of road design, which require a project rainfall definition to estimate the project flow and the subsequent design of the hydraulic structure. This paper develops an integrated framework for rainfall intensity equations analyses from global optimization via Differential Evolution. The code was specially developed to facilitate the Gumbel model adjustment in the frequency analysis of annual series, as well as the intensity-duration-frequency model fit, without prior knowledge about the parameters of both models. The developed system was evaluated by using Markov chain Monte Carlo simulation, that search efficiently the model parameter space in pursuit of posterior samples and the posterior prediction uncertainty for both models. The results indicate that simulations are shown to be in good agreement with the measured flow and precipitation data. The optimal parameters obtained with the developed framework agreed with the maximum a-posteriori value of the Monte Carlo simulations. The paper illustrates explicitly the benefits of the method using real-world precipitation data collected for a hydrologic study of a highway design.

Estimativa De Vazão Máxima Para Projetos De Barragem Na Bacia Hidrográfica Do Rio Uraim Em Paragominas/Pa

“…A distribuição Generalizada de Valores Extremos (GEV -Generalized Extreme Value) foi utilizada para a estimativa de vazões de projeto, pois tem sido amplamente utilizada para eventos extremos de precipitação e vazão, resultando em bons ajustes (RULFOVÁ et al, 2016;FARANDA et al, 2011;TRAMBLAY et al, 2012;FENDEKOVÁ et al, 2018;KJELDSEN et al, 2018;GOMES & JÚNIOR, 2018;MARTINS et al, 2018;COTTA et al, 2016). A GEV incorpora as três formas assintóticas de valores extremos em uma única expressão, ou seja, pode fornecer os seguintes comportamentos no gráfico da distribuição: forma dupla exponencial, forma exponencial simples e a forma exponencial com limite superior (NAGHETTINI & PINTO, 2007).…”

Five pedotransfer functions for the van Genuchten model through Evolutionary Polynomial Regression.

“…In this paper, we derive EPR using Differential Evolution (DE) (Storn and Price, 1997) for model structure global exploration. The developed DE algorithm, quickly converges to the global optimum, is relatively easy to use and have few control variables (Gomes and Vargas, 2018). Details on the developed DE-XX Congresso Brasileiro de Mecânica dos Solos e Engenharia Geotécnica IX Simpósio Brasileiro de Mecânica das Rochas IX Simpósio Brasileiro de Engenheiros Geotécnicos Jovens VI Conferência Sul Americana de Engenheiros Geotécnicos Jovens 15 a 18 de Setembro de 2020 -Campinas -SP based EPR algorithm are outside the scope of this work and will be discussed in a further publication.…”