Probability distribution of heavy rainfall and determination of IDF in the city of Caruaru – PE

  • Kevin Matheus Correia Mendes Centro Acadêmico do Agreste. Núcleo de Tecnologia. Universidade Federal de Pernambuco (UFPE), Avenida Marielle Franco, s/n, Km 59, CEP: 55014-900, Caruaru, PE, Brazil.
  • Aline Lima de Oliveira Departamento de Energia Nuclear. Universidade Federal de Pernambuco (UFPE), Avenida Luiz Freire, n° 1000, CEP: 50740-545, Recife, Pernambuco, Brazil.
  • Lucas Ravellys Pyrrho de Alcântara Departamento de Energia Nuclear. Universidade Federal de Pernambuco (UFPE), Avenida Luiz Freire, n° 1000, CEP: 50740-545, Recife, Pernambuco, Brazil.
  • Adriana Thays Araújo Alves Centro de Estudos Superiores de Bacabal. Departamento de Ciências Exatas e Naturais. Universidade Estadual do Maranhão (UEMA), Rua Teixeira de Freitas, n° 2492-2706, CEP: 65700-000, Bacabal, MA, Brazil.
  • Severino Martins dos Santos Neto Departamento de Energia Nuclear. Universidade Federal de Pernambuco (UFPE), Avenida Luiz Freire, n° 1000, CEP: 50740-545, Recife, Pernambuco, Brazil.
  • Artur Paiva Coutinho Centro Acadêmico do Agreste. Núcleo de Tecnologia. Universidade Federal de Pernambuco (UFPE), Avenida Marielle Franco, s/n, Km 59, CEP: 55014-900, Caruaru, PE, Brazil.
  • Suzana Maria Gico Lima Montenegro Centro de Tecnologia e Geociências. Universidade Federal de Pernambuco (UFPE), Avenida da Arquitetura, s/n, CEP: 50740-550, Recife, PE, Brazil.
  • José Moura Soares Centro Acadêmico do Agreste. Núcleo de Tecnologia. Universidade Federal de Pernambuco (UFPE), Avenida Marielle Franco, s/n, Km 59, CEP: 55014-900, Caruaru, PE, Brazil.
  • Antonio Celso Dantas Antonino Departamento de Energia Nuclear. Universidade Federal de Pernambuco (UFPE), Avenida Luiz Freire, n° 1000, CEP: 50740-545, Recife, Pernambuco, Brazil.
DOI: https://doi.org/10.4136/ambi-agua.2555
Keywords: likelihood method, method of moments, statistical hydrology.

Abstract

In the design of hydraulic engineering works, the estimation of project precipitation is fundamental. Rain forecasting depends on several factors, which makes estimating it simpler with stochastic processes. In this sense, the distributions of Gumbel (GUM), Log-Normal two-parameter (LN2P), Generalized Extreme Value (GEV), Fréchet with two and three parameters (FRE2P and FRE3P), Weibull with two and three parameters (W2P and W3P), Gamma (GAM2P), and Pareto with two and three parameters (PAR2P and PAR3P) were evaluated to the annual maximum daily precipitation (AMDP) adjustment in the city of Caruaru (Pernambuco´s Agreste). A series of AMDP was used, based on data obtained from the National Water Agency (Agência Nacional de Águas - ANA). Anderson Darling (AD), Kolmogorov-Smirnov (KS) and Pearson Chi-square (χ2) adherence tests, and the determination coefficient (R²) were used to assess the adherence quality of the distributions. The Likelihood Method presented a better fit quality than the Moment Method. The GEV distribution obtained the best results for the AD test in both methods to estimate the parameters. Among the adherence tests used, the AD test was considered the most restrictive. To verify the quality parameters’ fitness to the IDF relations, the Willmott performance coefficient was used. For all distributions employed in this study, Willmott performance coefficients presented values above 0.99, giving a perfect fit of IDF relations with determination coefficients close to 1.0.


Published
26/01/2021
Issue
Vol. 16 No. 1 (2021)
Section
Papers

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