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Spatial Interpolation of Annual Rainfall in the State Mato Grosso Do Sul (Brazil) Using Different Transitive Theoretical Mathematical Models

Abstract

Based on the interpolation method ordinary kriging, it was compared the spherical, exponential, Gaussian and circular models that best fits in the spatial distribution of mean annual precipitation for the state of Mato Grosso do Sul (MS). The rainfall data from 32 sites were obtained from the database of the National Water Agency - ANA, in the period 1954-2013. The variographic parameters evaluated were nugget effect, level and reach. From these, were calculated the Index of Spatial Dependence. The criteria used to choose the best transitive theoretical mathematical model were the root of the root mean square error (RMSE), Pearson‟s correlation coefficient (d), mean absolute error (EMA) and mean error percentage (EMP), index of agreement (d) and coefficient of determination (R²). The transitive theoretical mathematical models circular, spherical and Gaussian and can be used with satisfactory performance for data interpolation of annual rainfall in State of Mato Grosso do Sul.

Caio Cezar Guedes Correa, Paulo Eduardo Teodoro, Elias Rodrigues da Cunha, José Francisco de Oliveira-Júnior, Givanildo Gois, Larissa Pereira Ribeiro1, Vitor Matheus Bacani, Francisco Eduardo Torres

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