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Precipitation trends analysis by Mann-Kendall test: a case study of Paraíba, Brazil

Sílvio Fernando Alves Xavier Júnior, Jader da Silva Jale, Tatijana Stošić, Carlos Antônio Costa dos Santos, Vijay P. Singh

2020Revista Brasileira de Meteorologia19 citationsDOIOpen Access PDF

Abstract

Abstract This work aimed to select semivariogram models to estimate trends in monthly precipitation in Paraiba State-Brazil using ordinary kriging. The methodology involves the application of geostatistical interpolation of precipitation records of 51 years from 69 rainfall stations across the state. Analysis of semivariograms showed that specific months had a strong spatial dependence (Index of Spatial Dependence - IDE < 25%). The trends were subjected to the following models: circular, spherical, pentaspherical, exponential, Gaussian, rational quadratic, K-Bessel and tetraspherical. The best fit models were selected by cross-validation and Error Comparison Index (ECI). Each data set (month) had a particular spatial dependence structure, which made it necessary to define specific models of semivariogram in order to enhance the adjustment of the experimental semivariogram. Besides, the monthly trend map was plotted to justify the chosen models.

Topics & Concepts

VariogramKrigingGeostatisticsPrecipitationStatisticsMathematicsSpatial dependenceInterpolation (computer graphics)Spatial variabilityEnvironmental scienceClimatologyGeographyMeteorologyGeologyComputer scienceAnimationComputer graphics (images)Hydrology and Drought AnalysisPrecipitation Measurement and AnalysisSoil Geostatistics and Mapping