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Multivariate geostatistical application for climate characterization of Minas Gerais State, Brazil

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Abstract

The objective of the present study was to assess for Minas Gerais the cokriging methodology, in order to characterize the spatial variability of Thornthwaite annual moisture index, annual rainfall, and average annual air temperature, based on geographical coordinates, altitude, latitude, and longitude. The climatic element data referred to 39 INMET climatic stations located in the state of Minas Gerais and in nearby areas and the covariables altitude, latitude, and longitude to the SRTM digital elevation model. Spatial dependence of data was observed through spherical cross semivariograms and cross covariance models. Box–Cox and log transformation were applied to the positive variables. In these situations, kriged predictions were back-transformed and returned to the same scale as the original data. Trend was removed using global polynomial interpolation. Universal simple cokriging best characterized the climate variables without tendentiousness and with high accuracy and precision when compared to simple cokriging. Considering the satisfactory implementation of universal simple cokriging for the monitoring of climatic elements, this methodology presents enormous potential for the characterization of climate change impact in Minas Gerais state.

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Authors and Affiliations

  1. Engineering Department (DEG), Federal University of Lavras (UFLA), Cx. 3037, CEP 37200-000, Lavras, Minas Gerais, Brazil

    Luiz G. de Carvalho

  2. UFMT/DSER, Federal University of Mato Grosso, Fernando Correa da Costa Avenue, 2367, Bairro Boa Esperança, Cuiabá, Brazil

    Marcelo de Carvalho Alves

  3. Department of Exact Sciences, UFLA/DEX, Lavras, Brazil

    Marcelo S. de Oliveira

  4. National Institute of Meteorology—5th DISME, Contorno Avenue, n.8159, Santo Agostinho, Belo Horizonte, CEP 30110-051-MG, Brazil

    Rubens L. Vianello

  5. Engineering Department, Federal University of Viçosa, P. H. Holfs Avenue, CEP 36571000, Viçosa, Minas Gerais, Brazil

    Gilberto C. Sediyama

  6. Forest Science Department, UFLA/DCF, Lavras, Brazil

    Luis M. T. de Carvalho

Authors
  1. Luiz G. de Carvalho
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  2. Marcelo de Carvalho Alves
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  3. Marcelo S. de Oliveira
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  4. Rubens L. Vianello
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  5. Gilberto C. Sediyama
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  6. Luis M. T. de Carvalho
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Correspondence to Marcelo de Carvalho Alves.

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de Carvalho, L.G., de Carvalho Alves, M., de Oliveira, M.S. et al. Multivariate geostatistical application for climate characterization of Minas Gerais State, Brazil. Theor Appl Climatol 102, 417–428 (2010). https://doi.org/10.1007/s00704-010-0273-z

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  • DOI: https://doi.org/10.1007/s00704-010-0273-z

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