geofd: An R Package for Function-Valued Geostatistical Prediction

• RAMÓN GIRALDO ^[1] ; JORGE MATEU ^[2] ; PEDRO DELICADO ^[3]
  1. [1] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
  2. [2] Universitat Jaume I

     Universitat Jaume I

     Castellón, España

     
  3. [3] Universitat Politècnica de Catalunya

     Universitat Politècnica de Catalunya

     Barcelona, España

     

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• Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 35, Nº. 3, 2012, págs. 385-407
• Idioma: inglés
• Títulos paralelos:
  • geofd: un paquete R para predicción geoestadística de datos funcionales
• Enlaces
  • Texto completo
• Resumen
  • español

    Curvas espacialmente correlacionadas están presentes en un amplio rango de disciplinas aplicadas. En este trabajo se describe el paquete R geofd que implementa predicción por kriging ordinario para este tipo de datos. Inicialmente las curvas son suavizadas usando bases de funciones de Fourier o B-splines. Posteriormente la dependencia espacial entre las curvas es estimada por la función traza-variograma. Finalmente los parámetros del predictor kriging ordinario son estimados resolviendo un sistema de ecuaciones basado en la estimación de la función traza-variograma. Se ilustra el paquete analizando datos reales y simulados.

  • English

    Spatially correlated curves are present in a wide range of applied disciplines. In this paper we describe the R package geofd which implements ordinary kriging prediction for this type of data. Initially the curves are pre-processed by fitting a Fourier or B-splines basis functions. After that the spatial dependence among curves is estimated by means of the trace-variogram function. Finally the parameters for performing prediction by ordinary kriging at unsampled locations are by estimated solving a linear system based estimated trace-variogram. We illustrate the software analyzing real and simulated data.

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