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Small area estimation for spatial correlation in watershed erosion assessment

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Abstract

This article describes the combination of small area estimator and a simultaneously autoregressive (SAR) model applied to the erosion data collected at the Rathbun Lake Watershed in Iowa (USA). The proposed methodology considers and EBLUP estimator with spatially correlated random area effects taking into account the information provided by neighboring areas. The article discusses the gain obtained from modeling the spatial correlation among small area random effects useful in representing the unexplained variation of the small area target quantities. Moreover the estimator of mean squared error of the proposed estimator is presented.

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Authors and Affiliations

  1. Department of Statistics “G. Parenti,”, University of Florence, Viale Morgagni 59, 50134, Florence, Italy

    Alessandra Petrucci (Associate Professor)

  2. Department of Statistics and Mathematics Applied to Economics, University of Pisa, Via Ridolfi 10, 50126, Pisa, Italy

    Nicola Salvati (Doctor in Applied Statistics)

Authors
  1. Alessandra Petrucci
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  2. Nicola Salvati
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Correspondence to Alessandra Petrucci.

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Petrucci, A., Salvati, N. Small area estimation for spatial correlation in watershed erosion assessment. JABES 11, 169 (2006). https://doi.org/10.1198/108571106X110531

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  • DOI: https://doi.org/10.1198/108571106X110531

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