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Using small area models to estimate the total area occupied by olive trees

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Abstract

This article aims to estimate the total area occupied by olive trees in a region called Comarca IV, located in a central region of Navarra, Spain. Traditionally, small area linear mixed models have been used for similar purposes using regular quadrats (also called segments) as sampling units, and assuming that the majority of segments are fully included in the study domain. When this does not happen, the sampling units are of different size, and there exists an extra variability that can be very different within areas. In this case it is advisable to include model weights in the model. In this article, we propose a weighted unit level linear mixed model where both the variance components and the coefficients of the model are estimated using these weights. We also discuss, the model performance and compare it with alternatives.

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Correspondence to A. F. Militino.

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Militino, A.F., Ugarte, M.D., Goicoa, T. et al. Using small area models to estimate the total area occupied by olive trees. JABES 11, 450–461 (2006). https://doi.org/10.1198/108571106X154650

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  • DOI: https://doi.org/10.1198/108571106X154650

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