Nearest neighbor spatial interpolation for mapping continuous populations and finite populations of areas or units is approached from a design-based perspective, that is, populations are fixed, and uncertainty stems from the sampling scheme adopted to select locations. We derive conditions for design-based pointwise and uniform consistency of the nearest neighbor interpolators. We prove that consistency holds under certain schemes that are widely applied in environmental and forest surveys. Furthermore, we propose a pseudopopulation bootstrap estimator of the root mean squared errors of the interpolated values. Finally, a simulation study is performed to assess the theoretical results.

Fattorini, L., Marcheselli, M., Pisani, C., Pratelli, L. (2021). Design-based properties of the nearest neighbor spatial interpolator and its bootstrap mean squared error estimator. BIOMETRICS [10.1111/biom.13505].

Design-based properties of the nearest neighbor spatial interpolator and its bootstrap mean squared error estimator

Fattorini L.;Marcheselli M.;Pisani C.;
2021-01-01

Abstract

Nearest neighbor spatial interpolation for mapping continuous populations and finite populations of areas or units is approached from a design-based perspective, that is, populations are fixed, and uncertainty stems from the sampling scheme adopted to select locations. We derive conditions for design-based pointwise and uniform consistency of the nearest neighbor interpolators. We prove that consistency holds under certain schemes that are widely applied in environmental and forest surveys. Furthermore, we propose a pseudopopulation bootstrap estimator of the root mean squared errors of the interpolated values. Finally, a simulation study is performed to assess the theoretical results.
Fattorini, L., Marcheselli, M., Pisani, C., Pratelli, L. (2021). Design-based properties of the nearest neighbor spatial interpolator and its bootstrap mean squared error estimator. BIOMETRICS [10.1111/biom.13505].
File in questo prodotto:
File Dimensione Formato  
biom.13505.pdf

accesso aperto

Descrizione: article
Tipologia: PDF editoriale
Licenza: Creative commons
Dimensione 299.72 kB
Formato Adobe PDF
299.72 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1155094