Biometrics. 2021 Jun 14. doi: 10.1111/biom.13505. Online ahead of print.
ABSTRACT
Nearest neighbour spatial interpolation for mapping continuous populations and finite populations of areas or units is approached from a design-based perspective, ie, 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 neighbour interpolators. We prove that consistency holds under certain schemes that are widely applied in environmental and forest surveys. Furthermore, we propose a pseudo-population bootstrap estimator of the root mean squared errors of the interpolated values. Finally, a simulation study is performed to assess the theoretical results. This article is protected by copyright. All rights reserved.
PMID:34125432 | DOI:10.1111/biom.13505
