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Title: Area-to-point prediction under boundary conditions
Authors: Yoo, Eun-Hye 
Kyriakidis, Phaedon 
Keywords: Geostatistical solution
Boundary effects
Dirichlet-type condition
Neumann-type condition
Issue Date: Oct-2008
Publisher: John Wiley & Sons
Source: Geographical Analysis, 2008, Volume 40, Issue 4, pages 355–379
Abstract: This article proposes a geostatistical solution for area-to-point spatial prediction(downscaling) taking into account boundary effects. Such effects are often poorly con-sidered in downscaling, even though they often have significant impact on the results.The geostatistical approach proposed in this article considers two types of boundaryconditions (BC), that is, a Dirichlet-type condition and a Neumann-type condition,while satisfying several critical issues in downscaling: the coherence of predictions,the explicit consideration of support differences, and the assessment of uncertaintyregarding the point predictions. An updating algorithm is used to reduce the compu-tational cost of area-to-point prediction under a given BC. In a case study, area-to-point prediction under a Dirichlet-type BC and a Neumann-type BC is illustratedusing simulated data, and the resulting predictions and error variances are comparedwith those obtained without considering such conditions.
ISSN: 0016-7363
1538-4632 (Online)
DOI: 10.1111/j.0016-7363.2008.00734.x
Rights: © The Ohio State University
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