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A Spatial Conditioned Latin Hypercube Sampling Method for Mapping Using Ancillary Data
Author(s) -
Gao Bingbo,
Pan Yuchun,
Chen Ziyue,
Wu Fang,
Ren Xuhong,
Hu Maogui
Publication year - 2016
Publication title -
transactions in gis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.721
H-Index - 63
eISSN - 1467-9671
pISSN - 1361-1682
DOI - 10.1111/tgis.12176
Subject(s) - sampling (signal processing) , interpolation (computer graphics) , variogram , multivariate interpolation , latin hypercube sampling , sample (material) , spatial analysis , computer science , inference , feature (linguistics) , statistics , mathematics , kriging , artificial intelligence , monte carlo method , computer vision , motion (physics) , chemistry , filter (signal processing) , chromatography , bilinear interpolation , linguistics , philosophy
Abstract For obtaining maps of good precision by the spatial inference method, the distribution of sampling sites in geographical and feature space is very important. For a regional variable with trends, the predicting error comes from trend estimation, variogram estimation and spatial interpolation. Based on the cLHS (conditioned Latin hypercube Sampling) method, a sampling method called scLHS (spatial cLHS) considering all these three aspects with the help of ancillary data is proposed in this article. Its advantage lies in simultaneously improving trend estimation, variogram estimation and spatial interpolation. MODIS data and simulated data were used as sampling fields to draw sample sets using scLHS, cLHS, cLHS with x and y coordinates as covariates, simple random and spatial even sampling methods, and the distribution and prediction errors of sample sets from different methods were evaluated. The results showed that scLHS performed well in balancing spreading in geographic and feature space, and can generate points pairs with small distances, and the sample sets drawn by scLHS produced smaller mapping error, especially when there were trends in the target variable.