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| Universal Kriging (Kriging with a Trend)× | Cokriging× | Hồi quy Trọng số Địa lý (GWR)× | |
|---|---|---|---|
| Lĩnh vực | Phân tích không gian | Phân tích không gian | Phân tích không gian |
| Họ | Regression model | Regression model | Regression model |
| Năm ra đời≠ | 1969 | 1963 | 2002 |
| Người khởi xướng≠ | Georges Matheron | Georges Matheron (geostatistics); multivariate extension | Fotheringham, Brunsdon & Charlton |
| Loại≠ | Geostatistical interpolation with spatial trend | Multivariate geostatistical interpolation | Local spatial regression |
| Công trình gốc≠ | Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246–1266. DOI ↗ | Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246–1266. DOI ↗ | Fotheringham, A. S., Brunsdon, C., & Charlton, M. (2002). Geographically Weighted Regression: The Analysis of Spatially Varying Relationships. Wiley. ISBN: 978-0471496168 |
| Tên gọi khác≠ | kriging with a trend, kriging with drift, trend kriging, evrensel kriging | co-kriging, multivariate kriging, ortak kriging | GWR, local regression, spatially varying coefficient regression, Coğrafi Ağırlıklı Regresyon (GWR) |
| Liên quan≠ | 3 | 3 | 5 |
| Tóm tắt≠ | Universal kriging generalizes ordinary kriging to data whose mean varies systematically across space — a spatial trend or 'drift'. It models the mean as a function of the coordinates (or covariates) and krigs the residuals, so it can interpolate variables that drift in a preferred direction, such as temperature falling with latitude or a pollutant gradient, while still returning prediction variances. | Cokriging extends kriging to use one or more correlated secondary variables to improve prediction of a primary variable. When the variable of interest is sparsely sampled but a related, cheaper-to-measure variable is densely sampled, cokriging borrows strength from the secondary variable through their cross-correlation, yielding more accurate interpolations and prediction variances than kriging the primary variable alone. | Geographically Weighted Regression is a local regression method, introduced by Fotheringham, Brunsdon and Charlton (2002), that allows the regression coefficients to vary across space. Instead of one global equation, it fits a separate set of coefficients at every location, capturing spatial heterogeneity in the relationships. |
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