NDLI: Combining point and regular lattice data in geostatistical interpolation

Content Provider	Springer Nature Link
Author	Jódar, Jorge Sapriza, Gonzalo Herrera, Christian Lambán, Luis Javier Medina, Agustín
Copyright Year	2015
Abstract	This work studies how to include both point and areal measurements when estimating gaussian fields by kriging. To achieve this objective, three geostatistical approaches are considered for the areal distributed data: (a) regionalized measurements that are geographically referenced by their centroid as if they were point measurements, (b) regionalized measurements that are explicitly accounted by formally computing all the needed covariances (i.e. area-to-area, area-to-point and point-to-point covariances, respectively) and (c) regionalized measurements that are used as an external drift variable. Results indicate that the measurement error corresponding to the areal data plays a key role to decide when the spatial support of the areal measurements is relevant. For small measurement errors, it is necessary to explicitly consider the spatial support of the areal measurements to avoid large estimation variances. For large measurement errors, the difference between defining areal measurements by using their actual spatial support and defining areal measurements by referencing them by their centroids (i.e. gravity centre) is small. In this situation, it is possible to use the areal measurements as an external drift instead of merging both types of information (i.e. point and areal data) as measurements for kriging. In this case, the cross-validation analysis shows a larger coefficient of determination, similar average kriging variance and smaller mean square error than the obtained in the case of merging point and areal measurements for kriging.
Starting Page	275
Ending Page	296
Page Count	22
File Format	PDF
ISSN	14355930
Journal	Journal of Geographical Systems
Volume Number	17
Issue Number	3
e-ISSN	14355949
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-05-28
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Kriging Variogram Areal data External drift Regional/Spatial Science Geographical Information Systems/Cartography Computer Application in Social and Behavioral Sciences Landscape/Regional and Urban Planning Geography (general) Simulation and Modeling
Content Type	Text
Resource Type	Article
Subject	Earth-Surface Processes Geography, Planning and Development Economics and Econometrics

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