Abstract
Four spatial estimation techniques available in commercial computational packages are evaluated and compared, namely: regularized splines interpolation, tension splines interpolation, inverse distance weighted interpolation, and ordinary Kriging estimation, in order to establish the best representation for the shallow stratigraphic configuration in the city of Aguascalientes, in Central Mexico. Data from 478 sample points along with the software ArcGIS (Environmental Systems Research Institute, Inc. (ESRI), ArcGIS, ver. 9.3, Redlands, California 2008) to calculate the spatial estimates. Each technique was evaluated based on the root mean square error, calculated from a validation between the generated estimates and measured data from 64 sample points which were not used in the spatial estimation process. The present study shows that, for the estimation of the hard-soil layer, ordinary Kriging offered the best performance among the evaluated techniques.
Highlights
The city of Aguascalientes, in a state of the same name, in central Mexico, is nestled in a valley alluvial (Aranda-Gómez and Carrillo 1983; Aranda-Gómez and Aranda-Gómez 1985), so subsoil consists of a mixture of coarse and fine soils, the latter being posed a challenge to builders (Arroyo-Contreras et al 2004)
The objective of this study is to evaluate and compare four spatial estimation techniques: the regularized spline interpolation, by splines in tension, by the inverse distance weighted and ordinary Kriging estimation to determine which best suits the surface stratigraphy settings in the city of Aguascalientes
The methodology used to evaluate the accuracy of different estimation techniques and spatial interpolation in order to decide which one provides the most accurate results
Summary
The city of Aguascalientes, in a state of the same name, in central Mexico, is nestled in a valley alluvial (Aranda-Gómez and Carrillo 1983; Aranda-Gómez and Aranda-Gómez 1985), so subsoil consists of a mixture of coarse and fine soils, the latter being posed a challenge to builders (Arroyo-Contreras et al 2004). In the Valley of Aguascalientes the problem is the presence of surface deposits collapsible settlements and causing damage to structures. Geographic information systems are effective tools for geotechnical engineering as all information used has spatial attributes (Player 2006), facilitating the implementation of spatial interpolation techniques and geostatistics for estimating soil properties as the collapsible layer thickness surface. In the scientific literature has tried to resolve this issue, using two basic methods. The first of these studies consists of reconciliation, or to compare the results of the estimation results with different methods of production (Healey 1993; Sides 1992).
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