The Use of EPI-Splines to Model Empirical Semivariograms for Optimal Spatial Estimation
Abstract
This research investigates the ability of epi-splines to improve upon current methods of creatingempirical semivariograms for use in optimal spatial estimation (OSE). Models utilizing traditionalmethods of curve fitting for semivariograms (spherical, exponential, and Matrn) used in the spatialestimation process are compared to a proposed model that employs an epi-spline for curve fitting. Theresulting semivariograms are then used for kriging to produce spatial estimation using a sparse number ofmeasurements. The epi-spline model improves upon the mean absolute error, mean standard error, andrange of errors when compared to traditional methods. However, the comparisons indicate that goodnessof fit does not drastically improve the resultant spatial estimation. The benefit of epi-splines, in addition totheir ability to more accurately depict the relationship between data points, is their ability to incorporatesoft information in the form of constraints and the tighter variance of estimates resulting from their use.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 2016
- Accession Number
- AD1030104
Entities
People
- Peter Ii M. Tydingco
Organizations
- Naval Postgraduate School