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Article overview
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Spatially Varying Anisotropy for Gaussian Random Fields in Three-Dimensional Space | Martin Outzen Berild
; Geir-Arne Fuglstad
; | Date: |
3 Jan 2023 | Abstract: | Isotropic covariance structures can be unreasonable for phenomena in
three-dimensional spaces. We construct a class of non-stationary anisotropic
Gaussian random fields (GRFs) in three dimensions through stochastic partial
differential equations allowing for Gaussian Markov random field
approximations. The class is proven in a simulation study where we explore the
amount of data required to estimate these models. Then, we apply it to an ocean
mass outside Trondheim, Norway, based on simulations from a numerical ocean
model. And our model outperforms a stationary anisotropic GRF on predictions
using in-situ measurements collected with an autonomous underwater vehicle. | Source: | arXiv, 2301.01372 | Services: | Forum | Review | PDF | Favorites |
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