Regression‐based covariance functions for nonstationary spatial modeling

MD Risser, CA Calder - Environmetrics, 2015 - Wiley Online Library
In many environmental applications involving spatially‐referenced data, limitations on the
number and locations of observations motivate the need for practical and efficient models for …

Nonstationary spatial modeling, with emphasis on process convolution and covariate-driven approaches

MD Risser - arXiv preprint arXiv:1610.02447, 2016 - arxiv.org
In many environmental applications involving spatially-referenced data, limitations on the
number and locations of observations motivate the need for practical and efficient models for …

Local likelihood estimation for covariance functions with spatially-varying parameters: the convoSPAT package for R

MD Risser, CA Calder - arXiv preprint arXiv:1507.08613, 2015 - arxiv.org
In spite of the interest in and appeal of convolution-based approaches for nonstationary
spatial modeling, off-the-shelf software for model fitting does not as of yet exist. Convolution …

[HTML][HTML] Nonstationary modeling for multivariate spatial processes

W Kleiber, D Nychka - Journal of Multivariate Analysis, 2012 - Elsevier
We derive a class of matrix valued covariance functions where the direct and cross-
covariance functions are Matérn. The parameters of the Matérn class are allowed to vary …

Estimation and prediction of a class of convolution-based spatial nonstationary models for large spatial data

Z Zhu, Y Wu - Journal of Computational and Graphical Statistics, 2010 - Taylor & Francis
In this article we address two important issues common to the analysis of large spatial
datasets. One is the modeling of nonstationarity, and the other is the computational …

[PDF][PDF] Some topics in convolution-based spatial modeling

CA Calder, N Cressie - Proceedings of the 56th Session of the …, 2007 - jrfaulkner.github.io
Over the last decade, convolution-based models for spatial data have increased in
popularity as a result of their flexibility in modeling spatial dependence and their ability to …

Spatial modelling using a new class of nonstationary covariance functions

CJ Paciorek, MJ Schervish - Environmetrics: The official journal …, 2006 - Wiley Online Library
We introduce a new class of nonstationary covariance functions for spatial modelling.
Nonstationary covariance functions allow the model to adapt to spatial surfaces whose …

Efficient estimation of nonstationary spatial covariance functions with application to high-resolution climate model emulation

Y Li, Y Sun - Statistica Sinica, 2019 - JSTOR
Spatial processes exhibit nonstationarity in many climate and environmental applications.
Convolution-based approaches are often used to construct nonstationary covariance …

Semiparametric estimation and selection for nonstationary spatial covariance functions

YM Chang, NJ Hsu, HC Huang - Journal of Computational and …, 2010 - Taylor & Francis
We propose a method for estimating nonstationary spatial covariance functions by
representing a spatial process as a linear combination of some local basis functions with …

Does non-stationary spatial data always require non-stationary random fields?

GA Fuglstad, D Simpson, F Lindgren, H Rue - Spatial Statistics, 2015 - Elsevier
A stationary spatial model is an idealization and we expect that the true dependence
structures of physical phenomena are spatially varying, but how should we handle this non …