A deficiency of kriging is the implicit assumption of second-order stationarity. We present a generalisation to kriging by spatially evolving the spec-tral density function of a stationary kriging model in the frequency domain. The resulting non-stationary covariance functions are of the same form as the evoloved stationary model, and provide an interpretable view of the local effects underlying the process. The method employs a Bayesian formulation and Markov Chain Monte Carlo(MCMC) sampling. The technique is demonstrated using a 1D Doppler func-tion, and 2D precipitation data from Scotland.
CITATION STYLE
Stephenson, J., Holmes, C., Gallagher, K., & Pintore, A. (2005). A Statistical Technique for Modelling Non-stationary Spatial Processes (pp. 125–134). https://doi.org/10.1007/978-1-4020-3610-1_13
Mendeley helps you to discover research relevant for your work.