Cokriging for spatial functional data

This work proposes to generalize the method of cokriging when data are spatially sampled curves. A spatial functional linear model is constructed including spatial dependencies between curves. Under some regularity conditions of the curves, an ordinary kriging system is established in the infinite dimensional case. From a practical point-of-view, the decomposition of the curves into a functional basis boils down the problem of kriging in infinite dimension to a standard cokriging on basis coefficients. The methodological developments are illustrated with temperature profiles sampled with dives of elephant seals in the Antarctic Ocean. The projection of sampled profiles into a Legendre polynomial basis is performed with a regularization procedure based on spline smoothing which uses the variance of the sampling devices in order to estimate coefficients by quadrature. Keywords : Functional Data Analysis, RKHS, functional linear model, coregionalization, cokriging, Legendre polynomial 1 ...

• Type: Journal
• Year: 2010
• Where: MA
• Authors: David Nerini, Pascal Monestiez, Claude Manté
• Keywords: Communications, Functional Linear Model, Legendre Polynomial, MA 2010, Spatial Functional Linear