Spatial autoregressive functional plug-in prediction of ocean surface temperature |
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| Authors: | M D Ruiz-Medina R M Espejo |
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| Institution: | (1) Department of Statistics and Operations Research, Faculty of Sciences, University of Granada, Campus Fuente Nueva s/n, 18071 Granada, Spain |
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| Abstract: | This paper addresses the problem of spatial functional extrapolation in the framework of spatial autoregressive Hilbertian
processes of order one (SARH(1) processes) introduced in Ruiz-Medina (J Muitivar Anal 102:292–305, 2011a). Moment-based estimators of the operators involved in the state equation of these processes are computed by projection into
a suitable orthogonal basis. Specifically, the eigenfunction basis diagonalizing the autocovariance operator is considered.
An estimation algorithm is designed for the implementation of the resulting SARH(1)-plug-in projection extrapolator from temporal
curves irregularly distributed in space. Its performance is illustrated with a real-data example, where the problem of spatial
functional extrapolation of ocean surface temperature profiles is addressed. This problem is crucial in the assessment of
climate change anomalies. The data are collected from the public oceanographic bio-optical database: The World-wide Ocean Optics Database. Cross Validation (C.V.) procedures are applied for the evaluation of the estimation results derived. |
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