Cokriging for spatial functional data
This work proposes to generalize the method of kriging 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 dim...
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ftccsdartic:oai:HAL:hal-00743881v1 2023-05-15T13:55:20+02:00 Cokriging for spatial functional data Nerini, David Monestiez, Pascal MANTE, Claude Laboratoire de MicrobiologiE de Géochimie et d'Ecologie Marines (LMGEM) Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2 2010-02 https://hal.archives-ouvertes.fr/hal-00743881 https://doi.org/10.1016/j.jmva.2009.03.005 en eng HAL CCSD Elsevier info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmva.2009.03.005 hal-00743881 https://hal.archives-ouvertes.fr/hal-00743881 doi:10.1016/j.jmva.2009.03.005 PRODINRA: 39536 WOS: 000272526300011 ISSN: 0047-259X EISSN: 1095-7243 Journal of Multivariate Analysis https://hal.archives-ouvertes.fr/hal-00743881 Journal of Multivariate Analysis, Elsevier, 2010, 101 (2), pp.409-418. ⟨10.1016/j.jmva.2009.03.005⟩ Functional data analysis RKHS Functional linear model Coregionalization Cokriging Legendre polynomials [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST] [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH] info:eu-repo/semantics/article Journal articles 2010 ftccsdartic https://doi.org/10.1016/j.jmva.2009.03.005 2020-12-26T04:15:35Z This work proposes to generalize the method of kriging 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. Article in Journal/Newspaper Antarc* Antarctic Antarctic Ocean Elephant Seals Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Antarctic The Antarctic Antarctic Ocean Journal of Multivariate Analysis 101 2 409 418 |
institution |
Open Polar |
collection |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
op_collection_id |
ftccsdartic |
language |
English |
topic |
Functional data analysis RKHS Functional linear model Coregionalization Cokriging Legendre polynomials [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST] [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH] |
spellingShingle |
Functional data analysis RKHS Functional linear model Coregionalization Cokriging Legendre polynomials [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST] [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH] Nerini, David Monestiez, Pascal MANTE, Claude Cokriging for spatial functional data |
topic_facet |
Functional data analysis RKHS Functional linear model Coregionalization Cokriging Legendre polynomials [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST] [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH] |
description |
This work proposes to generalize the method of kriging 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. |
author2 |
Laboratoire de MicrobiologiE de Géochimie et d'Ecologie Marines (LMGEM) Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2 |
format |
Article in Journal/Newspaper |
author |
Nerini, David Monestiez, Pascal MANTE, Claude |
author_facet |
Nerini, David Monestiez, Pascal MANTE, Claude |
author_sort |
Nerini, David |
title |
Cokriging for spatial functional data |
title_short |
Cokriging for spatial functional data |
title_full |
Cokriging for spatial functional data |
title_fullStr |
Cokriging for spatial functional data |
title_full_unstemmed |
Cokriging for spatial functional data |
title_sort |
cokriging for spatial functional data |
publisher |
HAL CCSD |
publishDate |
2010 |
url |
https://hal.archives-ouvertes.fr/hal-00743881 https://doi.org/10.1016/j.jmva.2009.03.005 |
geographic |
Antarctic The Antarctic Antarctic Ocean |
geographic_facet |
Antarctic The Antarctic Antarctic Ocean |
genre |
Antarc* Antarctic Antarctic Ocean Elephant Seals |
genre_facet |
Antarc* Antarctic Antarctic Ocean Elephant Seals |
op_source |
ISSN: 0047-259X EISSN: 1095-7243 Journal of Multivariate Analysis https://hal.archives-ouvertes.fr/hal-00743881 Journal of Multivariate Analysis, Elsevier, 2010, 101 (2), pp.409-418. ⟨10.1016/j.jmva.2009.03.005⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmva.2009.03.005 hal-00743881 https://hal.archives-ouvertes.fr/hal-00743881 doi:10.1016/j.jmva.2009.03.005 PRODINRA: 39536 WOS: 000272526300011 |
op_doi |
https://doi.org/10.1016/j.jmva.2009.03.005 |
container_title |
Journal of Multivariate Analysis |
container_volume |
101 |
container_issue |
2 |
container_start_page |
409 |
op_container_end_page |
418 |
_version_ |
1766261906175164416 |