Cristin-resultat-ID: 1254313
Sist endret: 18. januar 2016, 15:52
NVI-rapporteringsår: 2015
Resultat
Vitenskapelig artikkel
2015

Estimation of a non-stationary model for annual precipitation in southern Norway using replicates of the spatial field

Bidragsytere:
  • Rikke Ingebrigtsen
  • Finn Lindgren
  • Ingelin Steinsland og
  • Sara Martino

Tidsskrift

Spatial Statistics
ISSN 2211-6753
e-ISSN 2211-6753
NVI-nivå 1

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2015
Publisert online: 2015
Trykket: 2015
Volum: 14 C
Sider: 338 - 364

Importkilder

Scopus-ID: 2-s2.0-84949098613

Beskrivelse Beskrivelse

Tittel

Estimation of a non-stationary model for annual precipitation in southern Norway using replicates of the spatial field

Sammendrag

Estimation of stationary dependence structure parameters using only a single realisation of the spatial process, typically leads to inaccurate estimates and poorly identified parameters. A common way to handle this is to fix some of the parameters, or within the Bayesian framework, impose prior knowledge. In many applied settings, stationary models are not flexible enough to model the process of interest, thus non-stationary spatial models are used. However, more flexible models usually means more parameters, and the identifiability problem becomes even more challenging. We investigate aspects of estimation of a Bayesian non-stationary spatial model for annual precipitation using observations from multiple years. The model contains replicates of the spatial field, which increases precision of the estimates and makes them less prior sensitive. Using R-INLA, we analyse precipitation data from southern Norway, and investigate statistical properties of the replicate model in a simulation study. The non-stationary spatial model we explore belongs to a recently introduced class of stochastic partial differential equation (SPDE) based spatial models. This model class allows for non-stationary models with explanatory variables in the dependence structure. We derive conditions to facilitate prior specification for these types of non-stationary spatial models.

Bidragsytere

Aktiv cristin-person

Rikke Ingebrigtsen

  • Tilknyttet:
    Forfatter
    ved Institutt for matematiske fag ved Norges teknisk-naturvitenskapelige universitet

Finn Lindgren

  • Tilknyttet:
    Forfatter
    ved University of Bath

Ingelin Steinsland

  • Tilknyttet:
    Forfatter
    ved Institutt for matematiske fag ved Norges teknisk-naturvitenskapelige universitet

Sara Martino

  • Tilknyttet:
    Forfatter
    ved Energisystemer ved SINTEF Energi AS
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