stModel.define: Define a spacetime model object for the 'f()' call.

In INLAspacetime: Spatial and Spatio-Temporal Models using 'INLA'

Define a spacetime model object for the f() call.

Description

Define a spacetime model object for the f() call.

Usage

stModel.define(
  smesh,
  tmesh,
  model,
  control.priors,
  constr = FALSE,
  debug = FALSE,
  useINLAprecomp = TRUE,
  libpath = NULL
)

Arguments

smesh	a spatial mesh
tmesh	a temporal mesh
model	a three characters string to specify the smoothness alpha (each one as integer) parameters. Currently it considers the 102, 121, 202 and 220 models.
control.priors	a named list with parameter priors, named as prs, prt and psigma, each one as a vector with length two containing (U, a) to define the corresponding PC-prior such that, respectively, P(range.spatial<U)=a, P(range.temporal<U)=a or P(sigma>U)=a. If a=0 then U is taken to be the fixed value of the parameter.
constr	logical to indicate if the integral of the field over the domain is to be constrained to zero. Default value is FALSE.
debug	integer indicating the verbose level. Will be used as logical by INLA.
useINLAprecomp	logical indicating if is to be used shared object pre-compiled by INLA. Not considered if libpath is provided.
libpath	string to the shared object. Default is NULL.

Details

The matrices of the kronecker product in Theorem 4.1 of Lindgren et. al. (2024) are computed with the stModel.matrices and the parameters are as Eq (19-21), but parametrized in log scale.

Value

objects to be used in the f() formula term in INLA.

References

Finn Lindgren, Haakon Bakka, David Bolin, Elias Krainski and Håvard Rue (2024). A diffusion-based spatio-temporal extension of Gaussian Matérn fields. SORT 48 (1), 3-66 <doi: 10.57645/20.8080.02.13>

INLAspacetime documentation built on April 4, 2025, 1:38 a.m.