# Spatio-Temporal Modeling of Large Data Using a Spectral SPDE Approach

## Documentation for package ‘spate’ version 1.5

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

spate-package | Spatio-temporal modeling of large data with the spectral SPDE approach
cols | Function that returns the color scale for 'image()'.
ffbs | Forward Filtering Backward Sampling algorithm.
ffbs.spectral | Forward Filtering Backward Sampling algorithm in the spectral space of the SPDE.
get.propagator | Propagator matrix G.
get.propagator.vec | Propagator matrix G in vector form.
get.real.dft.mat | Matrix applying the two-dimensional real Fourier transform.
index.complex.to.real.dft | Auxilary function for the real Fourier transform.
innov.spec | Spectrum of the innovation term epsilon.
lin.pred | Linear predictor.
loglike | Log-likelihood of the hyperparameters.
map.obs.to.grid | Maps non-gridded data to a grid.
matern.spec | Spectrum of the Matern covariance function.
mcmc.summary | Summary function for MCMC output.
Palpha | Prior for direction of anisotropy in diffusion parameter alpha.
Pgamma | Prior for amount of anisotropy in diffusion parameter gamma.
Plambda | Prior for transformation parameter of the Tobit model.
plot.spateMCMC | Plot fitted spateMCMC objects.
plot.spateSim | Plotting function for 'spateSim' objects.
Pmux | Prior for y-component of drift.
Pmuy | Prior for y-component of drift.
post.dist.hist | Histogram of posterior distributions.
Prho0 | Prior for range parameter rho0 of innovation epsilon.
Prho1 | Prior for range parameter rho1 of diffusion.
print.spateMCMC | Print function for spateMCMC objects.
print.spateSim | Print function for 'spateSim' objects.
propagate.spectral | Function that propagates a state (spectral coefficients).
Psigma2 | Prior for for variance parameter sigma2 of innovation epsilon. hyperparameter.
Ptau2 | Prior for nugget effect parameter tau2.
Pzeta | Prior for damping parameter zeta.
real.fft | Fast calculation of the two-dimensional real Fourier transform.
real.fft.TS | Fast calculation of the two-dimensional real Fourier transform of a space-time field. For each time point, the spatial field is transformed.
sample.four.coef | Sample from the full conditional of the Fourier coefficients.
spate | Spatio-temporal modeling of large data with the spectral SPDE approach
spate.init | Constructor for 'spateFT' object which are used for the two-dimensional Fourier transform.
spate.mcmc | MCMC algorithm for fitting the model.
spate.plot | Plot a spatio-temporal field.
spate.predict | Obtain samples from predictive distribution in space and time.
spate.sim | Simulate from the SPDE.
spateMCMC | 'spateMCMC' object output obtained from 'spate.mcmc'.
spateMLE | Maximum likelihood estimate for SPDE model with Gaussian observations.
summary.spateSim | Summary function for 'spateSim' objects.
tobit.lambda.log.full.cond | Full conditional for transformation parameter lambda.
trace.plot | Trace plots for MCMC output analysis.
TSmat.to.vect | Converts a matrix stacked vector.
vect.to.TSmat | Converts a stacked vector into matrix.
vnorm | Eucledian norm of a vector
wave.numbers | Wave numbers.