Bayesian spatial models in INLA

Typically, the linear predictor contains both:

  • (independent) linear covariate effects: \(X_i \cdot \beta\)
    These will typically correspond to the fixed effects of frequentist GLMMs.
  • other covariate effects: \(Z_i\)
    E.g. non-linear effects, spatial, time & seasonal patterns, random intercepts & slope.