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Adds one native temporal covariance source. temporal_indep() fits an AR1 or OU process for each trait, temporal_dep() fits that process with an unstructured trait covariance, and temporal_latent() fits rank-one trait loadings. With unique = TRUE, the temporal diagonal Psi is also correlated across occasions; it is not independent occasion noise. Temporal sources can be added to ordinary unit and unit_obs terms. The initial cross-source cells are replicated AR1 temporal_indep() plus one labelled kernel_indep(), a fixed labelled phylo_indep() term, or a fixed labelled animal_indep() term, or a fixed labelled spatial_indep() term. The spatial cell redraws its independent SPDE field during unconditional simulation. Other temporal-source combinations remain unavailable. For an unreplicated, Gaussian temporal_indep() source by itself, forecast_temporal(), profile_temporal(), bootstrap_temporal(), and compare_temporal() have separate bounded contracts. Generic new-data prediction, generic intervals and profiles, automatic selection, and source-pair versions of those routes remain unavailable.

Usage

temporal_indep(formula, time, structure = "ar1", replicate = NULL)

temporal_dep(formula, time, structure = "ar1", replicate = NULL)

temporal_latent(
  formula,
  time,
  d = 1,
  structure = "ar1",
  replicate = NULL,
  unique = FALSE
)

Arguments

formula

A bar expression such as 0 + trait | series.

time

Bare column naming ordered occasions. AR1 requires integers and preserves their gaps; OU accepts elapsed numeric time without rescaling.

structure

Either "ar1" or "ou".

replicate

Optional bare column distinguishing repeated measurements at a series–occasion–trait cell.

d

Latent rank. This version supports 1.

unique

For temporal_latent(), include a trait-diagonal temporal Psi.

Value

A formula marker consumed by gllvmTMB().