Spatial and Spatio-temporal Circular Processes with Application to Wave Direction
In application we often find directional data that is associated with locations in space and time. Examples include wind directions, animal movement directions, and our motivating application here, wave directions. To analyze such data we need models for observations at locations $mathbf{s}$ and times $t$, so-called geostatistical models providing structured dependence which is assumed to decay in distance and time. For wave directions in a body of water, we conceptualize a conceptual wave direction at every location and every time.