  This paper introduces a new modelling framework for multivariate anisotropic
Cox processes. Building on recent innovations in multivariate spatial
statistics, we propose a new family of multivariate anisotropic random fields
and construct a family of anisotropic point processes from it. We give
conditions that make the models valid, and we provide additional understanding
of valid point process dependence. We also propose a likelihood-based inference
mechanism for this type of process. Finally we illustrate the utility of the
proposed modelling framework by analysing spatial ecological observations of
plants and trees in the Barro Colorado Island study.
