Spectral Simulation of Gaussian Vector Random Fields on the Sphere

Abstract Isotropic Gaussian random fields on the sphere are used in astronomy, geophysics, oceanography, climatology and remote sensing applications. However, to date, there is a lack of simulation algorithms that reproduce spatial covariance structure without any approximation and, at same time, parsimonious terms computation time memory storage requirements. This work presents two such rely spectral representation isotropic covariances sphere. Both illustrated with synthetic examples.