Magmatism and volcanism exhibit spatial and temporal clustering on a wide range of scales. We will address this by quantifying the spatial clustering of magmatism and volcanism in several data sets in the east Barents Sea and North Atlantic.
The spatial correlation function will be estimated based on a two-point statistics. The temporal pair-correlation function will be used to identify temporal clustering of magmatism and volcanism in the radiometric age data in the east Barents Sea and North Atlantic. At the global scale, isotropic Gaussian random fields on the sphere can be characterized by Karhunen–Loeve expansions with respect to the spherical harmonic functions and the angular power spectrum.
The stochastic heat equation on the sphere driven by an isotropic Gaussian random field of temperature anomalies in the upper mantle can be considered and its gravity spectrum will be compared with the observations.
We will also address the methods to validate the statistical relations retrieved from the data, since a simple fitting of the observation may give some biased results.