TY - JOUR A1 - Mauerberger, Stefan A1 - Schanner, Maximilian Arthus A1 - Korte, Monika A1 - Holschneider, Matthias T1 - Correlation based snapshot models of the archeomagnetic field T2 - Geophysical journal international N2 - For the time stationary global geomagnetic field, a new modelling concept is presented. A Bayesian non-parametric approach provides realistic location dependent uncertainty estimates. Modelling related variabilities are dealt with systematically by making little subjective apriori assumptions. Rather than parametrizing the model by Gauss coefficients, a functional analytic approach is applied. The geomagnetic potential is assumed a Gaussian process to describe a distribution over functions. Apriori correlations are given by an explicit kernel function with non-informative dipole contribution. A refined modelling strategy is proposed that accommodates non-linearities of archeomagnetic observables: First, a rough field estimate is obtained considering only sites that provide full field vector records. Subsequently, this estimate supports the linearization that incorporates the remaining incomplete records. The comparison of results for the archeomagnetic field over the past 1000 yr is in general agreement with previous models while improved model uncertainty estimates are provided. KW - geopotential theory KW - archaeomagnetism KW - magnetic field variations through KW - time KW - palaeomagnetism KW - inverse theory KW - statistical methods Y1 - 2020 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/59315 SN - 0956-540X SN - 1365-246X VL - 223 IS - 1 SP - 648 EP - 665 PB - Oxford Univ. Press CY - Oxford ER -