Main factors for progress are 1) the development of reliable error treatments, which allow to combine data from different sources without introducing modeling artifacts, 2) to accelerate the individual field inversion runs on large data sets, to enable multiple runs for a thorough statistical analysis, 3) to develop a verification method which adapts to the characteristics of the data set used for inversion.The German archaeomagnetic data set was supplemented with 35 new directions from German sites mainly dating from the past 3000 yr.Accordingly, the main problems for a reliable inversion of the available data into a global model of geomagnetic field variation are inhomogenous data distribution, and highly variable data quality.
Archeomagnetic and paleomagnetic dating
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By comparing the magnetic direction recorded by the feature with a calibrated reconstruction of changes in the magnetic field through time, we can determine when that feature acquired the measured direction.
Archaeomagnetism refers to the application of paleomagnetic methods and theory to archaeological problems.
To this end the surface field is conveniently described by a sufficiently smooth temporal evolution of its spherical harmonic coefficients.
Historical data of the magnetic field before the time of Gauss and Humboldt are mainly declination measurements.
To answer some of the questions just raised, we need measurements of the geomagnetic field.