Abstract We propose a global geomagnetic field model for the last 14 thousand years, based on thermoremanent records. call ArchKalmag14k. ArchKalmag14k is constructed by modifying recently proposed algorithms, space‐time correlations. Due to amount of data and complexity model, full Bayesian posterior numerically intractable. To tackle this, we sequentialize inversion implementing Kalman‐filter with fixed time step. Every step consists prediction, degree dependent temporal covariance,...

Patterns of the magnetic signature ionospheric currents, generated from an empirical model based on satellite observations, are used to build a statistical correlation for fields. In order stabilize dynamics and take into account dominant role sun, fields represented in solar coordinates. The covariance structure is analyzed second process that approximates full generated. We show synthetic data observations located at Earth observatories, field pattern as observed earth surface can be...

Investigations of the Earth's internal magnetic field over millennial timescales are based on paleomagnetic data thermoremanent or sedimentary origin. Both sources affected by uneven spatial coverage, measurement errors, and dating uncertainties. In recent years, several Bayesian models have been developed to reconstruct Holocene geomagnetic field, aiming address these challenges reflect resulting uncertainties in posterior distribution. Many approaches can be unified Gaussian process...

The Earth’s magnetic field is invisible and cannot be sensed by the human body. Yet, it plays a crucial role for life: besides its most prominent in navigation, serves as protective shield against harmful solar cosmic radiation. Among dramatic variations of are reversals, marked significant decrease intensity complete flip poles. Geomagnetic reversals well-documented paleomagnetic records spanning Earth's geological history. They considered natural characteristic geomagnetic occur...

The longterm evolution of the Sun's activity is crucial interest, when trying to understand both recent and historical climatic changes. On timescales beyond direct observation through sunspots, one has rely on records cosmogenic radionuclides, such as 14C 10Be. These radionuclides can be found, for example, in tree rings ice cores. Their production rates are modulated by solar activity, but also Earth's magnetic field, thus contain an entangled signal their evolution. We constructed a joint...

Data-based geomagnetic models are key for mapping the global field, predicting movement of magnetic poles, understanding complex processes happening in outer core, and describing expression field reversals. There exists a wide range models, which differ priori assumptions methods interpolation data space time. A frequently used modeling procedure is based on regularized least squares (RLS) spherical harmonic analysis, has been since 1980s. This technique minimizes error between modeled...

Abstract Geomagnetic field models over past millennia rely on two main data sources: archeomagnetic provide snapshots of the geomagnetic at specific locations, and sediment records deliver time series locations. The limited temporal spatial coverage necessitates incorporation especially when go further back in time. When working with one should consider post‐depositional detrital remanent magnetization (pDRM) process, which can cause delayed smoothed signals. To address distortion associated...

SUMMARY 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 priori assumptions. Rather than parametrizing model Gauss coefficients, functional analytic applied. The potential assumed Gaussian process to describe distribution over functions. correlations given an explicit...

Abstract The primary data sources for reconstructing the geomagnetic field of past millennia are archeomagnetic and sedimentary paleomagnetic data. Sediment records, in particular, crucial extending temporal spatial coverage global models, especially when sparse. exact process on how sediment acquire magnetization including post‐depositional detrital remanent is still poorly understood. However, it widely accepted that these effects lead to a smoothing magnetic signal offsets with respect...

Many existing global geomagnetic field models for historical and longer timescales are based on spherical harmonics the spatial part low order basis splines temporal dynamics. The related modeling procedure is well established implements a regularized non-linear least squares inversion. Early papers methodology already mention uncertainty estimation in this context. Even though they use different language, connects approach to Bayesian statistics. However, most likely due computational...

Geomagnetic field models covering past millennia rely on two main data sources: archaeomagnetic data, that provide snapshots of the geomagnetic at specific locations, and sediment records, deliver time series from individual drill cores. The limited temporal spatial global coverage with necessitates use especially when go further back in time. However, accurate preprocessing interpretation is crucial. Unlike does not absolute values for intensities declinations; instead, it represents...

Paleomagnetic data enables the global reconstruction of geomagnetic field, allowing investigation significant events like polarity reversals and excursions. When compared to prior reversals, most recent one, Matuyama-Brunhes (MB), is best recorded reversal in terms number available paleomagnetic data. Nevertheless, several these have poor age control, they are not distributed equally worldwide. Few models been presented for MB; GGFMB (Global Geomagnetic Field Model MB reversal). Limitations...

Abstract Geomagnetic field models covering past millennia rely on two main data sources: archaeomagnetic data, that provide snapshots of the geomagnetic at specific locations, and sediment records, deliver time series from individual cores. The limited temporal spatial global coverage with necessitates use especially when go further back in time. However, accurate preprocessing interpretation is crucial. Unlike does not absolute values for intensities declinations; instead, it represents...

Abstract Modern geomagnetic field models are constructed from satellite and observatory data, while on the millennial timescale indirect records of thermoremanent sedimentary origin. An intermediate period, spanning last four centuries, is covered by historical survey data ship-logs, which strongly dominated declination information. We apply a sequentialized, Gaussian process-based modeling technique to this dataset propose new model for era. In order investigate information gained we...

Abstract In a previous study, new snapshot modeling concept for the archeomagnetic field was introduced (Mauerberger et al., 2020, https://doi.org/10.1093/gji/ggaa336 ). By assuming Gaussian process geomagnetic potential, correlation‐based algorithm presented, which incorporates closed‐form spatial correlation function. This work extends suggested strategy to temporal domain. A space‐time kernel is constructed from tensor product of with squared exponential in time. Dating uncertainties are...

Earth and Space Science Open Archive This work has been accepted for publication in Journal of Geophysical Research - Solid Earth. Version RecordESSOAr is a venue early communication or feedback before peer review. Data may be preliminary. Learn more about preprints. preprintOpen AccessYou are viewing the latest version by default [v1]ArchKalMag14k: A Kalman-filter based global geomagnetic model HoloceneAuthorsMaximilian ArthusSchanneriDMonikaKorteiDMatthiasHolschneiderSee all authors...

Abstract Modern geomagnetic field models are constructed from satellite and observatory data, while on the millenial timescale indirect records of thermoremanent sedimentary origin. An intermediate period, spanning last four centuries, is covered by historical survey data ship-logs, which strongly dominated declination information. We apply a sequentialized, Gaussian process based modeling technique to this dataset propose new model for era. In order investigate information gained we...

<p>For the global time stationary geomagnetic core field, a new modeling concept for Holocene archeomagnetic data is presented. Major challenges consist of uneven distribution, missing vector field components and non-linear relations between observations potential. Instead truncated spherical harmonics approach, we propose fully Bayesian, Gaussian process based model. Inherently, Bayesian approach provides location dependent uncertainties.</p><p>The...

Earth and Space Science Open Archive This is a preprint has not been peer reviewed. ESSOAr venue for early communication or feedback before review. Data may be preliminary.Learn more about preprints preprintOpen AccessYou are viewing the latest version by default [v1]Correlation based time evolution of archeomagnetic fieldAuthorsMaximilianSchanneriDStefanMauerbergeriDMonikaKorteiDMatthiasHolschneiderSee all authors Maximilian SchanneriDCorresponding Author• Submitting AuthorGerman Research...