An optimization method for paleomagnetic Euler pole analysis

Gallo, Leandro C.; Sapienza, Facundo; Domeier, Mathew

doi:10.1016/j.cageo.2022.105150

Cited by 7 publications

(7 citation statements)

References 25 publications

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“…In most treatments, this number of stage poles is subject to researcher choice (however, see theoretical progress in this regard by Gallo et al. (2022)). In this contribution, we develop a Bayesian statistical approach to paleomagnetic Euler pole analysis which attempts to address some of these deficiencies.…”

Section: Interpretation Of Apparent Polar Wander Pathsmentioning

confidence: 99%

“…This issue is addressed theoretically in Gallo et al. (2022) who apply a frequentist approach to paleomagnetic Euler pole inversion and propose a graphical approach to evaluate for the optimal number of inverted Euler poles. The extension of such an approach beyond ideal synthetic data to noisier suites of paleomagnetic data as well as integration with our Bayesian inversion approach could prove fruitful.…”

Section: Challenges and Opportunities In The Application Of Paleomagn...mentioning

confidence: 99%

“…Furthermore, one has the additional challenge and related uncertainty of deciding how many paleomagnetic Euler poles to include for a given sequence of paleomagnetic poles. In most treatments, this number of stage poles is subject to researcher choice (however, see theoretical progress in this regard by Gallo et al (2022)). In this contribution, we develop a Bayesian statistical approach to paleomagnetic Euler pole analysis which attempts to address some of these deficiencies.…”

Section: Paleomagnetic Euler Polesmentioning

confidence: 99%

“…Determining the number of change points to implement in an inversion is an additional challenge, and one that is also more difficult for slow motions or uncertain data. This issue is addressed theoretically in Gallo et al (2022) who apply a frequentist approach to paleomagnetic Euler pole inversion and propose a graphical approach to evaluate for the optimal number of inverted Euler poles.…”

Section: Challenges and Opportunities In The Application Of Paleomagn...mentioning

confidence: 99%

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Bayesian Paleomagnetic Euler Pole Inversion for Paleogeographic Reconstruction and Analysis

2022

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Apparent polar wander paths (APWPs) synthesized from paleomagnetic poles provide the most direct data for reconstructing past paleogeography and plate motions for times earlier than ca. 200 Ma. In this contribution, we describe a new method for APWP synthesis that extends the paleomagnetic Euler pole analysis of Gordon et al. (1984, https://doi.org/10.1029/TC003i005p00499) by placing it within the framework of a Bayesian inverse problem. This approach incorporates uncertainties in pole positions and age that are often ignored in standard treatments. The paleomagnetic Euler poles resulting from the inversions provide estimates for full‐vector plate motion (both latitude and longitude) and associated uncertainty. The method allows for inverting for one or more Euler poles with the timing of changepoints being solved as part of the inversion. In addition, the method allows the incorporation of true polar wander rotations, thus providing an avenue for probabilistic partitioning of plate tectonic motion and true polar wander based on paleomagnetic poles. We show example inversions on synthetic data to demonstrate the method's capabilities. We illustrate application of the method to Cenozoic Australia paleomagnetic poles which can be compared to independent plate reconstructions. A two‐Euler pole inversion for the Australian record recovers northward acceleration of Australia in the Eocene with rates that are consistent with plate reconstructions. We also apply the method to constrain rapid rates of motion for cratonic North America associated with the Keweenawan Track of late Mesoproterozoic paleomagnetic poles. The application of Markov chain Monte Carlo methods to estimate paleomagnetic Euler poles can open new directions in quantitative paleogeography.

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Section: Interpretation Of Apparent Polar Wander Pathsmentioning

confidence: 99%

Section: Challenges and Opportunities In The Application Of Paleomagn...mentioning

confidence: 99%

Section: Paleomagnetic Euler Polesmentioning

confidence: 99%

Section: Challenges and Opportunities In The Application Of Paleomagn...mentioning

confidence: 99%

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Bayesian Paleomagnetic Euler Pole Inversion for Paleogeographic Reconstruction and Analysis

2022

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“…However, recent research (e.g. Rose et al, 2022;Gallo et al, 2022) has reinvigorated paleomagnetic Euler pole analysis (Gordon et al, 1984), and shown that it can retrieve paleo-kinematic information from assemblies of paleomagnetic data of sufficiently high-resolution. While conventionally constructed APWPs cannot meet these requirements, our new framework may provide APWPs that can.…”

Section: Geodynamic Applicationsmentioning

confidence: 99%

Embracing Uncertainty to Resolve Polar Wander: a Case Study of Cenozoic North America

Gallo¹,

Domeier²,

Sapienza

et al. 2023

Preprint

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Our understanding of Earth’s paleogeography relies heavily on paleomagnetic apparent polar wander paths (APWPs), which represent the time-dependent position of Earth’s spin axis relative to a given block of lithosphere. However, conventional approaches to APWP construction have significant limitations. First, the paleomagnetic record contains substantial noise that is not integrated into APWPs. Second, parametric assumptions are adopted to represent spatial and temporal uncertainties even where the underlying data do not conform to the assumed distributions. The consequences of these limitations remain largely unknown. Here, we overcome these challenges with a bottom-up Monte Carlo uncertainty propagation scheme that operates on site-level paleomagnetic data. To demonstrate our methodology, we present an extensive compilation of site-level Cenozoic paleomagnetic data from North America, which we use to generate a high-resolution APWP. Our results demonstrate that even in the presence of substantial noise, polar wandering can be assessed with unprecedented temporal and spatial resolution.

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