1. Quantitative Analysis of Paleomagnetic Sampling Strategies.
- Author
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Sapienza, F., Gallo, L. C., Zhang, Y., Vaes, B., Domeier, M., and Swanson‐Hysell, N. L.
- Subjects
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GEOMAGNETISM , *QUANTITATIVE research , *SOIL sampling , *PALEOMAGNETISM , *PLATE tectonics , *ANGULAR distance , *PALEOSEISMOLOGY - Abstract
Sampling strategies used in paleomagnetic studies play a crucial role in dictating the accuracy of our estimates of properties of the ancient geomagnetic field. However, there has been little quantitative analysis of optimal paleomagnetic sampling strategies and the community has instead defaulted to traditional practices that vary between laboratories. In this paper, we quantitatively evaluate the accuracy of alternative paleomagnetic sampling strategies through numerical experiments and an associated analytical framework. Our findings demonstrate a strong correspondence between the accuracy of an estimated paleopole position and the number of sites or independent readings of the time‐varying paleomagnetic field, whereas larger numbers of in‐site samples have a dwindling effect. This remains true even when a large proportion of the sample directions are spurious. This approach can be readily achieved in sedimentary sequences by distributing samples stratigraphically, considering each sample as an individual site. However, where the number of potential independent sites is inherently limited the collection of additional in‐site samples can improve the accuracy of the paleopole estimate (although with diminishing returns with increasing samples per site). Where an estimate of the magnitude of paleosecular variation is sought, multiple in‐site samples should be taken, but the optimal number is dependent on the expected fraction of outliers. The use of filters based on angular distance helps the accuracy of paleopole estimation, but leads to inaccurate estimates of paleosecular variation. We provide both analytical formulas and a series of interactive Jupyter notebooks allowing optimal sampling strategies to be developed from user‐informed expectations. Plain Language Summary: Earth's magnetic field can be preserved in rocks when they form. Through studying these magnetic records using the tools of paleomagnetism, scientists can learn about how Earth's magnetic field has changed through time and how tectonic plates have moved. This study is about the best ways to design sampling approaches to gain these insights using statistical quantification. Traditional protocols emphasize the collection of numerous samples from units that record the field at a given instant in time. Such units are referred to as sites. Through simulating data, we develop tools for evaluating trade‐offs between collecting more sites and more samples per site. Our results show that strategies that maximize collecting more sites, even if fewer samples are taken at each site, leads to more accurate estimates even in the presence of spurious observations. While there is a benefit to more samples per site, particularly for studies seeking to estimate the variability of the ancient field, such sampling has diminishing returns relative to maximizing the number of sites. We provide formulas and interactive computational resources to help the community to make informed decisions about the best way to gather data. Key Points: We explore the effect of alternative sampling strategies on the accuracy of paleomagnetic parameter estimatesThe accuracy of paleopole estimation is dominated by the number of independent site recordings instead of the number of in‐site samplesEven in the presence of frequent outliers, or for studies of paleosecular variation, a focus on sites over in‐site samples is advantageous [ABSTRACT FROM AUTHOR]
- Published
- 2023
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