Preview

Uchenye Zapiski Kazanskogo Universiteta Seriya Estestvennye Nauki

Advanced search

On the Statistical Accuracy of Paleodirections

https://doi.org/10.26907/2542-064X.2023.4.513-523

Abstract

This study examined the applicability of R. Fischer’s approach to the analysis of sample directions in the flow of eruptive rocks. A test of the hypothesis that all samples share a common direction of the ancient field was proposed.

About the Authors

A. V. Khokhlov
Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences
Russian Federation

Moscow, 117997 Russia



G. A. Gvozdik
Geophysical Center, Russian Academy of Sciences
Russian Federation

Moscow, 119296 Russia



I. E. Lebedev
Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
Russian Federation

Moscow, 123242 Russia



References

1. Fisher R.A. Dispersion on a sphere. Proc. R. Soc. A, 1953, vol. 217, no. 1130, pp. 295‒305. https://doi.org/10.1098/rspa.1953.0064.

2. Fisher N.I., Lewis T., Embleton B.J.J. Statistical Analysis of Spherical Data. Cambridge, Cambridge Univ. Press, 1987. 344 p. https://doi.org/10.1017/CBO9780511623059.

3. Tauxe L, Banerjee S.K., Butler R.F., Van der Voo R. Essentials of Paleomagnetism. 5th Web ed., 2018. URL: http://magician.ucsd.edu/essentials/WebBook.html.

4. Heslop D., Scealy J.L., Wood A.T.A., Tauxe L., Roberts A.P. A bootstrap common mean direction test. J. Geophys. Res.: Solid Earth, 2023, vol. 128, no. 8, art. e2023JB026983. https://doi.org/10.1029/2023JB026983.

5. Chou R.-j. Small sample theory of the Langevin distribution. Aust. N. Z. J. Stat., 1986, vol. 28, no. 3, pp. 335–344. https://doi.org/10.1111/j.1467-842X.1986.tb00706.x.

6. Kirschvink J.L. The least-squares line and plane and the analysis of paleomagnetic data. Geophys. J. Int., 1980, vol. 62, no. 3, pp. 699–718. https://doi.org/10.1111/j.1365-246X.1980.tb02601.x.

7. Heslop D., Roberts A.P. Uncertainty propagation in hierarchical paleomagnetic reconstructions. J. Geophys. Res.: Solid Earth, 2020, vol. 125, no. 6, art. e2020JB019488. https://doi.org/10.1029/2020JB019488.

8. Khokhlov A., Hulot G. Principal component analysis of palaeomagnetic directions: Converting a Maximum Angular Deviation (MAD) into an α95 angle. Geophys. J. Int., 2016, vol. 204, no. 1, pp. 274–291. https://doi.org/10.1093/gji/ggv451.

9. Heslop D., Roberts A.P. Analyzing paleomagnetic data: To anchor or not to anchor? J. Geophys. Res.: Solid Earth, 2016, vol 121, no. 11, pp. 7742–7753. https://doi.org/10.1002/2016JB013387.

10. Khokhlov A., Gvozdik G. The process of reconstructing the ancient magnetic field direction: A new approach to paleomagnetic data for a better estimate of accuracy. Appl. Sci., 2023, vol. 13, no. 8, art. 4717. https://doi.org/10.3390/app13084717.

11. Akinin V.V., Miller E.L. Evolution of calc-alkaline magmas of the Okhotsk–Chukotka volcanic belt. Petrology, 2011, vol. 19, no. 3, pp. 237–277. https://doi.org/10.1134/S0869591111020020.

12. Tikhomirov P.L. Melovoi okrainno-kontinental’nyi magmatizm Severo-Vostoka Azii i voprosy genezisa krupneishikh fanerozoiskikh provintsii kremnekislogo vulkanizma [Cretaceous Marginal-Continental Magmatism of Northeast Asia and Problems of the Genesis of the Largest Phanerozoic Provinces of Siliceous Volcanism]. Moscow, GEOS, 2020. 376 p. (In Russian)

13. Gradstein F.M., Ogg J.G., Schmitz M.B., Ogg G.M. (Eds.) Geologic Time Scale 2020. Oxford, Elsevier, 2020. 1390 p.

14. Tikhomirov P.L., Lebedev I.E., Lhuillier F.J.L., Pavlov V.E. Stratigraphy of the Okhotsk– Chukotka belt in the headwaters of the Malyi Anyui River (the vicinity of Kupol deposit): U–Pb and 40Ar/39Ar age data. Dokl. Earth Sci., 2021, vol. 501, pt. 2, pp. 1059–1064. https://doi.org/10.1134/S1028334X2112014X.

15. Butler R.F. Paleomagnetism: Magnetic Domains to Geologic Terranes. Boston, Blackwell Sci. Publ., 1992. 319 p.

16. Veselovskiy R.V., Dubinya N.V., Ponomarev A.V., Fokin I.V., Patonin A.V., Pasenko A.M., Fetisova A.M., Matveev M.A., Afinogenova N.A., Rud’ko D.V., Chistyakova A.V. Shared Research Facilities “Petrophysics, Geomechanics and Paleomagnetism” of the Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. Geodin. Tektonofiz., 2022, vol. 13, no. 2, art. 0579. https://doi.org/10.5800/GT-2022-13-2-0579. (In Russian)

17. Bobrovnikova E.M., Lhuillier F., Shcherbakov V.P., Shcherbakova V.V., Zhidkov G.V., Lebedev I.E., Eid B., Pavlov V.E. High-latitude paleointensities during the Cretaceous Normal Superchron from the Okhotsk–Chukotka Volcanic Belt. J. Geophys. Res.: Solid Earth, 2022, vol. 127, no. 2, art. e2021JB023551. https://doi.org/10.1029/2021JB023551.

18. Lebedev I.E., Bobrovnikova E.M., Tikhomirov P.L., Eid B., Lhuillier F., Pavlov V.E. Amplitude of secular geomagnetic variation in Late Cretaceous based on paleomagnetic studies of the Okhotsk– Chukotka volcanic belt from upper reaches of Malyi Anyui River, West Chukotka. Izv., Phys. Solid Earth, 2022, vol. 58, no. 2, pp. 185–202. https://doi.org/10.1134/S1069351322020045.


Review

For citations:


Khokhlov A.V., Gvozdik G.A., Lebedev I.E. On the Statistical Accuracy of Paleodirections. Uchenye Zapiski Kazanskogo Universiteta Seriya Estestvennye Nauki. 2023;165(4):513-523. (In Russ.) https://doi.org/10.26907/2542-064X.2023.4.513-523

Views: 301


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2542-064X (Print)
ISSN 2500-218X (Online)