Kriging-based prediction of the Earth’s pole coordinates

References

[1] Abdelazeem M, Çelik R N, El-Rabbany A. An accurate Kriging-based regional ionospheric model using combined GPS/BeiDou observations. Journal of Applied Geodesy, 2018 12(1), 65–76.10.1515/jag-2017-0023Suche in Google Scholar

[2] Al-Shaery A, Lim S, Rizos C. Functional models of ordinary kriging for medium range real-time kinematic positioning based on the Virtual Reference Station technique. In: Proceedings of the ION GNSS+, Portland, OR, USA, 21–24 September 2010, pp. 2513–2521.Suche in Google Scholar

[3] Bizouard Ch, Lambert S, Gattano C, Becker O, Richard J.-Y. The IERS EOP 14C04 solution for Earth orientation parameters consistent with ITRF 2014. Journal of Geodesy, 2019, 93, 621–633.10.1007/s00190-018-1186-3Suche in Google Scholar

[4] Dow JM, Neilan RE, Rizos C, The international GNSS Service in a changing landscape of global navigation satellite systems. J Geod, 2009, 83(3–4), 191–198.10.1007/s00190-008-0300-3Suche in Google Scholar

[5] Ferrándiz, J.M.; Navarro, J.; Escapa, A.; Getino, J. The Earth Rotation: a Challenging Problem in Mathematics and Physics. Pure and Applied Geophysics, 172, pp. 57–74, 2015.10.1007/s00024-014-0879-7Suche in Google Scholar

[6] Hozakowski W. Polar motion prediction by the least-squares collocation method. In: Boucher C, Wilkins GA (eds.), Earth rotation and coordinate reference frames. International Association of Geodesy Symposia, Springer, 1990, 105, 50–57.10.1007/978-1-4684-6399-6_7Suche in Google Scholar

[7] Huang Ch, Zhang H, Robeson S. On the Validity of Commonly Used Covariance and Variogram Functions on the Sphere. Mathematical Geosciences. 2011, 43. 721–733.10.1007/s11004-011-9344-7Suche in Google Scholar

[8] IERS Annual Report 2018. Edited by Wolfgang R. Dick and Daniela Thaller. International Earth Rotation and Reference Systems Service, Central Bureau. Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie, 2020. 207 p., ISBN 978-3-86482-136-3.Suche in Google Scholar

[9] IERS Conventions (2010), Petit G and Luzum B (eds.). IERS Technical Note 36, Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie. 179 pp., ISBN 3-89888-989-6.Suche in Google Scholar

[10] Jordan S K. Self-Consistent statistical model for the gravity anomaly, vertical deflections, and undulation of the geoid. J. Geophys. Res., 1972, 77(20), 3660–3670.10.1029/JB077i020p03660Suche in Google Scholar

[11] Jovanović B. An approximation of tabulated function. Publications De L’Institut Mathematique, 1987, 41(55), 143–148.Suche in Google Scholar

[12] Kalarus M, Schuh H, Kosek W, Akyilmaz O, Bizouard Ch, Gambis D, Gross, Jovanović B R, Kumakshev S, Kutterer H, Mendes Cerveira P J, Pasynok S, Zotov L. Achievements of the Earth Orientation Parameters prediction comparison campaign. Journal of Geodesy, 2010, 84, 587–596.10.1007/s00190-010-0387-1Suche in Google Scholar

[13] Kosek W, Kalarus M, Niedzielski T. Forecasting Of the Earth Orientation Parameters – Comparison of Different Algorithms, Journées Systèmes de Référence Spatio-temporels 2007, Observatoire de Paris, 17–19 September 2007.Suche in Google Scholar

[14] Lei Y, Cai H, Zhao D. Improvement of the prediction accuracy of polar motion using empirical mode decomposition. Geodesy and Geodynamics, 2017, 8(2), 141–146.10.1016/j.geog.2016.09.007Suche in Google Scholar

[15] Ligas M, Kulczycki M. Kriging and moving window kriging on a sphere in geometric (GNSS/levelling) geoid modelling, Survey Review, 2018, 50(359), 155–162.10.1080/00396265.2016.1247131Suche in Google Scholar

[16] Ligas M, Szombara S. Geostatistical prediction of a local geometric geoid – kriging and cokriging with the use of EGM2008 geopotential model. Studia Geophysica et Geodaetica, 2018, 62, 187–205.10.1007/s11200-017-0713-7Suche in Google Scholar

[17] Modiri S, Belda S, Heinkelmann R, Hoseini M, Ferrándiz J M, Schuh H. Polar motion prediction using the combination of SSA and Copula based analysis. Earth, Planets and Space, 2018, 70, 115.10.1186/s40623-018-0888-3Suche in Google Scholar PubMed PubMed Central

[18] Modiri S, Belda S, Heinkelmann R, Hoseini M, Ferrándiz J M, Schuh H. A new hybrid method to improve the ultra-short-term prediction of LOD, Journal of Geodesy 94(2), 2020.10.1007/s00190-020-01354-ySuche in Google Scholar PubMed PubMed Central

[19] Moritz H, Mueller I: Earth Rotation: Theory and Observation. Ungar Pub., 1988.Suche in Google Scholar

[20] Okhotnikov G, Golyandina N. EOP Time Series Prediction Using Singular Spectrum Analysis, In: Corpetti T, Ienco D, Interdonato R, et al. (eds.), Proceedings of MACLEAN: MAChine learning for EArth observation workshop, RWTH Aahen University, CEUR Workshop Proceedings, 2019.Suche in Google Scholar

[21] Reguzzoni M, Sansò F, Venuti G. The theory of general kriging, with applications to the determination of a local geoid. Geophysical Journal International, 2005, 162, 303–314.10.1111/j.1365-246X.2005.02662.xSuche in Google Scholar

[22] Schuh H, Ulrich M, Egger D, Müller J, Schwegmann W. Prediction of Earth orientation parameters by artificial neural networks, Journal of Geodesy. 2002, 76, 247–258.10.1007/s00190-001-0242-5Suche in Google Scholar

[23] Stein L M. Interpolation of spatial data – some theory for kriging, Springer, New York, 1999.10.1007/978-1-4612-1494-6Suche in Google Scholar

[24] Xu X, Zhou Y, EOP prediction using least square fitting and autoregressive filter over optimized data intervals, Advances in Space Research, 2015, 56(10), 2248–2253.10.1016/j.asr.2015.08.007Suche in Google Scholar

[25] Ye F, Yuan Y, Deng Z, Improved Ultra-Rapid UT1-UTC Determination and Its Preliminary Impact on GNSS Satellite Ultra-Rapid Orbit Determination, Remote Sensing, 2020, 12, 3584.10.3390/rs12213584Suche in Google Scholar

[26] Zajdel, R., Sośnica, K., Bury, G., Dach R., Prange L., System-specific systematic errors in earth rotation parameters derived from GPS, GLONASS, and Galileo. GPS Solut, 2020 24, 74.10.1007/s10291-020-00989-wSuche in Google Scholar