National Datum Uncertainty due to Reference Frame Transformation: Case Study for the Geodetic Datum of Taiwan
Publication: Journal of Surveying Engineering
Volume 140, Issue 3
Abstract
With the advent of global navigation satellite systems (GNSSs), many national geodetic datums have been established with modern technology and referenced to a specific epoch of the international terrestrial reference frame (ITRF) definition. Following the static datum concept, the datum remains unchanged after its publication, which consequently creates problems in datum maintenance. In the recent update of TWD97, the national datum presently used in Taiwan, the resurvey coordinates are transformed back to the original frame but expressed in a recent epoch. In this study, the uncertainties resulting from the transformation between ITRF definitions in the region of Taiwan were investigated. Based on error propagation, a standard error of was estimated due to the transformation of the TWD97 coordinates between ITRF2005(2010.0) and ITRF94(2010.0). The uncertainties propagated from transformation parameters are more significant than those from station coordinates and velocities, and the uncertainty expands with the time interval. The SD is for the transformation between ITRF2005 and ITRF2000. Considering that the uncertainty between later definitions is much smaller than transforming to ITRF94, it may be preferable to replace the ITRF94 with a modern ITRF definition, at least ITRF2000, for the next TWD97 datum maintenance.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors are grateful to the anonymous reviewers for valuable comments and suggestions which greatly improved the paper.
References
Aktuğ, B. (2009). “Inverse and compound datum/frame transformations.” J. Surv. Eng., 46–55.
Altamimi, Z., Sillard, P., and Boucher, C. (2002). “ITRF2000: A new release of the international terrestrial reference frame for earth science applications.” J. Geophys. Res., 107(10), 1–19.
Blick, G., Crook, C., Grant, D., and Beavan, J. (2003). “Implementation of a semi-dynamic datum for New Zealand.” Proc., Int. Assn. Geodesy General Assembly, A Window on the Future of Geodesy, Vol. 128, Springer Berlin Heidelberg, Berlin, Heidelberg, Germany, 38–43.
Boucher, C., Altamimi, Z., Feissel, M., and Sillard, P. (1996). “Results and analysis of the ITRF94.” IERS Tech. Note No. 20, Obs. de Paris, Paris.
Boucher, C., Altamimi, Z., Sillard, P., and Feissel-Vernier, M. (2004). “The ITRF2000.” IERS Tech. Note No. 31, Verlag des Bundesamts für Kartographie und Geodäsie, Frankfurt, Germany.
Han, J. Y. (2010). “Noniterative approach for solving the indirect problems of linear reference frame transformations.” J. Surv. Eng., 150–156.
Han, J. Y., van Gelder, B. H., Soler, T., and Snay, R. A. (2008). “Geometric combination of multiple terrestrial network solutions.” J. Surv. Eng., 126–131.
Han, J. Y., and van Gelder, B. H. W. (2006). “Stepwise parameter estimations in a time-variant similarity transformation.” J. Surv. Eng., 141–148.
Han, J. Y., Yu, S. W., and van Gelder, B. H. W. (2011). “Time-variant reference frame transformations in a deforming area.” Surv. Rev., 43(321), 284–295.
International Terrestrial Reference Frame (ITRF). (2013). “The international reference frame.” 〈http://itrf.ensg.ign.fr/〉 (Apr. 5, 2013).
Kutoglu, H. S. (2004). “Figure condition in datum transformation.” J. Surv. Eng., 138–141.
Kutoglu, H. S. (2009). “Alternative methods for improving transformation consistency between geocentric and nongeocentric (local) coordinate systems.” Surv. Rev., 41(314), 408–418.
Mitsakaki, C., Agatza-Balodimou, A. M., and Papazissi, K. (2006). “Geodetic reference frames transformations.” Surv. Rev., 38(301), 608–618.
Morgan, P., et al. (1996). “A zero order GPS network for the Australian region.” UNISURV Rep. S-46, Univ. of NSW, Kensington, Australia.
National Land Surveying and Mapping Center (NLSC). (2012). Rep. of Geodetic Datum and TWD97 Coordinate System Solution at 2010, Taichung City, Taiwan.
Schwarz, C. R., and Wade, C. B. (1990). “The North American Datum of 1983: Project methodology and execution.” Bull. Geod., 64(1), 28–62.
Soler, T., and Marshall, J. (2002). “Rigorous transformation of variance-covariance matrices of GPS-derived coordinates and velocities.” GPS Solut., 6(1–2), 76–90.
Soler, T., and Marshall, J. (2003). “A note on frame transformations with applications to geodetic datums.” GPS Solut., 7(1), 23–32.
Tsuji, H., and Komaki, K. (2005). “Towards the realization of geo-referencing infrastructure for dynamic Japan (GRID-Japan).” Bull. Geogr. Surv. Inst. Jpn., 52(3), 1–11.
Tsuji, H., and Matsuzaka, S. (2004). “Realization of horizontal geodetic coordinates 2000.” Bull. Geogr. Surv. Inst. Jpn., 51(3), 11–30.
Wessel, P., and Smith, W. H. F. (2013). The generic mapping tools (GMT) technical reference and cookbook, Univ. of Hawaii, Manoa, HI.
Yang, M., Tseng, C.-L., and Yu, J.-Y. (2001). “Establishment and maintenance of Taiwan geodetic datum 1997.” J. Surv. Eng., 119–132.
Yeh, T. K., Chao, B. F., Chen, C. S., Chen, C. H., and Lee, Z. Y. (2012). “Performance improvement of network based RTK GPS positioning in Taiwan.” Surv. Rev., 44(324), 3–8.
Yu, S. B., Chen, H. Y., and Kuo, L. C. (1997). “Velocity field of GPS stations in the Taiwan area.” Tectonophysics, 274(1–3), 41–59.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 11, 2013
Accepted: Feb 21, 2014
Published online: Mar 28, 2014
Published in print: Aug 1, 2014
Discussion open until: Aug 28, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.