Comparisons of GPS-Derived Orthometric Heights Using Local Geometric Geoid Models1
Publication: Journal of Surveying Engineering
Volume 133, Issue 1
Abstract
The purpose of the research was to compare measuring orthometric heights using differential leveling, static global positioning observations, and real-time kinematic (RTK) Global Positioning System (GPS) observations in the vicinity of the University of Conn. campus. Height observations were recorded at temporary and permanent monuments using differential leveling, static GPS, and RTK. Heights at permanent monuments with published elevations were observed using each method and served as control and to check the quality of all measurements. Three-dimensional reference ellipsoid coordinates derived from GPS observations and published orthometric heights were used to create local geoid models, which were then used to convert ellipsoid heights observed with the static GPS and RTK to orthometric heights. The resulting values were used to compare between the measuring methods. In general, static GPS performed better than RTK. Several polynomial surface models of different orders were fitted to the geoid heights, from a constant up to a quadratic. No meaningful distinctions could be drawn between the models indicating that, for a small geographical area, shifting the national geoid model, GEOID03, by a constant vertical amount performs as well as the more complicated approaches. Experience showed that multiple, independent RTK observations on the same day are not sufficient to ensure freedom from systematic errors.
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Acknowledgments
The writers gratefully acknowledge the comments and suggestions of anonymous reviewers whose careful attention to this work has improved its presentation and quality. We also would like to thank Jay Doody of the Connecticut Department of Transportation for the generous loan of the leveling equipment and processing software.
References
Butsch, F. (2002). “Radiofrequency interference and GPS: A growing concern.” GPS World, 13(10), 40–49.
Featherstone, W. E., Dentith, M. C., and Kirby, J. F. (1998). “Strategies for the accurate determination of orthometric heights from GPS.” Surv. Rev., 34(267), 278–296.
Featherstone, W. E., and Stewart, M. P. (2001). “Combined analysis of real-time kinematic GPS equipment and its users for height determination.” J. Surv. Eng., 127(2), 31–51.
Federal Geodetic Control Subcommittee. (1994). “FGCS specifications and procedures to incorporate electronic digital/barcode leveling systems. V4.0.” National Geodetic Survey, Silver Spring, Md.
Fiedler, J. (1992). “Orthometric heights from GPS.” J. Surv. Eng., 118(3), 70–79.
Fotopoulos, G., Kotsakis, C., and Sideris, M. G. (2003). “How accurately can we determine orthometric height differences from GPS and geoid data?” J. Surv. Eng., 129(1), 1–10.
Hajela, D. (1990). “Obtaining centimeter-precision heights by GPS observations over small areas.” GPS World, 1(1), 55–59.
Meyer, T. H., Bean, J. E., Ferguson, C. R., and Naismith, J. M. (2002). “The effect of broadleaf canopies on survey-grade horizontal GPS/GLONASS measurements.” Surveying and Land Information Science, 62(4), 215–224.
Ott, R. L. (1993). An introduction to statistical methods and data analysis, 4th Ed., Duxbury Press, Belmont, Calif., 813–818.
Parks, W. (1998). “Accuracy of GPS-derived leveling section orthometric height difference in San Diego County, Calif.” Surv. Land Inf. Sys., 58(1), 31–46.
Roman, D. R., Wang, Y. M., Henning, W., and Hamilton, J. (2004). “Assessment of the new national geoid height model, GEOID03.” Surveying and Land Information Science, 64(3), 153–162.
Smith, D. A., and Roman, D. R. (2001). “GEOID99 and G99SSS:1-arc-minute geoid models for the United States.” J. Geodesy, Berlin, 75(9–10), 469–490.
TOPCON. (2000). Instruction manual for TOPCON electronic digital level DL 101/102, TOPCON Corp., Tokyo, Japan.
Tranes, M. D. (2003). “Comparisons of GPS-derived orthometric heights using local geometric geoid models,” Master's thesis, Univ. of Connecticut, Storrs, Conn.
Wolf, P. R., and Ghilani, C. D. (1997). Adjustment computations: Statistics and least squares in surveying and GIS, Wiley, New York.
Wolfram, S., (1999). The mathematica book, 4th Ed., Cambridge University Press, Cambridge, U.K.
Zar, J. H. (1996). Biostatistical analysis, 3rd Ed., Prentice Hall, N.J.
Zilkoski, D. B., D’Onofrio, J. D., and Frakes, S. J. (1997). Guidelines for establishing GPS-derived ellipsoidal heights (Standards: 2 and )—Version 4.3, NOAA Technical Memorandum NOS NGS-58, National Geodetic Survey, Silver Spring, Md.
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© 2007 ASCE.
History
Received: May 19, 2005
Accepted: Jul 13, 2006
Published online: Feb 1, 2007
Published in print: Feb 2007
Notes
This material was presented at ASPRS Annual Conference, May 23–28, 2004, Denver, Colo.
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