NAD83(CSRS) v7

NAD83(CSRS) v7

The Canadian Geodetic Survey (CGS) is releasing a new version of NAD83(CSRS) that is based on a transformation from the most recent ITRF2014, the current realization of the International Terrestrial Reference Frame. This new version improves the accuracy of NAD83(CSRS) and maintains its relationship with ITRF. The transformation was derived from the procedure agreed upon with the U.S. National Geodetic Survey by adding the incremental ITRF2008‑ITRF2014 transformation, as adopted by the International Earth Rotation and Reference Frames Service, to the previously adopted ITRF2008‑NAD83(CSRS) v6 transformation. This transformation has been implemented in CGS tools CSRS-PPP, TRX, and GPS-H since the International GNSS Service adopted ITRF2014 (referred to as IGS14) in their operations.

This updated version of NAD83(CSRS) v7 is compatible with all previous versions of NAD83(CSRS) and uses the same 2010.0 coordinate reference epoch as NAD83(CSRS) v6. It provides a more accurate realization of NAD83(CSRS) for both coordinates and velocities of CACS and CBN stations, due to:

  • six more years of observations at stations already in NAD83(CSRS) v6;
  • new stations filling gaps in coverage, especially in northern and remote regions;
  • re-processing of all GNSS data with the latest models (e.g. updated antenna calibrations, ionospheric, and earth models, etc.);
  • treatment of earthquakes and other transient velocity disruptions.

The coordinate differences with NAD83(CSRS) v6 at epoch 2010.0 are generally less than 1 cm while the velocity differences are of the order of 0.5-1 mm/yr. Differences between the versions of NAD83(CSRS) are mainly due to the effects of earthquakes, the amount of data used, changes to the adjustment methodology, and changes in the new realization of ITRF.

NAD83(CSRS) v7 Velocity Grid - NAD83v70VG

Along with the new realization of NAD83(CSRS), CGS is releasing a new velocity grid which accounts for crustal motion in 3D. The new grid is implemented in the CGS tools CSRS-PPP and TRX for epoch transformations and is made available for scientific purposes such as relative sea level rise estimation.

Why has the velocity grid been updated?

The new velocity grid incorporates the improved NAD83(CSRS) v7 velocity field and includes continuous and high accuracy campaign GNSS data in Canada, Greenland, and surrounding areas of the USA, as well as new data processing and modeling techniques. These contribute to an improved representation of crustal motion. Specifically, improvements over NAD83v60VG come from:

  • an improved velocity field (see NAD83(CSRS) v7 details above);
  • new data interpolation methods;
  • incorporation of Glacial Isostatic Adjustment and elastic models in the vertical component to supplement data interpolation in areas with sparse observations;
  • grid extension of 1° in the west and 10° in the east;
  • gridded model of uncertainty estimates (see figures 1a, 1b, and 1c).
Figure 1a NAD83v70VG North Uncertainty
Figure 1a NAD83v70VG North Uncertainty
Figure 1b NAD83v70VG East Uncertainty
Figure 1b NAD83v70VG East Uncertainty
Figure 1c NAD83v70VG Vertical Uncertainty
Figure 1c NAD83v70VG Vertical Uncertainty

What will be the impact on users?

  • More accurate propagation of coordinates between epochs.
  • Results of coordinate epoch propagation will differ when generated using different velocity grids. The magnitude of the difference between the grids varies by region. This will mostly affect users propagating over long periods (e.g. back to 2002.0 or 1997.0 reference epochs).
    • The TRX desktop application provides users a choice of which model to use;
    • Figures 2a, 2b, and 2c show the difference between the v7 and v6 velocity grids.
  • Observed velocities may differ from those predicted by the velocity grid, especially where there are anomalous local motions such as post-seismic deformation or where the GNSS station distribution is sparse.
Figure 2a North difference between v7 and v6 velocity grids
Figure 2a North difference between v7 and v6 velocity grids
Figure 2b East difference between v7 and v6 velocity grids
Figure 2b East difference between v7 and v6 velocity grids
Figure 2c Vertical difference between v7 and v6 velocity grids
Figure 2c Vertical difference between v7 and v6 velocity grids
Height Transformation version 2.0 (HTv2.0), Epochs 2002.0 and 2010.0

Along with the release of the NAD83(CSRS) v7 velocity grid, CGS is releasing versions of the HTv2.0 hybrid geoid model for reference epochs 2002.0 and 2010.0. HTv2.0 is a hybrid geoid model allowing for the direct transformation of ellipsoidal heights in the NAD83(CSRS) reference frame to orthometric heights that are compatible with the Canadian Geodetic Vertical Datum of 1928 (CGVD28). HTv2.0 is based on the gravimetric geoid model CGG2000 and includes 1926 GPS constraints on benchmarks whose ellipsoidal heights are in NAD83(CSRS) at epoch 1997.0.

Why are new HTv2.0 models needed for epochs 2002.0 and 2010.0?

Most Canadian provinces and territories have updated their adopted NAD83(CSRS) reference epoch from 1997.0 to either 2002.0 or 2010.0 for their coordinates: latitude, longitude, ellipsoidal height (h), and orthometric height (H). These new reference epochs — having either 5- or 13-year spans from the previous reference epoch of 1997.0 — can represent height differences ranging from just a few mm in some regions to tens of cm in other regions (see figure 3 for a map of the vertical velocities in Canada). Thus, the use of HTv2.0 with ellipsoidal heights at epoch 2010.0 may calculate CGVD28 heights that are significantly different from the published values in some regions. This is because the published heights in CGVD28 are static (epochless) while published NAD83(CSRS) ellipsoidal heights are dynamic (change as the terrain moves up or down).

Figure 3 NAD83(CSRS) v7.0 velocity grid
Figure 3 NAD83(CSRS) v7.0 velocity grid

Even though CGS formally replaced CGVD28 with CGVD2013 in November 2013 and the provincial geodetic agencies adopted this new height system, there is still a need to provide a Height Transformation at epochs 2002.0 and 2010.0 in order to assure a smooth transition towards CGVD2013 for our clients.

How can users access CGVD28 with ellipsoidal or CGVD2013 heights in epochs 2002.0 and 2010.0?

  • The CGS tool GPS-H now includes HTv2.0 models for each of the adopted NAD83(CSRS) epochs (1997.0, 2002.0, 2010.0). The filenames are as follows (where v70 represents the velocity grid used):
    • HT2_1997.byn (simply a rename of HT2_0.byn);
    • HT2_2002v70.byn;
    • HT2_2010v70.byn.
  • GPS-H also includes conversion grids for transforming between CGVD28 and CGVD2013 at each of the adopted CGVD2013 epochs. These filenames are as follows:
    • HT2_1997_CGG2013a.byn (simply a rename of HT2_0_CGG2013a.byn);
    • HT2_2002v70_CGG2013a.byn;
    • HT2_2010v70_CGG2013a.byn.
  • HTv2.0 versions (for epochs 1997.0, 2002.0, 2010.0) are available for download from the CGS Geoid Models page.
  • The desktop version of GPS-H now comes with the HTv2.0 hybrid geoid models for the adopted epochs as well as the CGVD28 to CGVD2013 conversion grids.
  • Users of CSRS-PPP who request CGVD28 heights will automatically have the NAD83(CSRS) v7 velocity grid applied to their ellipsoidal heights if they are not already in epoch 1997.0.

Use of Canadian Geodetic Survey products and data is subject to the Open Government Licence - Canada

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