Appendix B. Tables
When applying equation (3) and equation (4) to the 20 GPS stations, selected far from the western US margin, we obtain velocity of transversal and longitudinal displacement (Vr(λ), (Vr(Θ) and (Vs(λ), (Vs(Θ)) with their 1σ standard deviation, respectively for the first rotation with a first rotation pole located at (-64:30 ± 0:18)°N and (105:52 ± 1:15)°E and οr = (0:6588 ± 0:0039) ° Myr1 and a sub-rotation pole located at (50:78 ± 0:06)°N and (-77:78 ± 0:50)°E with οs = (0:7594 ± 0:0069) ° Myr-1
Table B.1. Applying equation (3) and equation (4) to the 20 GPS stations
| First Rotation | Sub-rotation | |||||
|---|---|---|---|---|---|---|
| GPS Station | Longitude (λ) | Latitude (Θ) | VλGPS ± 1σ | VΘGPS ± 1σ | VλGPS ± 1σ | VΘGPS ± 1σ |
| °E | °N | (mm yr-1) | (mm yr-1) | (mm yr-1) | (mm yr-1) | |
| ALGO | -78.07 | 45.96 | -23.10 ± 0.23 | 1.99 ± 0.64 | 7.71 ± 0.09 | -0.28 ± 0.41 |
| AMC2 | -104.52 | 38.80 | -34.21 ± 0.31 | 15.91 ± 0.57 | 21.09 ± 0.16 | -24.02 ± 0.38 |
| AOLM | -80.16 | 25.73 | -45.74 ± 0.27 | 3.15 ± 0.64 | 35.75 ± 0.09 | -2.22 ± 0.41 |
| BARH | -68.22 | 44.39 | -25.07 ± 0.24 | -3.46 ± 0.63 | 9.91 ± 0.11 | 8.86 ± 0.41 |
| BRMU | -64.69 | 32.37 | -38.99 ± 0.27 | -5.40 ± 0.63 | 27.40 ± 0.11 | 12.08 ± 0.40 |
| CHUR | -94.08 | 58.75 | -8.65 ± 0.29 | 10.66 ± 0.61 | -9.88 ± 0.15 | -14.99 ± 0.40 |
| DUBO | -95.86 | 50.25 | -19.46 ± 0.29 | 11.58 ± 0.60 | 2.80 ± 0.14 | -16.57 ± 0.40 |
| EPRT | -66.99 | 44.90 | -24.51 ± 0.25 | -4.14 ± 0.63 | 9.30 ± 0.11 | 9.98 ± 0.40 |
| FLIN | -101.97 | 54.72 | -15.11 ± 0.31 | 14.67 ± 0.58 | -1.98 ± 0.18 | -21.88 ± 0.38 |
| HNPT | -76.13 | 38.58 | -31.79 ± 0.25 | 0.92 ± 0.64 | 17.84 ± 0.09 | 1.53 ± 0.41 |
| NLIB | -91.57 | 41.77 | -29,00 ± 0.27 | 9.34 ± 0.61 | 14.24 ± 0.12 | -12.73 ± 0.40 |
| NRC1 | -75.62 | 45.45 | -23.67 ± 0.24 | 0.63 ± 0.64 | 7.86 ± 0.09 | 2.00 ± 0.41 |
| NRC2 | -75.62 | 45.45 | -23.67 ± 0.24 | 0.63 ± 0.64 | 7.86 ± 0.09 | 2.00 ± 0.41 |
| PRDS | -114.29 | 50.87 | -22.73 ± 0.38 | 20.34 ± 0.52 | 7.99 ± 0.23 | -31.76 ± 0.35 |
| SCH2 | -66.83 | 54.83 | -12.28 ± 0.24 | -4.23 ± 0.63 | -5.17 ± 0.12 | 10.13 ± 0.40 |
| SOL1 | -76.45 | 38.31 | -32.10 ± 0.25 | 1.09 ± 0.64 | 18.21 ± 0.09 | 1.23 ± 0.41 |
| STJO | -52.67 | 47.59 | -22.73 ± 0.29 | -11.80 ± 0.60 | 8.41 ± 0.17 | 22.63 ± 0.38 |
| USNA | -76.47 | 38.98 | -31.34 ± 0.25 | 1.11 ± 0.64 | 17.26 ± 0.09 | 1.20 ± 0.41 |
| USNO | -77.06 | 38.91 | -31.42 ± 0.25 | 1.43 ± 0.64 | 17.35 ± 0.09 | 0.66 ± 0.41 |
| YELL | -114.48 | 62.48 | -8.92 ± 0.41 | 20.42 ± 0.51 | -7.73 ± 0.26 | -31.90 ± 0.35 |
Comparison between GPS data [Heflin et al., 2004] and model results indicates good agreement. GPS and model longitudinal and transversal velocity components (...) are reported with their 1σ standard deviation. Results were calculated studying stable NA plate regions and choosing GPS stations far from western U.S. diffused plate margin. Equations were applied with a sub-rotation pole located at (50:78 ± 0:06)°N and (-77:78 ± 0:50)°E and with a sub-rotation angular velocity οs = (0:7594 ± 0:0069) ° Myr-1 and a first angular velocity οr = (0:6588 ± 0:0039) ° Myr-1 applied on the first rotation pole located at (-64:30 ± 0:18)°N and (105:52 ± 1:15)°.
Table B.2. Comparison between GPS data
| GPS Data | Composed Movement | |||||
|---|---|---|---|---|---|---|
| GPS Station | Longitude (λ) | Latitude (Θ) | VλGPS ± 1σ | VΘGPS ± 1σ | VλGPS ± 1σ | VΘGPS ± 1σ |
| °E | °N | (mm yr-1) | (mm yr-1) | (mm yr-1) | (mm yr-1) | |
| ALGO | -78.07 | 45.96 | -16.82 ± 0.07 | 1.17 ± 0.04 | -16.00 ± 0.34 | 1.71 ± 0.65 |
| AMC2 | -104.52 | 38.80 | -16.25 ± 0.15 | -7.84 ± 0.23 | -13.12 ± 0.47 | -8.11 ± 0.69 |
| AOLM | -80.16 | 25.73 | -9.99 ± 0.08 | 2.29 ± 0.16 | -9.99 ± 0.36 | 0.92 ± 0.68 |
| BARH | -68.22 | 44.39 | -15.56 ± 0.17 | 6.11 ± 0.27 | -15.17 ± 0.35 | 5.39 ± 0.65 |
| BRMU | -64.69 | 32.37 | -11.89 ± 0.02 | 7.77 ± 0.04 | -11.60 ± 0.37 | 6.68 ± 0.67 |
| CHUR | -94.08 | 58.75 | -18.79 ± 0.06 | -4.59 ± 0.10 | -18.53 ± 0.43 | -4.33 ± 0.69 |
| DUBO | -95.86 | 50.25 | -18.91 ± 0.33 | -6.22 ± 0.20 | -16.66 ± 0.43 | -4.99 ± 0.69 |
| EPRT | -66.99 | 44.90 | -16.22 ± 0.17 | 6.61 ± 0.27 | -15.21 ± 0.36 | 5.86 ± 0.65 |
| FLIN | -101.97 | 54.72 | -18.91 ± 0.16 | -7.41 ± 0.10 | -17.10 ± 0.51 | -7.21 ± 0.71 |
| HNPT | -76.13 | 38.58 | -17.25 ± 0.32 | 4.64 ± 0.22 | -13.96 ± 0.34 | 2.45 ± 0.66 |
| NLIB | -91.57 | 41.77 | -14.41 ± 0.03 | -2.96 ± 0.04 | -14.76 ± 0.40 | -3.39 ± 0.67 |
| NRC1 | -75.62 | 45.45 | -15.97 ± 0.07 | 2.96 ± 0.10 | -15.80 ± 0.34 | 2.64 ± 0.65 |
| NRC2 | -75.62 | 45.45 | -17.27 ± 0.19 | 2.81 ± 0.28 | -15.80 ± 0.34 | 2.64 ± 0.65 |
| PRDS | -114.29 | 50.87 | -14.98 ± 0.08 | -11.34 ± 0.12 | -14.73 ± 0.61 | -11.41 ± 0.74 |
| SCH2 | -66.83 | 54.83 | -17.70 ± 0.09 | 7.95 ± 0.12 | -17.45 ± 0.36 | 5.90 ± 0.65 |
| SOL1 | -76.45 | 38.31 | -14.86 ± 0.04 | 2.72 ± 0.08 | -13.88 ± 0.34 | 2.33 ± 0.66 |
| STJO | -52.67 | 47.59 | -14.91 ± 0.10 | 11.88 ± 0.08 | -14.32 ± 0.46 | 10.84 ± 0.67 |
| USNA | -76.47 | 38.98 | -14.18 ± 0.04 | 0.63 ± 0.08 | -14.07 ± 0.34 | 2.36 ± 0.66 |
| USNO | -77.06 | 38.91 | -14.40 ± 0.06 | 3.00 ± 0.10 | -14.07 ± 0.34 | 2.09 ± 0.66 |
| YELL | -114.48 | 62.48 | -17.82 ± 0.11 | -11.80 ± 0.08 | -16.65 ± 0.67 | -11.48 ± 0.76 |