Table 1. Difference in root location between unrotated and rotated cases for planar and spherical diffusion models.
Angle | Diffusion on plane | Diffusion on sphere | ||||||
---|---|---|---|---|---|---|---|---|
Δ latitude | Δ longitude | Δ latitude | Δ longitude | |||||
0 | 0.00 | (−2.19, 2.26) | 0.01 | (−1.94, 1.86) | −0.03 | (−2.11, 1.82) | 0.01 | (−1.83, 1.99) |
10 | 0.02 | (−2.22, 2.22) | 0.00 | (−1.87, 1.89) | −0.05 | (−2.84, 2.52) | 0.03 | (−2.95, 2.42) |
20 | 0.07 | (−2.21, 2.21) | 0.00 | (−1.91, 1.87) | −0.02 | (−2.20, 2.69) | 0.01 | (−2.45, 2.70) |
30 | 0.11 | (−2.04, 2.42) | 0.00 | (−1.86, 1.88) | −0.09 | (−2.42, 2.52) | 0.10 | (−2.42, 2.42) |
40 | 0.16 | (−2.16, 2.32) | −0.02 | (−1.97, 1.84) | −0.17 | (−2.81, 2.18) | −0.03 | (−2.43, 2.23) |
50 | 0.18 | (−2.06, 2.38) | 0.00 | (−1.86, 1.88) | −0.04 | (−2.45, 2.10) | −0.09 | (−2.07, 2.31) |
60 | 0.25 | (−2.01, 2.50) | 0.00 | (−1.84, 1.94) | −0.20 | (−2.51, 1.68) | 0.00 | (−2.11, 1.82) |
70 | 0.37 | (−1.92, 2.54) | 0.01 | (−1.91, 1.90) | −0.18 | (−2.01, 1.79) | −0.01 | (−1.72, 1.79) |
80 | 0.68 | (−1.56, 2.92) | −0.03 | (−1.99, 1.93) | −0.22 | (−2.03, 1.65) | 0.06 | (−1.35, 1.42) |
90 | 4.54 | (3.25, 5.02) | 0.02 | (−3.96, 3.56) | −0.01 | (−1.44, 1.36) | 0.00 | (−1.08, 1.01) |