Table 2.

Parameter estimates (medians and 95% posterior credible intervals) for the exponential correlation model under different metrics

Parameter	Geodetic	Naive Euclidean	Chordal
Intercept	1.031 (0.501, 1.518)	1.020 (0.321, 1.607)	1.141 (0.750, 1.488)
Elevation	−0.417 (−0.530, −0.300)	−0.428 (−0.528, −0.331)	−0.419 (−0.512, −0.315)
${\sigma }^2$	0.098 (0.031, 0.231)	0.110 (0.033, 0.341)	0.128 (0.035, 0.483)
$\psi$	1.09 × 10−2 (0.69 × 10−2, 7.63 × 10−2)	0.71 × 10−2 (0.27 × 10−2, 5.42 × 10−2)	1.12 × 10−2 (0.74 × 10−2, 8.50 × 10−2)
Range	275.2 (39.3, 434.8)	422.5 (55.4, 1109.2)	267.8 (35.3, 405.4)
${\tau }^2$	0.011 (0.003, 0.017)	0.011 (0.004, 0.024)	0.008 (0.003, 0.024)
Parameter	Mercator	Sinusoidal	Centroid-based
Intercept	1.015 (0.307, 1.551)	1.035 (0.399, 1.569)	1.103 (0.601, 1.643)
Elevation	−0.430 (−0.532, −0.327)	−0.432 (−0.533, −0.329)	−0.426 (−0.521, −0.321)
${\sigma }^2$	0.109 (0.031, 0.351)	0.105 (0.030, 0.348)	0.093 (0.033, 0.622)
$\psi$	0.66 × 10−2 (0.19 × 10−2, 5.24 × 10−2)	1.12 × 10−2 (0.71 × 10−2, 8.49 × 10−2)	1.15 × 10−2 (0.71 × 10−2, 7.80 × 10−2)
Range	454.5 (57.25, 1578.9)	267.9 (35.3, 422.5)	260.9 (38.5, 422.5)
${\tau }^2$	0.011 (0.003, 0.025)	0.011 (0.004, 0.023)	0.010 (0.003, 0.018)