Table 4.

Optimal fitted equations of factors influencing rock exposures at different sampling scales.

Sampling Scale	Index	The Optimal Fitted Equation for Rock Exposures	R2
150 m × 150 m	Slope	y = 0.0112x + 12.539	0.263
	Elevation	y = 0.166x + 1288.201	0.287
	Soil thickness	y = 0.0212x + 11.592	0.272
	Soil bulk density	y = −0.0255Ln(x) + 1.1502	0.011
	Slope position	y = 0.1x2 + 0.031x + 9.358	0.382
	Rock content	y = 1.3256Ln(x) − 1.4693	0.369
300 m × 300 m	Slope	y = 0.0194x + 22.384	0.343
	Altitude	y = 0.0194x + 1425.084	0.298
	Soil thickness	y = 0.0194x + 15.084	0.349
	Soil bulk density	y = 1.2081Ln(x) + 11.31	0.017
	Slope position	y = 0.2x2 + 0.0048x + 5.695	0.439
	Rock content	y = 1.2682Ln(x) − 12.225	0.428
450 m × 450 m	Slope	y = 0.0231x + 10.148	0.391
	Altitude	y = −2.3608x + 1314.8	0.317
	Soil thickness	y = −0.0216x + 17.978	0.361
	Soil bulk density	y = 1.3498Ln(x) + 12.466	0.018
	Slope position	y = 0.2x2 − 0.1014x + 0.2054	0.463
	Rock content	y = −3.2414Ln(x) + 21.321	0.474
600 m × 600 m	Slope	y = 0.0182x + 24.713	0.412
	Altitude	y = 0.131x + 1001.571	0.331
	Soil thickness	y = 43.525 − 0.950x + 0.105x2	0.372
	Soil bulk density	y = 1.2014Ln(x) + 13.823	0.020
	Slope position	y = 0.0003x2 + 0.0681x + 15.567	0.514
	Rock content	y = 1.0924Ln(x) + 21.854	0.548
750 m × 750 m	Slope	y = 0.1313x + 23.153	0.497
	Altitude	y = 0.101x + 1033.201	0.395
	Soil thickness	y = −0.1625x + 65.293	0.619
	Soil bulk density	y = 3.1781Ln(x) + 15.597	0.022
	Slope position	y = 0.002x2 − 0.0855x + 16.946	0.587
	Rock content	y = 0.1313x + 22.053	0.649
900 m × 900 m	Slope	y = 0.2669x − 0.0397	0.516
	Altitude	y = 0.136x + 1083.201	0.491
	Soil thickness	y = 0.1325x + 24.78	0.673
	Soil bulk density	y = 0.9136Ln(x) + 21.2	0.029
	Slope position	y = 0.0023x2 − 0.1766x + 17.997	0.645
	Rock content	y = 0.8333Ln(x) + 21.429	0.703