Table 2. Spearman correlation analysis of physical trail characteristic, soil erosion and soil hardness.

	TW	BW	TG	T	DT	CSA	MaED	MED	CED	MTK	MSK	L1SK	R1SK	MaSK	MTSM	MSM	L1SM	R1SM	MaSM
Deterioration class(DC)	.081	099	.583**	.177	.027	.267**	−.035	.138	.109	.298	.359*	.012	.034	.293	.326	.295	.012	.034	.293
Trail width(TW)	1.000	.934**	.153	.096	.445	.445	.064	−.013	.000	.024	.069	−.141	−.264	−.074	.096	.059	−.141	−.264	−.074
Bare width(BR)		1.000	.198	.076	.390	.390	.031	.050	.052	−.012	.049	−.187	−.290	−.101	.059	.089	−.187	−.290	−.101
Trail grade(%, TG)			1.000	.278	−.032	.321*	.030	.043	.088	−.095	.045	−.392	−.255	−.178	−.049	.200	−.392	−.255	−.178
Topography(T)				1.000	−.224	−.312*	−.294	−.471**	−.404**	.143	.273	−.091	.039	.169	.117	.416*	−.091	.039	.169
Deterioration types(DT)					1.000	−.159	.019	.026	−.006	−.205	−.082	.021	−.492	−.206	−.123	−.041	.021	−.492	−.206
Cross Section Area(CSA)						1.000	.549**	.797**	.749**	−.263	−.214	−.521**	−.233	−.390*	−.220	.110	−.521**	−.233	−.390*
Maximum erosion depth(MaED)							1.000	.783**	.688**	−.018	−.023	−.158	−.216	−.031	−.025	.022	−.158	−.216	−.031
Mean erosion depth(MED)								1.000	.939**	−.218	−.176	−.385*	−.441*	- .187	−.240	.023	−.385*	−.441*	−.187
Central erosion depth(CED)									1.000	−.261	−.170	−.403*	−.358*	−.270	−.300	.068	−.403*	−.358*	−.270
Mean trail soil hardness(kg/cm2, MTSK)										1.000	.922**	.676**	.584**	.912**	.973**	.573**	.676**	.584**	.912**
Mean soil hardness(kg/cm2, MSK)											1.000	.508**	.464**	.799**	.910**	.793**	.508**	.464**	.799**
Left1 soil hardness(kg/cm2, L1SK)												1.000	.609**	.665**	.637**	.090	1.000**	.609**	.665**
Right1 soil hardness(kg/cm2 R1SK)													1.000	.492**	.602**	.170	.609**	1.000**	.492**
Maximum soil hardness(kg/cm2, MaSK)														1.000	.829**	.418*	.665**	.492**	1.000**
Mean trail soil hardness(mm, MTSM)															1.000	.586**	.637**	.602**	.829**
Mean soil hardness(mm, MSM)																1.000	.090	.170	.418*
Left1 soil hardness(mm, L1SM)																	1.000	.609**	.665**
Right1 soil hardness(mm, R1SM)																		1.000	.492**
Maximum soil hardness(mm, MaSM)																			1.000

P < .01 ** P < .001