Table 2 Pearson correlation coefficients among fractal dimensions and soil physical properties¹.

Indicator	Soil layer	D	D₀	D₁	D₂	D₁/D₀	T_P	C_P	SMC	CMC
D	Topsoil	1	0.91*	−0.82*	0.92**	−0.91**	0.91**	0.82*	0.93*	0.96**
D	Sub-topsoil	1	0.91**	−0.93**	0.65	−0.93**	0.84*	0.91*	0.92**	0.82*
D₀	Topsoil	0.91**	1	−0.90**	0.84*	−0.91**	0.72*	0.72*	0.75**	0.90**
D₀	Sub-topsoil	0.91**	1	−0.92**	0.82*	−0.93**	0.80*	0.81*	0.90**	0.91**
D₁	Topsoil	−0.82*	−0.90**	1	−0.92**	0.94**	-0.75*	−0.72*	−0.73*	−0.84*
D₁	Sub-topsoil	−0.93**	−0.92**	1	−0.63	0.92**	-0.81*	−0.91**	−0.83*	−0.91**
D₂	Topsoil	0.92**	0.84*	−0.92**	1	−0.93**	0.83*	0.73*	0.81*	0.94**
D₂	Sub-topsoil	0.65	0.82*	−0.63	1	−0.71	0.43	0.41	0.72	0.65
D₁/D₀	Topsoil	−0.91**	−0.91**	0.94**	−0.93**	1	−0.90**	−0.81*	−0.95**	−0.92**
D₁/D₀	Sub-topsoil	−0.93**	−0.93**	0.92**	−0.71	1	−0.84*	−0.83*	−0.86*	−0.91**
T_P	Topsoil	0.91**	0.72*	−0.75*	0.83*	−0.90**	1	0.92**	0.93**	0.93**
T_P	Sub-topsoil	0.84*	0.80*	−0.81*	0.43	−0.84*	1	0.91**	0.81*	0.90**
C_P	Topsoil	0.82*	0.72*	−0.72*	0.73*	−0.81*	0.92**	1	0.91**	0.82*
C_P	Sub-topsoil	0.91*	0.81*	−0.91**	0.41	−0.83*	0.91**	1	0.91**	0.93**
SMC	Topsoil	0.93*	0.75*	−0.73*	0.81*	−0.95*	0.93**	0.91**	1	0.93**
SMC	Sub-topsoil	0.92**	0.90**	−0.83*	0.72	−0.86*	0.81*	0.91**	1	0.91**
CMC	Topsoil	0.96**	0.90*	−0.84*	0.94**	−0.92**	0.93**	0.82*	0.93**	1
CMC	Sub-topsoil	0.82*	0.91*	−0.91*	0.65	−0.91**	0.90**	0.93**	0.91*	1

¹D presents the singular fractal dimension, topsoil is 0–20 cm depth of soil, sub-top soil is 20–40 cm depth of soil, D₀ presents the capacity dimension, D₁ presents information dimension, D₂ presents correlation dimension, T_P presents total porosity, C_P presents capillary porosity, SMC presents saturation moisture capacity, CMC presents saturation moisture capacity. Same below.

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