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Table 1 Relevant indicators of curve-fitted semi-variograms at different scales in different stocking rate treatments

From: Heavy grazing reduced the spatial heterogeneity of Artemisia frigida in desert steppe

Quantitative characteristics

Scale

Stocking rate

Model parameter

Semi-variogram

Patch parameters

Model

RSS

C0

C0 + C

C/(C0 + C)(%)

A0

Auto-corr. Ranges(m)

D0

Density

2.5 m × 2.5 m(a)

CK

Exponential

6.168 × 10–3

0.077

0.587

86.882

5.575

16.725

1.847

 

LG

Exponential

3.700 × 10–3

0.101

0.792

87.247

8.525

25.569

1.783

 

MG

Spherical

5.597 × 10–5

0.007

0.127

94.488

4.300

4.300

1.966

 

HG

Exponential

1.355 × 10–5

0.003

0.028

89.286

1.700

5.100

1.961

5 m × 5 m(b)

CK

Gaussian

7.012 × 10–5

0.176

1.057

83.349

11.300

19.572

1.603

 

LG

Spherical

7.504 × 10–4

0.057

1.759

96.760

41.900

41.900

1.574

 

MG

Spherical

6.638 × 10–3

0.047

0.387

87.855

12.050

12.050

1.898

 

HG

Gaussian

4.987 × 10–4

0.000

0.103

99.903

7.350

12.730

1.713

Height

2.5 m × 2.5 m(c)

CK

Exponential

4.177 × 10–4

0.001

0.188

99.468

4.375

13.125

1.844

 

LG

Gaussian

6.064 × 10–3

0.002

0.302

99.338

4.000

6.928

1.829

 

MG

Spherical

5.685 × 10–3

0.014

0.142

90.141

11.975

11.975

1.800

 

HG

Gaussian

6.324 × 10–4

0.001

0.044

97.727

3.800

6.582

1.968

5 m × 5 m(d)

CK

Spherical

1.849 × 10–5

0.011

0.094

88.298

11.300

11.300

1.892

 

LG

Gaussian

3.045 × 10–4

0.001

0.166

99.398

5.300

9.180

1.819

 

MG

Gaussian

4.267 × 10–4

0.001

0.068

98.529

6.450

11.171

1.648

 

HG

Gaussian

1.339 × 10–4

0.000

0.027

99.630

8.550

14.809

1.967