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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