Acta Prataculturae Sinica ›› 2023, Vol. 32 ›› Issue (12): 68-76.DOI: 10.11686/cyxb2023067
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Jin-rui WU1,2(), Meng-zhen LI1,2, Yong YANG3,4, Ai-jun LIU3,4, Pu-chang WANG5, Hasibagen1,4, Shi-jie LYU6, Xiang-jun YUN1,4()
Received:
2023-03-06
Revised:
2023-05-17
Online:
2023-12-20
Published:
2023-10-18
Contact:
Xiang-jun YUN
Jin-rui WU, Meng-zhen LI, Yong YANG, Ai-jun LIU, Pu-chang WANG, Hasibagen, Shi-jie LYU, Xiang-jun YUN. Spatial distribution of the Leymus chinensis population under different grazing intensities in a typical steppe area[J]. Acta Prataculturae Sinica, 2023, 32(12): 68-76.
放牧强度 Grazing intensity | 计盒维数Box counting dimension (D0) | 信息维数Information dimension (D1) | 关联维数Correlation dimension (D2) | 多重分形度Multifractal degree (D1/D0) |
---|---|---|---|---|
CK | 1.0000 | 0.9957 | 0.9914 | 0.9957 |
LG | 1.0000 | 0.9957 | 0.9913 | 0.9957 |
MG | 1.0000 | 0.9826 | 0.9652 | 0.9826 |
HG | 1.0000 | 0.9848 | 0.9696 | 0.9848 |
Table 1 Fractal dimension of L. chinensis under different grazing intensities
放牧强度 Grazing intensity | 计盒维数Box counting dimension (D0) | 信息维数Information dimension (D1) | 关联维数Correlation dimension (D2) | 多重分形度Multifractal degree (D1/D0) |
---|---|---|---|---|
CK | 1.0000 | 0.9957 | 0.9914 | 0.9957 |
LG | 1.0000 | 0.9957 | 0.9913 | 0.9957 |
MG | 1.0000 | 0.9826 | 0.9652 | 0.9826 |
HG | 1.0000 | 0.9848 | 0.9696 | 0.9848 |
放牧强度 Grazing intensity | 奇异谱及函数值Singular spectrum and function value [α-f(α)] | 最大值 Maximum (αmax) | 最小值 Minimum (αmin) | 差值 Difference value (Δf) |
---|---|---|---|---|
CK | α(q) | 1.1833 | 0.9547 | 0.2286 |
f[α(q)] | 0.1479 | 0.8128 | 0.6649 | |
LG | α(q) | 1.1036 | 0.9549 | 0.1487 |
f[α(q)] | 0.5615 | 0.8178 | 0.2562 | |
MG | α(q) | 1.2474 | 0.8803 | 0.3671 |
f[α(q)] | 0.3132 | 0.6137 | 0.3005 | |
HG | α(q) | 1.3607 | 0.8872 | 0.4735 |
f[α(q)] | 0.0358 | 0.6110 | 0.5752 |
Table 2 Multiple singular spectrum parameters of L. chinensis density under different grazing intensities
放牧强度 Grazing intensity | 奇异谱及函数值Singular spectrum and function value [α-f(α)] | 最大值 Maximum (αmax) | 最小值 Minimum (αmin) | 差值 Difference value (Δf) |
---|---|---|---|---|
CK | α(q) | 1.1833 | 0.9547 | 0.2286 |
f[α(q)] | 0.1479 | 0.8128 | 0.6649 | |
LG | α(q) | 1.1036 | 0.9549 | 0.1487 |
f[α(q)] | 0.5615 | 0.8178 | 0.2562 | |
MG | α(q) | 1.2474 | 0.8803 | 0.3671 |
f[α(q)] | 0.3132 | 0.6137 | 0.3005 | |
HG | α(q) | 1.3607 | 0.8872 | 0.4735 |
f[α(q)] | 0.0358 | 0.6110 | 0.5752 |
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