林业科学 ›› 2019, Vol. 55 ›› Issue (11): 126-136.doi: 10.11707/j.1001-7488.20191114
杨桂娟1,胡海帆2,孙洪刚2,*,张建国1,段爱国1
收稿日期:
2019-03-25
出版日期:
2019-11-25
发布日期:
2019-12-21
通讯作者:
孙洪刚
基金资助:
Guijuan Yang1,Haifan Hu2,Honggang Sun2,*,Jianguo Zhang1,Aiguo Duan1
Received:
2019-03-25
Online:
2019-11-25
Published:
2019-12-21
Contact:
Honggang Sun
Supported by:
摘要:
目的: 研究林分生长过程中个体大小分化规律以及个体分化对林分生产力的影响,为通过培育措施调整改变林分内个体大小分化进而提高林分生产力提供理论依据。方法: 基于5种造林密度(2.0 m×3.0 m、2.0 m×1.5 m、2.0 m×1.0 m、1.0 m×1.5 m和1.0 m×1.0 m)的26年生杉木密度试验林定位观测数据,采用广义线性混合模型研究林分年龄、造林密度和林分自然稀疏对林分个体大小分化的影响以及个体分化与林分生产力的数量关系。结果: Gini系数(个体大小分化)随林分年龄和造林密度增加而增大,林分发生自然稀疏时Gini系数降低,但在林分自然稀疏进程中林分内个体大小分化程度再次增大。造林密度越大,林分生产力越高;林分发生自然稀疏时林分生产力下降,但自然稀疏后生产力增加速度大于自然稀疏前;林分生产力与个体大小分化呈负相关。结论: 随林分年龄和造林密度增加,个体间分化程度增大,林分生产力增加;发生林分自然稀疏时,个体间分化程度降低,林分生产力下降;在随后的林分生长进程中,个体间分化程度不断增大,林分生产力也继续提高。林分自然稀疏可改变林分种内竞争强度,进而改变个体分化和生产力之间关系的轨迹。
中图分类号:
杨桂娟,胡海帆,孙洪刚,张建国,段爱国. 林分年龄、造林密度和林分自然稀疏对杉木人工林个体大小分化和生产力关系的影响[J]. 林业科学, 2019, 55(11): 126-136.
Guijuan Yang,Haifan Hu,Honggang Sun,Jianguo Zhang,Aiguo Duan. The Influences of Stand Age, Planting Density and Self-Thinning on Relationship between Size Inequality and Periodic Annual Increment in Chinese Fir (Cunninghamia lanceolata)Plantations[J]. Scientia Silvae Sinicae, 2019, 55(11): 126-136.
表1
样地基本情况统计①"
样地编号 Plot No. | 造林密度 Planting density/(tree·hm-2) | 2006年活立木株数Survival trees in 2006/(tree·hm-2) | 林分平均胸径 Mean DBH/cm | 胸径范围 DBHmin~DBHmax/cm |
A1 | 1 667 | 1 364 | 19.07(±2.95) | 3.80~23.70 |
A2 | 1 667 | 1 484 | 17.41(±2.06) | 10.20~24.10 |
A3 | 1 667 | 1 439 | 19.28(±2.14) | 9.70~31.50 |
B1 | 3 333 | 2 653 | 15.31(±2.58) | 7.90~25.70 |
B2 | 3 333 | 2 938 | 10.65(±2.42) | 6.49~13.80 |
B3 | 3 333 | 1 754 | 12.29(±2.71) | 7.58~16.23 |
C1 | 5 000 | 3 868 | 12.82(±2.54) | 3.80~23.74 |
C2 | 5 000 | 3 598 | 9.57(±2.44) | 5.51~13.16 |
C3 | 5 000 | 2 743 | 10.21(±2.74) | 6.04~14.04 |
D1 | 6 667 | 4 647 | 8.76(±2.02) | 5.53~11.90 |
D2 | 6 667 | 4 212 | 8.85(±2.67) | 4.95~13.14 |
D3 | 6 667 | 2 983 | 9.13(±2.62) | 5.33~13.26 |
E1 | 10 000 | 4 152 | 8.39(±2.01) | 5.55~11.70 |
E2 | 10 000 | 3 328 | 8.42(±2.50) | 4.80~13.08 |
E3 | 10 000 | 1 484 | 8.75(±2.71) | 5.10~13.11 |
表2
广义线性混合效应模型估计林分年龄效应、密度效应和自然稀疏效应下的Gini参数①"
固定效应项 Fixed components | 模型Models | ||
Gini(Age) | Gini(Den) | Gini(Mort) | |
截距项Intercept | 0.370 4(< 0.000 1) | 0.293 6(< 0.000 1) | 0.355 9(< 0.000 1) |
A | 0.251 4(0.002 84) | NA | 0.127 5(< 0.000 1) |
Mort | -0.079 2(0.001 68) | -0.016 8(0.003 66) | -0.183 2(0.000 73) |
Den2.0 m×1.5 m | 0.063 3(0.000 50) | 0.193 7(0.004 74) | NA |
Den2.0 m×1.0 m | 0.071 6(< 0.000 1) | 0.256 4(0.002 65) | NA |
Den1.0 m×1.5 m | 0.086 3(< 0.000 1) | 0.390 8(0.001 63) | NA |
Den1.0 m×1.0 m | 0.094 5(< 0.000 1) | 0.446 3(0.003 20) | NA |
A ×Mort | 0.015 5(0.004 62) | NA | 0.058 3(0.001 82) |
A × Den2.0 m×1.5 m | 0.033 2(0.004 39) | NA | NA |
A × Den2.0 m×1.0 m | 0.039 4(0.003 23) | NA | NA |
A × Den1.0 m×1.5 m | 0.041 7(0.001 85) | NA | NA |
A × Den1.0 m×1.0 m | 0.048 6(0.004 73) | NA | NA |
Mort × Den2.0 m×1.5 m | 0.024 6(0.004 72) | -0.064 4(< 0.000 1) | NA |
Mort × Den2.0 m×1.0 m | 0.037 9(0.003 20) | -0.057 0(< 0.000 1) | NA |
Mort × Den1.0 m×1.5 m | 0.039 5(0.002 56) | -0.038 2(< 0.000 1) | NA |
Mort × Den1.0 m×1.0 m | 0.042 8(0.003 41) | -0.031 9(< 0.000 1) | NA |
R2 | 0.986 | 0.972 | 0.953 |
RMSE | 0.141 | 0.161 | 0.117 |
r | 0.872 | 0.853 | 0.944 |
表3
林分生产力的广义线性混合效应模型参数估计值"
固定效应项 Fixed components | 模型Models | ||
PAI(Age) | PAI(Den) | PAI(Mort) | |
截距项Intercept | 7.247 2(0.004 9) | 3.845 5(< 0.000 1) | 2.682 1(0.041 6) |
A | 0.782 4(0.018 7) | NA | 0.591 2(0.002 3) |
A2 | -0.026 9(0.036 2) | NA | -1.548 0(1.244 5) |
Gini | -1.834 0(0.000 4) | -2.908 5(0.023 7) | -0.691 5(0.048 1) |
Mort | NA | 5.240 7(0.026 1) | 3.028 4 (0.029 3) |
Den2.0 m×1.5 m | 1.832 3(0.002 3) | 1.258 6(0.000 5) | NA |
Den2.0 m×1.0 m | 2.377 5(0.023 7) | 3.642 5(0.008 7) | NA |
Den1.0 m×1.5 m | 4.860 3(0.034 4) | 4.981 2(0.004 4) | NA |
Den1.0 m×1.0 m | 5.494 2(0.002 7) | 5.739 4(0.025 9) | NA |
A×Gini | NA | NA | -4.961 7(0.006 1) |
A× Mort | -0.234 9(0.016 3) | NA | -0.741 6(< 0.000 1) |
A× Den2.0 m×1.5 m | NA | NA | 1.684 2(0.561 8) |
A× Den2.0 m×1.0 m | NA | NA | 2.183 3(0.337 1) |
A× Den1.0 m×1.5 m | NA | NA | 2.835 4(1.546 2) |
A× Den1.0 m×1.0 m | NA | NA | 3.665 9(1.721 8) |
A2× Gini | -0.025 1(0.384 5) | NA | NA |
A2× Mort | NA | NA | 0.384 6(< 0.000 1) |
Gini× Mort | NA | -2.452 8(0.010 9) | -0.174 3(0.167 1) |
Mort× Den2.0 m×1.5 m | NA | 2.617 3(0.002 2) | NA |
Mort× Den2.0 m×1.0 m | NA | 5.781 8(0.039 1) | NA |
Mort× Den1.0 m×1.5 m | NA | 8.653 9(0.037 4) | NA |
Mort× Den1.0 m×1.0 m | NA | 11.274 4(0.002 5) | NA |
Gini × Den2.0 m×1.5 m | NA | -3.738 2(0.043 8) | -0.378 1(0.008 1) |
Gini × Den2.0 m×1.0 m | NA | -5.698 0(0.003 1) | -1.559 7(0.001 6) |
Gini × Den1.0 m×1.5 m | NA | -9.403 8(0.042 6) | -2.670 4(0.002 5) |
Gini × Den1.0 m×1.0 m | NA | -12.817 3(0.020 7) | -3.418 3(0.005 9) |
R2 | 0.938 1 | 0.891 7 | 0.912 5 |
RMSE | 0.164 3 | 0.276 1 | 0.175 0 |
r | 0.891 7 | 0.858 6 | 0.914 3 |
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