Scientia Silvae Sinicae ›› 2022, Vol. 58 ›› Issue (5): 18-30.doi: 10.11707/j.1001-7488.20220503
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Lingbo Dong1,2,Xueying Lin1,Yifan Zhang3,Zhaogang Liu1,2,*
Received:
2021-05-16
Online:
2022-05-25
Published:
2022-08-19
Contact:
Zhaogang Liu
CLC Number:
Lingbo Dong,Xueying Lin,Yifan Zhang,Zhaogang Liu. Optimal Rotation of Larix olgensis Plantation in Considering Carbon Sequestration and Timber Production[J]. Scientia Silvae Sinicae, 2022, 58(5): 18-30.
Table 1
Basic characteristics of sample plots"
年龄 Age/a | 平均胸径 Mean DBH/cm | 平均树高 Mean tree height/m | 地位指数 Site class index/m | 单木蓄积 Volume/m3 | 大径材材积 Large-diameter volume/m3 | 中径材材积 Medium-diameter volume/m3 | 小径材材积 Small-diameter volume/m3 | 株数密度 Density/(tree·hm-2) |
17 | 9.66 | 10.98 | 17.11 | 146.14 | 0.00 | 0.00 | 52.51 | 3 022 |
18 | 11.94 | 11.17 | 16.60 | 189.38 | 0.00 | 0.00 | 91.03 | 2 622 |
19 | 12.70 | 13.31 | 18.92 | 248.75 | 0.00 | 0.00 | 141.25 | 2 583 |
20 | 13.77 | 14.63 | 19.95 | 214.03 | 0.00 | 0.00 | 124.48 | 1 744 |
21 | 14.67 | 15.38 | 20.17 | 241.08 | 0.00 | 0.00 | 146.75 | 1 666 |
22 | 15.46 | 15.42 | 19.49 | 225.17 | 0.00 | 0.00 | 137.66 | 1 411 |
24 | 17.42 | 15.68 | 18.52 | 277.55 | 0.00 | 57.88 | 124.24 | 1 377 |
26 | 18.97 | 16.97 | 18.86 | 328.16 | 0.00 | 120.81 | 103.26 | 1 288 |
27 | 19.98 | 16.96 | 18.32 | 347.79 | 0.00 | 128.50 | 109.83 | 1 244 |
28 | 20.27 | 18.81 | 19.78 | 395.94 | 0.00 | 197.46 | 83.90 | 1 244 |
28 | 20.26 | 18.19 | 19.13 | 365.42 | 0.00 | 181.07 | 76.94 | 1 188 |
29 | 20.72 | 18.85 | 19.32 | 413.02 | 0.00 | 206.39 | 87.70 | 1 244 |
29 | 20.76 | 18.20 | 18.65 | 389.11 | 0.00 | 193.16 | 82.08 | 1 211 |
30 | 20.83 | 19.55 | 19.55 | 428.63 | 0.00 | 215.76 | 91.68 | 1 233 |
30 | 20.83 | 19.07 | 19.07 | 418.09 | 0.00 | 209.46 | 89.00 | 1 233 |
31 | 21.35 | 19.67 | 19.21 | 455.23 | 0.00 | 229.84 | 97.66 | 1 244 |
31 | 21.29 | 19.37 | 18.92 | 445.80 | 0.00 | 224.37 | 95.34 | 1 244 |
32 | 22.51 | 20.56 | 19.64 | 528.27 | 0.00 | 292.25 | 97.91 | 1 255 |
32 | 21.94 | 21.12 | 20.17 | 513.54 | 0.00 | 263.33 | 111.89 | 1 244 |
33 | 22.94 | 21.51 | 20.11 | 658.52 | 0.00 | 374.24 | 125.38 | 1 322 |
33 | 23.44 | 20.01 | 18.70 | 543.51 | 0.00 | 300.02 | 100.51 | 1 233 |
34 | 23.77 | 20.36 | 18.64 | 572.46 | 0.00 | 317.37 | 106.33 | 1 244 |
34 | 24.64 | 20.66 | 18.92 | 619.82 | 119.26 | 275.93 | 72.49 | 1 244 |
35 | 25.27 | 20.38 | 18.30 | 611.52 | 117.57 | 272.03 | 71.47 | 1 188 |
35 | 24.79 | 22.91 | 20.57 | 657.77 | 129.12 | 298.75 | 78.49 | 1 177 |
36 | 25.82 | 24.09 | 20.34 | 829.05 | 164.80 | 381.29 | 100.17 | 1 311 |
36 | 26.12 | 22.09 | 19.46 | 776.50 | 271.89 | 254.76 | 76.73 | 1 311 |
37 | 26.83 | 23.69 | 20.49 | 822.69 | 292.50 | 274.07 | 82.54 | 1 233 |
37 | 27.48 | 22.04 | 19.06 | 777.17 | 273.01 | 255.81 | 77.04 | 1 200 |
38 | 27.31 | 22.32 | 18.97 | 691.91 | 243.54 | 228.20 | 68.73 | 1 066 |
38 | 26.63 | 22.35 | 18.99 | 737.65 | 259.22 | 242.88 | 73.15 | 1 188 |
39 | 26.18 | 20.21 | 16.88 | 676.94 | 233.10 | 218.41 | 65.78 | 1 244 |
40 | 26.52 | 20.54 | 16.88 | 546.96 | 189.09 | 177.18 | 53.36 | 966 |
43 | 23.72 | 21.32 | 16.74 | 517.59 | 0.00 | 281.22 | 94.22 | 1 255 |
50 | 29.24 | 26.08 | 18.73 | 886.76 | 206.26 | 206.26 | 67.28 | 1 033 |
Table 2
Classification of various economic punishments in rotation age"
折现程度 Discount level | 时间 Time | 种类 Kind | 单位价格 Price per unit/yuan | 数量 Quantity | 总价格 Total price/yuan |
不折现 Not discounted | 第一年First year | 整地用工Land preparation labor/(yuan·hm-2) | 125 | 20 | 2 500 |
第一年First year | 种植用工Planting labor/(yuan·hm-2) | 125 | 30 | 3 750 | |
第一年First year | 苗木Seedling/(yuan·seedling-1) | 0.25 | 3 333 | 833 | |
不完全折现 Incompletely discounted | 第2~4年Years 2-4 | 补植用工Replanting labor/(yuan·hm-2) | 125 | 4 | 500 |
第2~4年Years 2-4 | 补植苗木Replanting seedling/(yuan·seedling-1) | 0.25 | 100 | 25 | |
每年Every year | 管护成本Management cost/(yuan·hm-2) | 150 | 1 | 150 | |
每年Every year | 地租Land rent/(yuan·hm-2) | 300 | 1 | 300 | |
完全折现 Completely discounted | 最后一年The last year 最后一年The last year | 采运成本Harvest and transportation cost/(yuan·m-3) 机械成本Machinery cost/(yuan·hm-2) | 65 1 100 | V 1 | 65V 1 100 |
Table 3
Goodness-of-fit for carbon growth model"
不同器官模型 Model of different organs | 调整决定系数 Ra2 | 模型均方根误差 RMSE/(t·hm-2) | 平均绝对偏差 MAE/(t·hm-2) | 平均相对偏差绝对值 MRE(%) |
树干生长模型 Growth model of trunk | 0.891 | 0.133 | 0.083 | 2.99 |
树枝生长模型 Growth model of branch | 0.850 | 0.148 | 0.081 | 3.24 |
树根生长模型 Growth model of root | 0.781 | 1.471 | 0.688 | 8.97 |
树叶生长模型 Growth model of leaf | 0.932 | 0.035 | 0.024 | 0.71 |
Table 4
Land expected value of sample plots"
年龄 Age/a | 情景1 Scenario 1 | 情景2 Scenario 2 | 情景3 Scenario 3 | 情景4 Scenario 4 | ||||||
林地期望值 LEV/(yuan·hm-2) | 林地期望值 LEV/(yuan·hm-2) | 碳汇与木材收益 比值Rct(%) | 林地期望值 LEV/(yuan·hm-2) | 碳汇与木材收益 比值Rct(%) | 林地期望值 LEV/(yuan·hm-2) | 碳汇与木材收益 比值Rct(%) | ||||
17 | -1 376 | 1 206 | 3.12 | 875 | 2.69 | 798 | 2.45 | |||
18 | 11 227 | 14 314 | 3.34 | 13 867 | 2.78 | 13 744 | 2.52 | |||
19 | 25 585 | 28 571 | 3.19 | 28 033 | 2.72 | 27 858 | 2.46 | |||
20 | 16 968 | 19 654 | 4.74 | 19 166 | 3.79 | 19 024 | 3.47 | |||
21 | 20 588 | 22 873 | 10.80 | 22 413 | 9.41 | 22 258 | 9.09 | |||
22 | 15 259 | 19 382 | 2.87 | 18 540 | 2.41 | 18 406 | 2.15 | |||
24 | 25 652 | 29 288 | 4.08 | 28 781 | 3.51 | 28 628 | 3.25 | |||
26 | 32 708 | 34 973 | 9.84 | 34 595 | 7.83 | 34 430 | 7.51 | |||
27 | 32 430 | 36 668 | 7.63 | 36 162 | 7.12 | 35 998 | 6.89 | |||
28 | 41 020 | 43 340 | 4.99 | 42 956 | 4.55 | 42 775 | 4.32 | |||
28 | 35 913 | 38 381 | 3.76 | 37 983 | 3.13 | 37 818 | 2.86 | |||
29 | 39 719 | 41 979 | 3.36 | 41 602 | 2.96 | 41 425 | 2.72 | |||
29 | 35 873 | 38 680 | 3.36 | 38 315 | 2.80 | 38 150 | 2.54 | |||
30 | 38 546 | 41 929 | 3.49 | 41 547 | 3.01 | 41 374 | 2.75 | |||
30 | 36 816 | 40 485 | 4.68 | 40 054 | 4.11 | 39 886 | 3.85 | |||
31 | 38 512 | 41 442 | 5.83 | 41 109 | 5.27 | 40 936 | 5.04 | |||
31 | 37 114 | 40 384 | 3.97 | 40 024 | 3.52 | 39 855 | 3.29 | |||
32 | 46 521 | 48 914 | 4.07 | 48 557 | 3.69 | 48 364 | 3.46 | |||
32 | 42 977 | 45 024 | 3.89 | 44 696 | 3.27 | 44 509 | 3.01 | |||
33 | 60 153 | 63 839 | 5.49 | 63 320 | 4.50 | 63 087 | 4.18 | |||
33 | 44 167 | 46 695 | 4.43 | 46 346 | 3.92 | 46 160 | 3.66 | |||
34 | 43 849 | 47 215 | 7.08 | 46 805 | 6.23 | 46 620 | 5.96 | |||
34 | 56 608 | 59 687 | 6.08 | 59 338 | 4.97 | 59 133 | 4.65 | |||
35 | 51 047 | 53 708 | 5.11 | 53 394 | 4.53 | 53 203 | 4.27 | |||
35 | 58 081 | 62 760 | 5.61 | 62 386 | 5.10 | 62 177 | 4.87 | |||
36 | 73 902 | 77 168 | 8.11 | 76 719 | 6.94 | 76 468 | 6.62 | |||
36 | 71 910 | 75 469 | 5.06 | 75 101 | 4.50 | 74 867 | 4.24 | |||
37 | 73 166 | 77 263 | 9.35 | 76 798 | 8.84 | 76 561 | 8.59 | |||
37 | 66 930 | 70 849 | 4.61 | 70 481 | 4.23 | 70 260 | 4.00 | |||
38 | 53 047 | 57 767 | 3.60 | 57 314 | 3.20 | 57 127 | 2.96 | |||
38 | 57 777 | 62 611 | 4.43 | 62 174 | 3.86 | 61 976 | 3.60 | |||
39 | 45 919 | 49 293 | 6.88 | 49 013 | 5.92 | 48 844 | 5.63 | |||
40 | 30 367 | 33 157 | 5.71 | 32 912 | 5.03 | 32 783 | 4.77 | |||
43 | 13 256 | 16 774 | 5.38 | 16 582 | 4.95 | 16 485 | 4.71 | |||
50 | 10 916 | 13 688 | 3.49 | 13 501 | 3.13 | 13 417 | 2.90 |
Table 5
Fitting results under different scenarios"
情景 Scenario | 林地期望值模型 LEV model | 调整系数 Ra2 | 最优轮伐期 Optimal rotation age/a | 林地期望值 LEV/(yuan·hm-2) | 碳汇与木材收益 比值Rct(%) |
情景1 Scenario 1 | LEVa=-14.649 1+1.127 9T-0.016 2T2 | 0.621 | 35 | 50 288 | 0.00 |
情景2 Scenario 2 | LEVb=-14.495 1+1.136 6T-0.016 3T2 | 0.617 | 35 | 53 638 | 4.19 |
情景3 Scenario 3 | LEVc=-14.542 2+1.136 1T-0.016 2T2 | 0.619 | 35 | 53 263 | 3.83 |
情景4 Scenario 4 | LEVd=-14.520 9+1.133 6T-0.016 2T2 | 0.619 | 35 | 53 071 | 3.51 |
Table 6
Effects of different discount rates on the optimal rotation age and land expected value of Larix olgensis plantation"
贴现率 Discount rate(%) | 情景1 Scenario 1 | 情景2 Scenario 2 | 情景3 Scenario 3 | 情景4 Scenario 4 | |||||||
最优轮伐期 Optimal rotation age/a | 林地期望值 LEV/ (yuan·hm-2) | 最优轮伐期 Optimal rotation age/a | 林地期望值 LEV/ (yuan·hm-2) | 最优轮伐期 Optimal rotation age/a | 林地期望值 LEV/ (yuan·hm-2) | 最优轮伐期 Optimal rotation age/a | 林地期望值 LEV/ (yuan·hm-2) | ||||
1 | 39 | 741 644 | 39 | 762 414 | 39 | 756 936 | 39 | 753 148 | |||
3 | 37 | 151 189 | 37 | 157 438 | 37 | 156 090 | 37 | 155 313 | |||
5 | 35 | 50 288 | 35 | 53 638 | 35 | 53 263 | 35 | 53 071 | |||
7 | 33 | 16 061 | 33 | 18 189 | 33 | 18 049 | 33 | 17 984 | |||
9 | 31 | 2 026 | 31 | 3 496 | 31 | 3 433 | 31 | 3 407 |
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