林业科学 ›› 2026, Vol. 62 ›› Issue (4): 81-90.doi: 10.11707/j.1001-7488.LYKX20250191
江怡航1,2,曾庆伟3,刘振华4,张建国1,张雄清1,2,*(
)
收稿日期:2025-04-02
出版日期:2026-04-15
发布日期:2026-04-11
通讯作者:
张雄清
E-mail:xqzhang85@caf.ac.cn
基金资助:
Yihang Jiang1,2,Qingwei Zeng3,Zhenhua Liu4,Jianguo Zhang1,Xiongqing Zhang1,2,*(
)
Received:2025-04-02
Online:2026-04-15
Published:2026-04-11
Contact:
Xiongqing Zhang
E-mail:xqzhang85@caf.ac.cn
摘要:
目的: 基于概率推理的机器学习方法——贝叶斯网络模型,分析杉木?闽楠近自然改造下杉木生长性状、土壤养分、林下植被多样性等因子对杉木大径材出材量的影响,为杉木林分的优化经营和大径材培育提供理论支持。方法: 以湖南省临武县西山国有林场2004年营造的杉木人工林为研究对象,2015年对其进行抚育间伐,并在同年套种闽楠。选取杉木保留密度、胸径、优势高、冠幅、土壤养分(全氮、全磷含量)、林下植被多样性等因子,结合数据与专家知识,基于贝叶斯网络模型构建杉木大径材出材量影响机制模型,并采用期望最大化(EM)算法对模型进行学习,揭示不同因子对杉木大径材出材量的影响及其相互作用。结果: 杉木大径材出材量受杉木保留密度、冠幅、胸径、优势高、土壤肥力、林下植被多样性等因子的综合影响。胸径生长和冠幅扩展是影响杉木大径材出材量的关键因素(43.0%),其影响大于优势高(2.07%)。适宜的杉木保留密度有助于促进胸径和冠幅生长,提高大径材产量。全磷作为土壤的重要养分元素,对杉木生长具有正向促进作用(1.40%),林下植被多样性对大径材出材量的影响较小,主要通过间接途径影响杉木生长。贝叶斯网络模型在捕捉多因子间的复杂关系并预测杉木大径材出材量方面表现出较高的预测精度(88.9%,AUC=0.916 7)和良好的可解释性。结论: 本研究基于贝叶斯网络模型揭示出杉楠近自然改造下杉木大径材出材量的影响机制,提出杉木人工林经营应重点关注胸径和冠幅生长、优化林分密度和土壤磷供应,以促进大径材出材量的可持续提升。贝叶斯网络模型作为一种机器学习方法,在揭示杉木生长性状、土壤养分、林下植被多样性等多因子间的复杂关系方面表现出较高的预测精度和良好的可解释性,可为杉木人工林高效经营和大径材出材量提升提供科学依据,为森林经营决策提供高效、可解释的工具。
中图分类号:
江怡航,曾庆伟,刘振华,张建国,张雄清. 基于贝叶斯网络模型的杉楠近自然改造下杉木大径材出材量的影响机制[J]. 林业科学, 2026, 62(4): 81-90.
Yihang Jiang,Qingwei Zeng,Zhenhua Liu,Jianguo Zhang,Xiongqing Zhang. Impact mechanism of Large-Diameter Timber Yield of Chinese Fir under Close-to-Nature Transformation from Chinese Fir to Phoebe bournei Based on Bayesian Network Model[J]. Scientia Silvae Sinicae, 2026, 62(4): 81-90.
表2
贝叶斯网络中各节点变量的离散化和先验概率"
| 节点变量 Node variables | 离散值(低、高) Discretization value (low, high) | 先验概率 Prior probability |
| 胸径Average DBH/cm | [17.6, 21.55], (21.55, 25.1] | (0.50, 0.50) |
| 杉木保留密度Retained density/(tree?hm?2) | [367, 550], (550, | (0.50, 0.50) |
| 冠幅Crown width/m | [2.6, 4.25], (4.25, 5] | (0.50, 0.50) |
| 优势高 Dominant height/m | [11.6, 16.85], (16.85, 20.1] | (0.50, 0.50) |
| 灌木多样性 Shrub diversity | [0.552, 1.72], (1.72, 2.49] | (0.50, 0.50) |
| 草本多样性 Herb diversity | [0.323, 1.96], (1.96, 2.67] | (0.50, 0.50) |
| 全氮Total nitrogen (%) | [0.11, 0.137], (0.137, 0.258] | (0.50, 0.50) |
| 全磷Total phosphorus (%) | [0.017, | (0.50, 0.50) |
| 大径材出材量Large diameter yield/(m3?hm?2) | [0.38, 42.38], (42.38, 128.16] | (0.50, 0.50) |
表3
杉木大径材出材量敏感性分析结果"
| 节点 Nodes | 方差减少 Variance reduction | 互信息值 Mutual information | 占比 Percent (%) |
| 大径材出材量Large diameter yield | 0.249 1 | 0.997 5 | 100.00 |
| 胸径DBH | 0.132 7 | 0.428 6 | 43.00 |
| 冠幅Crown width | 0.095 8 | 0.298 2 | 29.90 |
| 杉木保留密度Density | 0.048 1 | 0.144 2 | 14.50 |
| 优势高Dominant height | 0.006 9 | 0.020 7 | 2.07 |
| 全磷Total phosphorus | 0.004 8 | 0.013 9 | 1.40 |
| 全氮Total nitrogen | 0.002 6 | 0.007 4 | 0.74 |
| 灌木多样性Shrub diversity | 0.000 4 | 0.001 4 | 1.42E-01 |
| 草本多样性Herb diversity | 0.000 2 | 0.000 6 | 5.57E-02 |
|
江怡航, 胡宇欣, 刘振华, 等. 杉楠不同近自然改造模式对杉木林分生长及材种出材量的影响. 中南林业科技大学学报, 2024, 44 (12): 51- 58, 142.
doi: 10.14067/j.cnki.1673-923x.2024.12.005 |
|
|
Jiang Y H, Hu Y X, Liu Z H, et al. Effects of close-to-nature silviculture mixed with Phoebe bournei in Chinese fir plantations on stand growth and timber assortment output of Chinese fir. Journal of Central South University of Forestry & Technology, 2024, 44 (12): 51- 58, 142.
doi: 10.14067/j.cnki.1673-923x.2024.12.005 |
|
|
李晓燕, 段爱国, 张建国. 不同产区杉木人工林初植密度对优势高生长的影响. 林业科学, 2023, 59 (8): 22- 29.
doi: 10.11707/j.1001-7488.LYKX20210836 |
|
|
Li X Y, Duan A G, Zhang J G. Effects of initial planting density on dominant height growth of Chinese fir (Cunninghamia lanceolata) plantation in different distribution areas. Scientia Silvae Sinicae, 2023, 59 (8): 22- 29.
doi: 10.11707/j.1001-7488.LYKX20210836 |
|
| 路文燕, 董灵波, 田 园, 等. 基于树种组成的大兴安岭天然林主要树种树高−胸径曲线研究. 南京林业大学学报(自然科学版), 2023, 47 (4): 157- 165. | |
| Lu W Y, Dong L B, Tian Y, et al. Modelling height-diameter curves of main species for natural forests based on species composition in Greater Khingan Mountains, northeast China. Journal of Nanjing Forestry University (Natural Sciences Edition), 2023, 47 (4): 157- 165. | |
|
潘 昕, 李 骏, 孙帅超, 等. 杉木主伐林分材种结构及其出材率模型研建. 北京林业大学学报, 2023, 45 (8): 84- 93.
doi: 10.12171/j.1000-1522.20230031 |
|
|
Pan X, Li J, Sun S C, et al. Timber assortment structure and outturn model for final felling stands of Cunninghamia lanceolata plantations. Journal of Beijing Forestry University, 2023, 45 (8): 84- 93.
doi: 10.12171/j.1000-1522.20230031 |
|
| 钱 越, 李铁华, 游 美, 等. 杉木保留密度对杉阔异龄复层林生长量及土壤理化性质的影响. 湖南林业科技, 2024, 51 (3): 36- 43. | |
| Qian Y, Li T H, You M, et al. Effects of retention density on the growth and soil physicochemical properties of multi-layered Cunninghamia lanceolata forests of different ages. Hunan Forestry Science & Technology, 2024, 51 (3): 36- 43. | |
|
宋重升, 王有良, 张利荣, 等. 间伐强度对杉木人工林材种结构的影响. 福建农林大学学报(自然科学版), 2022, 51 (2): 195- 203.
doi: 10.13323/j.cnki.j.fafu(nat.sci.).2022.02.007 |
|
|
Song C S, Wang Y L, Zhang L R, et al. Effect of thinning intensity on timber structure of Chinese fir plantation. Journal of Fujian Agriculture and Forestry University (Natural Science Edition), 2022, 51 (2): 195- 203.
doi: 10.13323/j.cnki.j.fafu(nat.sci.).2022.02.007 |
|
| 童书振, 刘景芳. 2019. 杉木林经营数表与优化密度控制. 北京: 中国林业出版社. | |
| Tong S Z, Liu J F. 2019. Study on management number table and optimal density control of Cunninghamia lanceolata forest. Beijing: China Forestry Publishing House. [in Chinese] | |
|
王佳琪, 马东旭, 蓝伟立, 等. 间伐保留密度对基于大径材培育下杉木人工林生长和材种结构的影响. 中南林业科技大学学报, 2024, 44 (2): 20- 28.
doi: 10.14067/j.cnki.1673-923x.2024.02.003 |
|
|
Wang J Q, Ma D X, Lan W L, et al. Effects of thinning retention density on growth and wood species structure of Chinese fir plantation based on large-diameter timber cultivation. Journal of Central South University of Forestry & Technology, 2024, 44 (2): 20- 28.
doi: 10.14067/j.cnki.1673-923x.2024.02.003 |
|
|
王书韧, 郭利娜, 白彦锋, 等. 间伐套种对杉木人工林生长、干形形质和材种结构的影响. 林业科学研究, 2023, 36 (6): 48- 57.
doi: 10.12403/j.1001-1498.20230147 |
|
|
Wang S R, Guo L N, Bai Y F, et al. Effects of thinning and interplanting on the tree growth, stem-form quality and timber structure of Cunninghamia lanceolata. Forest Research, 2023, 36 (6): 48- 57.
doi: 10.12403/j.1001-1498.20230147 |
|
| 王晓红, 辛守英, 张 薇, 等. 基于主成分分析下贝叶斯优化卷积神经网络模型人工林树种识别的研究. 森林工程, 2025, 41 (2): 298- 311. | |
| Wang X H, Xin S Y, Zhang W, et al. Study on tree species identification of planted forests based on PCA-BO-CNN model. Forest Engineering, 2025, 41 (2): 298- 311. | |
| 魏书蒙, 陈详腾, 赵光宇, 等. 杉木人工林近自然改造对土壤化学性质及酶活性的影响. 生态学报, 2024, 44 (10): 4277- 4287. | |
| Wei S M, Chen X T, Zhao G Y, et al. Effects of close-to-nature transformation of Chinese fir plantation on soil chemical properties and enzyme activities. Acta Ecologica Sinica, 2024, 44 (10): 4277- 4287. | |
|
相聪伟, 张建国, 段爱国, 等. 杉木人工林材种结构的立地及密度效应研究. 林业科学研究, 2015, 28 (5): 654- 659.
doi: 10.3969/j.issn.1001-1498.2015.05.008 |
|
|
Xiang C W, Zhang J G, Duan A G, et al. Effects of site quality and planting density on wood assortment rate in Chinese fir plantation. Forest Research, 2015, 28 (5): 654- 659.
doi: 10.3969/j.issn.1001-1498.2015.05.008 |
|
|
杨 颖, 王国忠, 郑文华, 等. 杉木纯林转变为杉木和闽楠复层异龄混交林对土壤剖面氮磷组分的影响. 森林工程, 2025, 41 (6): 1230- 1241.
doi: 10.7525/j.issn.1006-8023.2025.06.013 |
|
|
Yang Y, Wang G Z, Zheng W H, et al. Effects of transforming pure Cunninghamia lanceolata plantations into multi-layered, uneven-aged mixed Cunninghamia lanceolata and Phoebe bournei plantations on soil profile nitrogen and phosphorus fractions. Forest Engineering, 2025, 41 (6): 1230- 1241.
doi: 10.7525/j.issn.1006-8023.2025.06.013 |
|
|
叶功富, 涂育合, 林瑞荣, 等. 杉木人工林不同密度管理定向培育大径材. 北华大学学报(自然科学版), 2005, 6 (6): 544- 549.
doi: 10.3969/j.issn.1009-4822.2005.06.020 |
|
|
Ye G F, Tu Y H, Lin R R, et al. On big-diameter-oriented cultivation techniques of Cunninghamia lanceolata of different density measures. Journal of Beihua University (Natural Science), 2005, 6 (6): 544- 549.
doi: 10.3969/j.issn.1009-4822.2005.06.020 |
|
|
张雄清, 张建国, 段爱国. 基于贝叶斯法估计杉木人工林树高生长模型. 林业科学, 2014, 50 (3): 69- 75.
doi: 10.11707/j.1001-7488.20140310 |
|
|
Zhang X Q, Zhang J G, Duan A G. Tree-height growth model for Chinese fir plantation based on Bayesian method. Scientia Silvae Sinicae, 2014, 50 (3): 69- 75.
doi: 10.11707/j.1001-7488.20140310 |
|
|
Aguilera P A, Fernández A, Fernández R, et al. Bayesian networks in environmental modelling. Environmental Modelling & Software, 2011, 26 (12): 1376- 1388.
doi: 10.1016/j.envsoft.2011.06.004 |
|
|
Bianchi S, Huuskonen S, Hynynen J, et al. Comparing wood production and carbon sequestration after extreme thinnings in boreal Scots pine stands. Forest Ecology and Management, 2024, 553, 121641.
doi: 10.1016/j.foreco.2023.121641 |
|
|
Bodewes T, Scutari M. Learning Bayesian networks from incomplete data with the node-average likelihood. International Journal of Approximate Reasoning, 2021, 138, 145- 160.
doi: 10.1016/j.ijar.2021.07.015 |
|
|
Charizanos G, Demirhan H. Bayesian prediction of wildfire event probability using normalized difference vegetation index data from an Australian forest. Ecological Informatics, 2023, 73, 101899.
doi: 10.1016/j.ecoinf.2022.101899 |
|
|
Chen F, Jia H C, Du E Y, et al. Modeling of the cascading impacts of drought and forest fire based on a Bayesian network. International Journal of Disaster Risk Reduction, 2024, 111, 104716.
doi: 10.1016/j.ijdrr.2024.104716 |
|
| Darwiche A. 2009. Modeling and reasoning with Bayesian networks. UK: Cambridge University Press, 560. | |
| Fenton N, Neil M. 2012. Risk assessment and decision analysis with Bayesian networks. Boca Raton, FL: CRC Press, 524. | |
|
Jian Z J, Ni Y Y, Lei L, et al. Phosphorus is the key soil indicator controlling productivity in planted Masson pine forests across subtropical China. Science of the Total Environment, 2022, 822, 153525.
doi: 10.1016/j.scitotenv.2022.153525 |
|
|
Jiang Y H, Wang Z, Chen H Y, et al. A Bayesian network model to disentangle the effects of stand and climate factors on tree mortality of Chinese fir plantations. Frontiers in Forests and Global Change, 2023, 6, 1298968.
doi: 10.3389/ffgc.2023.1298968 |
|
|
Jucker T, Bouriaud O, Coomes D A. Crown plasticity enables trees to optimize canopy packing in mixed-species forests. Functional Ecology, 2015, 29 (8): 1078- 1086.
doi: 10.1111/1365-2435.12428 |
|
|
Kaushal S, Baishya R. Stand structure and species diversity regulate biomass carbon stock under major central Himalayan forest types of India. Ecological Processes, 2021, 10 (1): 14.
doi: 10.1186/s13717-021-00283-8 |
|
|
Kweon D, Comeau P G. Relationships between tree survival, stand structure and age in trembling aspen dominated stands. Forest Ecology and Management, 2019, 438, 114- 122.
doi: 10.1016/j.foreco.2019.02.003 |
|
|
Li X Y, Duan A G, Zhang J G. Influence of stand density, site, age, and competition on the timber assortment structure of Chinese fir plantations. Scientific Reports, 2024, 14 (1): 29056.
doi: 10.1038/s41598-024-79411-1 |
|
|
Liu C L C, Kuchma O, Krutovsky K V. Mixed-species versus monocultures in plantation forestry: development, benefits, ecosystem services and perspectives for the future. Global Ecology and Conservation, 2018, 15, e00419.
doi: 10.1016/j.gecco.2018.e00419 |
|
|
Mustafaa Y T, Tolpekin V, Stein A. Application of the EM-algorithm for Bayesian network modelling to improve forest growth estimates. Procedia Environmental Sciences, 2011, 7, 74- 79.
doi: 10.1016/j.proenv.2011.07.014 |
|
|
Nappa A, Quartulli M, Azpiroz I, et al. Probabilistic Bayesian Neural Networks for olive phenology prediction in precision agriculture. Ecological Informatics, 2024, 82, 102723.
doi: 10.1016/j.ecoinf.2024.102723 |
|
|
Ouyang S, Xiang W H, Wang X P, et al. Effects of stand age, richness and density on productivity in subtropical forests in China. Journal of Ecology, 2019, 107 (5): 2266- 2277.
doi: 10.1111/1365-2745.13194 |
|
|
Selvaraj S, Duraisamy V, Huang Z J, et al. Influence of long-term successive rotations and stand age of Chinese fir (Cunninghamia lanceolata) plantations on soil properties. Geoderma, 2017, 306, 127- 134.
doi: 10.1016/j.geoderma.2017.07.014 |
|
|
Vogel K, Riggelsen C, Korup O, et al. Bayesian network learning for natural hazard analyses. Natural Hazards and Earth System Sciences, 2014, 14 (9): 2605- 2626.
doi: 10.5194/nhess-14-2605-2014 |
|
|
Wang Y R, Liu Z H, Tang T, et al. Analysis of the relative importance of stand structure and site conditions for the productivity, species diversity, and carbon sequestration of Cunninghamia lanceolata and Phoebe bournei mixed forest. Plants, 2023, 12 (8): 1633.
doi: 10.3390/plants12081633 |
|
|
Węgiel A, Bembenek M, Łacka A, et al. Relationship between stand density and value of timber assortments: a case study for Scots pine stands in north-western Poland. New Zealand Journal of Forestry Science, 2018, 48, 12.
doi: 10.1186/s40490-018-0117-7 |
|
|
Wei X H, Blanco J A, Jiang H, et al. Effects of nitrogen deposition on carbon sequestration in Chinese fir forest ecosystems. Science of the Total Environment, 2012, 416, 351- 361.
doi: 10.1016/j.scitotenv.2011.11.087 |
|
|
Zapata-Cuartas M, Sierra C A, Alleman L. Probability distribution of allometric coefficients and Bayesian estimation of aboveground tree biomass. Forest Ecology and Management, 2012, 277, 173- 179.
doi: 10.1016/j.foreco.2012.04.030 |
|
|
Zhang X Q, Cao Q V, Lu L L, et al. Use of modified Reineke’s stand density index in predicting growth and survival of Chinese fir plantations. Forest Science, 2019, 65 (6): 776- 783.
doi: 10.1093/forsci/fxz033 |
|
|
Zhang Y B, Duan B L, Xian J R, et al. Links between plant diversity, carbon stocks and environmental factors along a successional gradient in a subalpine coniferous forest in Southwest China. Forest Ecology and Management, 2011, 262 (3): 361- 369.
doi: 10.1016/j.foreco.2011.03.042 |
|
|
Zhou M L, Lei X D, Duan G S, et al. The effect of the calculation method, plot size, and stand density on the top height estimation in natural spruce-fir-broadleaf mixed forests. Forest Ecology and Management, 2019, 453, 117574.
doi: 10.1016/j.foreco.2019.117574 |
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