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林业科学 ›› 2026, Vol. 62 ›› Issue (4): 34-44.doi: 10.11707/j.1001-7488.LYKX20250264

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基于随机多准则可接受性分析的长白落叶松人工林多目标经营决策

孔欣茹1,金星姬1,*(),Pukkala Timo1,2,李凤日1   

  1. 1. 东北林业大学林学院 森林生态系统可持续经营教育部重点实验室 哈尔滨 150040
    2. 东芬兰大学林学院 约恩苏 80101
  • 收稿日期:2025-04-29 出版日期:2026-04-15 发布日期:2026-04-11
  • 通讯作者: 金星姬 E-mail:xingjijin@nefu.edu.cn
  • 基金资助:
    国家自然科学基金区域创新发展联合基金项目(U21A20244);“十四五”重点研发计划课题(2023YFD2200802)。

Multi-Objective Management Decision-Making for Larix olgensis Plantations through Stochastic Multi-Criteria Acceptability Analysis (SMAA)

Xinru Kong1,Xingji Jin1,*(),Timo Pukkala1,2,Fengri Li1   

  1. 1. School of Forestry, Northeast Forestry University Key Laboratory of Sustainable Forest Ecosystem Management of Ministry of Education Harbin 150040
    2. School of Forestry, University of Eastern Finland Joensuu 80101
  • Received:2025-04-29 Online:2026-04-15 Published:2026-04-11
  • Contact: Xingji Jin E-mail:xingjijin@nefu.edu.cn

摘要:

目的: 针对人工林多目标经营决策中主观偏好依赖性强、目标权重不确定导致决策结果不准确的问题,以长白落叶松人工林为研究对象,通过全面探索多维权重空间,为人工林多目标经营提供科学合理的决策依据。方法: 运用随机多准则可接受性分析(SMAA)方法,结合长白落叶松人工林林分生长模拟系统,开展不同立地条件下(SI=16、18、20、22 m)的多目标经营最优间伐方案研究。以林分年均木材产量、净现值(NPV)和轮伐期内平均碳储量为目标,探讨12种备选间伐方案(上层或下层间伐,间隔期5和10年,间伐强度10%、20%和30%)在不同立地条件下的动态效果,通过分析不同间伐方案的整体可接受性指数($ a_{i}^{h} $)和决策风险度($ \text{DR}{\mathrm{D}}^{r} $),从不同维度(综合表现和风险性)对各方案进行全面评估和排序,确定最优间伐方案。结果: 在相同间伐方案下,各经营目标随立地指数提高(每提升2 m)均有不同程度提升,年均木材产量提升10%~52%,净现值增长10%~67%,轮伐期内平均碳储量增加1%~47%;在同等间伐间隔期和间伐强度及立地条件下(以SI=18 m为例),上层间伐的年均木材产量和净现值比下层间伐分别高7%~17%和3%~45%,轮伐期内平均碳储量降低19%~47%;当SI=16、18 m时,间伐方案Ⅷ(上层间伐,10年间隔期,10%间伐强度)的综合多目标最优和最均衡(整体可接受性指数分别为79%和80%),决策风险度均为1%;随着立地指数提高(SI=20、22 m),间伐方案Ⅹ(上层间伐,10年间隔期,20%间伐强度)表现最佳(整体可接受性指数分别为85%和83%),决策风险度分别为2%和1%。结论: 随机多准则可接受性分析通过探索经营偏好和多维目标权重空间,可为森林多目标经营管理决策提供有效支持。本研究应用该方法确定长白落叶松人工林在4种不同立地条件下的最优间伐方案,为我国东北林区人工林的多目标经营决策提供了科学依据。

关键词: 长白落叶松人工林, 多目标, 随机多准则可接受性分析, 经营决策

Abstract:

Objective: Heavy reliance on subjective preferences, combined with substantial uncertainty in management objectives weights, often results in inaccurate decision-making in multi-objective management of plantations. In this study, Larix olgensis plantations were taken as the research object to comprehensively explore the multidimensional weight space, providing a sound basis for multi-objective management of plantations. Method: Stochastic multi-criteria acceptability analysis (SMAA) integrated with stand growth simulations was used to determine the optimal thinning schemes for L. olgensis plantations under different site conditions (SI=16, 18, 20, and 22 m). With the annual mean wood production, net present value (NPV), and the average carbon storage over the rotation as the criteria, this study explored the dynamic effects of 12 alternative thinning schemes (upper or lower thinning, interval periods of 5 and 10 years, thinning intensity of 10%, 20%, and 30%) under different site conditions. By analyzing the overall acceptability index ($ a_{i}^{h} $) and decision-making risk degree ($ \text{DR}{\mathrm{D}}^{r} $) of different thinning schemes, each scheme was comprehensively evaluated and ranked from multiple dimensions (comprehensive performance and risk) to identify the optimal thinning scheme. Result: Under the same thinning scheme, management objectives all increased to different degrees with the increase of site index (every 2 meters increase). The mean annual wood production increased by 10%–52%, NPV increased by 10%–67%, and the average carbon storage increased by 1%–47% during the rotation period for the 12 schemes. The upper thinning resulted in higher mean annual wood production and NPV but lower average carbon storage than lower thinning. For a plantation with a SI of 18 m, the increases were 7%?17% in mean annual wood production and 3%?45% in NPV, while the decrease was 19%?47% in average carbon storage over the rotation. For plantations with site indices of 16 and 18 m, the optimal thinning scheme was Ⅷ (i.e. upper thinning over a 10-year interval with a thinning intensity of 10%) as its overall acceptability index reached up to 79% and 80% and its decision-making risk degree was 1%. For plantations on more productive sites with site indices of 20 or 22 m, thinning scheme X (i.e. upper thinning over a 10-year interval with a thinning intensity of 20%) was optimal, with an overall acceptability index reaching 85% and 83% and the decision-making risk degree were 2% and 1%, respectively. Conclusion: Stochastic multi-criteria acceptability analysis (SMAA) can provide strong support for decision-making in multi-objective forest management through a comprehensive exploration of objective preferences and the multidimensional objective weight space. This study demonstrates its usefulness in determining the optimal thinning schemes for L. olgensis plantations across four site quality classes, providing a sound basis for multi-objective management decision of these plantations in northeast China.

Key words: Larix olgensis plantation, multi-objective, stochastic multi-criteria acceptability analysis (SMAA), management decision-making

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