杉木枝下高预测:非线性混合效应模型与机器学习的比较OA
Prediction of Clear Bole Height of Cunninghamia lanceolata:A Comparison between Nonlinear Mixed-Effects Models and Machine Learning
为优选出高效低偏的枝下高预测方法,以三明市将乐国有林场 35 块样地的 2 515 株杉木(Cunning-hamia lanceolata)实测数据为研究对象,系统对比了非线性混合效应模型与机器学习算法在杉木人工林枝下高预测中的表现,通过再参数化方法构建广义非线性模型,并引入随机效应和方差函数扩展为混合效应模型.同时,分别构建了随机森林(RF)与极端梯度提升算法(XGBoost)模型,并以五折交叉验证,采用 Optuna 算法对模型超参数进行优化.结果表明:在建模数据上,XGBoost 模型的拟合精度最高(平均绝对误差(EMA)为 0.813 5 m,均方根误差(ERMS)为 1.109 2 m,决定系数(R2)为 0.888 4),展现了机器学习在捕捉复杂非线性关系上的优势;但在独立检验数据上,引入样地随机效应的非线性混合效应模型预测精度最优(EMA 为 0.995 0 m,ERMS 为 1.349 9 m,R2 为0.848 7),体现了混合效应模型在处理嵌套数据结构时的泛化优势.综合单木、林分与竞争因子的非线性混合效应模型因可解释性强,目前仍是枝下高预测的主流方法,但其建模过程复杂.相比之下,机器学习算法无需预设函数形式,建模效率高,虽然在独立检验集上的精度略低,但潜力巨大.通过优化关键预测因子并扩大样本,机器学习有望以更简化的输入实现与混合效应模型相当甚至更优的预测效果.
To select efficient and low-bias prediction methods for clear bole height,measured data from 2 515 Cunninghamia lanceolata trees across 35 sample plots at Jiangle State-owned Forest Farm in Sanming City were used as research materi-als.This study systematically compared the predictive performance of nonlinear mixed-effects models and machine learning algorithms for clear bole height estimation in C.lanceolata plantations.A generalized nonlinear model was established via reparameterization,which was further extended into a mixed-effects model by incorporating random effects and variance functions.Meanwhile,random forest(RF)and extreme gradient boosting(XGBoost)models were separately developed.Five-fold cross-validation was adopted,and the Optuna algorithm was utilized to optimize model hyperparameters.The re-sults showed that the XGBoost model achieved the highest fitting accuracy on the training dataset,with a mean absolute er-ror(EMA)of 0.813 5 m,root mean square error(ERMS)of 1.109 2 m,and coefficient of determination(R2)of 0.888 4,demonstrating the superiority of machine learning in capturing complex nonlinear relationships.However,the nonlinear mixed-effects model with plot random effects yielded the optimal prediction accuracy on the independent test dataset,with EMA=0.995 0 m,ERMS=1.349 9 m,and R2=0.848 7,reflecting the generalization advantage of mixed-effects models when handling nested data structures.The nonlinear mixed-effects model integrating individual tree,stand,and competi-tion factors remains the mainstream approach for clear bole height prediction due to its strong interpretability,despite its complicated modeling workflow.In contrast,machine learning algorithms require no pre-specified functional forms and fea-ture high modeling efficiency.Although they deliver slightly lower accuracy on independent test sets,they possess great application potential.By optimizing key predictive variables and expanding sample sizes,machine learning is expected to achieve predictive performance comparable to or even superior to mixed-effects models with simplified input variables.
潘占冬;王宝莹;梁瑞婷;丁志丹;王轶夫;孙玉军
森林资源和环境管理国家林业和草原局重点实验室(北京林业大学),北京,100083森林资源和环境管理国家林业和草原局重点实验室(北京林业大学),北京,100083森林资源和环境管理国家林业和草原局重点实验室(北京林业大学),北京,100083森林资源和环境管理国家林业和草原局重点实验室(北京林业大学),北京,100083森林资源和环境管理国家林业和草原局重点实验室(北京林业大学),北京,100083森林资源和环境管理国家林业和草原局重点实验室(北京林业大学),北京,100083
农业科技
随机效应混合效应模型机器学习枝下高
Random effectsMixed-effects modelMachine learningClear bole height
《东北林业大学学报》 2026 (9)
30-40,86,12
国家自然科学基金项目(31870620)林业科学技术推广项目([2019]06).
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