[1]段光爽,李学东,冯 岩,等.基于广义非线性混合效应的华北落叶松天然次生林枝下高模型[J].南京林业大学学报(自然科学版),2018,42(02):170-176.[doi:10.3969/j.issn.1000-2006.201703103]
 DUAN Guangshuang,LI Xuedong,FENG Yan,et al.Generalized nonlinear mixed-effects crown base height model of Larix principis-rupprechtii natural secondary forests[J].Journal of Nanjing Forestry University(Natural Science Edition),2018,42(02):170-176.[doi:10.3969/j.issn.1000-2006.201703103]
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基于广义非线性混合效应的华北落叶松天然次生林枝下高模型
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《南京林业大学学报(自然科学版)》[ISSN:1000-2006/CN:32-1161/S]

卷:
42
期数:
2018年02期
页码:
170-176
栏目:
专题报道
出版日期:
2018-03-20

文章信息/Info

Title:
Generalized nonlinear mixed-effects crown base height model of Larix principis-rupprechtii natural secondary forests
文章编号:
1000-2006(2018)02-0170-07
作者:
段光爽12李学东3冯 岩4符利勇1*
1. 中国林业科学研究院资源信息研究所,北京 100091; 2. 信阳师范学院数学与统计学院,河南 信阳 464000; 3.中国林业科学研究院华北林业实验中心,北京 102300; 4.中国林业科学研究院,北京 100091
Author(s):
DUAN Guangshuang12LI Xuedong3 FENG Yan4 FU Liyong1*
1. Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing 100091, China; 2. College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China; 3. Experimental Centre of Forestry in North China, Chinese Academy of Forestry, Beijing 102300, China; 4. Chinese Academy of Forestry, Beijing 100091, China
关键词:
华北落叶松 广义非线性混合模型 枝下高 天然次生林
Keywords:
Keywords:Larix principis-rupprechtii generalized nonlinear mixed model crown base height natural secondary forests
分类号:
S758
DOI:
10.3969/j.issn.1000-2006.201703103
文献标志码:
A
摘要:
【目的】立木枝下高模型的构建是森林经营的核心内容,利用非线性混合效应模型方法构建华北落叶松枝下高模型,可为森林生长与收获研究提供理论依据。【方法】基于112块华北落叶松天然次生林样地单木数据,从7个备选的枝下高-树高模型中选出一个最优基础模型; 分析9个不同单木或林分因子及其因子之间的组合对枝下高的影响,将影响显著的因子作为模型预测变量以提高模型精度。在此基础上,考虑区组以及嵌套在区组里的样地对枝下高的影响,即构建嵌套两水平的非线性混合效应枝下高模型。【结果】Logistic模型预测精度较高并且模型参数可解释,因此选为基础模型。除树高之外,立木胸径、样地内所有大于对象木胸径的立木断面积总和、平均冠幅和林分密度与枝下高相关显著,故作为模型预测变量。与传统模型相比,所构建的两水平嵌套非线性混合效应模型对应的决定系数提高了53.26%,均方根误差降低了24.73%,因此明显提高了模型预测精度。【结论】区组和嵌套在区组里的样地对立木枝下高随机干扰较大,当考虑这些随机效应对枝下高的影响时能明显提高模型的预测精度。
Abstract:
【Objective】As a core tool for forest management, a model of crown base height,which utilizes the method of nonlinear mixed effects, was established in this study for researching the growth and yield of Larix principis-rupprechtii natural secondary forests.【Method】Based on individual tree data of 112 plots of a Larix principis-rupprechtii natural secondary forests, an optimal basic model was selected from seven candidate crown base height models.The influence on crown height base of nine disparate individual tree or stand characteristics and their combinations were analyzed, and these significant factors were regarded as predictor variables for improving the precision of the model. Taking into account the disturbance from block- and plot-level random effects, a nested two-level nonlinear mixed-effects model of crown height base was constructed.【Result】The Logistic model was selected as the basic model on account of its higher prediction accuracy and interpret ability of model parameters. Tree diameter at breast height, total basal area of all trees with diameter larger than that of the target tree, mean crown length and stand density were used as predictor variables because of their significant correlation to crown height base, and not to tree height. Compared with the conventional model, the prediction accuracy of the nested two-level nonlinear mixed-effects model was enhanced distinctly, and its coefficient of determination and root mean square error were increased by 53.26% and reduced by 24.73% respectively.【Conclusion】The disturbance from block and plot level random effects significantly influenced the prediction of the crown height base.However, the prediction accuracy of the crown height base model with these random effects was still improved obviously.

参考文献/References:

[1] HUBERT H, MONSERUD R A. A crown ratio model for Austrian forests[J]. Forest Ecology and Management, 1996, 84(1): 49-60.DOI:10.1016/0378-1127(96)03768-1.
[2] KERSHAW J A, MAGUIRE D A, HANN D W. Longevity and duration of radial growth in Douglas-fir branches[J]. Canadian Journal of Forest Research, 1990, 20(11): 1690-1695.DOI:10.1139/x90-225.
[3] KUPREVICIUS A, AUTY D, ACHIM A, et al. Quantifying the influence of live crown ratio on the mechanical properties of clear wood[J]. Forestry, 2013, 86(3): 361-369.DOI:10.1093/forestry/cpt006.
[4] SPRINZ P T, BURKHART H E. Relationships between tree crown, stem, and stand characteristics in unthinned loblolly pine plantations[J]. Canadian Journal of Forest Research, 1987, 17(6): 534-538.DOI:10.1139/x87-089.
[5] WYKOFF W R. A basal area increment model for individual conifers in the northern Rocky Mountains[J]. Forest Science, 1990(4): 1077-1104.
[6] MONSERUD R A, STERBA H. A basal area increment model for individual trees growing in even-and uneven-aged forest stands in Austria[J]. Forest Ecology and Management, 1996, 80(1): 57-80.DOI:10.1016/0378-1127(95)03638-5.
[7] MCROBERTS R E, HAHN J T, HEFTY G J, et al. Variation in forest inventory field measurements[J]. Canadian Journal of Forest Research, 1994, 24(9): 1766-1770.DOI:10.1139/x94-228.
[8] TEMESGEN H, LEMAY V, MITCHELL S J. Tree crown ratio models for multi-species and multi-layered stands of southeastern British Columbia[J]. Forestry Chronicle, 2005, 81(1): 133-141.DOI:10.5558/tfc81133-1.
[9] RITCHIE M W, HANN D W. Equations for predicting height to crown base for fourteen tree species in southwest Oregon[J]. Forest Reserach laboratory, Oregon State University, Corvallis, 1987, 50: 14.
[10] RIJAL B, WEISKITTEL A R, KERSHAW J A. Development of height to crown base models for thirteen tree species of the North American Acadian Region[J]. Forestry Chronicle, 2012, 88(1): 60-73.DOI:10.5558/tfc2012-011.
[11] FU L, ZHANG H, SHARMA R P, et al. A generalized nonlinear mixed-effects height to crown base model for Mongolian oak in Northeast China[J]. Forest Ecology and Management, 2016, 384(1): 34-43.DOI:10.1016/j.foreco.2016.09.012.
[12] 符利勇,何铮,刘应安.关帝山天然次生针叶林林隙大小模型研究[J].南京林业大学学报(自然科学版),2010, 34(5):51-54.DOI:10.3969/j.issn.1000-2006.2010.05.011. FU L Y, HE Z, LIU Y A. Study of the gap size model in a secondary coniferous forest of Guandi Mountain[J]. Journal of Nanjing Forestry University(Natural Sciences Edition), 2010, 34(5): 51-54.
[13] 菇文明,张峰.山西五台山种子植物区系分析[J].植物研究,2000, 20(1):36-47.DOI:10.3969/j.issn.1673-5102.2000.01.007. GU W M, ZHANG F. Analysis on the flora of seed plants of Wutai Mountains, Shanxi[J]. Bulletin of Botanical Research, 2000, 20(1): 36-47.
[14] SOARES P, TOMÉ M. A tree crown ratio prediction equation for eucalypt plantations[J]. Annals of Forest Science, 2001, 58(2): 193-202.DOI:10.1051/forest:2001118.
[15] POPOOLA F S, ADESOYE P O. Crown ratio models for Tectona grandis(Linn. f)stands in OSHO forest reserve, OYO state, Nigeria[J]. Journal of Forest and Environmental Science, 2012, 28(2): 63-67.DOI:10.7747/JFS.2012.28.2.063.
[16] YANG Y Q, HUANG S M. Comparison of different methods for fitting nonlinear mixed forest models and for making predictions[J]. Canadian Journal of Forest Research, 2011, 41(8): 1671-1686.DOI:10.1139/x11-071.
[17] UZOH F C, OLIVER W W. Individual tree diameter increment model for managed even-aged stands of ponderosa pine throughout the western United States using a multilevel linear mixed effects model [J]. Forest Ecology and Management, 2008, 256(3): 438-445.DOI:10.1016/j.foreco.2008.04.046.
[18] FANG Z, BAILEY R L. Nonlinear mixed effects modeling for slash pine dominant height growth following intensive silvicultural treatments[J]. Forest Science, 2001, 47(3): 287-300.DOI:10.1046/j.1439-0329.2001.00240.x.
[19] 李春明,唐守正.基于非线性混合模型的落叶松云冷杉林分断面积模型[J].林业科学,2010, 46(7):106-113.DOI:10.11707/j.1001-7488.20100716. LI C M, TANG S Z. The basal area model of mixed stands of Larix olgensis, Abies nephrolepis and Picea jezoensis based on nonlinear mixed model[J]. Scientia Silvae Sinicae, 2010, 46(7): 106-113.
[20] FU L, SUN H, SHARMA R P, et al. Nonlinear mixed-effects crown width models for individual trees of Chinese fir(Cunninghamia lanceolata)in south-central China[J]. Forest Ecology and Management, 2013, 302(6): 210-220.DOI:10.1016/j.foreco.2013.03.036.
[21] 马利强,玉宝,王立明,等.兴安落叶松天然林单木高生长模型[J].南京林业大学学报(自然科学版),2013,37(2):169-172.DOI:10.3969/j.issn.1000-2006.2013.02.031. MA L Q, YU B, WANG L M, et al. Single tree height growth models of Larix gmelinii natural forest[J]. Journa of Nanjing Forestry University(Natural Sciences Edition), 2013, 37(2): 169-172.
[22] CHRIS T, MATTHEWC R. Equations to convert compacted crown ratio to uncompacted crown ratio for trees in the interior West[J]. Western Journal of Applied Forestry, 2009, 24(2): 76-82.DOI:10.1007/s00468-008-0292-x.
[23] RUSSELL M B, WEISKITTEL A R. Maximum and largest crown width equations for 15 tree species in Maine[J]. Northern Journal of Applied Forestry, 2011(2): 84-91.

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备注/Memo

备注/Memo:
基金项目:国家林业公益性行业科研专项项目(201404417); 国家自然科学基金项目(31570628,31470641); 河南省科技开放合作项目(172106000071) 第一作者:段光爽(oliverdgs@163.com),博士。*通信作者:符利勇(fuly@caf.ac.cn),副研究员。
更新日期/Last Update: 2018-06-12