贾炜玮;罗天泽;李凤日;

• 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

摘要(Abstract)：

【目的】分析抚育间伐对红松人工林枝条数量的影响,建立基于间伐效应的生物数学模型,为制定更加科学合理的间伐体制提供理论依据。【方法】基于黑龙江省林口林业局和东京城林业局不同林分条件及抚育间伐强度下的红松人工林49株解析木4 370组枝解析数据,利用R语言的nlme包,建立了基于抚育间伐效应的枝条密度单水平非线性混合模型,并利用调整决定系数(R_a~2)、赤池信息准则(AIC)、贝叶斯信息准则(BIC)、对数似然值(Log-likelihood)以及似然比检验(LRT)等评价指标对所收敛的模型进行评价。【结果】当地位指数和树木等级相近时,抚育间伐强度和冠长越大,枝条密度越大;当抚育间伐强度和树木等级相近时,地位指数和冠长越大,枝条密度越大;而抚育间伐强度和地位指数相近时,树木胸径与枝条密度呈负相关。基于样地效应的混合模型模拟精度均高于基础模型和基于样木效应的混合模型,最终选用含有总着枝深度(DINC)、相对着枝深度的自然对数(lnRDINC)、相对着枝深度的平方(RDINC~2)、胸径(DBH)、抚育间伐强度与间伐年龄的比值(TI/TA)这5个随机效应参数的非线性混合模型为枝条密度最优预测模型,其R_a~2为0.825 7,均方根误差(RMSE)为2.171 4。【结论】基于抚育间伐效应的红松枝条密度最优非线性混合效应模型,不但能提高模型精度,还能更加准确地体现抚育间伐对林木枝条产生的影响。

关键词(KeyWords)： 抚育间伐;枝条密度;非线性混合效应模型;红松人工林

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金面上项目(31870622);; 中央高校基本科研业务费专项(2572019CP08)

作者(Author): 贾炜玮;罗天泽;李凤日;

Email:

DOI:

参考文献(References)：

• [1]Weiskittel A R, Maguire D A, Monserud R A. Modeling crown structural responses to competing vegetation control, thinning,fertilization, and Swiss needle cast in coastal Douglas-fir of the Pacific Northwest, USA[J]. Forest Ecology and Management,2007, 245:96-109.
• [2]Li F R. Modeling crown profile of Larix olgensis trees[J].Scientia Silvae Sinicae, 2004, 40(5):16-24.
• [3]Fernandes P M, Rigolot E. The fire ecology and management of maritime pine(Pinus pinaster Ait)[J]. Forest Ecology and Management, 2007, 241(1-3):1-13.
• [4]Keim R F. Attenuation of rainfall intensity by forest canopies[D].Corvallis:Oregon State University, 2004.
• [5]Kucharik C J, Norman J M, Gower S T. Measurements of branch area and adjusting leaf area index indirect measurements[J].Agricultural and Forest Meteorology, 1998, 91(1–2):69-88.
• [6]Barbeito I, Pardos M, Calama R, et al. Effect of stand structure on Stone pine(Pinus pinea L.)regeneration dynamics[J]. Forestry,2008, 81(5):617-629.
• [7]董希斌,李耀翔,姜立春.间伐对兴安落叶松人工林林分结构的影响[J].东北林业大学学报, 2000, 28(1):16-18.Dong X B, Li Y X, Jiang L C. The effects of thinning on stand structure for larch plantation[J]. Journal of Northeast Forestry University, 2000, 28(1):16-18.
• [8]潘辉,张金文,林顺德,等.不同间伐强度对巨尾桉林分生产力的影响研究[J].林业科学, 2003, 39(专刊1):106-111.Pan H, Zhang J W, Lin S D, et al. Effects of different thinning intensity on stand productivity of Eucalyptus grandis×E.urophylla[J]. Scientia Silvae Sinicae, 2003, 39(Spec. 1):106-111.
• [9]李春明.基于两层次线性混合效应模型的杉木林单木胸径生长量模型[J].林业科学, 2012, 48(3):66-73.Li C M. Individual tree diameter increment model for Chinese fir plantaion based on two-level linear mixed effects models[J].Scientia Silvae Sinicae, 2012, 48(3):66-73.
• [10]雷相东,李永慈,向玮.基于混合模型的单木断面积生长模型[J].林业科学, 2009, 45(1):74-80.Lei X D, Li Y C, Xiang W. Individual basal area growth model using multi-level linear mixed model with repeated measures[J].Scientia Silvae Sinicae, 2009, 45(1):74-80.
• [11]王蒙,李凤日.基于抚育间伐效应的长白落叶松人工林单木直径生长模型[J].南京林业大学学报(自然科学版), 2018, 42(3):28-36.Wang M, Li F R. Modelling individual tree diameter growth for Larix olgensis based on thinning effects[J]. Journal of Nanjing Forestry University(Natural Sciences Edition), 2018, 42(3):28-36.
• [12]雷相东,陆元昌,张会儒,等.抚育间伐对落叶松云冷杉混交林的影响[J].林业科学, 2005, 41(4):78-85.Lei X D, Lu Y C, Zhang H R, et al. Effects of thinning on mixed stands of Larix olgensis, Abies nephrolepis and Picea jazoensis[J]. Scientia Silvae Sinicae, 2005, 41(4):78-85.
• [13]汤景明,孙拥康,冯骏,等.不同强度间伐对日本落叶松人工林生长及林下植物多样性的影响[J].中南林业科技大学学报,2018, 38(6):90-93, 122.Tang J M, Sun Y K, Feng J, et al. Influence of thinning on the growth and the diversity of undergrowth of Larix kaempferi plantation forest[J]. Journal of Central South University of Forestry&Technology, 2018, 38(6):90-93, 122.
• [14]Wang Z B, Yang H J, Wang D H. Response of height growth of regenerating trees in a Pinus tabulaeformis Carr. plantation to different thinning intensities[J]. Forest Ecology and Management, 2019, 444:280-289.
• [15]Ishii H, McDowell N. Age-related development of crown structure in coastal Douglas-fir trees[J]. Forest Ecology and Management, 2002, 169(3):257-270.
• [16]Weiskittel A R, Seymour R S, Hofmeyer P V, et al. Modelling primary branch frequency and size for five conifer species in Maine, USA[J]. Forest Ecology and Management, 2010, 259(10):1912-1921.
• [17]Hein S, M?Kinen H. Modelling branch characteristics of Norway spruce from wide spacings in Germany[J]. Forest Ecology and Management, 2007, 242(2-3):155-164.
• [18]Hein S, Weiskittel A R, Kohnle U. Branch characteristics of widely spaced Douglas-fir in south-western Germany:comparisons of modelling approaches and geographic regions[J].Forest Ecology and Management, 2008, 256(5):1064-1079.
• [19]郭孝玉.长白落叶松人工林树冠结构及生长模型研究[D].北京:北京林业大学, 2013.Guo X Y. Crown structure and growth modle for Larix algersis plantation[D]. Beijing:Beijing Forestry University, 2013.
• [20]苗铮,董利虎,李凤日,等.基于GLMM的人工林红松二级枝条分布数量模拟[J].南京林业大学学报(自然科学版), 2017,41(4):121-128.Miao Z, Dong L H, Li F R, et al. Modelling the vertical variation in the number of second order branches of Pinus koraiensis plantation trees through GLMM[J]. Journal of Nanjing Forestry University(Natural Sciences Edition), 2017, 41(4):121-128.
• [21]王曼霖,董利虎,李凤日.基于Possion回归混合效应模型的长白落叶松一级枝数量模拟[J].北京林业大学学报, 2017, 39(11):45-55.Wang M L, Dong L H, Li F R. First-order branch number simulation for Larix olgensis plantation through Poisson regression mixed effect model[J]. Journal of Beijing Forestry University, 2017, 39(11):45-55.
• [22]Weiskittel A R, Maguire D A, Monserud R A. Response of branch growth and mortality to silvicultural treatments in coastal Douglas-fir plantations:implications for predicting tree growth[J]. Forest Ecology and Management, 2007, 251(3):182-194.
• [23]王烁.基于GLMM的人工长白落叶松枝条存活模型研究[D].哈尔滨:东北林业大学, 2018.Wang S. Branch survival models of planted Larix olgensis tree based on generalized linear mixed model[D]. Harbin:Northeast Forestry University, 2018.
• [24]Andreassen K, Tomte S M. Basal area growth models for individual trees of Norway spruce, Scots pine, birch and other broadleaves in Norway[J]. Forest Ecology and Management,2003, 180:11-24.
• [25]Fang Z, Bailey R L. Nonlinear mixed effects modeling for slash pine dominant height growth following intensive silvicultural treatments[J]. Forest Science, 2001, 47:287-300.
• [26]祖笑锋,倪成才, Gorden Nigh,等.基于混合效应模型及EBLUP预测美国黄松林分优势木树高生长过程[J].林业科学, 2015,51(3):25-33.Zu X F, Ni C C, Gorden N, et al. Based on Mixed-Effects model and empirical best linear unbiased predictor to predict growth profile of dominant height[J]. Scientia Silvae Sinicae, 2015,51(3):25-33.
• [27]Weiskittel A R, Maguire D A, Monserud R A. Modeling crown structural responses to competing vegetation control, thinning,fertilization, and Swiss needle cast in coastal Douglas-fir of the Pacific Northwest, USA[J]. Forest Ecology and Management,245(1–3):96–109.
• [28]Thorpe H C, Astrup R, Trowbridge A, et al. Competition and tree crowns:a neighborhood analysis of three boreal tree species[J].Forest Ecology&Management, 2010, 259(8):1586-1596.
• [29]Sattler D F, Comeau P G, Achim A. Branch models for white spruce(Picea glauca(Moench)Voss)in naturally regenerated stands[J]. Forest Ecology&Management, 2014, 325:74-89.
• [30]Sprugel D G. When branch autonomy fails:Milton’s law of resource availability and allocation[J]. Tree Phys, 2002, 22:1119-1124.