[1] Newton M, Lachenbruch B, Robbins J M, et al. Branch diameter and longevity linked to plantation spacing and rectangularity in young Douglas-fir[J]. Forest Ecology and Management, 2012, 266: 75-82.
[2] Russell M B, Weiskittel A R, Kershaw A. Assessing model performance in forecasting long-term individual tree diameter versus basal area increment for the primary Acadian tree species[J]. Canadian Journal of Forest Research-Revue Canadienne De Recherche Forestiere, 2011, 41(12): 2267-2275.
[3] 符利勇,孙华. 基于混合模型的杉木单木冠幅预测模型[J]. 林业科学,2013,49(8): 65-74.Fu L Y, Sun H. Individual crown diameter prediction for Cunninghamia lanceolata forests based on mixed effects models[J]. Scientia Silvae Sinicae, 2013,49(8): 65-74.
[4] 王小明,卢军,李凤日. 北方天然次生林主要阔叶树种树冠建模及应用[J]. 南京林业大学学报:自然科学版, 2012, 36(4): 7-12.Wang X M, Lu J, Li F R.Crown profile simulation of major broad-leaf species of natural secondary forest in north of China[J]. Journal of Nanjing Forestry University:Natural Sciences Edition, 2012, 36(4): 7-12.
[5] Mäkinen H, Colin F. Predicting branch angle and branch diameter of scots pine from usual tree measurements and stand structural information[J]. Canadian Journal of Forest Research, 1998, 28(11): 1686-1696.
[6] 李凤日. 长白落叶松人工林树冠形状的模拟[J]. 林业科学, 2004,40(5): 16-24.Li F R.Modeling crown profile of Larix olgensis trees[J]. Scientia Silvae Sinicae, 2004,40(5): 16-24.
[7] 刘兆刚,舒扬,李凤日. 樟子松人工林一级枝条基径和枝长模型的研究[J]. 植物研究, 2008(2): 244-248.Liu Z G, Shu Y, Li F R. Modeling for primary branch length and branch diameter of Mongolian scots pine trees[J]. Bulletin of Botancial Research, 2008(2):244-248.
[8] Hann D W. An adjustable predictor of crown profile for stand-grown Douglas-fir trees[J]. Forest Science, 1999, 45(2):217-225.
[9] 张智昌. 落叶松人工林枝条生长与节子大小预测模型的研究[D]. 哈尔滨:东北林业大学, 2010.Zhang Z C. Predicting models of branch growth and knot properties for Larix in plantation[D]. Harbin: Northeast Forestry University, 2010.
[10] 董灵波,刘兆刚,李凤日,等. 基于线性混合模型的红松人工林一级枝条大小预测模拟[J]. 应用生态学报, 2013(9): 2447-2456.Dong L B, Liu Z G, Li F R, et al. Primary branch size of Pinus koraiensis plantation: A prediction based on linear mixed effect model[J]. Chinese Journal of Applied Ecology, 2013(9):2447-2456.
[11] 姜立春,李凤日,张锐. 基于线性混合模型的落叶松枝条基径模型[J]. 林业科学研究,2012(4): 464-469.Jiang L C, Li F R, Zhang R. Modeling branch diameter with linear mixed effects for Dahurian larch[J]. Forest Research,2012(4): 464-469.
[12] Lindstrom M J, Bates D M. Nonlinear mixed effects models for repeated measures data[J]. Biometrics, 1990, 46: 673-687.
[13] Pinheiro J C, Bates D M. Mixed effects models in S and S-plus[M]. New York: Spring-Verlag, 2000.
[14] Crecente-Campo F, Tome M, Soares P, et al. A generalized nonlinear mixed-effects height-diameter model for Eucalyptus globulus L. in northwestern Spain[J]. Forest Ecology and Management, 2010, 259(5): 943-952.
[15] 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: 210-220.
[16] Meng Q, Cieszewski C J, Madden M, et al. A linear mixed-effects model of biomass and volume of trees using Landsat ETM+images[J]. Forest Ecology and Management, 2007, 244(1-3): 93-101.
[17] 姜立春,张锐,李凤日. 基于线性混合模型的落叶松枝条长度和角度模型[J]. 林业科学, 2012,48(5): 53-60.Jiang L C, Zhang R, Li F R. Modeling branchlength and branch angle with linear mixed effects for Dahurian larch[J]. Scientia Silvae Sinicae, 2012,48(5): 53-60.
[18] 符利勇,李永慈,李春明,等. 利用 2 种非线性混合模型(2 水平)对杉木林胸径生长量的分析[J]. 林业科学,2012, 48(5): 36-43.Fu L Y, Li Y C, Li C M, et al. Analysis of the basal area for Chinese fir plantation using two kinds of nonlinear mixed effects model(two levels)[J]. Scientia Silvae Sinicae, 2012, 48(5): 36-43.
[19] 王春红,李凤日,贾炜玮,等. 基于非线性混合模型的红松人工林枝条生长[J]. 应用生态学报, 2013,24(7): 1945-1952.Wang C H, Li F R, Jia W W, et al. Branch growth of Korean pine plantation based on nonlinear mixed model[J]. Chinese Journal of Applied Ecology,2013,24(7): 1945-1952.
[20] Groot A, Schneider R. Predicting maximum branch diameter from crown dimensions, stand characteristics and tree species[J]. The Forestry Chronicle, 2011, 87(4): 542-551.
[21] Meredieua C, Colinb F, Hervéc J. Modelling branchiness of Corsican pine with mixed-effect models(Pinus nigra Arnold ssp. laricio(Poiret)Maire[J]. Annals of Forest Science, 1998, 55(3): 359-374.
[22] Hein S, M A Kinen H, Yue C, et al. Modelling branch characteristics of Norway spruce from wide spacings in Germany[J]. Forest Ecology and Management, 2007, 242(2): 155-164.
[23] 王妮,彭世揆,刘斌,等. 近10年江苏宿迁森林蓄积量变化的定量遥感监测[J]. 南京林业大学学报:自然科学版, 2013,37(5): 65-69.Wang N, Peng S K, Liu B, et al. A study on detecting the changes of the forest volume of Suqian in Jiangsu based on the quantitative remote sensing during 2000-2010 [J]. Journal of Nanjing Forestry University:Natural Sciences Edition, 2013, 37(5):65-69.
[24] 梁保松,朱景乐,王军辉,等. Pilodyn在华山松活立木木材材性估测中的应用[J]. 南京林业大学学报:自然科学版, 2008,32(6): 97-101.Liang B S, Zhu J L, Wang J H, et al.The application of the Pilodyn to assess wood traits of living trees in Pinus armandii[J]. Journal of Nanjing Forestry University:Natural Sciences Edition, 2008, 32(6): 97-101.
[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(3): 287-300.
[26] Vonesh E, Chinchilli V M. Linear and nonlinear models for the analysis of repeated measurements[M]. New York: Marcel Dekker, 1997.
[27] Castedo Dorado F, Di E Guez-Aranda U, Barrio Anta M, et al. A generalized height—diameter model including random components for radiata pine plantations in northwestern Spain[J]. Forest Ecology and Management, 2006, 229(1): 202-213.
[28] Nigh G. Calculating empirical best linear unbiased predictors(EBLUPs)for nonlinear mixed effects models in Excel/Solver[J]. Forestry Chronicle, 2012, 88(3): 340-344.
[29] 李耀翔,姜立春. 基于2层次线性混合模型的落叶松木材密度模拟[J]. 林业科学, 2013,49(7): 91-98.Li Y X, Jiang L C. Modeling wood density with two-level linear mixed effects models for Dahurian larch[J]. Scientia Silvae Sinicae, 2013,49(7): 91-98.