[1] 高慧淋, 董利虎, 李凤日.黑龙江省红松和长白落叶松人工林树冠外部轮廓模拟[J].南京林业大学学报(自然科学版), 2018, 42(3): 10 - 18.

GAO Huilin, DONG Lihu, LI Fengri. Modelling outer crown profile for planted Pinus koraiensis and Larix olgensis trees in Heilongjiang Province, China[J]. J Nanjing For Univ Nat Sci Ed, 2018, 42(3): 10 - 18.
[2] 罗永开, 方精云, 胡会峰.山西芦芽山14种常见灌木生物量模型及生物量分配[J].植物生态学报, 2017, 41(1): 115 - 125.

LUO Yongkai, FANG Jingyun, HU Huifeng. Biomass estimation models and allocation patterns of 14 shrub species in Mountain Luya, Shanxi, China[J]. Chin J Plant Ecol, 2017, 41(1): 115 - 125.
[3]

MOHREN G M J. Simulation of Forest Growth, Applied to Douglas Fir Stands in the Netherlands [D]. Wageningen: Wageningen University&Research, Mohren, 1987.
[4]

MARSHALL D D, JOHNSON G P, HANN D W. Crown profile equations for stand-grown western hemlock trees in north[J]. Can J For Res, 2003, 33(11): 2059 - 2066.
[5]

NEPAL S K. Crown Shape Modeling for Loblolly Pine: A Frontier Approach[D]. Auburn: Auburn University, 1993.
[6]

HAN Yanyun, WU Baoguo, WANG Kaiyi, et al. Individual-tree form growth models of visualization simulation for managed Larix principis-rupprechtii plantation[J]. Comput Electronics Agric, 2016, 123: 341 - 350.
[7]

PRETZSCH H, BIBER P, ĎURSKÝ J. The single tree-based stand simulator SILVA: construction, application and evaluation[J]. For Ecol Manage, 2002, 162(1): 3 - 21.
[8]

SADONO R. Crown shape development of perhutani's teak plus from conal seed orchards in Madiun, Saradan, and Ngawi Forest District, East Java, Indonesia[J]. Adv Environ Biol, 2015, 9(18): 212 - 221.
[9] 杜娟, 范志霞, 叶顶英, 等.楠木人工林树冠体积与叶面积指数预估模型的研究[J].浙江林业科技, 2010, 30(4): 37 - 41.

DU Juan, FAN Zhixia, YE Dingying, et al. The predicting models of crown volume and LAI for Phoebe zhennan plantation[J]. J Zhejiang For Sci Technol, 2010, 30(4): 37 - 41.
[10] 廖彩霞, 李凤日.樟子松人工林树冠表面积及体积预估模型的研究[J].植物研究, 2016, 27(4): 478 - 483.

LIAO Caixia, LI Fengri. The predicting model of crown surface area and crown volume for Mongolia pine plantation[J]. Bull Bot Res, 2016, 27(4): 478 - 483.
[11] 涂宏涛, 孙玉军, 吴明钦, 等.杉木人工林树冠表面积及体积模型的研究[J].中南林业科技大学学报, 2015, 35(9): 88 - 92, 103.

TU Hongtao, SUN Yujun, WU Mingqin, et al. Predicting models of crown surface area and crown volume for Cunninghamia lanceolata plantation[J]. J Cent South Univ For Technol, 2015, 35(9): 88 - 92, 103.
[12] 吴明钦, 孙玉军, 郭孝玉, 等.长白落叶松树冠体积和表面积模型[J].东北林业大学学报, 2014, 42(5): 1 - 5.

WU Mingqin, SUN Yujun, GUO Xiaoyu, et al. Predictive models of crown volume and crown surface area for Korean larch[J]. J Northeast For Univ, 2014, 42(5): 1 - 5.
[13]

RAUTIAINEN M, MÕTTUS M, STENBERG P T, et al. Crown envelope shape measurements and models[J]. Silv Fennica, 2008, 42(1): 19 - 33.
[14]

CADORI C C, SANQUETTA C R, NETTO S P, et al. Analytical approaches for modeling tree crown volume in black wattle (Acacia mearnsii De Wild.) stands[J]. Afr J Agric Res, 2016, 11(49): 4979 - 4989.
[15] 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 Fengri. Modeling crown profile of Larix olgensis trees[J]. Sci Silv Sin, 2004, 40(5): 16 - 24.
[16]

LI Fengri, LIU Zhaogang, SUN Jingbo. Models for crown structure of larch plantation[J]. J For Res, 1995, 6(1): 6 - 11.
[17]

GILMORE D W, SEYMOUR R S. Crown architecture of Abies balsamea from four canopy positions[J]. Tree Physiol, 1997, 17(2): 71 - 80.
[18] 姜立春, 潘莹, 李耀翔.兴安落叶松枝条特征联立方程组模型及树冠形状模拟[J].北京林业大学学报, 2016, 38(6): 1 - 7.

JIANG Lichun, PAN Ying, LI Yaoxiang. Model systems of branch characteristics and crown profile simulation for Larix gmelinii[J]. J Beijing For Univ, 2016, 38(6): 1 - 7.
[19]

FERNÁNDEZ-SARRÍA A, MARTÍNEZ L, VELÁZQUEZ-MARTÍ B, et al. Different methodologies for calculating crown volumes of Platanus hispanica trees using terrestrial laser scanner and a comparison with classical dendrometric measurements[J]. Comput Electronics Agric, 2013, 90: 176 - 185.
[20]

KORHONEN L, VAUHKONEN J, VIROLAINEN A, et al. Estimation of tree crown volume from airborne lidar data using computational geometry[J]. Int J Remote Sensing, 2013, 34(20): 7236 - 7248.
[21]

STRÎMBU V F, STRÎMBU B M. A graph-based segmentation algorithm for tree crown extraction using airborne LiDAR data[J]. ISPRS J Photogramm Remote Sensing, 2015, 104: 30 - 43.
[22]

BALDWIN V C, Jr PETERSON K D. Predicting the crown shape of loblolly pine trees[J]. Can J For Res, 1997, 27(1): 102 - 107.
[23] 郭艳荣, 吴保国, 郑小贤, 等.杉木不同龄组树冠形态模拟模型研究[J].北京林业大学学报, 2015, 37(2): 40 - 47.

GUO Yanrong, WU Baoguo, ZHENG Xiaoxian, et al. Simulation model of crown profile for Chinese fir (Cunninghamia lanceolata) in different age groups[J]. J Beijing For Univ, 2015, 37(2): 40 - 47.
[24]

FERRARESE J, AFFLECK D, SEIELSTAD C. Conifer crown profile models from terrestrial laser scanning[J]. Silv Fenn, 2015, 49(1): 1106. doi: 10.14214/sf.1106.
[25] 高慧淋, 李凤日, 董利虎.基于分段回归的人工红松冠形预估模型[J].北京林业大学学报, 2015, 37(3): 76 - 83.

GAO Huilin, LI Fengri, DONG Lihu. Crown-shape model of a Pinus koraiensis plantation in northeastern China[J]. J Beijing For Univ, 2015, 37(3): 76 - 83.
[26] 金哲根, 宋德年, 张彦相.浅析树冠结构模型[J].林业勘查设计, 1996(1): 46 - 47.

JIN Zhegen, SONG Denian, ZHANG Yanxiang. A brief analysis of crown structure model[J]. For Invest Des, 1996 (1): 46 - 47.
[27] 李彦强, 朱祺, 孙小艳, 等.基于SketchUp模拟亚美马褂木树冠及参数估算[J].黑龙江农业科学, 2015(5): 134 - 137.

LI Yanqiang, ZHU Qi, SUN Xiaoyan, et al. Simulation and estimation on tree crown of Liriodenron sino-americanum based on SketchUp[J]. Heilongjiang Agric Sci, 2015(5): 134 - 137.
[28] 戴超.北京主要树种树冠体积及表面积估测模型研究[D].唐山: 华北理工大学, 2015.

DAI Chao. The Predicting Models of Crown Volume and Crown Surface Area about Main Species of Tree of Beijing[D]. Tangshan: North China University of Science and Technology, 2015.
[29] 姜立春, 李凤日, 刘瑞龙.兴安落叶松树干削度和材积相容模型[J].北京林业大学学报, 2011, 33(5): 1 - 7.

JIANG Lichun, LI Fengri, LIU Ruilong. Compatible stem taper and volume models for dahurian larch[J]. J Beijing For Univ, 2011, 33(5): 1 - 7.
[30]

BIGING G S. Taper equations for second-growth mixed conifers of Northern California[J]. For Sci, 1984, 30(4): 1103 - 1117.