[1] LI F R. Modeling crown profile of Larix olgensis tree[J]. Scientia Silvae Sinicae, 2004, 40(5): 16-24.
[2] TANABE S I, TODA M J, VINOKUROVA A V. Tree shape, forest structure and diversity of drosophilid community: comparison between boreal and temperate birch forests[J]. Ecological Research, 2001, 16:369-385.
[3] SCOTT J H, REINHARDT E D. Assessing crown fire potential by linking models of surface and crown fire behavior[Z]. Fort Collins: USDA Forest Service Rocky Mountain Research Station, 2001.
[4] JIANG L C, LI F R, ZHANG R. Modeling Branch diameter with linear mixed effects for dahurian larch[J]. Forest Research,2012,25(4):464-469.
[5] LI Y C, TANG S Z, XU S. Relationship between the parameter estimation method of linear measurement error model and the least square method[J]. Journal of Biomathematics, 2008,23(1):139-142.
[6] WILSON J S, OLIVER C D. Stability and density management in Douglas-fir plantations[J]. Canadian Journal of Forest Research, 2000, 30(6): 910-920.
[7] GRACE J C, JARVIS P G, NORMAN J M. Modelling the interception of solar radiant energy in intensively managed stands[J]. New Zealand Journal of Forestry Science, 1987, 17: 193-209.
[8] KERSHAW A, MAGUIRE A. Influence of vertical foliage structure on the distribution of stem cross-sectional area increment in western hemlock and balsam fir[J]. Forest Science, 2000, 46(1): 86-94.
[9] MAGUIRE D A, KERSHAW J A, HANN D W. Predicting the effects of silvicultural regime on branch size and crown wood core in Douglas-fir[J]. Forest Science, 1991, 37(5): 1409-1428.
[10] NEPAL S K , SOMERS G L, CAUDILL S B. A stochastic frontier model for fitting tree crown shape in loblolly pine ( Pinus taeda L.) [J]. Journal of Agricutural, Biological, and Environmental Statistics, 1996, 1: 336-353.
[11] DORUSKA P F, MAYS J E. Crown profile modeling of loblolly pine by nonparametric regression analysis[J]. Forest Science, 1998, 44(3): 445-453.
[12] HANN D W. An adjustable predictor of crown profile for stand-grown Douglas-fir trees[J]. Forest Science, 1999, 45(2): 217-225.
[13] CLUZEAU C, GOFF N L, OTTORINI J M. Development of primary branches and crown profile of Fraxinus excelsior [J]. Canadian Journal of Forest Research, 1994, 24(12): 2315-2323.
[14] ROEH R L, MAGUIRE D A. Crown profile models based on branch attributes in coastal Douglas-fir[J]. Forest Ecology and Management, 1997, 96(1): 77-100.
[15] MÄKINEN H, SONG T. Evaluation of models for branch characteristics of Scots pine in Finland[J]. Forest Ecology and Management, 2002, 158(1): 25-39.
[16] 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.
[17] 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.
[18] 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, 25(4): 464-469.
[19] 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.
[20] FERNÁNDEZ M P, NORERO A. Relation between length and diameter of Pinus radiata branches[J]. Scandinavian Journal of Forest Research, 2006, 21(2): 124-129.
[21] 李永慈, 唐守正, 徐松.线性度量误差模型的参数估计法与最小二乘法的关系[J]. 生物数学学报, 2008, 23(1):139-142.
[22] SATTLER D F, LEMAY V. A system of nonlinear simultaneous equations for crown length and crown radius for the forest dynamics model SORTIE-ND[J]. Canadian Journal of Forest Research, 2011, 41(8):1567-1576.
[23] FERNÁNDEZ M P, NORERO A. Relation between length and diameter of Pinus radiata branches[J]. Scandinavian Journal of Forest Research, 2006, 21(2):124-129.
[24] BEAULIEU E, SCHNEIDER R, BERNINGER F, et al. Modeling jack pine branch characteristics in eastern Canada[J]. Forest Ecology and Management, 2011, 262(9):1748-1757.
[25] 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.
[26] GILMORE D W, SEYMOUR R S. Crown architecture of Abies balsamea from four canopy positions[J]. Tree Physiology, 1997, 17(2): 71-80.
[27] MÄKINEN H. Effect of intertree competition on branch characteristics of Pinus sylvestris families[J]. Scandinavian Journal of Forest Research, 1996, 11(1-4): 129-136.
[28] GARBER S M, MAGUIRE D A. Vertical trends in maximum branch diameter in two mixed-species spacing trials in the central Oregon Cascades[J]. Canadian Journal of Forest Research, 2005, 35(2): 295-307.
[29] 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(1): 96-109.