[1] Monserud RA, Marshall JD. Allometric crown relations in three northern Idaho conifer species. Canadian Journal of Forest Research, 1999, 29: 521-535 [2] Xiao CW, Janssens IA, Yuste JC, et al. Variation of specific leaf area and upscaling to leaf area index in mature scots pine. Trees, 2006, 20: 304-310 [3] Hammer GL. Estimation of cassava leaf area by a simple, non-destructive field technique. Journal of the Australian Institute of Agricultural Science, 1980, 46: 61-62 [4] Liu ZL, Zhu Y, Jin GZ, et al. Non-destructively predicting leaf area, leaf mass and specific leaf area based on a linear mixed-effect model for broadleaf species. Ecological Indicators, 2017, 78: 340-350 [5] Weiskittel AR, Jr JAK, Hofmeyer PV, et al. Species differences in total and vertical distribution of branch- and tree-level leaf area for the five primary conifer species in Maine, USA. Forest Ecology and Management, 2009, 258: 1695-1703 [6] Diao J (刁 军), Guo H (国 红), Lei X-D (雷相东), et al. Leaf area estimation model and specific leaf area of Chinese pine. Forest Research (林业科学研究), 2013, 26(2): 174-180 (in Chinese) [7] Lv Y (吕 勇), Deng L-B (邓立斌), Zhang X-L (张晓蕾), et al. Forecast models of the area of leaf of single Masson pine tree. Forest Resources Management (林业资源管理), 2005(4): 45-47 (in Chinese) [8] Zellers CE, Saunders MR, Morrissey RC, et al. Develop-ment of allometric leaf area models for intensively mana-ged black walnut (Juglans nigra L.). Annals of Forest Science, 2012, 69: 907-913 [9] Nygren P, Rebottaro S, Chavarría R. Application of the pipe model theory to non-destructive estimation of leaf biomass and leaf area of pruned agroforestry trees. Agroforestry Systems, 1993, 23: 63-77 [10] Kenefic LS, Seymour RS. Leaf area prediction models for Tsuga canadensis in Maine. Canadian Journal of Forest Research, 1999, 29: 1574-1582 [11] Gao H-L (高慧淋), Dong L-H (董利虎), Li F-R (李凤日). Crown shape model for Larix olgensis plantation based on mixed effect. Scientia Silvae Sinicae (林业科学), 2017, 53(3): 84-93 (in Chinese) [12] Baskerville GL. Use of logarithmic regression in the estimation of plant Biomass. Canadian Journal of Forest Research, 1974, 2: 49-53 [13] Zeng W-S (曾伟生), Tang S-Z (唐守正). Bias correction in logarithmic regression and comparison with weighted regression for nonlinear models. Forest Research (林业科学研究), 2011, 24(2): 137-143 (in Chinese) [14] Dong L-H (董利虎), Li F-R (李凤日), Jia W-W (贾炜玮). Linear mixed modeling of branch biomass for korean pine plantation. Chinese Journal of Applied Ecology (应用生态学报), 2013, 24(12): 3391-3398 (in Chinese) [15] Nanos N, Calama R, Montero G, et al. Geostatistical prediction of height diameter models. Forest Ecology and Management, 2004, 195: 221-235 [16] Zu X-F (祖笑锋), Li Q-S (李秋实), Ni C-C (倪成才), et al. Analysis and comparison of combinations among fitting NLME and predictors of random parameters and response variables. Scientia Silvae Sinicae (林业科学), 2016, 52(10): 72-79 (in Chinese) [17] Budhathoki CB, Lynch TB, Guldin JM. Nonlinear mixed modeling of basal area growth for shortleaf pine. Forest Ecology and Management, 2008, 255: 3440-3446 [18] Jiang L, Li Y. Application of nonlinear mixed-effects modeling approach in tree height prediction. Journal of Computers, 2010, 5: 1575-1581 [19] Zang H (臧 颢), Lei X-D (雷相东), Zhang H-R (张会儒), et al. Nonlinear mixed-effects height-diameter model of Pinus koraiensis. Journal of Beijing Forestry University (北京林业大学学报), 2016, 38(6): 8-16 (in Chinese) [20] Wang C-H (王春红), Li F-R (李凤日), Jia W-W (贾炜玮), et al. Branch growth of Korean pine plantation based on nonlinear mixed model. Chinese Journal of Applied Ecology (应用生态学报), 2013, 24(7): 171-178 (in Chinese) [21] Miao Z (苗 铮), Dong L-H (董利虎), Li F-R (李凤日), et al. Modelling the vertical variation in the number of second order branches of Pinus koraiensis plantation trees through GLMM. Journal of Nanjing Fore-stry University (Natural Sciences)(南京林业大学学报:自然科学版), 2017, 41(4):121-128 (in Chinese) [22] Nelson AS, Weiskittel AR, Wagner RG. Development of branch, crown, and vertical distribution leaf area models for contrasting hardwood species in Maine, USA. Trees, 2014, 28: 17-30 [23] Li F-R (李凤日). Modeling crown profile of Larix olgensis trees. Scientia Silvae Sinicae (林业科学), 2004, 40(5): 16-24 (in Chinese) [24] Ni C, Nigh GD. An analysis and comparison of predictors of random parameters demonstrated on planted loblolly pine diameter growth prediction. Forestry, 2012, 85: 271-280 [25] Maguire DA, Bennett WS. Patterns in vertical distribution of foliage in young coastal Douglas-fir. Canadian Journal of Forest Research, 1996, 26: 1991-2005 [26] Wu Y-D (吴玉德), Zhang P (张 鹏). The method for determining the leaf area of trees in view of Mapinfo. Forest Inventory and Planning (林业调查规划), 2005, 30(6): 23-25 (in Chinese) |