【目的】红松和长白落叶松是黑龙江省主要的造林树种,构建两个针叶树树冠外部轮廓预估模型,为进一步科学合理地经营人工林提供参考。【方法】采用黑龙江省红松和长白落叶松人工林中各50株解析木的枝条解析数据,以分段抛物线方程、修正Kozak和Weibull方程为基础模型,构建以样木为单一水平树冠外部轮廓的非线性混合效应模型,并对两树种的树冠轮廓进行比较。【结果】两树种树冠外部轮廓的分段抛物线预估模型包含的变量均为DBH(胸径)、CL(冠长)、CR(冠长率)、HD(高径比),修正Kozak和Weibull预估模型包含的变量为DBH、CR、HD。加入混合效应后,各模型的拟合效果较基础模型均有所提高。修正Weibull方程对红松和长白落叶松的拟合效果最好,但与分段抛物线和Kozak方程之间的差别不是很大。对于红松,分段抛物线方程预估的树冠半径在靠近树冠基部要低于修正的Kozak方程和修正的Weibull方程; 对于长白落叶松,各模型之间的拟合效果差别较小。【结论】分段抛物线方程、修正Kozak和Weibull方程均能够对黑龙江省红松和长白落叶松人工林树冠外部轮廓进行比较准确的模拟。修正Kozak方程和Weibull方程包含的树木变量较少,参数估计相对简单,容易通过积分计算树冠体积及表面积。
Abstract
Abstract: 【Objective】The Pinus koraiensis Sieb. et Zucc(Korean pine)and Larix olgensis Henry(Olgan larch)are the main afforesting tree species in Heilongjiang Province. Developing outer crown profile models for the two tree species will provide references for forest management of plantations. 【Methods】The branches from 50 trees of planted Korean pine and Olgan larches were used. The segmented polynomial equation, modified Kozak equation, and modified Weibull equation were used as the basic model, and a nonlinear mixed-effects model at the tree level was developed. The crown profiles of the two tree species were compared. 【Results】For both tree species, the segmented polynomial predicted model, included diameter at breast height(DBH), crown length(CL), crown ratio(CR), and height to diameter ratio(HD), the modified Kozak predicted model included DBH, CR and HD, and the modified Weibull predicted model included DBH, CR and HD. By including mixed-effects into the models, the goodness of fit for all the models was improved compared with the basic models. The modified Weibull equation performed best for both Korean pine and Olgan larch. However, there was not a large difference between the modified Kozak equation, Weibull equation, and the segmented polynomial equation. As for the Korean pine, the crown radius of the lower crown estimated by the segmented polynomial predicted model was lower than that of the modified Kozak and Weibull equation, whereas the differences between the three models for the Olgan larch were relatively less. 【Conclusion】 The segmented polynomial equation, modified Kozak, and modified Weibull equation performed well in crown profile modeling with high accuracy. Fewer variables were included in the modified Kozak equation and modified Weibull equation than the segmented polynomial equation. The parameter estimation for the modified Kozak and Weibull equation were also stable, and the crown volume and surface area were easy to calculate by integration.
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参考文献
[1] GILL S J, BIGING G S. Autoregressive moving average models of crown profiles[J]. Ecological Modelling, 2002, 152: 213-226.
[2] SOTO-CERVANTES J A, LÓPEZ-SÁNCHEZ C A, CORRAL-RIVASJ J. Development of crown profile models for Pinus cooperi Blanco in the UMAFOR 1008, Durango, México[J]. Revista Chapingo Serie Ciencias Forestales y del Ambiente, 2016, 22(2): 179-192. DOI: 10.5154/r.rchscfa.2015.09.040.
[3] ATTOCCHI G, SKOVSGAARD J P. Crown radius of pedunculate oak(Quercus robur L.)depending on stem size, stand density and site productivity[J]. Scandinavian Journal of Forest Research, 2015, 30(4): 289-303. DOI: org/10.1080/02827581.201.
[4] LI F R. Modeling crown profile of Larix olgensis trees[J]. Scientia Silvae Sinicae,2004, 40(5): 16-24.
[5] HATCH C R, GERRARD D J, TAPPEINER II J C. Exposed crown surface area: a mathematical index of individual tree growth potential[J]. Canadian Journal of Forest Research, 1975, 5(2): 224-228. DOI:10.1139/x75-030.
[6] HONER T G. Crown shape in open-and forest-grown balsam fir and black spruce[J]. Canadian Journal of Forest Research, 1971(1): 203-207.
[7] CRECENTE-CAMPO F, ÁLVAREZ-GONZÁLEZ J G, CASTEDO-DORADO F, et al. Development of crown profile models for Pinus pinaster Ait. and Pinus sylvestris L. in northwestern Spain[J]. Forestry, 2013, 86: 481-491. DOI:10.1093/forestry/cpt019.
[8] RAULIER F, UNG C H, OUELLET D. Influence of social status on crown geometry and volume increment in regular and irregular black spruce stands[J]. Canadian Journal of Forest Research, 1996, 26(10): 1742-1753. DOI:10.1139/x26-198.
[9] HANN D W. A adjustable predictor of crown profile for stand-growth Douglas-fir trees[J]. Forest Science, 1999, 45(2): 217-225.
[10] CRECENTE-CAMPO F, MARSHALL P, LEMAY V, et al. A crown profile model for Pinus radiata D. Don in northwestern Spain[J]. Forest Ecology and Management, 2009, 257(12): 2370-2379. DOI:10.1016/j.foreco.2009.03.038.
[11] RAUTIAINEN M, STENBERG P. Simplified tree crown model using standard forest mensuration data for Scots pine[J]. Agricultural and Forest Meteorology, 2005, 128(1): 123-129.DOI:10.1016/j.agrformet.2004.09.002.
[12] 卢军. 帽儿山天然次生林树冠结构和空间优化经营[D]. 哈尔滨:东北林业大学, 2008.
LU J. Crown structure and optimal spatial management for secondary forest in Maoershan Mountain[D]. Harbin: Northeast Forestry University, 2008.
[13] HANN D W, BLUHM A A, HIBBS D E. Development and evaluation of the tree-level equations and their combined stand-level behavior in the Red Alder Plantation Version of ORGANON[EB/OL].(2001-01)
[2017-02].http://www.research gate.net/puslication/259496044.
[14] 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. DOI:10.13332 /j.cnki.jbfu.2015.02.007.
GUO Y R, WU B G, ZHENG X X, et al. Simulation model of crown profile for Chinese fir(Cunninghamia lanceolata)indifferent age groups[J]. Journal of Beijing Forestry University, 2015, 37(2): 40-47.
[15] DONG C, WU B, WANG C,et al. Study on crown profile models for Chinese fir(Cunninghamia lanceolata)in Fujian Province and its visualization simulation[J]. Scandinavian Journal of Forest Research, 2015, 31: 302-313. DOI:10.1080/02827581.2015.1081982.
[16] BALDWIN V C, PETERSON K D. Predicting the crown shape of loblolly pine trees[J]. Canadian Journal of Forest Research, 1997, 27(1): 102-107. DOI:10.1139/cjfr-27-1-102.
[17] 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. DOI: 10.13332/j.1000-1522.20140324.
GAO H L, LI F R, DONG L H. Crown-shape model of a Pinus koraiensis plantation in northeastern China[J]. Journal of Beijing Forestry University, 2015, 37(3): 76-83.
[18] KOZAK A. A variable-exponent taper equation[J]. Canadian Journal of Forest Research, 1988, 18(11): 1363-1368. DOI:10.1139/x88-213.
[19] KOZAK A. My last words on taper equations[J]. The Forestry Chronicle, 2004, 80(4): 507-515. DOI:10.5558/tfc80507-4.
[20] 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: 1912-1921. DOI:10.1016/j.foreco.2010.01.052.
[21] FERRARESE J, AFFLECK D, SEIELSTAD C. Conifer crown profile models from terrestrial laser scanning[J]. Silva Fennica, 2015, 49(1):230-239. DOI:10.14214/sf.1106.
[22] MARSHALL D D, JOHNSON G P, HANN D W. Crown profile equations for stand-grown western hemlock trees in northwestern Oregon[J]. Canadian Journal of Forest Research, 2003, 33(11): 2059-2066. DOI:10.1139/x03-126.
[23] TIMOTHY M A, HAROLD B E. Segmented polynomial regression applied to taper equations[J]. Forest Science, 1976(3): 283-289.
[24] 高慧淋,董利虎,李凤日. 基于混合效应的人工落叶松树冠轮廓模型[J]. 林业科学, 2017, 53(3): 84-93. DOI: 10.11707 /j.1001-7488.20170310.
GAO H L, DONG L H,LI F R. Crown shape model for Larix olgensis plantation based on mixed effect[J]. Scientia Silvae Sinicae, 2017, 53(3): 84-93.
基金
基金项目:国家自然科学基金项目(31570626); “十三五”国家科技支撑计划(2015BAD09B01)
第一作者:高慧淋(ghl_2007@126.com),博士生。*通信作者:李凤日(fengrili@126.com),教授,博士。
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