根据31株解析木数据,利用Logistic方程和4参数的Richards方程拟合了兴安落叶松天然林优势木、平均木和被压木高生长模型,经检验,模型均在0.01水平上显著。对林木年龄(A)、胸径(D)、树高(H)、活枝下高(h1)、死枝下高(h2)进行相关性分析后,发现D、H、h1、h2等在0.01水平上有显著正相关,所拟合的活枝下高和死枝下高的模型在0.01水平上显著。研究表明:Logistic方程较4参数的Richards方程对兴安落叶松高生长的拟合效果好,它们对优势木、平均木和被压木高生长拟合所得模型的R2分别为0.829、0.758、0.807和0.771、0.668、0.824。以Logistic方程对优势木和被压木的拟合效果较对平均木的好。对优势木高生长模型精度检验发现,实测值与理论值无显著差异(p>0.05)。
Abstract
According to the 31 analyzed trees, Logistic and four-parameter Richards equations were used to fit the height growth models of the dominating stems, the average stems and the overtopped stems of natural Larix gmelinii forests. All models were highly significant at 0.01 level. Correlations among the age(A), the DBH(D), the tree height(H), the live height under branches(h1), the dead height under branches(h2)were analyzed and verified that there was a significantly positive correlation among D, H, h1 and h2 at 0.01 level. Live height under branches and dead height under branches significantly fit the model at 0.01 level. Results indicated that Logistic equation was better than the four-parameter Richards equation when fitting the growth, logistic equation was evidenced by their corresponding model determinant coefficients R2 of 0.829, 0.758, 0.807 for the dominating stem, the average stem and the overtopped stem respectively. In contrast, 0.771, 0.668, 0.824 were respectively derived by the four-parameter Richards equation. Obviously, two models were jointly well-performed when fitting the growth of the dominant trees and the overtopped trees compared to the average trees. After test, the measured values and the modeled values in terms of the growth of the dominant trees had statistically no significant difference(p>0.05), which indicated that the established models could be practical.
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参考文献
[1] Gadow K V, Hui G Y. Modeling Forest Growth and Thinning [M]. Goettin-gen:CuvillierVerlag, 1998.
[2] Sloboda B. Zur darstellung von waehstum sprozessen mit hilfe von differential gleiehungen erster ordnung[J].Mitteilungen der Baden-Wuerttembergisehen Forstliehen Versuehs-und Forsehungsanstalt,1971,32:1-109.
[3] 惠刚盈,盛炜彤.Sloboda树高生长模型及其在杉木人工林中的应用[J].林业科学研究,1996,9(1):37-40. Hui G Y, Sheng W T. Sloboda height growth model and its application on Chinese fir plantation [J]. Forest Research,1996,9(1):37-40.
[4] 王丽梅,潘辉,魏建文.Sloboda树高生长模型在火炬松人工林中的应用研究[J].北华大学学报:自然科学版,2004,5(2):159-161. Wang L M, Pan H, Wei J W.Application of Sloboda height growth model on Pinus taeda plantations[J].Journal of Beihua University:Natural Science,2004,5(2):159-161.
[5] 惠刚盈,张连金,胡艳波,等.Richards多形地位指数模型研建新方法—参数置换法[J].林业科学研究,2010,23(4):481-486. Hui G Y, Zhang L J, Hu Y B, et al. A new method for establishing richards polymorphic site index model:parameter replacement[J]. Forest Research, 2010,23(4):481-486.
[6] 刘平,马履一,贾黎明,等.油松人工林单木树高生长模型研究[J].林业资源管理,2008(5):50-56. Liu P, Ma L Y, Jia L M, et al. Study on individual tree height growth model for Pinus tabulaeformis plantation[J]. Forest Resources Management, 2008(5):50-56.
[7] 刘平,王玉涛,马履一,等.油松人工林林分生长过程动态预测及检验[J].东北林业大学学报,2010,38(1):40-43. Liu P, Wang Y T, Ma L Y, et al. Dynamic prediction and verification of growth process of Pinus tabulaeformis plantation in mountainous region of Beijing[J]. Journal of Northeast Forestry University, 2010,38(1):40-43.
[8] 邓红兵,郝占庆,王庆礼,等.红松单木高生长模型的研究[J].生态学杂志,1999,18(3):19-22. Deng H B, Hao Z Q, Wang Q L, et al. Study on height growth model of Pinus koraiensis[J]. Chinese Journal of Ecology, 1999,18(3):19-22.
[9] 蒋建屏,傅军,彭立平,等.天目山西部杉木多形地位指数表的编制[J].南京林业大学学报,1991,15(2):56-60. Jiang J P, Fu J, Peng L P, et al. Preparation of site-index table for Chinese fir in the west tianmu mountain area[J]. Journal of Nanjing Forestry University,1991,15(2):56-60.
[10] 张俊,孙玉军,许俊利.东北地区兴安落叶松人工林生长过程研究[J].西北林学院学报,2008,23(6):179-181. Zhang J, Sun Y J, Xu J L. Research on growing process of Larix gmelinii plantation in northeast of China[J].Journal of Northwest Forestry University, 2008,23(6):179-181.
[11] 罗辑,程根伟,杨忠,等.贡嘎山暗针叶林不同林型的优势木生长动态[J].植物生态学报,2000,24(1):22-26. Luo J, Cheng G W, Yang Z, et al. Growth dynamics of dominant tree species in dark coniferous forests on Gongga Mountain[J]. Acta Phytoecologica Sinica,,2000,24(1):22-26.
[12] 葛剑平,李景文,郭海燕.天然红松树木生长特征与林分结构的研究[J].东北林业大学学报,1992,20(2):9-16. Ge J P, Li J W, Guo H Y. Growth character of the tree and stand constitution in old growth korean pine forest[J]. Journal of Northeast Forestry University, 1992,20(2):9-16.
[13] 玉宝,乌吉斯古楞,王百田,等.兴安落叶松天然林树冠生长特性分析[J].林业科学,2010,46(5):41-48. Yu B,WU Jisiguleng, Wang B T, et al. Analysis of crown growth characteristics in natural Larix gmelinii forests[J]. Scientia Silvae Sinicae, 2010,46(5):41-48.
[14] 玉宝,乌吉斯古楞,王百田,等.大兴安岭兴安落叶松(Larix gmelinii)天然林分级木转换特征[J].生态学报,2008,28(11):5750-5757. Yu B,WU Jisiguleng, Wang B T, et al. Analysis on classified stem transformation characteristic of Larix gmelinii natural forest at Daxingan Mountains[J]. Acta Ecologica Sinica,2008,28(11):5750-5757.
[15] 代全林,陈存及,肖书平,等.茶秆竹高生长模型的比较及组合选择[J].福建林学院学报,2002,22(2):129-132. Dai Q L, Chen C J, Xiao S P, et al. The comparison and combined selection of height growth model for Pseudosasa amabilis McCl.[J]. Journal of Fujian College of Forestry, 2002,22(2):129-132.
[16] 姜立春,杜书立.基于非线性混合模型的东北兴安落叶松树高和直径生长模拟[J].林业科学研究,2012,25(1):11-16. Jiang L C,Du S L. Height and diameter growth modeling of dahurian larch based on nonlinear mixed model in northeastern China[J]. Forest Research, 2012,25(1):11-16.
[17] Fang Z, Bailey R L. Nonlinear mixed effects modeling for slash pine dominant height growth following intensive silvicultural treatments[J].Forest Science, 2001,14(3):287-300.
[18] Calegario N, Daniels R F, Maestri R, et al. Modeling dominant height growth based on nonlinear mixed-effects model:a clonal Eu-calyptus plantation case study[J]. Forest Ecology and Management, 2005,204:11-20.
[19] Nothdurft A, Kublin E, Lappi J. A non-linear hierarchical mixed model to describe tree height growth[J].European Journal Forest Research, 2006, 125:281-289.
[20] 李永慈,唐守正.用Mixed和Nlmixed过程建立混合生长模型[J].林业科学研究,2004,17(3):279-283. Li Y C, Tang S Z.Establishment of tree height growth model based on Mixed and Nlmixed of SAS[J].Forest Research,2004,17(3):279-283.
[21] 李春明,张会儒.利用非线性混合模型模拟杉木林优势木平均高[J].林业科学,2010,46(3):89-95. Li C M, Zhang H R.Modeling dominant height for chinese fir plantation using a nonlinear mixed-effects modeling approach[J]. Scientia Silvae Sinicae, 2010,46(3):89-95.
基金
收稿日期:2012-08-11 修回日期:2012-11-16
基金项目:国家自然科学基金项目(31070566); “十二五”国家科技支撑计划(2012BAD22B0204)
第一作者:马利强,副教授,博士。*通信作者:张秋良,教授,博士。E-mail: zqlemail@vip.sina.com。
引文格式:马利强,玉宝,王立明,等. 兴安落叶松天然林单木高生长模型[J]. 南京林业大学学报:自然科学版,2013,37(2):169-172.
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