闽楠天然次生林直径分布模拟研究
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摘要
以闽楠天然次生林作为研究对象,通过标准地调查获取数据,利用Weibull分布、正态分布、对数正态分布、Г分布和β分布等5种概率密度函数对其直径分布规律进行分析,采用χ2法检验拟合效果,并以其最优分布函数建立参数预估模型。结果表明:(1)直径分布主要为反J型或正偏山状曲线形式,其最优直径分布函数为Weibull分布,接受率为81.3%;(2)Weibull分布预估尺度参数(b)模型的R2为0.996 6,形状参数(c)模型的R2为0.791 5,经检验其预估模型的通过率为100%。研究结果可为闽楠天然次生林相关经营数表的编制及科学经营管理等提供参考依据。
Based on the data of sample plot investigation,the diameter distribution law of natural second?ary Phoebe bournei forest was analyzed by five kinds of probability density functions' namely,Weibull distribu?tion,normal distribution,lognormal distribution,gamma distribution and beta distribution.The five diameter dis?tribution functions were tested through χ2 test.And the parameter estimation model was established by its opti?mal distribution function.The results showed that:(1)the diameter distribution curve was mainly inverse Jshape or positively skewed;the optimal diameter distribution function was Weibull distribution,whose accep?tance rate was 81.3%;(2)the R2 of Weibull distribution prediction scale parameter(b)model and shape param?eter(c)model were 0.996 6 and 0.791 5,respectively,and the passing rate of the prediction model was 100%.The study results can provide a reference for the establishment of related management tables and scientific man?agement of natural secondary Phoebe bournei forest.
Based on the data of sample plot investigation,the diameter distribution law of natural second?ary Phoebe bournei forest was analyzed by five kinds of probability density functions' namely,Weibull distribu?tion,normal distribution,lognormal distribution,gamma distribution and beta distribution.The five diameter dis?tribution functions were tested through χ2 test.And the parameter estimation model was established by its opti?mal distribution function.The results showed that:(1)the diameter distribution curve was mainly inverse Jshape or positively skewed;the optimal diameter distribution function was Weibull distribution,whose accep?tance rate was 81.3%;(2)the R2 of Weibull distribution prediction scale parameter(b)model and shape param?eter(c)model were 0.996 6 and 0.791 5,respectively,and the passing rate of the prediction model was 100%.The study results can provide a reference for the establishment of related management tables and scientific man?agement of natural secondary Phoebe bournei forest.
引文
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[15]张宁,张怀清,林辉,等.基于竞争指数的杉木林分生长可视化模拟研究[J].林业科学研究,2013,26(6):692-697.Zhang N,Zhang H Q,Lin H,et al.Visual simulation of growth process in Cunninghamia lanceolata based on competition index[J].Forest Research,2013,26(6):692-697.
[16]李雪云,潘萍,臧颢,等.闽楠天然次生林自然更新的影响因子研究[J].林业科学研究,2017,30(5):701-708.Li X Y,Pan P,Zang H,et al.Study on factors affecting natural regeneration of natural secondary Phoebe bournei forest[J].Forest Research,2017,30(5):701-708.
[17]江香梅,肖复明,叶金山,等.闽楠天然林与人工林生长特性研究[J].江西农业大学学报,2009,31(6):1049-1054.Jiang X M,Xiao F M,Ye J S,et al.A study on the growth characteristics of Phoebe bournei in natural forest and plantation stands[J].Acta Agriculturae Universitatis Jiangxiensis,2009,31(6):1049-1054.
[18]Burkhart H E,ToméM.Modeling forest trees and stands[M].Springer Netherlands,2012.
[19]Kaitaniemi P,Lintunen A.Neighbor identity and competition influence tree growth in Scots pine,Siberian larch,and silver birch[J].Annals of Forest Science,2010,67(6):604-604.
[20]庄崇洋,黄清麟,马志波,等.典型中亚热带天然阔叶林各林层直径分布及其变化规律[J].林业科学,2017,53(4):18-27.Zhuang C Y,Huang Q L,Ma Z B,et al.Diameter distribution in each storey and law of typical natural broad-leaved forest in mid-subtropical zone[J].Scientia Silvae Sinicae,2017,53(4):18-27.
[21]肖化顺,刘玉,刘发林.东北林区臭松次生林直径结构规律研究[J].林业资源管理,2014,(2):83-86,114.Xiao H S,Liu Y,Liu F L.Study on diameter structure of secondary forest of Adiessibirica Ledeb in the northeast forest area[J].Forest Resources Management,2014,(2):83-86,114.
[22]肖智慧,李志洪,薛春泉,等.梅县典型针阔混交林林分直径结构的动态变化规律[J].中南林业科技大学学报,2013,33(6):17-21.Xiao Z H,Li Z H,Xue C Q,et al.Diameter distribution and dynamics of typical coniferous and broadleaved mixed forests in Meizhou County,Guangdong Province[J].Journal of Central South University of Forestry&Technology,2013,33(6):17-21.
[23]张峰,石军南,张丹华,等.巴东县人工针叶同龄混交林直径分布拟合研究[J].中南林业科技大学学报,2013,33(9):38-41.Zhang F,Shi J N,Zhang D H,et al.Fitting of diameter distribution of even-aged mixed conifers plantation in Badong County[J].Journal of Central South University of Forestry&Technology,2013,33(9):38-41.
[24]王蒙,李凤日.基于抚育间伐效应的落叶松人工林直径分布动态模拟[J].应用生态学报,2016,27(8):2429-2437.Wang M,Li F R.Modeling the diameter distribution of Larix olgensis plantation based on thinning effects[J].Chinese Journal of Applied Ecology,2016,27(8):2429-2437.
[25]Sheykholeslami A,Pasha K,Kia L A.A study of tree distribution in diameter classes in natural forests of Iran(case study:Liresara forest)[J].Annals of Biological Research,2011,2(5):283-290.
[2]Diamantopoulou M J,?z?elik R,Crecente-Campo F,et al.Estimation of Weibull function parameters for modelling tree diameter distribution using least squares and artificial neural networks methods[J].Biosystems Engineering,2015,133:33-45.
[3]孟宪宇.测树学[M].北京:中国林业出版社,2006.Meng X Y.Forest mensuration[M].Beijing:China Forestry Publishing House,2006.
[4]巢林,洪滔,林卓,等.中亚热带杉阔混交林直径分布研究[J].中南林业科技大学学报,2014,34(9):31-37.Chao L,Hong T,Lin Z,et al.Study on diameter distribution of Chinese fir and broad-leaved forest in mid-subtropical[J].Journal of Central South University of Forestry&Technology,2014,34(9):31-37.
[5]Kangas A,Maltamo M.Performance of percentile based diameter distribution prediction and Weibull method in independent data sets[J].Silva Fennica,2015,34(4):381-398.
[6]Mateus A,ToméM.Modelling the diameter distribution of eucalyptus plantations with Johnson’s S,B,probability density function:parameters recovery from a compatible system of equations to predict stand variables[J].Annals of Forest Science,2011,68(2):325-335.
[7]Martinek M,Nesser H J,Aichinger J,et al.The use of quantile trees in the prediction of the diameter distribution of a stand[J].Silva Fennica,2015,40(3):501-516.
[8]Kangas A,Maltamo M.Performance of percentile based diameter distribution prediction and Weibull method in independent data sets[J].Silva Fennica,2015,34(4):381-398.
[9]Gul A U,Misir M,Misir N,et al.Calculation of uneven-aged stand structures with the negative exponential diameter distribution and Sterba’s modified competition density rule[J].Forest Ecology and Management,2005,214(1/3):212-220.
[10]Sghaier T,Tome M,Tome J,et al.Distance-independent individual tree diameter-increment model for Thuya[Tetraclinis articulata(Vahl.)Mast.]stands in Tunisia[J].Forest Systems,2013,22(3):433-441.
[11]刘宝,陈存及,林思祖,等.不同密度闽楠苗木地上部分与地下部分竞争的定量研究[J].福建林学院学报,2013,33(2):119-123.Liu B,Chen C J,Lin S Z,et al.Quantitative study on competition between the underground and aboveground of seedlings of Phoebe bournei in different planting densities[J].Journal of Fujian College of Forestry,2013,33(2):119-123.
[12]邵明晓,文仕知,何功秀,等.不同林龄闽楠人工林生物量结构特征[J].中南林业科技大学学报,2014,34(6):44-48.Shao M X,Wen S Z,He G X,et al.The biomass structure characteristics of P.bournei(Hemsl.)Yang plantation in different ages[J].Journal of Central South University of Forestry&Technology,2014,34(6):44-48.
[13]游晓庆,彭诗涛,郭孝玉,等.闽楠天然次生林林分空间结构研究[J].江西农业大学学报,2016,38(4):660-667.You X Q,Peng S T,Guo X Y,et al.A study on the spatial structure of natural secondary Phoebe bournei forest[J].Acta Agriculturae Universitatis Jiangxiensis,2016,38(4):660-667.
[14]刘宝,陈存及,陈世品,等.福建明溪闽楠天然林群落种间竞争的研究[J].福建林学院学报,2005,25(2):117-120.Liu B,Chen C J,Chen S P,et al.Study on interspecific competition of Phoebe bournei natural forest in Mingxi[J].Journal of Fujian College of Forestry,2005,25(2):117-120.
[15]张宁,张怀清,林辉,等.基于竞争指数的杉木林分生长可视化模拟研究[J].林业科学研究,2013,26(6):692-697.Zhang N,Zhang H Q,Lin H,et al.Visual simulation of growth process in Cunninghamia lanceolata based on competition index[J].Forest Research,2013,26(6):692-697.
[16]李雪云,潘萍,臧颢,等.闽楠天然次生林自然更新的影响因子研究[J].林业科学研究,2017,30(5):701-708.Li X Y,Pan P,Zang H,et al.Study on factors affecting natural regeneration of natural secondary Phoebe bournei forest[J].Forest Research,2017,30(5):701-708.
[17]江香梅,肖复明,叶金山,等.闽楠天然林与人工林生长特性研究[J].江西农业大学学报,2009,31(6):1049-1054.Jiang X M,Xiao F M,Ye J S,et al.A study on the growth characteristics of Phoebe bournei in natural forest and plantation stands[J].Acta Agriculturae Universitatis Jiangxiensis,2009,31(6):1049-1054.
[18]Burkhart H E,ToméM.Modeling forest trees and stands[M].Springer Netherlands,2012.
[19]Kaitaniemi P,Lintunen A.Neighbor identity and competition influence tree growth in Scots pine,Siberian larch,and silver birch[J].Annals of Forest Science,2010,67(6):604-604.
[20]庄崇洋,黄清麟,马志波,等.典型中亚热带天然阔叶林各林层直径分布及其变化规律[J].林业科学,2017,53(4):18-27.Zhuang C Y,Huang Q L,Ma Z B,et al.Diameter distribution in each storey and law of typical natural broad-leaved forest in mid-subtropical zone[J].Scientia Silvae Sinicae,2017,53(4):18-27.
[21]肖化顺,刘玉,刘发林.东北林区臭松次生林直径结构规律研究[J].林业资源管理,2014,(2):83-86,114.Xiao H S,Liu Y,Liu F L.Study on diameter structure of secondary forest of Adiessibirica Ledeb in the northeast forest area[J].Forest Resources Management,2014,(2):83-86,114.
[22]肖智慧,李志洪,薛春泉,等.梅县典型针阔混交林林分直径结构的动态变化规律[J].中南林业科技大学学报,2013,33(6):17-21.Xiao Z H,Li Z H,Xue C Q,et al.Diameter distribution and dynamics of typical coniferous and broadleaved mixed forests in Meizhou County,Guangdong Province[J].Journal of Central South University of Forestry&Technology,2013,33(6):17-21.
[23]张峰,石军南,张丹华,等.巴东县人工针叶同龄混交林直径分布拟合研究[J].中南林业科技大学学报,2013,33(9):38-41.Zhang F,Shi J N,Zhang D H,et al.Fitting of diameter distribution of even-aged mixed conifers plantation in Badong County[J].Journal of Central South University of Forestry&Technology,2013,33(9):38-41.
[24]王蒙,李凤日.基于抚育间伐效应的落叶松人工林直径分布动态模拟[J].应用生态学报,2016,27(8):2429-2437.Wang M,Li F R.Modeling the diameter distribution of Larix olgensis plantation based on thinning effects[J].Chinese Journal of Applied Ecology,2016,27(8):2429-2437.
[25]Sheykholeslami A,Pasha K,Kia L A.A study of tree distribution in diameter classes in natural forests of Iran(case study:Liresara forest)[J].Annals of Biological Research,2011,2(5):283-290.