河南省栎类和杨树林分断面积和蓄积生长模型构建
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摘要
【目的】建立河南省栎类和杨树林分断面积和蓄积生长模型,为森林可持续经营提供基础数据。【方法】基于河南省最近3期一类森林资源清查数据,从9个具有生物学意义的备选模型中选出一个最优基础模型。以树种和立地等级作为哑变量,构建林分断面积和蓄积生长模型。【结果】利用全部样地数据拟合9个备选模型,断面积和蓄积最优生长模型都是Richards形式的模型,决定系数均在0.92以上。引入树种和立地等级作为哑变量后,与基础模型相比断面积和蓄积生长模型拟合精度都有所提高,其决定系数分别为0.98和0.94。【结论】带树种和立地等级的哑变量模型能同时反映河南省栎类和杨树林分断面积和蓄积生长规律,既减少了建模工作量,又提供了不同林分合并建模的方法。河南省栎类林分断面积和蓄积生长极限值高于杨树;相同林分密度条件下,栎类早期生长速率低于杨树,且栎类和杨树的生长速率均随着立地质量的下降而降低。
[Objective] Developing the stand basal area and volume growth model for Quercus and Populus in Henan Province of central China was technical data support for forest sustainable management.[Method] Based on the latest three data of national forest inventory in Henan Province, an optimal basic model was selected from 9 candidate models with biological significance. Taking account of the disturbance from species and site class, the stand basal area and volume growth model with dummy variable was constructed. [Result] The optimal models of 9 alternative models fitted to the total data were the form of Richards, whose coefficients of determination were all above 0.92. The fitting precision of the stand basal area and volume growth model with species and site class as dummy variable, whose coefficients of determination were 0.98, 0.94, respectively, was enhanced distinctly compared with basic model.[Conclusion] The growth pattern of stand basal and volume for Quercus and Populus in Henan Province was described by the model with species and site class as dummy variable, which reduced the workload of computation, and also provided a method for integrating different forest stand. The limit values of stand basal area and volume for Quercus were higher than those for Populus, but were reversed in growth rate with the same stand density. Furthermore, the growth rates of stand basal area and volume with the same stand density for Quercus and Populus were both decreased with the decrease of site quality.
[Objective] Developing the stand basal area and volume growth model for Quercus and Populus in Henan Province of central China was technical data support for forest sustainable management.[Method] Based on the latest three data of national forest inventory in Henan Province, an optimal basic model was selected from 9 candidate models with biological significance. Taking account of the disturbance from species and site class, the stand basal area and volume growth model with dummy variable was constructed. [Result] The optimal models of 9 alternative models fitted to the total data were the form of Richards, whose coefficients of determination were all above 0.92. The fitting precision of the stand basal area and volume growth model with species and site class as dummy variable, whose coefficients of determination were 0.98, 0.94, respectively, was enhanced distinctly compared with basic model.[Conclusion] The growth pattern of stand basal and volume for Quercus and Populus in Henan Province was described by the model with species and site class as dummy variable, which reduced the workload of computation, and also provided a method for integrating different forest stand. The limit values of stand basal area and volume for Quercus were higher than those for Populus, but were reversed in growth rate with the same stand density. Furthermore, the growth rates of stand basal area and volume with the same stand density for Quercus and Populus were both decreased with the decrease of site quality.
引文
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[16]雷相东,符利勇,李海奎,等.基于林分潜在生长量的立地质量评价方法与应用[J].林业科学,2018,54(12):116-126.Lei X D,Fu L Y,Li H K,et al.Methodology and applications of site quality assessment based on potential mean annual increment[J].Scientia Silvae Sinicae,2018,54(12):116-126.
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[2]Fu L,Sharma R P,Zhu G,et al.A basal area increment-based approach of site productivity evaluation for multi-aged and mixed forests[J].Forests,2017,8(4):1-18.
[3]王冬至,张冬燕,张志东,等.塞罕坝华北落叶松人工林断面积预测模型[J].北京林业大学学报,2017,39(7):10-17.Wang D Z,Zhang D Y,Zhang Z D,et al.Prediction model for basal area of Larix principis-rupprechtii plantation in Saihanba of Hebei Province,northern China[J].Journal of Beijing Forestry University,2017,39(7):10-17.
[4]Pienaar L V,Shiver B D.An analysis and models of basal area growth in 45-year-old unthinned and thinned slash pine plantation plots[J].Forest Science,1984,30(4):933-942.
[5]Matney T G,Sullivan A D.Compatible stand and stock tables for thinned and unthinned loblolly pine stands[J].Forest Science,1982,28(1):161-171.
[6]姚丹丹,雷相东,张则路.基于贝叶斯法的长白落叶松林分优势高生长模型研究[J].北京林业大学学报,2015,37(3):94-100.Yao D D,Lei X D,Zhang Z L.Bayesian parameter estimation of dominant height growth model for Changbai larch(Larix olgensis Henry)plantations[J].Journal of Beijing Forestry University,2015,37(3):94-100.
[7]李春明.利用非线性混合模型进行杉木林分断面积生长模拟研究[J].北京林业大学学报,2009,31(1):44-49.Li C M.Simulating basal area growth of fir plantations using a nonlinear mixed modeling approach[J].Journal of Beijing Forestry University,2009,31(1):44-49.
[8]李春明,唐守正.基于非线性混合模型的落叶松云冷杉林分断面积模型[J].林业科学,2010,46(7):106-113.Li C M,Tang S Z.The basal area model of mixed stands of larix olgensis,Abies nephrolepis and Picea jezoensis based on nonlinear mixed model[J].Scientia Silvae Sinicae,2010,46(7):106-113.
[9]朱光玉,胡松,符利勇.基于哑变量的湖南栎类天然林林分断面积生长模型[J].南京林业大学学报(自然科学版),2018,42(2):155-162.Zhu G Y,Hu S,Fu L Y.Basal area growth model for oak natural forest in Hunan Province based on dummy variable[J].Journal of Nanjing Forestry University(Natural Sciences Edition),2018,42(2):155-162.
[10]杜纪山,唐守正.林分断面积生长模型研究评述[J].林业科学研究,1997,10(6):599-606.Du J S,Tang S Z.The review of studies on stand basal area growth model[J].Forest Research,1997,10(6):599-606.
[11]郭艳荣,吴保国,刘洋,等.立地质量评价研究进展[J].世界林业研究,2012,25(5):47-52.Guo Y R,Wu B G,Liu Y,et al.Research progress of site quality evaluation[J].World Forestry Research,2012,25(5):47-52.
[12]Skovsgaard J P,Vanclay J K.Forest site productivity:a review of spatial and temporal variability in natural site conditions[J].Forestry,2013,86(3):305-315.
[13]国家林业局.第八次全国森林资源清查结果[J].林业资源管理,2014(1):1-2.State Forestry Bureau.The 8th national forest inventory[J].Forest Resources Management,2014(1):1-2.
[14]张振.基于近自然经营理论的河南山区主要林分类型抚育经营技术研究[D].郑州:河南农业大学,2016.Zhang Z.Forest tending management techniques research ofHenan mountainous main forest types based on the management theory of near naturalness[D].Zhengzhou:Henan Agricultural University,2016.
[15]李海奎,法蕾.基于分级的全国主要树种树高-胸径曲线模型[J].林业科学,2011,47(10):83-90.Li H K,Fa L.Height-diameter model for major tree species in China using the classified height method[J].Scientia Silvae Sinicae,2011,47(10):83-90.
[16]雷相东,符利勇,李海奎,等.基于林分潜在生长量的立地质量评价方法与应用[J].林业科学,2018,54(12):116-126.Lei X D,Fu L Y,Li H K,et al.Methodology and applications of site quality assessment based on potential mean annual increment[J].Scientia Silvae Sinicae,2018,54(12):116-126.
[17]孟宪宇.测树学[M].3版.北京:中国林业出版社,2006.Meng X Y.Forest mensuration[M].3rd ed.Beijing:China Forestry Publishing House,2006.
[18]段光爽,李学东,冯岩,等.华北落叶松天然次生林树高曲线的混合效应模型[J].南京林业大学学报(自然科学版),2018,42(2):163-169.Duan G S,Li X D,Feng Y,et al.Developing a height-diameter relationship model with mixed random effects for Larix principisrupprechtii natural secondary forests[J].Journal of Nanjing Forestry University(Natural Sciences Edition),2018,42(2):163-169.
[19]Pinheiro J C,Bates D M.Mixed-effects models in S and S-PLUS[M].New York:Springer,2000.
[20]唐守正.统计和生物数学模型计算[M].北京:科学出版社,2009.Tang S Z.Computation for statistics and biomathematical models[M].Beijing:Science Press,2009.