使用Richard,Logistic,Korf,Mitscherlich,Schumacher,Weibull等6种理论生长方程拟合了不同立地条件下油松人工林单木树高生长过程,从中选出模拟效果最优的生长方程。研究结果显示:三参数理论生长方程Logistic、Weibull、Richard、Korf对油松树高生长拟合的精度基本相近,明显高于二参数的Mitscherlich、Schumacher方程;立地指数显著影响各方程渐进线参数和形状参数,将立地指数引入各理论生长方程中,构建了模拟油松人工林单木树高生长精度最优的预测方程为Logistic式;使用未参加建模的油松解析木数据对构建的预测方程进行T检验,发现预测值与实测值之间无显著差异(P=0.6213>0.05)。可见,本文构建的预测方程可以准确预测油松人工林单木树高生长过程,为油松人工林科学经营提供重要参考。
Richard,Logistic,Korf,Mitscherlich,Schumacher,Weibull equations were used to simulate individual tree height growth of Pinus tabulaeformis plantation with different site indexes.The result showed that simulative precision of three parameters growth equations(Logistic,Weibull,Richard,Korf)were similar,and were significantly higher than those of the two parameters equation(Mitscherlich,Schumacher equation);Effect of site indexes on the progressive line parameters and shape parameters of the equation was significant.Individual tree height growth model of Pinus tabulaeformis plantations was constructed with the site indexes.The best forecast equation was the Logistic equation. Using some data of Pinus tabulaeformis plantation plot that are not used for building models to test,the result showed that the measured values and simulated values of height had no significant difference(p=0.6213>0.05).Therefore,the equation was able to predict accurately height growth of Pinus tabulaeformis plantation,and provide an important reference for Pinus tabulaeformis plantation management.
[1]Thrower J S,Goudie J W.Estimation dominant height and site index of even-aged interior Douglas-fir in British Columbia[J].West J.Appl.For.,1992,7(1):20-25.
[2]Wang G G,Klinka K.Site-specific height curves for white spruce(Picea glauca[Moench] Voss)stands based on stem analysis and site classification[J].Ann.Sci.For.,1995,52(2):607-618.
[3]Nigh G D,Sit V.Validation of forest height-age models[J].Can.J.For.Res.,1996,26(3):810-818.
[4]Chen H Y H,Klinka K,Kabzems R D.Height growth and site index model for trembling aspen(Populus tremuloides Michx.)in northern British Columbia[J].For.Ecol.Manage.,1998,102(1):157-165.
[5]Payandeh B,Wang Y.Relative accuracy of a new base-age invariant site index model[J].For.Sci.,1994,40(2):341-348.
[6]Payandeh B.Formulated site index curves for major timber species in Ontari[J].For.Sci.,1974,20(1):143-144.
[7]Carmen W H,Lenthall D J.Height-growth and site-index curves for jack pine in north central Ontario[J].Can.J.For.Res.,1989,19(1):215-224.
[8]Payandeh B,Wang Y.Modified site index equations for major Canadian timber species[J].For.Ecol.Manage,1994,64(1):97-101.
[9]Yang R C,Kozak A,Smith J H G.The potential of Weibull-type functions as flexible growth curves[J].Can.J.For.Res.,1978,8(2):424-431.
[10]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,2004,5(2):159-161.
[11]邓红兵,郝占庆,王庆礼,等.红松单木高生长模型的研究[J].生物学杂志,1999,18(3):19-22.
[12]张建国,段爱国.理论生长方程与直径结构模型的研究[M].北京:科学出版社,2004.
[13]刘平.美国森林植被模拟系统(FVS)在北京地区人工林上的应用研究[D].北京林业大学.2007.
[14]张建国,段爱国.理论生长方程对杉木人工林林分直径结构的模拟研究[J].林业科学,2003,39(6):55-61.
[15]李希菲,王明亮,黄旺志.利用线形模型检验杉木不同种源立地指数曲线模型的通用性[J].林业科学研究,1999,12(5):505-509.
