油松人工林单木树高生长模型研究

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Lo—gistic、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、Schumach—er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。     

林木生长与养分动态模型研究Ⅰ.杉木直径和高生长方程

在实测和前人研究的基础上，提出了新的杉木直径和高生长方程：Ｚ＝Ｚｍｔ／（Ｋ＋ｔ）．此方程表达形式简单，参数生物意义确切，模拟精确度高，符合和遵循林木生长随树龄（ｔ）变化的基本规律．方程参数Ｚｍ（直径或高生长极值）和Ｋ（林木生长特征系数）与立地指数Ｓ和密度指数ｎ的相关性分析结果反映了杉木生长从属于立地条件、有效空间和时间综合效应的本质关系     

红松高生长模型的研究(英文)

高生长模型是定量研究树木生长过程的有效途径,本文应用双曲线方程、Logistic方程、三个参数的Richards方程及四个参数的Richards方程对红松的高生长进行了研究。结果表明四个参数的Richards方程在模拟红松高生长时最为合适,且当其参数取不同的数值时,该方程可转化为其它理论方程。在使用四个参数的Richards方程时,可根据立地条件事先给定树高最大值,这样可使模型更符合实际情况。此外,文中还对一种以固定年龄时实际树高为参数值的模型进行了讨论,该模型对于计算给定树木的高生长将更为有效。     

孟家岗落叶松人工林标准树高模型的研究

利用理查德方程构建落叶松树高生长模型.以黑龙江省佳木斯市孟家岗实验林场落叶松人工林为研究对象,基于78块落叶松人工林标准地中100株样木作为解析木.根据地位级指数的定义对理查德方程进行推导,确定落叶松树高生长模型.在MATLAB技术的支持下,根据林分实际数据使用模型参数估计算法求得模型参数k和c的最优值.经过模型误差的检验,结果表明误差E ＜0.05,该树高生长模型可以用来模拟落叶松树高生长过程.     

日本落叶松人工林生长预测的全林分模型研究

以长岭岗林场日本落叶松人工林中的固定样地以及临时样地调查数据为基础，从模型间的相容性出发，建立了包含立地指数SI、林分密度SDI、林分断面积生长模型、树高曲线动态模型和林分收获模型的全林分模型系统，着重探讨了用Korf方程构造林分断面积生长模型时有关参数与SI和SDI的关系。     

几种落叶松生长规律及树高与胸径间关系的研究

用ｌｏｇｉｓｔｉｃ曲线方程模拟北日落、日本落叶松、长白落叶松３种林木生长进程，其相关系数均在０９７以上。用直线方程来描述树高与胸径间变化规律，其相关系数均在０９９以上，因而可用林木胸径生长量估测树高生长量。     

华北落叶松生长过程的数学模拟

该文用进行正常经营活动的华北落叶松人工林现实林分数据,分别对平均胸径、平均树高、蓄积与立地指数、密度、树龄之间的关系进行拟合,建立多元回归方程进而对不同立地指数、不同密度下的华北落叶松生长过程进行模拟。     

兴安落叶松树高曲线模型研究

应用孟家岗林场2011—2012年17块固定样地中85株解析木资料,根据经验方程选择单木树高曲线的基本模型,应用选定的模型对不同立地条件下的落叶松人工林进行树高曲线拟合,再用参数化的方法确定参数与各个林分调查因子之间的关系,从而建立单木树高曲线模型。结果表明:Richards理论模型可作为落叶松人工林单木树高曲线基本模型,其参数与林分的地位级指数(SCI)呈线性关系,而与年龄和密度的关系不明显;最终建立的树高曲线方程为H=(12.380 25+0.740 79 SCI)(1-e~(-0.05D))0.665 29+1.3,其优点是,当0≤H≤1.3时,D的取值可以为零,符合林木生长的生物学特性。     

柞树树高与胸径相关关系的研究

使用Logistic方程、直线方程、对数方程、多项式方程、乘幂式方程和指数式方程6种理论生长方程拟合不同立地条件下柞树树高生长过程,从中选择最优的树高生长方程。研究结果显示:通过比较拟合统计量,最终确定Logistic方程为柞树树高生长的最优模型。将检验数据的胸径值代入最优树高生长模型中,求出树高预测值,并对树高实测值与预测值进行T检验,研究发现柞树实测值与预测值之间无显著差异(p=0.985 748>0.05),表明该树高模型可以实现柞树树高的有效预测。     

日本落叶松家系对树高生长模型参数的影响

以湖北省建始县长岭岗林场 15年生日本落叶松子代测定林为研究对象 ,研究了家系间优势高的生长变异 ,家系对树高生长模型参数影响的显著性检验 ,并构建了日本落叶松家系树高生长模型。研究表明 ,同一立地不同家系的树高—年龄关系为多形曲线 ,不仅渐近线存在显著差异 ,而且曲线的形状也发生改变 ,应采用不同的生长模式来描述其树高生长过程 ,优势高生长是环境差异和遗传变异的树木表现型的综合反映 ,树高生长潜力 (立地指数 )随着遗传改良材料的应用而增大 :Schumacher和Richards方程对模拟日本落叶松幼龄阶段不同家系的优势高生长过程均能达到令人满意的效果 :家系间优势高的差距随年龄而增大 ,且家系间连年生长速率也各不相同。     

人工落叶松枝下高动态研究

林木枝下高直接影响树木的生长和树干形状 ,建立林木枝下高动态模型可以了解林木或林分的生长规律.分析了枝下高与林分密度和树高的关系,利用节子剖析数据,结合落叶松高生长数据,建立了落叶松人工林的枝下高动态预测模型.并讨论了其动态预测模型在整枝高度、树冠基部高度和合理间伐时间的确定中的应用.     

Modelling annual individual-tree growth and mortality of Scots pine with data obtained at irregular measurement intervals and containing missing observations

An individual-tree growth model was developed with data from 54 permanent plots of Scots pine (Pinus sylvestris L.) located in Galicia (northwestern Spain). The study involved two model fitting approaches, one considering constant growth and mortality rates in the period between two consecutive inventories, and another considering variable growth and mortality rates in the same period. The individual-tree growth model was based on annual basal area growth, height growth and survival probability. The model included variables from groups pertaining to tree size, competition and age. Weighted regression was used as a tool for dealing with missing height observations in model fitting. Evaluation of the model via simulation of growth and mortality in the period between inventories showed that the variable growth rate approach provided slightly better results than the constant growth rate approach. The final model was consistent with expected diameter growth, height growth, dominant height growth, stand basal area growth and reduction in number of stems per hectare.     

五种针叶树个体高生长过程研究

运用SAS分别建立了5种针叶树树高与树龄的回归方程。通过模型分析，预测了5种针叶树在研究区内的最终树高，分析了不同生长阶段树高生长的速度变化，比较了树高生长年快慢，划分了树高的生长阶段，提出了相应的经营措施。     

A stand dynamic model for red pine plantations with different initial densities

A stand dynamic model was developed to predict the growth response in even-aged forest plantations of different initial planting densities. The model is based on the integration of three subcomponents: height growth, self-thinning, and diameter increment. The integrated model uses the height of dominant trees to simulate stand response to site quality and internal growth potential. An extended self-thinning submodel is used to simulate mortality in stands due to crowding and inter-tree competition. A diameter increment submodel is used to link the height growth and self-thinning submodels. The height growth submodel is based on an application of the “Pipe Model” theory. The three-parameter self-thinning submodel is developed from an extended self-thinning law that captures self-thinning in stands before they attain full stocking. The diameter increment model is based on the assumption that diameter increment is related to height growth and available growing space described by stand density. The integrated model is applied to data collected from a 45-year-old red pine (Pinus resinosa Ait.) plantation subsectioned with different initial planting densities. For the data used, only two parameters were required to capture 99% of measured variation in height growth. Additional data from sites with different planting intensities are required to formulate a more generalized height growth model. The slope of the linear self-thinning limit for red pine is approximately −1.5. Model predictions are consistent with field measurements.     

山地麻竹生长年动态及其预测模型研究

通过对国有南靖林场 5种造林年度的山地麻竹林生长进行分析 ,结果表明 :麻竹胸径、竹高、胸径处节间长、最大节间长、枝下高等因子的生长都随造林年限的延长而增大 ,除枝下高生长模型外 ,其它各模型预测精度较高     

Variation analysis of growth traits of four poplar clones under different water and fertilizer management

To determine appropriate quantities of water and fertilizer required for early growth of hybrid poplar cuttings,we recorded the growth traits of four clones grown under four factors(irrigation and nitrogen,phosphorus,and potassium fertilizers),each with four levels,using an orthogonal experimental design.A logistic model was used to estimate growth in height.The growth curves for tree height were sigmoid,and the model R^2 values were greater than 0.9,which indicated that the fit was highly significant.ANOVA results for tree height and basal diameter indicated that all sources of variance showed significant differences(p<0.001).The average tree height and basal diameter for all the four clones under the different treatments ranged from 155.39 to 235.04 cm,and from 13.71 to 17.42 mm,respectively.A highly positive correlation between the extreme k value and tree height was observed,suggesting that the k value was an accurate estimation of tree height.For model parameters,the earliest average time point for the onset of the rapid growth period of poplar clones was 131 d,and the highest average increment in tree height during the rapid growth period was 138.78 cm.The highest average tree height for all clones under each factor was 219,210.51,200,and 201 cm when treated with either 1200 mL of water applied every third day,3 g of nitrogen,0 g of phosphorus,or 0 g of potassium,respectively.The most suitable treatment for the early growth of hybrid poplar cuttings,as suggested by the developed logistic model,was 1200 mL of water applied every third day and three applications of 1 g nitrogen(in the form of CH4N2O).     

毛果青冈1年生苗木生长规律及相关关系

通过对毛果青冈播种育苗,研究毛果青冈1年生苗在苗期各器官生长的变化规律.经定期测定与回归分析,模拟苗木各器官生长与时间之间的相关关系和各器官生长与苗高生长的数学模型.结果表明:苗高、地径与生长时间呈幂函数关系,根、径、叶同苗高的生长有着直线性的相关关系;拟合模型符合毛果青冈1年生苗的生长规律,各器官间的数学模型及相关关系均达到极显著水平.     

杨树高生长方程的研究

本文根据203株杨树的年龄及树高调查数据,分别采用三个理论生长方程进行拟合,得出杨树高生长的最优方程。     

Prediction of annual tree growth and survival for thinned and unthinned even-aged maritime pine stands in Portugal from data with different time measurement intervals

An annual individual tree survival and growth model was developed for pure even-aged stands of maritime pine in Portugal, using a large data set containing irregularly time-spaced measurements and considering thinning effects. The model is distance-independent and is based on a function for diameter growth, a function for height growth and a survival function. Two approaches are compared for modeling annual tree growth. The first approach directly estimates a future diameter or height using well-known growth functions formulated in difference form. The second approach estimates diameter or height using a function in differential form estimating the increment over a year period. In both approaches, the function parameters were related to tree and stand variables reflecting the competition status of the tree as well as of a thinning response factor. Variable growth and survival rates were assumed in the modeling approaches. An iterative method was used to continuously update tree and stand attributes using a cut-off to convert the survival probability for a living or a dead tree. The individual tree diameter growth model and the survival probability model were fitted simultaneously using seemingly unrelated regression (SUR). Parameters of the height function were obtained separately as the number of observations for height was much lower than the number of observations for diameter, which may affect the statistical inference and the estimation of contemporaneous cross-equation error correlation inherent to the system of equations. PRESS residuals were used to evaluate the predictive performance of the diameter and the height growth functions. Additional statistics based in the log likelihood function and also in the survival probability were computed to evaluate the survival function. The second modeling approach, which integrates components of growth expansion and decline, performed slightly better than the first approach. A variable accounting for the thinning response that was tested proved to be significant for predicting diameter growth, even if the model already included competition-related explanatory variables, namely the basal area of trees larger than the subject tree. However, this thinning response factor was not significant for predicting height growth.