红椿近成熟天然次生林直径分布

以红椿近成熟天然次生林林木直径的偏度、峰度为指标, 研究林木直径分布特征; 运用Gamma、Logistic、Normal、Lognormal和Weibull分布概率函数对红椿近成熟天然次生林直径分布进行拟合, χ2检验拟合效果, 筛选最优分布函数, 将林分特征与最优拟合函数参数回归, 获得预测拟合函数参数并建立预测函数。结果表明: (1) 红椿全部林分偏度SK>0, 平均峰度KT<0, 植株在8—16 cm径级阶段损失较大, 林分直径分布主要为左偏山状曲线, 即反“J”型曲线, 且曲线较为平坦; (2) Weibull分布函数和Logistic分布函数为最优直径分布函数, 接受率均为90.0%; (3)方差膨胀因子为6.002相似文献   

长白山东北红豆杉生境内针阔混交林直径结构分布研究

选择能够拟合长白山自然保护区东北红豆杉生境内针阔混交林的直径结构分布模型,为该区林分经营管理提供参考。以长白山自然保护区龙荒沟林场15块东北红豆杉林分内针阔混交林为研究对象,采用负指数函数和三参数Weibull分布函数2种直径分布模型拟合和χ^2检验,分析了15块样地的直径结构分布规律。15块样地的密度为400~981株·hm^-2,平均胸径变化范围为10.5~19.9 cm,各样地林分的直径分布的偏度均为正值,直径分布函数曲线均往左偏,除了9~11号样地的直径分布用三参数Weibull分布模型效果较好外,其他样地均适合用负指数模型拟合。两种模型均能有效描述直径结构分布规律,三参数Weibull分布模型用来拟合不规则直径分布时效果较好,而负指数分布模型拟合近似“反J”型曲线时效果好。该区东北红豆杉林分内针阔混交林直径结构分布不合理,应加强该林区经营技术措施。     

基于抚育间伐效应的落叶松人工林直径分布动态模拟

基于黑龙江省孟家岗林场长白落叶松人工林5块固定样地(其中1块为对照样地,4块为抚育间伐样地,断面积强度为3.7%~49.7%)1974—2014年(林龄为19～59 a)复测的31次胸径数据,采用三参数Weibull分布函数拟合5块样地各年份直径分布,研究了直径分布曲线随林龄的动态变化规律,并分析了抚育间伐对林分直径分布曲线及Weibull分布参数的动态影响.构建了基于抚育间伐效应的Weibull分布参数预测的联立方程组模型,分别采用三阶段最小二乘法及度量误差法估计了模型的参数.结果表明: 未间伐林分(对照)直径分布曲线随林龄增加由“高峰狭窄”(林木直径分布集中)状态逐渐向“低峰宽广”(林木直径分布分散)状态过渡;抚育间伐后,林木直径分布曲线均较抚育间伐前右偏加剧,峰度变高,径阶变窄,对称性下降;间伐强度越大,伐除的中小径阶树木越多,直径分布曲线较间伐前左侧截尾明显,峰度增高,径阶分布范围变小.低强度抚育间伐使得参数a值变大,b值变小,对参数c的影响不明显;高强度抚育间伐使得参数a的增量变大,b值变小,参数c值变小.参数预测联立方程组模型的拟合结果表明,参数b的预测模型拟合效果最好,R²>0.98;参数c预测模型拟合效果稍差,但R²>0.91;三阶段最小二乘法拟合结果与度量误差联立方程组方法区别不大,两种方法检验结果均较好,模型精度都>97%,拟合效率均>0.92.所建立的模型能够较好地模拟抚育间伐效应下落叶松人工林直径分布动态变化,为科学合理经营森林提供了依据.     

中亚热带6种不同更新方式森林0-5mm根系直径频率分布

运用土芯法研究福建省三明市6种不同更新方式林分(米槠天然林、米槠天然更新林、米槠人促更新林、米槠人工林、马尾松人工林、杉木人工林)根系的(直径≤5 mm)根长随直径分布特点。结果表明:0—5 mm直径根系的根长87%—98%集中于0—2 mm直径范围内,65%—88%集中于0—1 mm直径范围内。6种不同更新方式林分的根长直径分布均呈单峰型分布,且均可用对数正态分布累积函数进行较好的拟合,R~2均达0.99以上。函数中拟合参数μ值和σ值的变化代表了不同林分细根在资源获取策略中的差异。拟合参数μ值和σ值之间具有很好的负相关,表明这两个参数呈现协同性变化,反映了细根资源获取策略中的权衡关系。随树种多样性的增加,μ值趋于更小而σ值更大,可能体现了树种间根系对养分和水分竞争的加剧;不同树种人工林μ值、σ值亦存在明显分异,反映了不同树种土壤资源利用策略的差异。结论表明对数正态分布累积函数可以很好地反映林分尺度的根系直径频率分布特点及根系资源利用策略。     

三种直径分布拟合模型在长白落叶松林分的实际应用

基于长白落叶松中龄纯林样地调查,采用相对直径法、指数函数法和Weibull分布函数法三种常用方法拟合林分胸径分布规律.结果表明,三种方法均能有效描述林分直径分布规律,特别是指数函数简单易行、拟合精度高、适用性强,可视为长白落叶松中龄林直径分布拟合的最优模型.     

长白山原始阔叶红松林径级结构模拟

以原始阔叶红松林为研究对象,设置了2块1hm2样地,利用Weibull分布函数、负指数函数和q值理论对其林分径级结构进行模拟。结果表明:2块样地林分的径级分布均呈倒"J"形,森林更新良好;Weibull分布函数和负指数函数都取得了较好的模拟效果,但Weibull分布函数更好地预测了大径阶株数,因此,Weibull分布函数比负指数函数更适合原始阔叶红松林径级结构的模拟;2块样地的q值偏小(分别为1.74和1.45),说明径级结构曲线较平缓,大径材数量多。q值法则对于阔叶红松林径阶株数密度的表达效果较好,可以被用于描述阔叶红松林的胸径分布。     

樟子松人工林树冠表面积及体积预估模型的研究

基于樟子松(Pinus sylvestris var. mongolica)人工林6块固定标准地30株枝解析数据,在分析树冠表面积和树冠体积与林分变量和林木变量的基础上,利用幂函数建立了树冠表面积（CSA）和树冠体积(CV)的预估模型,同时还对林木材积生长量与CSA和CV进行了相关分析。研究结果表明：樟子松人工林树冠表面积和树冠体积随着林木胸径、树高和冠长的增大而增大,林木材积生长量与树冠表面积和树冠体积均明显呈线性关系。不同林分条件的樟子松人工林CSA和CV随林分年龄和胸径的增大而增大,CSA随林分密度的增大而减小,而CV与林分密度相关不紧密。林分树冠表面积和树冠体积预估模型的检验结果表明,两个模型的平均相对误差都在±8%之内,预估精度均大于91%,说明所建模型可以很好地预估樟子松人工林不同林分条件下的林木树冠表面积和树冠体积。     

火烧迹地不同恢复方式土壤有机碳分布特征

以大兴安岭1987年重度火烧后恢复的兴安落叶松人工林、樟子松人工林、人促杨桦林和天然次生杨桦林为对象,研究不同恢复方式林分土壤有机碳、土壤可溶性有机碳和土壤微生物生物量碳的分布特征.结果表明: 4种恢复方式林分的土壤有机碳、土壤可溶性有机碳和土壤微生物生物量碳分别为9.63～79.72 g·kg^-1、33.21～186.30 mg·kg^-1和200.85～1755.63 mg·kg^-1,且随土层深度增加而降低.不同恢复方式间土壤有机碳、土壤可溶性有机碳和土壤微生物生物量碳差异显著,以人促杨桦林最高,兴安落叶松人工林和天然次生杨桦林次之,樟子松人工林最低.各恢复方式林分的土壤微生物熵为1.1%～2.3%,以人促杨桦林最高,樟子松人工林最低,不同林分土壤微生物熵的垂直分布特征不同.土壤微生物生物量碳与土壤有机碳、土壤可溶性有机碳含量均呈显著正相关.人促杨桦林土壤有机碳活性高于其他林分,火烧迹地采用人工促进天然恢复的方式较人工恢复和天然恢复的土壤碳循环能力更强.     

樟子松人工固沙林稳定性的研究

提出了人工林稳定性的内涵及其评价标准．分析了影响沙地樟子松人工林稳定性的各种干扰因子,通过对沙地樟子松人工林造林成活、生长情况、对不良外界环境的抗御能力、林分寿命、林分结构和生产力的综合评价分析,认为沙地樟子松引种人工林基本上是稳定的;而生长在立地较好的丘间低地的林分,其稳定性大于沙丘顶部的林分;从抗枯梢病角度看,幼林的抗性大于中林;从林分密度和生产力角度来看．红花尔基沙地樟子松林稳定性高于章古台．     

六盘山南坡不同密度华北落叶松水源林生长过程比较

以六盘山南侧的华北落叶松水源涵养林为研究对象,利用标准木树干解析法,研究了21年生低、中、高3种密度(1200、1500和2000 株·hm^-2)华北落叶松人工林的生长过程和直径结构.结果表明：华北落叶松3种密度林分在10年生前各项生长指标差异不显著;10年生后的林木直径、单株材积和林分蓄积生长过程明显不同;21年生时,低密度林分的生长状况明显优于中、高密度林分,但树高生长受密度影响不显著;3种密度林分直径分布的偏度系数(S_k)差异较大,高密度林分的S_k（0.338)大于中密度(0.072)和低密度林分(0.015).前者直径分布偏离正态分布,呈现顶峰偏左的现象;后者的直径分布接近正态分布,密度结构较合理;中密度林分直径分布的峰度系数(K,1.691)大于高密度(1.532)和低密度林分(0.665).说明中密度林分的林木分化程度比高、低密度林分小;林龄为21年的华北落叶松人工林的合理保留密度应为1200 株·hm^-2.     

麻城黄山松天然林直径分布

为研究黄山松天然次生林直径分布特征,以麻城市黄山松天然次生林为研究对象,采用标准样地调查,计算林分直径的偏度、峰度,林分直径分布的Shannon-Weiner和Simpson指数,运用负指数分布、normal分布、lognormal分布、logistic分布和Weibull分布等5种概率密度函数对黄山松天然次生林林分直...     

Stand Diameter Distribution Modelling and Prediction Based on Richards Function

The objective of this study was to introduce application of the Richards equation on modelling and prediction of stand diameter distribution. The long-term repeated measurement data sets, consisted of 309 diameter frequency distributions from Chinese fir (Cunninghamia lanceolata) plantations in the southern China, were used. Also, 150 stands were used as fitting data, the other 159 stands were used for testing. Nonlinear regression method (NRM) or maximum likelihood estimates method (MLEM) were applied to estimate the parameters of models, and the parameter prediction method (PPM) and parameter recovery method (PRM) were used to predict the diameter distributions of unknown stands. Four main conclusions were obtained: (1) R distribution presented a more accurate simulation than three-parametric Weibull function; (2) the parameters p, q and r of R distribution proved to be its scale, location and shape parameters, and have a deep relationship with stand characteristics, which means the parameters of R distribution have good theoretical interpretation; (3) the ordinate of inflection point of R distribution has significant relativity with its skewness and kurtosis, and the fitted main distribution range for the cumulative diameter distribution of Chinese fir plantations was 0.4∼0.6; (4) the goodness-of-fit test showed diameter distributions of unknown stands can be well estimated by applying R distribution based on PRM or the combination of PPM and PRM under the condition that only quadratic mean DBH or plus stand age are known, and the non-rejection rates were near 80%, which are higher than the 72.33% non-rejection rate of three-parametric Weibull function based on the combination of PPM and PRM.     

Relationship between Modelling Accuracy and Inflection Point Attributes of Several Equations while Modelling Stand Diameter Distributions

In this study, seven popular equations, including 3-parameter Weibull, 2-parameter Weibull, Gompertz, Logistic, Mitscherlich, Korf and R distribution, were used to model stand diameter distributions for exploring the relationship between the equations’ inflection point attributes and model accuracy. A database comprised of 146 diameter frequency distributions of Chinese fir (Cunninghamia lanceolata (Lamb.) Hook.) plantations was used to demonstrate model fitting and comparison. Results showed that the inflection points of the stand diameter cumulative percentage distribution ranged from 0.4 to 0.6, showing a 1/2 close rule. The equation’s inflection point attribute was strongly related to its model accuracy. Equation with an inflection point showed much higher accuracy than that without an inflection point. The larger the effective inflection point interval of the fitting curve of the equation was, and the closer the inflection point was to 0.5 for the equations with fixed inflection points, the higher the equation’s accuracy was. It could be found that the equation’s inflection point had close relationship with skewness of diameter distribution and stand age, stand density, which provided a scientific basis for model selection of a stand diameter distribution for Chinese fir plantations and other tree species.     

Density effect, self-thinning and size distribution in Pinus densiflora Sieb. et Zucc. stands

The competition-density (C-D) effect for given times and self-thinning over time in even-aged, natural, pure stands of Pinus densiflora Sieb. et Zucc. were analyzed with the reciprocal equation of the C-D effect in self-thinning stands, and the equation describing the time-trajectory of mean stem volume and stand density. The C-D effect and self-thinning were consistently well explained by the two equations. Differences in mean stem volume and in stand density among the stands tended to merge with increasing stand age. The self-thinning line with a slope of approximately –3/2 was reached by the higher density stand prior to the medium and lower density stands. The skewness of tree height distribution showed positive values, which means that the distribution is more or less L-shaped, and in addition the skewness decreased with increasing mean tree height, which indicates that smaller trees died as the stands grew. This trend is consistent with the asymmetric (one-sided) competition hypothesis that self-thinning is driven by competition for light. The tree height distribution was analyzed using the Weibull distribution. The location parameter h _min of the Weibull distribution increased with increasing stand age, and the scale parameter a tended to increase slightly with increasing stand age. The range of the shape parameter b of the Weibull distribution corresponded to that of the skewness.     

Crown profile of foliage area characterized with the Weibull distribution in a hinoki (Chamaecyparis obtusa) stand

Summary Thirten sample trees of various sizes in a 29-year-old hinoki [Chamaecyparis obtusa (Sieb, et Zucc.) Endl.] plantation were felled and subjected to the stratified clip technique. Crown profile of foliage area fitted well with the Weibull distribution. The crown profile tended to be more skewed toward the top of crowns in smaller trees than in larger trees. This tendency was reflected in the value of the shape parameter of the Weibull distribution. The shape parameter ranged from 1.73 to 3.23 and gradually increased up to an asymptotic value with an increase of stem diameter at breast height. The scale parameter of the distribution ranged from 1.0 to 4.2 and tended to increase in proportion to stem diameter at breast height. Foliage area of a tree correlated well with stem diameter at breast height through an ordinary allometric equation. Tree height could be approximated fairly well by a generalized allometric equation as a function of stem diameter at breast height. On the basis of the census of stem diameter at breast height, canopy profile could be constructed synthesizing crown profiles of foliage area for individual trees in the stand. Leaf area index was estimated to be 6.6 ha ha^–1.     

The un body: a possible structure for transcriptionally inactivated chromatin subunits

The Weibull distribution is increasingly finding application in the biological sciences, notably in forestry, where it has given good fits to tree-diameter frequency distribution. Interest among foresters is currently focused on improving the interpretation for the two parameters of this distribution, resulting in better understanding of forest stand growth.This paper presents a mathematical derivation of the Weibull distribution based on a generalization of the broken stick model used in ecology for species-abundance curves. This derivation suggests that the inverse of one parameter can be interpreted as an index of non-randomness and that the other parameter is inversely proportional to total frequency in an observed frequency distribution.