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1.
黑龙江省红松人工林枝条分布数量模拟 总被引:1,自引:0,他引:1
基于黑龙江省佳木斯市孟家岗林场的12块样地65株人工红松解析木的955个枝解析数据,以Poisson回归模型和负二项回归模型作为备选模型,构建了人工红松二级枝条数量分布模型,并采用AIC、Pseudo-R2、均方根误差(RMSE)和Vuong检验对模型的拟合优度进行比较.结果表明: 每轮一级枝条分布数量集中在3~5个,均值为4个,一级枝条分布数量与人工红松自身的枝条属性相关.一级标准枝上二级枝条分布的离散程度较大,利用全部子回归技术构建二级枝条分布数量模型,最终选择以负二项回归模型为基础的E(Y)=exp(β0+β1lnRDINC+β2RDINC2+β3HT/DBH+β4CL+β5DBH)作为二级枝条分布数量最优预测模型(β为参数;RDINC为相对着枝深度;HT为树高;DBH为胸径;CL为冠长).最优模型的Pseudo-R2为0.79,平均偏差接近于0,平均绝对偏差<7.对于所建立的模型,lnRDINC、CL和DBH的参数为正值,RDINC2和HT/DBH的为负值,随着RDINC增大,在树冠内二级枝条分布数量存在最大值.总的来说,所建立的人工红松二级枝条分布数量模型的预测精度为96.4%,可以很好地预估该研究区域人工红松二级枝条分布数量,为以后枝条的光合作用和生物量的研究提供了理论基础. 相似文献
2.
选取在经济学和社会科学领域广泛应用的零膨胀模型(zero-inflated models)和栅栏模型(Hurdle models)对大兴安岭地区林火发生进行模拟,应用赤池准则(AIC)、似然比检验(LR)和模型残差平方和(SSR)对两类共4个回归模型——零膨胀泊松模型(ZIP)、零膨胀负二项模型(ZINB)、栅栏泊松模型(PH)、栅栏负二项模型(NBH)进行拟合分析,最终选取适合此林火发生特性的预测模型.模型的AIC和SSR值表明,ZINB模型对当地林火数据的拟合度最高.运用LR检验对嵌套模型(ZINB与ZIP,NBH与PH)进行检验,结果显示: ZINB和NBH均优于各自的嵌入模型,说明负二项(NB)模型对数据结构中的过度离散现象可以很好地模拟和解释.根据研究区林火实际发生规律和两类不同模型的应用假设条件判断,零膨胀模型更适合塔河地区的林火特性. 相似文献
3.
A 7-ha alfalfa field (Medicago saliva L. cv Mesa Sirsa) was sampled systematically on a 6 x 6-m grid by removing individual cores (2.54 cm diam) to a depth of 45 cm from each of the 1,936 grid intersections. The soil was mainly coarse-textured with a fine-textured streak running centrally, north to south. Nematodes were extracted by a semiautomatic elutriator and sugar flotation-sieving technique. Five plant-parasitic species were consistently present: Meloidogyne arenaria, Pratylenchus minyus, Merlinius brevidens, Helicotylenchus digonicus, and Paratrichodorus minor. All species had a highly skewed nonnormal frequency distribution that departed significantly from randontness. Goodness-of-fit tests on the distribution of five populations in the entire field showed that three (Meloidogyne, Merlinius, and Helicotylenchus) were described by a negative binomial. When the samples were categorized by soil texture (coarse vs. fine-textured), all populations in the fine-textured areas, and three populations (Meloidogyne, Pratylenchus, and Merlinius) in the coarse areas, fitted a negative binomial distribution. Nearly all populations titted a negative binomial when the frequency distributions from randomly located one-meter-square areas were examined for each species. 相似文献
4.
Attempt has been made in this paper to estimate certain parameters (data pertaining to which are either not available or easily reportable) of the human reproductive process as the period of postpartum ammenorrhoea (P.P.A.), number of foetal wastages in between live births etc., using a truncated negative binomial probability model. In view of the hypothesis that the probability of foetal wastages varies from mother to mother, the truncated negative binomial distribution has been compounded by weighing with the best prior Beta distribution of the parameter. Estimation has been made by successive approximation using the method of moments. 相似文献
5.
Ioannis Vagelas Mike D. Dennett Barbara Pembroke Simon R. Gowen 《Biocontrol Science and Technology》2013,23(11):1296-1306
Pasteuria penetrans controls root-knot nematodes (Meloidogyne spp.) either by preventing invasion or by causing female sterility. The greatest control of P. penetrans occurred when an appropriate quantity of P. penetrans spores attached to the cuticle of a juvenile nematode. The number of spores attaching to juveniles within a given time increased with increasing the time of exposure to spores. Based on this, numbers of encumbered nematodes were recorded 1, 3, 6 and 9 h after placing nematodes in standard P. penetrans spore suspensions. From the count data obtained, P. penetrans attachment was modelled using the Poisson and negative binomial distributions. Attachment count data were observed to be overdispersed with respect to high numbers of spores attaching on each J2 at 6 and 9 h after spore application. It was concluded that the negative binomial distribution was shown to be the most appropriate model to fit the observed data-sets considering that P. penetrans spores are clumped; this could be further refined with a Markov process. 相似文献
6.
基于黑龙江省孟家岗林场60株人工红松955个标准枝数据,采用线性混合效应模型理论和方法,考虑树木效应,利用SAS软件中的MIXED模块拟合红松人工林一级枝条各因子(基径、枝长、着枝角度)的预测模型.结果表明: 通过选择合适的随机参数和方差协方差结构能够提高模型的拟合精度;把相关性结构包括复合对称结构CS、一阶自回归结构AR(1)及一阶自回归与滑动平均结构ARMA(1,1)加入到一级枝条大小最优混合模型中,AR(1)可显著提高枝条基径和角度混合模型的拟合精度,但3种结构均不能提高枝条角度混合模型的精度.为了描述混合模型构建过程中产生的异方差现象,把CF1和CF2函数加入到枝条混合模型中,CF1函数显著提高了枝条角度混合模型的拟合效果,CF2函数显著提高了枝条基径和长度混合模型拟合效果.模型检验结果表明:对于红松人工林一级枝条大小预测模型,混合效应模型的估计精度比传统回归模型估计精度明显提高. 相似文献
7.
Distribution patterns of the number of foundresses per newly established nest (foundress group size, FGS) of two primitively
eusocial, independent-founding wasps, Ropalidia fasciata and R. plebeiana, were studied using zero-truncated distribution models. The distribution pattern of the FGS of R. fasciata is significantly different from a zero-truncated Poisson distribution but fits the zero-truncated negative binomial distribution
well, indicating a strongly contagious distribution. R. plebeiana sometimes establishes new colonies by reusing old nests. In this case, distributions are strongly contagious. Competition
among foundresses may be one reason for the contagious distribution of FGS in R. fasciata and in cases of old-nest reuse by R. plebeiana, but further studies, especially on the behaviour of foundresses in relation to FGS, are necessary.
Electronic Publication 相似文献
8.
雷击火的发生与气象因子之间存在着密切的关系。该文选用符合大兴安岭地区林火发生数据结构的负二项(negative binomial,NB)和零膨胀负二项(zero-inflated negative binomial,ZINB)两种模型对大兴安岭林区1980–2005年间雷击火的发生与气象因素间的关系进行建模分析,并与以往研究中所使用的最小二乘(OLS)回归方法相对比。使用SAS和R-Project统计软件进行模型拟合运算,计算得出模型各参数。结果表明,NB和ZINB模型对数据拟合较好,模型内各气象因子显著性水平较高,对雷击火发生次数均具有较好的预测能力。运用AIC和Vuong等检验方法,进一步比较了NB和ZINB模型对数据的拟合水平以及模型预测水平,结果表明ZINB模型无论在数据拟合还是模型预测上都要优于NB模型。提出了大兴安岭地区林火发生与气象因子关系的最优模型。 相似文献
9.
Aims Fits of species-abundance distributions to empirical data are increasingly used to evaluate models of diversity maintenance and community structure and to infer properties of communities, such as species richness. Two distributions predicted by several models are the Poisson lognormal (PLN) and the negative binomial (NB) distribution; however, at least three different ways to parameterize the PLN have been proposed, which differ in whether unobserved species contribute to the likelihood and in whether the likelihood is conditional upon the total number of individuals in the sample. Each of these has an analogue for the NB. Here, we propose a new formulation of the PLN and NB that includes the number of unobserved species as one of the estimated parameters. We investigate the performance of parameter estimates obtained from this reformulation, as well as the existing alternatives, for drawing inferences about the shape of species abundance distributions and estimation of species richness.Methods We simulate the random sampling of a fixed number of individuals from lognormal and gamma community relative abundance distributions, using a previously developed 'individual-based' bootstrap algorithm. We use a range of sample sizes, community species richness levels and shape parameters for the species abundance distributions that span much of the realistic range for empirical data, generating 1?000 simulated data sets for each parameter combination. We then fit each of the alternative likelihoods to each of the simulated data sets, and we assess the bias, sampling variance and estimation error for each method.Important findings Parameter estimates behave reasonably well for most parameter values, exhibiting modest levels of median error. However, for the NB, median error becomes extremely large as the NB approaches either of two limiting cases. For both the NB and PLN,>90% of the variation in the error in model parameters across parameter sets is explained by three quantities that corresponded to the proportion of species not observed in the sample, the expected number of species observed in the sample and the discrepancy between the true NB or PLN distribution and a Poisson distribution with the same mean. There are relatively few systematic differences between the four alternative likelihoods. In particular, failing to condition the likelihood on the total sample sizes does not appear to systematically increase the bias in parameter estimates. Indeed, overall, the classical likelihood performs slightly better than the alternatives. However, our reparameterized likelihood, for which species richness is a fitted parameter, has important advantages over existing approaches for estimating species richness from fitted species-abundance models. 相似文献
10.
Count data often show a higher incidence of zero counts than would be expected if the data were Poisson distributed. Zero-inflated Poisson regression models are a useful class of models for such data, but parameter estimates may be seriously biased if the nonzero counts are overdispersed in relation to the Poisson distribution. We therefore provide a score test for testing zero-inflated Poisson regression models against zero-inflated negative binomial alternatives. 相似文献
11.
A model for binary trials based on a bivariate generalization of the Poisson process for both the number of successes and number of trials with the transition rates dependent on the accumulating numbers of successes and trials is used to reanalyze some recently published data of Zhu, Eickhoff, and Kaiser (2003, Biometrics59, 955-961). This modeling admits alternative distributions for the numbers of trials and the numbers of successes conditional on the number of trials which generalize the Poisson and binomial distributions, without some of the restrictions apparent in the beta-binomial-Poisson mixed modeling of Zhu et al. (2003). Some quite marked differences between the results of this analysis and those described in Zhu et al. (2003) are apparent. 相似文献
12.
Han Zheng Alan Kimber Victoria A. Goodwin Ruth M. Pickering 《Biometrical journal. Biometrische Zeitschrift》2018,60(1):66-78
A common design for a falls prevention trial is to assess falling at baseline, randomize participants into an intervention or control group, and ask them to record the number of falls they experience during a follow‐up period of time. This paper addresses how best to include the baseline count in the analysis of the follow‐up count of falls in negative binomial (NB) regression. We examine the performance of various approaches in simulated datasets where both counts are generated from a mixed Poisson distribution with shared random subject effect. Including the baseline count after log‐transformation as a regressor in NB regression (NB‐logged) or as an offset (NB‐offset) resulted in greater power than including the untransformed baseline count (NB‐unlogged). Cook and Wei's conditional negative binomial (CNB) model replicates the underlying process generating the data. In our motivating dataset, a statistically significant intervention effect resulted from the NB‐logged, NB‐offset, and CNB models, but not from NB‐unlogged, and large, outlying baseline counts were overly influential in NB‐unlogged but not in NB‐logged. We conclude that there is little to lose by including the log‐transformed baseline count in standard NB regression compared to CNB for moderate to larger sized datasets. 相似文献
13.
R.P. Hirsch 《International journal for parasitology》1980,10(4):243-248
Hirsch R. P. 1979. Distribution of Polymorphus minutus among its intermediate hosts. International journal for Parasitology10: 243–248. In 1971, Crofton investigated patterns of distribution of Polymorphus minutus in the intermediate host, Gammarus pulex. Among his conclusions were: (1) P. minutus populations occur in patterns similar to negative binomial distributions, and (2) parasite-induced host mortality results in patterns similar to truncated (high end) negative binomial distributions. Those conclusions, however, were not tested by statistical analyses. To test Crofton's observations, Chi-square goodness of fit tests were applied to data used by Crofton and an additional two stations sampled by Hynes & Nicholas in 1963. Analyses were expanded to include five theoretical distributions, four patterns of host mortality and various rates of host mortality. Truncated forms of negative binomial, positive binomial and Poisson distributions were also investigated where nontruncated distributions failed to fit observed distributions. It was found that negative binomial distributions most frequently describe patterns of P. minutus distribution with the exception of one population described by Poisson and another by positive binomial distributions. Crofton's assumption that truncated distributions result from parasite-induced host mortality seems unlikely in light of those analyses. 相似文献
14.
Daniel J. Hruschka Oskar Burger 《Philosophical transactions of the Royal Society of London. Series B, Biological sciences》2016,371(1692)
Most work on the human fertility transition has focused on declines in mean fertility. However, understanding changes in the variance of reproductive outcomes can be equally important for evolutionary questions about the heritability of fertility, individual determinants of fertility and changing patterns of reproductive skew. Here, we document how variance in completed fertility among women (45–49 years) differs across 200 surveys in 72 low- to middle-income countries where fertility transitions are currently in progress at various stages. Nearly all (91%) of samples exhibit variance consistent with a Poisson process of fertility, which places systematic, and often severe, theoretical upper bounds on the proportion of variance that can be attributed to individual differences. In contrast to the pattern of total variance, these upper bounds increase from high- to mid-fertility samples, then decline again as samples move from mid to low fertility. Notably, the lowest fertility samples often deviate from a Poisson process. This suggests that as populations move to low fertility their reproduction shifts from a rate-based process to a focus on an ideal number of children. We discuss the implications of these findings for predicting completed fertility from individual-level variables. 相似文献
15.
高效液相色谱法快速分析红松、云杉针叶中的维生素C刘海玲,杜英君,杨志勇(中国科学院沈阳应用生态研究,沈阳110015)HigheffectiveliquidchromatographicanalysisofvitaminCinPinuskoraien... 相似文献
16.
A randomised controlled trial to evaluate a training programme for physician-patient communication required the analysis of paired count data. The impact of departures from the Poisson assumption when paired count data are analysed through use of a conditional likelihood is illustrated. A simple approach to providing robust inference is outlined and illustrated. 相似文献
17.
王朋阳;吴海波;姚莉;杨剑飞;张鹏;沈海龙 《应用生态学报》2025,36(1):77-85
本研究以全光下6、7和8月处于结实状态的40年生红松母树生殖枝和营养枝上的当年生和一年生针叶为研究对象,比较针叶形态解剖结构和光合性能指标的差异,分析不同枝型和叶龄针叶各指标间的相关性。结果表明: 除了气孔密度、叶宽和中柱面积外,当年生针叶其他形态指标、解剖结构指标和含水率在不同月份间差异显著,而一年生针叶在不同月份间差异不明显。当年生针叶在7和8月叶长分别比6月显著提高91.0%~110.1%和122.2%~131.5%,比叶面积分别显著减小32.8%~40.9%和44.8%~52.5%,木质部面积分别显著增大47.3%~70.8%和75.9%~105.7%,韧皮部面积分别显著增大29.2%~30.0%和64.3%~73.2%。当年生和一年生针叶净光合速率(Pn)在不同月份间的变化趋势相反,表现出当年生针叶在7月和8月的Pn比6月分别增高 17.1%~39.8%和40.3%~51.5%,而一年生针叶在7月和8月的Pn比6月分别降低40.1%~56.9%和45.2%~46.1%。生殖枝和营养枝之间的针叶叶长和Pn差异显著,表现在生殖枝6和7月当年生针叶叶长分别比营养枝显著减小16.4%和28.1%,生殖枝当年生和一年生针叶Pn分别比营养枝显著减小23.1%和20.4%。生殖枝和营养枝当年生针叶的PSⅡ反应中心激发能捕获效率(Fv′/Fm′)和Pn以及营养枝当年生针叶胞间CO2浓度与除了气孔密度之外的其他形态解剖结构指标紧密相关,而一年生针叶相关不紧密。叶龄是导致针叶形态解剖结构和光合性能指标产生差异的主要因素,枝条类型仅对叶长和Pn有显著影响。 相似文献
18.
Ridout, Hinde, and Demétrio (2001, Biometrics 57, 219-223) derived a score test for testing a zero-inflated Poisson (ZIP) regression model against zero-inflated negative binomial (ZINB) alternatives. They mentioned that the score test using the normal approximation might underestimate the nominal significance level possibly for small sample cases. To remedy this problem, a parametric bootstrap method is proposed. It is shown that the bootstrap method keeps the significance level close to the nominal one and has greater power uniformly than the existing normal approximation for testing the hypothesis. 相似文献
19.
基于黑龙江省孟家岗林场60株红松解析木3643个枝条生物量的实测数据,利用全部子回归技术建立了枝条生物量模型(枝、叶和枝总生物量模型),最终选择lnw=k1+k2lnLb+k3lnDb为枝条生物量最优基础模型.利用SAS 9.3统计软件的PROC MIXED模块建立枝条生物量混合模型,并采用AIC、BIC、对数似然值和似然比等统计指标评价不同模型的拟合效果.结果表明: 红松解析木的叶和枝总生物量混合模型以k1、k2、k3作为随机效应参数的拟合效果最好,而枝生物量混合模型以k1、k2作为随机效应参数的拟合效果最好.最后将枝条生物量最优基础模型与最优混合模型进行模型检验.混合模型各项指标优于基础模型,能有效地提高模型的预估精度,并且通过方差协方差结构校正随机参数来反映树木之间的差异. 相似文献
20.
The class of bivariate modified power series probability distribution (BMPSD) has been defined by P(X = x, Y=y) =a(x, y) (g(?1 ?2))x (h(?1, ?2))xwhere a(x,y) is a sub-set of the Cartesian product of the set of non-negative integers and g(?1, ?2), h(?1 ?2) and f(?1, (?1, ?2) are positive finite and successively differentiable functions of ?1and ?2. It includes a very large number of well known probability distributions. The recurrence relations for central moments and factorial moments have been determined. Also, the M.L. estimators for ?1 and ?2 and their asymptotic biases and variances are obtained. Some important properties are discussed. The results of an BMPSD have been applied to derive the corresponding results for the bivariate generalized negative bino-mial distribution and the bivariate Lagrangian Poisson distribution. 相似文献