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林业科学 ›› 2010, Vol. 46 ›› Issue (7): 106-113.doi: 10.11707/j.1001-7488.20100716

• 论文 • 上一篇    下一篇

基于非线性混合模型的落叶松云冷杉林分断面积模型

李春明,唐守正   

  1. 中国林业科学研究院资源信息研究所 北京 100091
  • 收稿日期:2009-04-13 修回日期:2009-06-10 出版日期:2010-07-25 发布日期:2010-07-25

The Basal Area Model of Mixed Stands of Larix olgensis, Abies nephrolepis and Picea jezoensis Based on Nonlinear Mixed Model

Li Chunming;Tang Shouzheng   

  1. Research Institute of Forest Resources Information Techniques, CAF Beijing 100091
  • Received:2009-04-13 Revised:2009-06-10 Online:2010-07-25 Published:2010-07-25

摘要:

以吉林省汪清林业局金沟岭林场20块落叶松云冷杉样地为研究对象。首先选择传统的回归方法从4个常用的断面积模型中找出模拟精度最高的模型作为基础模型,利用基础模型及模拟数据构建非线性混合模型,考虑样地效应,采用SAS软件进行模拟,选择模型收敛及其对数似然值、AIC和BIC值最小的混合模型作为最优模型; 然后,在此基础上考虑断面积连续观测数据的时间序列相关性,并把间伐强度以哑变量形式考虑进去,再进行混合模型的模拟; 最后,利用验证数据对混合模型方法与传统的非线性回归模拟方法进行精度比较。结果表明: 林分密度指数作为自变量的Schumacher式的模拟精度最高,而考虑样地效应的混合模型模拟精度优于传统的回归模型方法; 一阶自回归误差结构矩阵模型在解释断面积的时间序列相关性时不仅提高了混合模型的模拟精度,而且能够很好地表达连续观测数据间误差分布情况; 同时考虑样地的随机效应、观测数据的时间序列相关性及间伐强度的混合模型模拟精度比传统的非线性回归方法模拟精度高。

关键词: 混合模型, 断面积, 落叶松, 间伐, 时间序列相关性

Abstract:

The paper selected twenty mixed stands of Larix olgensis, Abies nephrolepis and Picea jezoensis plots as studys example establishing in Forestry Center of Jingouling in Wangqing Forest Bureau of Jilin Province. At first, four nonlinear basal area equations were evaluated using ordinary regression analysis to develop a local model with better precision. The nonlinear mixed model was constructed based on the local model and simulated data. Taking into account different plot effect, the convergence mixed model, in which the values of -2log Likelihood, AIC and BIC are the smallest, was considered as the best model in fitting process with SAS software. Then, within-plot time series error autocorrelation of basal area data and cutting intensity which were expressed with dummy variable were taken into account in mixed model. Finally, the precision of mixed models was compared with the precision of conventional nonlinear ordinary regression analysis method based on validation data. The study showed that the precision of Schumacher form model was higher than that of the other three models due to the consideration of stand density index. The fitted effects of mixed model approach were better than that of ordinary regression analysis. First-order autoregressive error model in explaining time series error autocorrelation of basal area not only improved simulated precision, but also described error distribution of sequence observation data. The precision of mixed model considering plot random effects, time series error autocorrelation and cutting intensity is better than that of ordinary regression analysis method.

Key words: mixed model, basal area, Larix olgensis, cutting, time series error autocorrelation