联立方程组在构建材积、蓄积及生物量模型方面，概率分布模型在模拟林木或林分的枯损及进界方面得到了广泛应用。但森林在生长发育过程中，受立地条件、气候变化、森林经营及遗传特性的影响，存在着生长上的差异。基于混合效应模型方法的联立方程组及概率分布模型不仅反映总体平均变化，还可以反映个体差异，在提高模型的估计精度方面优势明显。但基于混合效应模型方法的联立方程组在多层次效应、模型相容性、不同结构形式算法实现上，林木枯损及进界模型在多层次随机系数效应、两阶段效应及更新影响研究中存在诸多问题，甚至空白。本研究构建基于单层次和多层次(单木层次-林分层次-地理生态区层次)混合效应模型方法的单木削度方程；构建基于单层次及多层次混合效应模型方法的相容性材积、蓄积及生物量联立方程组模型；实现基于混合效应模型方法的不同形式联立方程组模型的算法；构建基于多层次两阶段随机系数效应模型及计数模型的林木枯损及进界模型。

The simultaneous equations in the construction of volume, total volume and biomass model, the probability distribution model in the simulation of mortality and recruitment of trees or stand has been widely applied. But the growth of forest has the differences because of the influence of site condition, climate change, forest management, and itself inherited character in growth and development. The simultaneous equations and the probability distribution model based on mixed effects model approach not only reflects the average change of plantation, but also reflects the individual differences, has an obvious advantage in improving the accuracy of model. But the simultaneous equations model based on mixed effects model approach in multi-level effects, the compatibility of models, the different structure forms of the algorithm, tree mortality and recruitment model based on mixed effects model approach in multi-level random coefficient effects, the effect of the two phases and the influence of regeneration has some problems. The study constructed the stem taper equation based on the single-level and multi-level (single level-stand level-the biogeographic region level) mixed effects model approach; constructed the compatibility volume, total volume and biomass of the simultaneous equations model based on the single-level and multi-level mixed effects model approach; realized the algorithm of different forms of simultaneous equations model based on mixed effects model approach; constructed tree mortality and recruitment model based on multi-level random coefficient effect model of two stage effect and counting model.