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林业科学 ›› 2020, Vol. 56 ›› Issue (9): 164-173.doi: 10.11707/j.1001-7488.20200918

• 研究简报 • 上一篇    下一篇

相容性单木生物量模型估计方法的比较——以青冈栎为例

刘秀红1,姜春前1,*,徐睿1,何潇2,齐梦娟1   

  1. 1. 中国林业科学研究院林业研究所 国家林业和草原局林木培育重点实验室 北京 100091
    2. 中国林业科学研究院资源信息研究所 北京 100091
  • 收稿日期:2019-04-01 出版日期:2020-09-25 发布日期:2020-10-15
  • 通讯作者: 姜春前
  • 基金资助:
    国家重点研发计划"湘西丘陵山地次生林生物多样性保育和碳汇提升技术研究与示范"(2017YFC0505604)

Comparison of Methods to Construct Compatible Individual Tree Biomass Models — A Case Study of Cyclobalanopsis glauca

Xiuhong Liu1,Chunqian Jiang1,*,Rui Xu1,Xiao He2,Mengjuan Qi1   

  1. 1. Key Laboratory of Tree Breeding and Cultivation of National Forestry and Grassland Administration Research Institute of Forestry, CAF Beijing 100091
    2. Research Institute of Forestry Resource Information Techniques, CAF Beijing 100091
  • Received:2019-04-01 Online:2020-09-25 Published:2020-10-15
  • Contact: Chunqian Jiang

摘要:

目的: 生物量模型是估算森林生物量的有效手段,非线性联立方程组是构建相容性生物量模型的常见方法。本研究以青冈栎为例,比较常用的2种生物量模型构建方法和3种参数估计算法,以期选出最好的生物量模型构建方法和算法,为生物量的模型计算和研究提供技术支撑。方法: 以南方25株青冈栎地上生物量实测数据为例,选择比例总量直接控制和代数和控制2种结构形式的相容性生物量模型,分别使用普通最小二乘法、二阶最小二乘法和三阶最小二乘法作为模型参数估计算法,建立地上总生物量与各组分生物量的相容性模型,比较不同相容性生物量模型的拟合效果。结果: 在3种参数估计算法下,2种结构的生物量模型均能解决地上生物量与干、枝、叶各组分生物量之间的相容性问题,各组分生物量模型的确定系数都在0.8以上,地上生物量模型的确定系数最高,树叶生物量模型的确定系数最低;使用相同的参数估计算法,2种结构的相容性生物量拟合效果差异不大;对比3种参数估计算法,采用二阶最小二乘法和三阶最小二乘法拟合的相容性生物量模型的参数估计值和评价指标是一致的,而与普通最小二乘法差别较大,但使用普通最小二乘法的拟合精度更高,且计算过程更简单。结论: 鉴于林业实践中通常以计算地上生物量为主要目的,利用基于普通最小二乘法得到的比例总量直接控制模型,可以以较高的预估精度直接计算出地上生物量,具有良好应用前景。

关键词: 最小二乘法, 相容性生物量模型, 青冈栎次生林, 比例总量直接控制, 代数和控制

Abstract:

Objective: Biomass model is an effective method to estimate forest biomass,and nonlinear simultaneous equations are common method to construct compatible biomass model. This article takes Cyclobalanopsis glauca as an example to compared two common biomass model construction method and three parameter estimation algorithms,so as to select the best biomass model construction method and algorithms,and provide technical support for model construction and biomass studies. Method: Based on abore-ground biomass data of 25 trees of C.glauca. In South China,the compatible biomass models of controlling directly by proportion functions and controlling by the sum of equations were selected,and ordinary least square (OLS),two-stage least square (2SLS) and three-stage least square (3SLS) were used as estimation algorithms. Establishing the compatibility model of the above-ground biomass and the biomass of each component,and comparing the fitting effect of various compatible biomass models. Result: Under three kinds of parameter estimation algorithms,these two biomass models both can guarantee the compatibility between above-ground biomass and biomass of stem,branch and leaf components.The determination coefficient of each component biomass model is above 0.8,the determination coefficient of above-ground biomass model is the highest,and the determination coefficient of the leaf biomass model is the lowest. Using the same parameter estimation algorithm,there is not much difference in the fitting effect of compatible biomass between the two structures. Comparing three parameter estimation algorithms,parameter estimation values and evaluation indexes of compatible biomass model,that indicated by two-stage least square and three-stage least-squares are consistent respectively. However,the result obtained by ordinary least square are quite different which is distinguished by a higher fitting accuracy and a simpler calculation process. Conclusion: Considering the main purpose in forestry practice is usually to calculate above-ground biomass,the controlling directly by proportion functions based on the ordinary least square can immediately calculate the above-ground biomass with high estimation accuracy,and has good application prospects.

Key words: least square, compatible biomass models, Cyclobalanopsis glauca secondary forest, controlling directly by proportion functions, controlling by the sum of equations

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