| 摘要: |
| 为 构 建 根 径 - 胸 径 回 归 模 型 推 算 内 蒙 古 自 治 区 赤 峰 市 北 部 的 赤 峰 杨 Populus × xiaohei
var. xiaozhuanica 立木材积, 研究于 2024 年选择郁闭度大于 0. 2 的赤峰杨人工林, 在不同龄组共 32 个小
班中选取 925 株样本, 根径范围为 8~ 40 cm。 测量样本根径 (D0. 05 ) 和胸径 (D1. 3 ), 使用线性、 对数函
数、 多项式函数、 幂函数共 4 种数学模型对根径与胸径的相关关系进行拟合并检验。 结果表明, 根径-胸
径多项式函数数学模型的离差平方和、 相对误差平均值和相对误差绝对值的平均值最小, 相关系数接近
1, 总相对误差位于 [-5, 5] 区间, F≤F0. 05 , 公式 D1. 3
= - 4. 451 2 + 1. 075 4 ×D0. 05
- 0. 004 6 ×D0. 05
2 可
描述赤峰北部区域赤峰杨胸径与根径的回归关系。 该模型可在涉及盗伐、 滥伐案件, 且现地只有伐根的
条件下计算赤峰杨胸径, 再根据一元材积表推算立木材积。 |
| 关键词: 赤峰杨 根径 胸径 回归关系 |
| DOI：10. 20221 / j. cnki. 2096-2053. 202504014 |
| 分类号: |
| 基金项目: |
|
| Construction of A Regression Model between Root Diameter and Diameter at Breast Height of Populus×xiaohei var. xiaozhuanica |
|
Jia gang, Li Da-rui, Liu Zi-bo, Kong Cui-xia, Zhou Zhi-feng
|
|
Academy of Inventory and Planning, National Forestry and Grassland Administration
|
| Abstract: |
| To develop a root diameter-DBH regression model for estimating the standing timber volume of
Populus×xiaohei var. xiaozhuanica in northern Chifeng City, Inner Mongolia Autonomous Region, this study
selected 925 sample trees of P. ×xiaohei var. xiaozhuanica from 32 subcompartments across different age groups
in 2024. These samples were collected from pure plantations with a canopy density greater than 0. 2, with root
diameters ranging from 8 to 40 cm. The root diameter (D0. 05 ) and DBH (D1. 3 ) of the samples were measured,
and four mathematical models - linear function, logarithmic function, polynomial function, and power function—were used to fit the correlation between root diameter and DBH, followed by model verification. The results showed that among the selected models, the polynomial function model for root diameter -DBH had the
smallest sum of squared deviations, average relative error, and average absolute relative error. Its correlation
coefficient was close to 1, the total relative error fell within the range of [ -5, 5], and F≤F0. 05
. Therefore,
this formula can describe the relationship between DBH and root diameter of P. ×xiaohei var. xiaozhuanica in
northern Chifeng. This model can be used to calculate the DBH of trees when only stumps are present in cases involving illegal logging or overlogging, and then the standing timber volume can be estimated using an univariate volume table. |
| Key words: Populus×xiaohei var. xiaozhuanica root diameter diameter at breast height regression relationship |
