基于边际回归的沈阳市绿化树种人工油松冠形模拟

doi:10.13287/j.1001-9332.202211.008

应用生态学报 ›› 2022, Vol. 33 ›› Issue (11): 2915-2922.doi: 10.13287/j.1001-9332.202211.008

基于边际回归的沈阳市绿化树种人工油松冠形模拟

刘家腾¹, 赵雪晗¹, 刘伟韬¹, 李建荣¹, 蒋丽娟¹, 周宇航¹, 高慧淋^1*, 顾巍²

¹沈阳农业大学林学院, 沈阳 110866;
²国有清原满族自治县北三家林场, 辽宁抚顺 113316

收稿日期:2022-05-16 修回日期:2022-09-04 出版日期:2022-11-15 发布日期:2023-05-15
通讯作者: *E-mail: ghl2017@syau.edu.cn
作者简介:刘家腾, 男, 2000年生, 硕士研究生。主要从事林分生长与收获模型研究。E-mail: ljt17302487851@163.com
基金资助:
沈阳农业大学大学生创新创业训练计划项目(SNDC301)

Crown shape model for planted greening tree species Pinus tabuliformis in Shenyang based on marginal regression.

LIU Jia-teng¹, ZHAO Xue-han¹, LIU Wei-tao¹, LI Jian-rong¹, JIANG Li-juan¹, ZHOU Yu-hang¹, GAO Hui-lin^1*, GU Wei²

¹College of Forestry, Shenyang Agricultural University, Shenyang 110866, China;
²Beisanjia Forest Farm in Qingyuan County, Fushun 113316, Liaoning, China

Received:2022-05-16 Revised:2022-09-04 Online:2022-11-15 Published:2023-05-15

摘要/Abstract

摘要： 构建城市典型绿化树种树冠外部轮廓预估模型,可以为城市绿化树种的空间配置优化奠定基础。本研究以辽宁省沈阳市典型绿化树种人工油松为对象,基于Crown Window装置获取60株样木树冠形状,利用幂函数、分段抛物线方程和修正Kozak方程选取基础模型,通过再参数化引入树冠结构因子(最大树冠半径)和相邻木竞争变量(相邻木平均树高、平均胸径、平均冠幅、相邻木株数,以及样木与其相邻木平均树冠接触高),构建耦合相邻木竞争及树冠结构因子的油松树冠外部轮廓预估模型。结果表明: 修正Kozak方程R_a²最大、均方根误差(RMSE)最小,模型稳定性良好,选取其为构建油松冠形模型的基础模型。通过再参数化在基础模型中引入最大树冠半径和相邻木平均胸径后,模型的R_a²提高0.0693,MSER为14.4%。分析最大树冠半径和相邻木竞争对油松树冠形状的影响发现,最大树冠半径对树冠形状影响较大,树冠半径随最大树冠半径增大而增大;相邻木平均胸径对树冠形状影响相比最大树冠半径较弱,树冠上半部分随相邻木竞争增强而增大,树冠下半部分随相邻木竞争增强而变小。本研究构建的耦合相邻木竞争及最大树冠半径的油松树冠外部轮廓边际回归模型具有良好的拟合优度,能够合理地模拟及预测沈阳市典型绿化树种人工油松的树冠形状。

关键词: 树冠外部轮廓, 边际回归模型, 人工油松, 绿化树种

Abstract: Developing outer crown profile prediction models of typical urban greening tree species will lay a foundation for the spatial allocation optimization of urban greening. In this study, Pinus tabuliformis, a typical greening tree species in Shenyang, was selected as the research object. Based on the Crown Window device, a total of 60 sample trees were selected to measure the crown shape, with power equation, segmented polynomial equation, and modified Kozak equation as the basic models. By introducing crown structure variables (the maximum crown radius) and neighbour competition variables (mean tree height, mean diameter at breast height, mean crown width, number for the neighbour trees, and mean crown contact height between sample trees and neighbour trees) through reparameterization, we constructed an outer crown shape model of P. tabuliformis that incorporates neighbour tree competition and maximum crown radius. The results showed that modified Kozak equation had the largest R_a² and the smallest RMSE, as well as good stability. After introducing the maximum crown radius and the mean DBH of neighbour trees into the basic model through reparameterization, the R_a² of the model increased by 0.0693 and the MSER was 14.4%. The maximum crown radius had a great influence on the crown shape, while the crown radius increased with the increases of the maximum crown radius. The influence of mean DBH of neighbour trees on crown shape was weaker than that of maximum crown radius. The upper part of crown increased and the lower part of crown decreased with increasing neighbour tree competition. In this study, the marginal regression outer crown profile model of P. tabuliformis coupled with neighbour tree competition and the maximum crown radius showed good goodness of fit and could reasonably simulate and predict the crown shape of planted P. tabuliformis.

Key words: outer crown profile, marginal regression model, planted Pinus tabuliformis, greening tree species

刘家腾, 赵雪晗, 刘伟韬, 李建荣, 蒋丽娟, 周宇航, 高慧淋, 顾巍. 基于边际回归的沈阳市绿化树种人工油松冠形模拟[J]. 应用生态学报, 2022, 33(11): 2915-2922.

LIU Jia-teng, ZHAO Xue-han, LIU Wei-tao, LI Jian-rong, JIANG Li-juan, ZHOU Yu-hang, GAO Hui-lin, GU Wei. Crown shape model for planted greening tree species Pinus tabuliformis in Shenyang based on marginal regression.[J]. Chinese Journal of Applied Ecology, 2022, 33(11): 2915-2922.

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基于边际回归的沈阳市绿化树种人工油松冠形模拟

Crown shape model for planted greening tree species Pinus tabuliformis in Shenyang based on marginal regression.

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