中南林业科技大学学报

江西省崇义县亚热带阔叶次生林栲属优势树种生长模型构建

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贺鹏 ¹ , 陈鼎泸 ² , 邹凯伦 ³ , 王占印 ⁴ , 宁金魁 ⁵ , 吴亚通 ⁵ , 臧颢 ⁵ , 杨璐 ³ , 刘宪钊 ³

中南林业科技大学学报 | 林学 2026,46(7): 13-21

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中南林业科技大学学报 |林学 2026 , 46 (7) : 13 -21

江西省崇义县亚热带阔叶次生林栲属优势树种生长模型构建

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贺鹏¹, 陈鼎泸², 邹凯伦³, 王占印⁴, 宁金魁⁵, 吴亚通⁵, 臧颢⁵, 杨璐³, 刘宪钊³

作者信息

^1.国家林业和草原局　中南调查规划院，湖南　长沙　410014

^2.崇义县林业技术推广中心，江西　崇义　341300

^3.中国林业科学研究院　a. 资源信息研究所；b. 林木资源高效生产全国重点实验室；c. 国家林业和草原局森林经营与生长模拟重点实验室，北京　100091

^4.江西省森林资源保护中心，江西　南昌　330036

^5.江西农业大学　林学院，江西　南昌　330045

通讯作者:

邹凯伦（zoukailun@ifrit.ac.cn），博士研究生。

作者简介:

贺鹏（694186588@qq.com），高级工程师，硕士。

Development of growth models for dominant Castanopsis species in subtropical broadleaf secondary forests in Chongyi County, Jiangxi Province

Peng He¹, Dinglu Chen², Kailun Zou³, Zhanyin Wang⁴, Jinkui Ning⁵, Yatong Wu⁵, Hao Zang⁵, Lu Yang³, Xianzhao Liu³

Affiliations

^1.Central South Academy of Inventory and Planning, National Forestry and Grassland Administration, Changsha 410014, Hunan, China

^2.Chongyi County Forestry Technology Extension Center, Chongyi 341300, Jiangxi, China

^3.a. Institute of Forest Resource Information Techniques; b. State Key Laboratory of Efficient Production of Forest Resources; c. Key Laboratory of Forest Management and Growth Modelling, Chinese Academy of Forestry, Beijing 100091, China

^4.Jiangxi Forest Resources Protection Center, Nanchang 330036, Jiangxi, China

^5.College of Forestry, Jiangxi Agricultural University, Nanchang 330045, Jiangxi, China

出版时间: 2026-07-25 doi: 10.14067/j.cnki.1673-923x.2026.07.002

文章导航

摘要

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【目的】

揭示江西省崇义县亚热带阔叶次生林中3种栲属树种的生长节律与生态策略差异，为该地区及类似亚热带次生林的分类经营、结构调控和可持续管理提供理论依据，并为小样本条件下开展多维度树木生长模拟提供方法参考。

【方法】

以江西省崇义县亚热带阔叶次生林中丝栗栲Castanopsis fargesii、罗浮锥C. faberi和米槠C. carlesii共3个优势树种的优势木为研究对象，采用树干解析法获取年轮宽度等高精度生长动态数据。基于年轮时间序列，选用Logistic、Gompertz、Hossfeld Ⅳ、Korf和Richards 5种经典生长模型，分别对3个树种的胸径、树高和材积的生长过程进行拟合，通过拟合效果筛选出各生长指标的最优模型。基于最优基础模型，构建胸径-树高-材积的联立非线性相容性模型，并采用似乎不相关回归（Seemingly unrelated regression，SUR）方法进行联合建模；同时引入对数变换对异速生长方程进行误差校正，提升模型拟合稳定性。结合模型结果，进一步分析3个树种在生长速率与成熟节律方面的差异特征。

【结果】

Richards模型在3个树种的多个生长维度中表现出最佳拟合效果。基于SUR方法构建的相容性模型显示，胸径与材积（相关系数为0.875 1）、胸径与树高（相关系数为0.682 0）之间存在显著残差相关性，验证了联合建模的合理性。异速生长方程经对数变换后，平均系统误差显著降低（降幅达18.7%～56.7%），模型决定系数（R²）保持在较高水平，拟合稳定性和精度显著提升。生长特征分析表明，罗浮锥和米槠具备更强的早期生长潜力与快速成熟优势，适合用于追求材积积累的林分经营目标；然而，丝栗栲虽生长较慢，但生态适应性强，适宜配置于生态功能型林分。

【结论】

本研究在样本量有限的条件下，成功构建了3种优势槠栲类树种胸径、树高与材积的非线性相容性模型，并通过SUR方法有效识别了生长维度间的耦合关系。同时，引入对数变换优化了异速生长建模效果。在此基础上，通过对连年生长量与平均生长量的综合分析，进一步揭示3种栲属树种在胸径、树高与材积生长速率及成熟节律上的显著差异；其中，罗浮锥和米槠表现为快速生长型策略，丝栗栲则表现为稳定保守型策略，体现了不同树种在资源利用方式及环境适应策略上的差异。

关键词

亚热带阔叶次生林 / 树干解析 / 优势木 / 相容性生长模型

Abstract

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【Objective】

To reveal the differences in growth rhythms and ecological strategies among three dominant Castanopsis species in the subtropical broadleaved secondary forests of Chongyi County, Jiangxi Province, and to provide a theoretical basis for classified management, structural regulation, and sustainable management of this region and similar subtropical secondary forests, as well as methodological references for multidimensional tree growth simulation under small-sample conditions.

【Method】

Three dominant Castanopsis species-C. fargesii, C. faberi, and C. carlesii-in the subtropical secondary forests of Chongyi County were selected for analysis. Sample trees were subjected to stem analysis to obtain precise time-series data of annual radial growth. Five classic growth functions (Logistic, Gompertz, Hossfeld IV, Korf, and Richards) were applied to fit and compare the growth processes of DBH, height, and volume for each species. The Richards model, identified as the best-fitting function in most cases, was used to construct a system of nonlinear compatible growth equations. These equations were then estimated using the seemingly unrelated regression (SUR) method. Additionally, logarithmic transformation was introduced to correct heteroscedasticity in allometric growth models, thereby improving model stability. Based on the modeling results, growth rate and maturation patterns of the three species were further compared and analyzed.

【Result】

Among the five tested models, the Richards function provided the best fit across multiple growth dimensions. The SUR-based compatible model revealed significant residual correlations between DBH and volume (r=0.875 1), and between DBH and height (r=0.682 0), validating the necessity of joint modeling. After logarithmic transformation, the allometric models exhibited a substantial reduction in mean systematic error (18.7% to 56.7%), while maintaining high R² values and stable fitting performance. Growth pattern analysis showed that C. faberi and C. carlesii had stronger early growth potential and faster maturation, making them suitable for timber-oriented management. In contrast, C. fargesii exhibited a slower growth rate but demonstrated strong ecological adaptability, making it ideal for deployment in ecological conservation forests.

【Conclusion】

Under limited sample conditions, this study successfully developed nonlinear compatible models for DBH, height, and volume of three dominant Castanopsis species, and effectively identified interrelationships among growth dimensions using the SUR method. The introduction of logarithmic transformation significantly improved the performance of the allometric models by reducing heteroscedasticity. Furthermore, through a comprehensive analysis of current annual increment and mean annual increment, the study further reveals significant differences among the three Castanopsis species in growth rates of diameter at breast height, tree height, and stem volume, as well as in maturation patterns. C. faberi and C. carlesii exhibit a fast-growing strategy, whereas C. fargesii shows a stable and conservative strategy, reflecting interspecific differences in resource utilization and environmental adaptation.

Key words

subtropical broadleaf secondary forest / stem analysis / dominant trees / compatibility growth model

引用本文

贺鹏, 陈鼎泸, 邹凯伦, 王占印, 宁金魁, 吴亚通, 臧颢, 杨璐, 刘宪钊. 江西省崇义县亚热带阔叶次生林栲属优势树种生长模型构建. 中南林业科技大学学报, 2026 , 46 (7) : 13 -21 . DOI: 10.14067/j.cnki.1673-923x.2026.07.002

Peng He, Dinglu Chen, Kailun Zou, Zhanyin Wang, Jinkui Ning, Yatong Wu, Hao Zang, Lu Yang, Xianzhao Liu. Development of growth models for dominant Castanopsis species in subtropical broadleaf secondary forests in Chongyi County, Jiangxi Province[J]. Journal of Central South University of Forestry & Technology, 2026 , 46 (7) : 13 -21 . DOI: 10.14067/j.cnki.1673-923x.2026.07.002

基金

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国家重点研发计划项目(2022YFD2200504)
国家自然科学基金项目(32271878)

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2026年第46卷第7期

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文章信息

doi: 10.14067/j.cnki.1673-923x.2026.07.002

接收时间：2025-07-04
首发时间：2026-10-30
出版时间：2026-07-25

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出版历史

收稿日期：2025-07-04
修回日期：2025-09-23

基金

国家重点研发计划项目(2022YFD2200504)

国家自然科学基金项目(32271878)

作者信息

^1.国家林业和草原局　中南调查规划院，湖南　长沙　410014

^2.崇义县林业技术推广中心，江西　崇义　341300

^3.中国林业科学研究院　a. 资源信息研究所；b. 林木资源高效生产全国重点实验室；c. 国家林业和草原局森林经营与生长模拟重点实验室，北京　100091

^4.江西省森林资源保护中心，江西　南昌　330036

^5.江西农业大学　林学院，江西　南昌　330045

通讯作者:

邹凯伦（zoukailun@ifrit.ac.cn），博士研究生。

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2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

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