基于改进林分密度指数的栎类天然林最大密度线

doi:10.11707/j.1001-7488.LYKX20210959

摘要/Abstract

摘要： 目的构建栎类天然林最大密度线，探究栎类天然林自稀疏规律，从理论上丰富种群生态学，为天然林林分密度管理与控制提供理论参考。方法以湖南省265块栎类天然林连续清查样地为研究对象，对现有林分密度指数进行改进，采用分位数回归和随机前沿分析评估Reineke林分密度指数和改进林分密度指数在构建栎类天然林最大密度线方面的适用性，并对不同林分类型栎类天然林的自稀疏特点进行分析。结果与Reineke林分密度模型相比，改进林分密度模型的预测误差显著降低（P<0.05），模型以林分平均胸径和优势树种平均高为基础变量，能够更好诠释林分自稀疏的内涵；随机前沿分析方法在模拟天然林最大密度线模型方面更加客观且精度较高，分位数回归方法也可提供有价值的补充；天然混交林自稀疏过程受林分平均胸径和优势树种平均高的共同影响，林分平均胸径越大，自稀疏速率越快；林分优势树种平均高越大，林分可容纳株数越多。天然林自稀疏速率在不同类型林分之间存在显著差异（P<0.05），栎类相对纯林的自稀疏速率更快、死亡率更高。结论构建栎类天然林最大密度线，探究其自稀疏规律，可为栎类天然林自稀疏状态的判别提供定量依据，有助于精准提升栎类天然林林分质量，更好把握天然林的自稀疏动态。

关键词: 自稀疏规则, 最大密度线, 林分密度指数, 天然林, 栎类

Abstract: Objective To construct the maximum density-size line and explore the self-thinning rule of oak natural forest, the study aims to enrich the theory of population ecology and provide a theoretical reference for the management and control of forest stand density in natural forests.Method Using data from 265 continuous inventory plots of oak mixed forests in Hunan Province, the stand density index was improved. The applicability of Reineke density index and the improved density index in constructing the maximum density line of oak natural forests was evaluated using quantile regression and stochastic frontier analysis. The self-thinning rule of oak natural forest with different stand types were also analyzed.Result Compared with Reineke’s stand density model, the improved stand density model significantly reduced prediction errors (P<0.05). The improved stand density model, based on mean diameter at breast height and mean height of dominant tree species, could better interpret the meaning of self-thinning in forest stands. The stochastic frontier model was more objective and accurate in simulating the maximum density-size model, and the quantile regression method can also provide a valuable supplement. The self-thinning process of natural mixed forest was determined by the average diameter and the average height of dominant tree species. The larger the mean stand diameter was, the faster the rate of self-thinning was. The higher the average height of dominant tree species, the more plants could be accommodated. Moreover, the rate of self-thinning showed significantly different among different types of oak stands (P<0.05), and the oak pure forest showed a faster rate and a higher mortality. Conclusion The study of maximum density-size model and self-thinning rule can provide a quantitative basis for the identification of the self-thinning state of the oak natural forest, and help to improve the quality of the oak natural forest and grasp the dynamics of the self-thinning.

Key words: self-thinning rule, maximum density-size line, stand density index, natural forest, oak

中图分类号:

S757

龙时胜, 曾思齐, 杨盛扬. 基于改进林分密度指数的栎类天然林最大密度线[J]. 林业科学, 2023, 59(9): 13-22.

Long Shisheng, Zeng Siqi, Yang Shengyang. Maximum Density-Size Line for Oak Natural Forest Based on Improved Stand Density Index[J]. Scientia Silvae Sinicae, 2023, 59(9): 13-22.

参考文献

高慧淋, 董利虎, 李凤日. 2016. 基于分位数回归的长白落叶松人工林最大密度线. 应用生态学报, 27(11): 3420-3426.
Gao H L, Dong L H, Li F R. 2016. Maximum density-size line for Larix olgensis plantations based on quantile regression. Chinese Journal of Applied Ecology, 27(11): 3420-3426. [in Chinese]
官秀玲, 胡艳波. 2019. 我国栎类经营及其发展方向研究. 西部林业科学, 48(2): 146-150, 158.
Guan X L, Hu Y B. 2019. Research on oak forest management orientation of China. Journal of West China Forestry Science, 48(2): 146-150, 158. [in Chinese]
国家林业和草原局. 2019. 中国森林资源报告. 北京: 中国林业出版社.
National Forestry and Grassland Administration. 2019. China forest resources report. Beijing: China Forestry Publishing House.［in Chinese］
贺姗姗. 2009. 北京山区油松人工林林分结构与生长模拟研究. 北京: 北京林业大学.
He S S. 2009. Research on structure and growth of Pinus tabulaeformis stand simulation in Beijing. Beijing: Beijing Forestry University.［in Chinese］
贾茜, 贾忠奎, 孙启越, 等. 2021. 油松建筑材密度管理图的编制及其应用. 东北林业大学学报, 49(2): 65-69.
Jia X, Jia Z K, Sun Q Y, et al. 2021. Preparation and application of density management map of Pinus tabulaeformis. Journal of Northeast Forestry University, 49(2): 65-69. [in Chinese]
李凤日, 刘兆刚, 时雅滨. 1995. 落叶松人工林林分极限密度确定方法的研究. 东北林业大学学报, 23(3): 1-9.
Li F R, Liu Z G, Shi Y B. 1995. Study on the approach to determine limited stand density for larch plantation. Journal of Northeast Forestry University, 23(3): 1-9. [in Chinese]
李凤日. 1995. 林分密度研究评述: 关于3/2乘则理论. 林业科学研究, 8(1): 25-32.
Li F R. 1995. A review on stand density: about the 3/2 power law. Rorest Research, 8(1): 25-32. [in Chinese]
李轩然, 刘琪璟, 蔡哲, 等. 2007. 千烟洲针叶林的比叶面积及叶面积指数. 植物生态学报, 31(1): 93-101.
Li X R, Liu Q J, Cai Z, et al. 2007. Specific leaf area and leaf area index of conifer plantations in Qianyanzhou station of subtropical China. Journal of Plant Ecology, 31(1): 93-101. [in Chinese]
刘兴良, 刘世荣, 宿以明, 等. 2006. 巴郎山川滇高山栎灌丛地上生物量及其对海拔梯度的响应. 林业科学, 42(2): 1-7.
Liu X L, Liu S R, Su Y M, et al. 2006. Aboveground biomass of Quercus aquifolioides shrub community and its responses to altitudinal gradients in Balangshan Mountain, Sichuan Province. Scientia Silvae Sinicae, 42(2): 1-7. [in Chinese]
刘振国, 李镇清. 2005. 植物群落中物种小尺度空间结构研究. 植物生态学报, 29(6): 1020-1028.
Liu Z G, Li Z Q. 2005. Perspectives on small-scale spatial structure of plant species in plant communities. Acta Phytoecologica Sinica, 29(6): 1020-1028. [in Chinese]
孙洪刚, 张建国, 段爱国. 2010. 数据点选择与参数估计方法对杉木人工林自疏边界线的影响. 植物生态学报, 34(4): 409-417.
Sun H G, Zhang J G, Duan A. 2010. A comparison of selecting data points and fitting coefficients methods for estimating self-thinning boundary line. Chinese Journal of Plant Ecology, 34(4): 409-417. [in Chinese]
田德超, 李凤日, 董利虎. 2019. 依据分位数回归建立的长白落叶松潜在最大冠幅预测模型. 东北林业大学学报, 47(8): 41-46.
Tian D C, Li F R, Dong L H. 2019. Potential maximum crown width prediction model of Larix olgensis by quantile regression. Journal of Northeast Forestry University, 47(8): 41-46. [in Chinese]
熊登煜, 王　建. 2012. 湖北九宫山成熟常绿落叶阔叶混交林3种优势种的邻域效应研究. 植物科学学报, 30(2): 141-146.
Xiong D Y, Wang J. 2012. Study on neighbor effects of three dominant species in the evergreen-deciduous mixed forest in Jiugongshan natural reserve. Plant Science Journal, 30 (2): 141-146.［in Chinese］
张忠华, 胡刚, 秦川, 等. 2016. 青秀山风景区优势种大叶栎种内与种间的竞争关系. 中南林业科技大学学报, 36(1): 67-71, 85.
Zhang Z H, Hu G, Qin C, et al. 2016. Intraspecific and interspecific competition of dominant tree Castanopsis fissa in Qingxiushan Scenic Spot, Guangxi, Southern China. Journal of Central South University of Forestry & Technology, 36(1): 67-71, 85. [in Chinese]
朱光玉, 徐奇刚, 吕勇. 2018. 湖南栎类天然次生林林分空间结构对灌木物种多样性的影响. 生态学报, 38(15): 5404-5412.
Zhu G Y, Xu Q G, Lü Y. 2018. Effects of stand spatial structure on species diversity of shrubs in Quercus spp. natural secondary forests in Hunan Province. Acta Ecologica Sinica, 38(15): 5404-5412. [in Chinese]
Andrews C, Weiskittel A, D’ Amato A W, et al. 2018. Variation in the maximum stand density index and its linkage to climate in mixed species forests of the north American Acadian region. Forest Ecology and Management, 417: 90-102.
Bi H Q, Wan G H, Turvey N D. 2000. Estimating the self-thinning boundary line as a density-dependent stochastic biomass frontier. Ecology, 81(6): 1477-1483.
Briegleb P A. 1952. An approach to density measurement in Douglas-fir. Journal of Forestry, 50(7): 529-536.
Condés S, Vallet P, Bielak K, et al. 2017. Climate influences on the maximum size-density relationship in Scots pine (Pinus sylvestris L. ) and European beech (Fagussylvatica sylvatica L. ) stands. Forest Ecology and Management, 385: 295-307.
Ducey M J, Knapp R A. 2010. A stand density index for complex mixed species forests in the northeastern United States. Forest Ecology and Management, 260(9): 1613-1622.
Harold J B, Chen J. 1996. Kinetic thinning in one-dimensional self-consistent current sheets. Journal of Geophysical Research: Space Physics, 101(A11): 24899-24909.
Hart H M J. 1926. Stem density and thinning: pilot experiment to determine the best spacing and thinning methods of teak. Proefsta. Boschwesen, Batavia, Meded, 21.
Newton P E. 2006. Asymptotic size-density relationships within self-thinning black spruce and jack pine stand-types: parameter estimation and model reformulations. Forest Ecology and Management, 226(1/2/3): 49-59.
Pretzsch H, Biber P. 2005. A re-evaluation of Reineke’s rule and stand density index. Forest Science, 51(4): 304-320.
Reineke L. 1933. Perfecting a stand-density index for even-aged forests. Journal of Agriculture Research, 46: 627-638.
Scharf F S, Juanes F, Sutherland M. 1998. Inferring ecological relationships from the edges of scatter diagrams: comparison of regression techniques. Ecology, 79(2): 448-460.
Schumaher F X. 1939. A new growth curve and its application to timber-yield studies. Forest Science, 37: 819-820.
Solomon D S, Zhang L J. 2002. Maximum size-density relationships for mixed softwoods in the northeastern USA. Forest Ecology and Management, 155(1/2/3): 163-170.
Sun S C, Cao Q V, Cao T J. 2019. Characterizing diameter distributions for uneven-aged pine-oak mixed forests in the Qinling Mountains of China. Forests, 10(7): 596.
Tian D C, Bi H Q, Jin X J, et al. 2021. Stochastic frontiers or regression quantiles for estimating the self-thinning surface in higher dimensions? Journal of Forestry Research, 32(4): 1515-1533.
Weiskittel A, Gould P, Temesgen H. 2009. Sources of variation in the self-thinning boundary line for three species with varying levels of shade tolerance. Forest Science, 55(1): 84-93.
Westoby M. 1984. The self-thinning rule. Advances in Ecological Research. Amsterdam: Elsevier, 167-225.
Yang S I, Burkhart H E. 2017. Estimation of carrying capacity in loblolly pine (Pinus taeda L.). Forest Ecology and Management, 385: 167-176.
Yoda K, Kira T, Ogawa H, et al. 1963. Self-thinning in overcrowded pure stands under cultivated and natural conditions. Journal of Biology, Osaka City University, 14: 107-129.
Zeide B. 1987. Analysis of the 3/2 power law of self-thinning. Forest Science, 33(2): 517-537.
Zeide B. 1995. A relationship between size of trees and their number. Forest Ecology and Management, 72(2/3): 265-272.
Zeide B. 1991. Self-thinning and stand density. Forest Science, 37(2): 517-523.
Zhang L J, Bi H Q, Gove J H, et al. 2005. A comparison of alternative methods for estimating the self-thinning boundary line. Canadian Journal of Forest Research, 35(6): 1507-1514.

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