[1] 汤孟平. 森林空间结构研究现状与发展趋势[J]. 林业科学, 2010, 46(1): 117 − 122.

TANG Mengping. Advances in study of forest spatial structure [J]. Sci Silv Sin, 2010, 46(1): 117 − 122.
[2] 曹小玉, 李际平. 林分空间结构指标研究进展[J]. 林业资源管理, 2016(4): 65 − 73.

CAO Xiaoyu, LI Jiping. Research progress on indicators of the stand spatial structure [J]. For Resour Manage, 2016(4): 65 − 73.
[3] 杨春菊. 临安市马尾松林分因子与地形关系的研究[D]. 杭州: 浙江农林大学, 2016.

YANG Chunju. Relationship between Stand Factors of Pinus massoniana and Topography in Linan [D]. Hangzhou: Zhejiang A&F University, 2016.
[4] van DO T, SATO T, SAITO S, et al. Effects of micro-topographies on stand structure and tree species diversity in an old-growth evergreen broad-leaved forest, southwestern Japan [J]. Global Ecol Conserv, 2015, 4: 185 − 196.
[5] 汤孟平, 周国模, 施拥军, 等. 不同地形条件下群落物种多样性与胸高断面积的差异分析[J]. 林业科学, 2007, 43(6): 27 − 31.

TANG Mengping, ZHOU Guomo, SHI Yongjun, et al. Difference analysis of community biodiversity and basal area under different terrain [J]. Sci Silv Sin, 2007, 43(6): 27 − 31.
[6] 范叶青, 周国模, 施拥军, 等. 地形条件对毛竹林分结构和植被碳储量的影响[J]. 林业科学, 2013, 49(11): 177 − 182.

FAN Yeqing, ZHOU Guomo, SHI Yongjun, et al. Effects of terrain on stand structure and vegetation carbon storage of Phyllostachys edulis forest [J]. Sci Silv Sin, 2013, 49(11): 177 − 182.
[7] 杨帆, 汤孟平. 毛竹林立地与结构的关系及其对生物量的影响[J]. 浙江农林大学学报, 2020, 37(5): 823 − 832.

YANG Fan, TANG Mengping. Relationship between site and structure and its influence on biomass in Phyllostachys edulis forest [J]. J Zhejiang A&F Univ, 2020, 37(5): 823 − 832.
[8] 于顺龙. 坡向、坡位对水曲柳中龄林生长与生物量分配的影响[J]. 内蒙古林业调查设计, 2009, 32(1): 54 − 56.

YU Shunlong. Influence of aspect and position of slope on the growth and biomass allocation of mid-age Fraxinus mandshurica [J]. Inn Mong For Invest Des, 2009, 32(1): 54 − 56.
[9] 何怀江, 张春雨, 赵秀海, 等. 吉林蛟河次生针阔混交林群落结构与微地形关系[J]. 东北林业大学学报, 2014, 42(5): 13 − 17, 33.

HE Huaijiang, ZHANG Chunyu, ZHAO Xiuhai, et al. Associations between community structure and microtopography in mixed broadleaved-conifer forest of Jiaohe, Jilin Province [J]. J Northeast For Univ, 2014, 42(5): 13 − 17, 33.
[10] 李建军, 刘帅, 张会儒, 等. 洞庭湖森林生态系统空间结构均质性评价[J]. 生态学报, 2013, 33(12): 3732 − 3741.

LI Jianjun, LIU Shuai, ZHANG Huiru, et al. Heterogeneity evaluation of forest ecological system spatial structure in Dongting Lake [J]. Acta Ecol Sin, 2013, 33(12): 3732 − 3741.
[11] 曹旭鹏. 基于改进GAPSO的森林空间结构多目标优化研究[D]. 长沙: 中南林业科技大学, 2014.

CAO Xupeng. The Research on Multi-objective Optimization of Forest Spatial Structure based on GAPSO [D]. Changsha: Central South University of Forestry and Technology, 2014.
[12] 柴宗政. 基于相邻木关系的森林空间结构量化评价及R语言编程实现[D]. 杨凌: 西北农林科技大学, 2016.

CHAI Zongzheng. Quantitative Evaluation and R Programming of Forest Spatial Structure based on the Relationship and Neighborhood Trees[D]. Yangling: Northwest A&F University, 2016.
[13] 刘帅. 天然次生林林分结构分析及多目标智能优化研究[D]. 长沙: 中南林业科技大学, 2017.

LIU Shuai. Research on the Analysis and Multi-objective Intelligent Optimization of Stand Structure of Natural Secondary Forest [D]. Changsha: Central South University of Forestry and Technology, 2017.
[14] LIN Chinsu, TSOGT K, TSOGT Z. A decompositional stand structure analysis for exploring stand dynamics of multiple attributes of a mixed-species forest [J]. For Ecol Manage, 2016, 378: 111 − 121.
[15] 王宏翔. 天然林林分空间结构的二阶特征分析[D]. 北京: 中国林业科学研究院, 2017.

WANG Hongxiang. Analysis of Second-order Characteristic of Stand Spatial Structure of Natural Forests[D]. Beijing: Chinese Academy of Forestry, 2017.
[16] 董灵波, 刘兆刚, 李凤日, 等. 大兴安岭主要森林类型林分空间结构及最优树种组成[J]. 林业科学研究, 2014, 27(6): 734 − 738.

DONG Lingbo, LIU Zhaogang, LI Fengri, et al. Quantitative analysis of forest spatial structure and optimal species composition for the main forest types in Daxing’anling, northeast China [J]. For Res, 2014, 27(6): 734 − 738.
[17] 朱光玉, 徐奇刚, 吕勇. 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[J]. 生态学报, 2018, 38(15): 5404 − 5412.

ZHU Guangyu, XU Qigang, LÜ Yong. Effects of stand spatial structure on species diversity of shrubs in Quercus spp. natural secondary forests in Hunan Province [J]. Acta Ecol Sin, 2018, 38(15): 5404 − 5412.
[18] 姜廷山, 王鹤智, 董灵波, 等. 不同抚育强度对兴安落叶松林空间结构的影响[J]. 东北林业大学学报, 2018, 46(12): 9 − 14, 19.

JIANG Tingshan, WANG Hezhi, DONG Lingbo, et al. Effects of different intermediate cutting intensities on the spatial structure of Larix gmelinii forest [J]. J Northeast For Univ, 2018, 46(12): 9 − 14, 19.
[19] PAAP T, BURGESS T I, ROLO V, et al. Anthropogenic disturbance impacts stand structure and susceptibility of an iconic tree species to an endemic canker pathogen [J]. For Ecol Manage, 2018, 425: 145 − 153.
[20] 魏安然, 张雨秋, 谭凌照, 等. 抚育采伐对针阔混交林林分结构及物种多样性的影响[J]. 北京林业大学学报, 2019, 41(5): 148 − 158.

WEI Anran, ZHANG Yuqiu, TAN Lingzhao, et al. Effects of tending felling on stand structure and species diversity of mixed coniferous and broadleaved forest [J]. J Beijing For Univ, 2019, 41(5): 148 − 158.
[21] 汤孟平, 陈永刚, 施拥军, 等. 基于Voronoi图的群落优势树种种内种间竞争[J]. 生态学报, 2007, 27(11): 4707 − 4716.

TANG Mengping, CHEN Yonggang, SHI Yongjun, et al. Intraspecific and interspecific competition analysis of community dominant plant populations based on Voronoi diagram [J]. Acta Ecol Sin, 2007, 27(11): 4707 − 4716.
[22] 惠刚盈, 胡艳波. 混交林树种空间隔离程度表达方式的研究[J]. 林业科学研究, 2001, 14(1): 23 − 27.

HUI Gangying, HU Yanbo. Measuring species spatial isolation in mixed forests [J]. For Res, 2001, 14(1): 23 − 27.
[23] 汤孟平, 唐守正, 雷相东, 等. 2种混交度的比较分析[J]. 林业资源管理, 2004(4): 25 − 27.

TANG Mengping, TANG Shouzheng, LEI Xiangdong, et al. Comparison analysis on two minglings [J]. For Resour Manage, 2004(4): 25 − 27.
[24] CLARK P J, EVANS F C. Distance to nearest neighbor as a measure of spatial relationships in population [J]. Ecology, 1954, 35(4): 445 − 453.
[25] 黄杏元, 马劲松. 地理信息系统概论[M]. 3版. 北京: 高等教育出版社, 2008: 146 − 152.
[26] 董灵波, 刘兆刚, 李凤日, 等. 凉水自然保护区阔叶红松林林分空间结构特征及其与影响因子关系[J]. 植物研究, 2014, 34(1): 114 − 120, 130.

DONG Lingbo, LIU Zhaogang, LI Fengri, et al. Relationships between stand spatial structure characteristics and influencing factors of broad-leaved Korean pine (Pinus koraiensis) forest in Liangshui Nature Reserve, northeast China [J]. Bull Bot Res, 2014, 34(1): 114 − 120, 130.
[27] 方国景, 汤孟平, 章雪莲. 天目山常绿阔叶林的混交度研究[J]. 浙江林学院学报, 2008, 25(2): 216 − 220.

FANG Guojing, TANG Mengping, ZHANG Xuelian. The mingling index with evergreen broadleaf forests on Mount Tianmu [J]. J Zhejiang For Coll, 2008, 25(2): 216 − 220.
[28] 孙洪刚, 姜景明, 万志兵. 海拔和坡向对北亚热带檫木天然次生林生长、空间结构和树种组成的影响[J]. 东北林业大学学报, 2017, 45(4): 8 − 13.

SUN Honggang, JIANG Jingmin, WAN Zhibing. Effects of altitude and aspect on stand growth, spatial structure and tree species composition with the Sassafras tsumu natural secondary forest in the northern subtropical zone, China [J]. J Northeast For Univ, 2017, 45(4): 8 − 13.
[29] 王志鸣, 郭秋菊, 艾训儒, 等. 恩施州不同海拔马尾松天然次生林林分结构特征研究[J]. 西南林业大学学报, 2019, 39(1): 114 − 122.

WANG Zhiming, GUO Qiuju, AI Xunru, et al. Structure characteristics of Pinus massoniana natural secondary forest at different altitude of Enshi [J]. J Sorthwest For Univ, 2019, 39(1): 114 − 122.
[30] WAN Pan, ZHANG Gongqiao, WANG Hongxiang, et al. Impacts of different forest management methods on the stand spatial structure of a natural Quercus aliena var. acuteserrata forest in Xiaolongshan, China [J]. Ecol Inf, 2019, 50: 86 − 94.
[31] 王蕾, 刘浪, 王玮玮, 等. 滇中地区华山松不同树种组成混交林林分空间结构研究[J]. 四川林业科技, 2015, 36(6): 57 − 61.

WANG Lei, LIU Lang, WANG Weiwei, et al. Research on the stand spatial structure of mixed Pinus armandi forest of different tree species composition in central Yunnan areas [J]. J Sichuan For Sci Technol, 2015, 36(6): 57 − 61.