[1] |
惠刚盈, K. v. Gadow, 胡艳波, 等. 林木分布格局类型的角尺度均值分析方法[J]. 生态学报, 2004, 24(6):135-139. |
[2] |
Latham P A, Zuuring H R, Coble D W. A method for quantifying vertical forest structure[J]. Forest Ecology & Management, 1998, 104(1-3): 157-170. |
[3] |
Wang H X, Zhang G Q, Hui G Y, et al. The influence of sampling unit size and spatial arrangement patterns on neighborhood-based spatial structure analyses of forest stands[J]. Forest Systems, 2016, 25(1): e056. |
[4] |
Franklin J F, Spies T A, Pelt V R, et al. Disturbances and structural development of natural forest ecosystems with silvicultural implications, using Douglas-fir forests as an example[J]. Forest Ecology and Management, 2002, 155(3): 399-423. |
[5] |
Oliver C D, Larson B C. Forest Stand Dynamics[M]. Wiley and Sons, Inc, New York, 1996, 520 pp. |
[6] |
Lei X D, Wang W F, Peng C H. Relationships between stand growth and structural diversity in spruce-dominated forests in New Brunswick, Canada[J]. Canadian Journal of Forest Research, 2009, 39(10): 1835-1847. doi: 10.1139/X09-089 |
[7] |
Valbuena R, Packalén P, Martı S, et al. Diversity and equitability ordering profiles applied to study forest structure[J]. Forest Ecology and Management, 2012, 276: 185-195. doi: 10.1016/j.foreco.2012.03.036 |
[8] |
Kuuluvainen T, Penttinen A, Leinonen K. et al. Statistical opportunities for comparing stand structural heterogeneity in managed and primeval forests: An example from boreal spruce forests in Southern Finland[J]. Silva Fennica, 1996, 30: 315-328. |
[9] |
Spies T A. Forest structure: a key to the ecosystem[J]. Northwest Ence, 1998, 72: 34-39. |
[10] |
Ripley B D. Modelling spatial pattern[J]. Journal of the Royal Statistical Society. Series B, 1977, 39: 172-212. |
[11] |
Besag J E. Contribution to the discussion on Dr. Ripley′s paper[J]. Journal of the Royal Statistical Society. Series B, 1977, 39: 193-195. |
[12] |
Diggle P. Statistical Analysis of Spatial Point Patterns[M]. Academic Press, London, 1983, 148pp. |
[13] |
Penttinen A, Stoyan D, Henttonen H. Marked point process in forest statistics[J]. Forest Science, 1992, 38(4): 806-824. |
[14] |
Condit R, Ashton P S, Baker P, et al. Spatial patterns in the distribution of tropical tree species[J]. Science (New York, N. Y.), 2000, 288(5470): 1414-1418. doi: 10.1126/science.288.5470.1414 |
[15] |
Stoyan D. On correlations of marked point processes[J]. Mathematische Nachrichten, 2010, 116(1): 197-207. |
[16] |
Stoyan D, Penttinen A. Recent applications of point process methods in forestry statistics[J]. Statistical Science, 2000, 15(1): 61-78. doi: 10.1214/ss/1009212674 |
[17] |
Illian J. Statistical analysis and modelling of spatial point patterns[J]. Technometrics, 2008, 47(4): 516-517. |
[18] |
Thorsten W, Kirk A M. Handbook of Spatial Point-pattern Analysis in Ecology[M]. Chemical Rubber Company Press, 2013, 538 pp. |
[19] |
陈科屹, 张会儒, 雷相东. 天然次生林蒙古栎种群空间格局[J]. 生态学报, 2018, 38(10):3462-3470. |
[20] |
郝珉辉, 张忠辉, 赵珊珊, 等. 吉林蛟河针阔混交林树木生长的空间关联格局[J]. 生态学报, 2017, 37(6):1922-1930. |
[21] |
Pommerening A, Gonalves A C, Rodríguez-Soalleiro. Species mingling and diameter differentiation as second-order characteristics[J]. Allgemne Forst und Jagdztung, 2011, 182(7): 115-129. |
[22] |
Diggle P J. Statistical Analysis of Spatial Point Patterns[M]. Second ed. Arnold, London, 2003, 159pp. |
[23] |
Hui G Y, Pommerening A. Analysing tree species and size diversity patterns in multi-species uneven-aged forests of Northern China[J]. Forest Ecology and Management, 2014, 316: 125-138. doi: 10.1016/j.foreco.2013.07.029 |
[24] |
Hongxiang W, Pan W, Qianxue W, et al. Prevalence of inter-tree competition and its role in shaping the community structure of a natural Mongolian Scots pine (Pinus sylvestris var. mongolica)forest[J]. Forests, 2017, 8(3): 84. doi: 10.3390/f8030084 |
[25] |
Hongxiang W, Hui P, Gangying H Y, et al. Large trees are surrounded by more heterospecific neighboring trees in Korean pine broad-leaved natural forests[J]. Scientific Reports, 2018, 8(1): 9149. doi: 10.1038/s41598-018-27140-7 |
[26] |
Gadow K V. Zur Bestandesbeschreibung in der Forsteinrichtung [J]. Forst u. Holz, 1993, 48, 602–606. |
[27] |
Grabarnik P, Myllym Ki M, Stoyan D. Correct testing of mark independence for marked point patterns[J]. Ecological Modelling, 2011, 222(23-24): 3888-3894. doi: 10.1016/j.ecolmodel.2011.10.005 |
[28] |
Pommerening A, Stoyan, D. Reconstructing spatial tree point patterns from nearest neighbour summary statistics measured in small subwindows[J]. Canadian Journal of Forest Research, 2008, 38(5): 1110-1122. doi: 10.1139/X07-222 |
[29] |
李景文. 红松混交林生态与经营[M]. 哈尔滨: 东北林业大学出版社, 1997. |
[30] |
张玉双, 段文标, 杜 珊, 等. 阔叶红松林主要种群及林隙形成木的空间格局分析[J]. 林业科学研究, 2016,29(3):395-401. doi: 10.3969/j.issn.1001-1498.2016.03.013 |
[31] |
赵中华, 惠刚盈, 胡艳波, 等. 2种类型阔叶红松林优势种群空间分布格局及其关联性[J]. 林业科学研究, 2011, 24(5):554-562. |
[32] |
张春雨, 赵秀海, 郑景明. 长白山阔叶红松林林隙与林下土壤性质对比研究[J]. 林业科学研究, 2006, 19(3):347-352. doi: 10.3321/j.issn:1001-1498.2006.03.016 |
[33] |
邓守彦, 刘万德, 郭忠玲, 等. 不同恢复时期红松阔叶林群落结构与多样性特征[J]. 林业科学研究, 2009, 22(4):493-499. doi: 10.3321/j.issn:1001-1498.2009.04.006 |