[1] 张 超, 彭道黎, 黄国胜, 等. 基于森林清查数据的三峡库区林地立地质量评价[J]. 东北林业大学学报, 2015, 43(11):56-61. doi: 10.3969/j.issn.1000-5382.2015.11.012
[2] Zhu G, Hu S, Chhin S. et al. Modelling site index of Chinese fir plantations using a random effects model across regional site types in Hunan province, China[J]. Forest Ecology and Management, 2019, 446: 143-150. doi: 10.1016/j.foreco.2019.05.039
[3] Skovsgaard J P, Vanclay J K. Forest site productivity: a review of the evolution of dendrometric concepts for even-aged stands[J]. Forestry, 2008, 81(1): 13-31. doi: 10.1093/forestry/cpm041
[4] 孟宪宇. 测树学[M]. 第2版, 北京: 中国林业出版社, 2004: 99-100.
[5] McLeod S D, Running S W. Comparing site quality indices and productivity in ponderosa pine stands of western Montana[J]. Canadian Journal of Forest Research, 1988, 18(3): 346-352. doi: 10.1139/x88-052
[6] Monserud R A, Huang S. Mapping lodgepole pine site index in Alberta[C]// Amaro A, Reed D, Soares P. Modelling Forest Systems, CABI Publishing, Wallingford, UK. 2003: 11-22.
[7] Swenson J J, Waring R H, Fan W, et al. Predicting site index with a physiologically based growth model across Oregon, USA[J]. Canadian Journal of Forest Research, 2005, 35(7): 1697-1707. doi: 10.1139/x05-089
[8] 朱光玉, 康 立, 何海梅. 基于树高- 年龄分级的杉木人工林多形立地指数曲线模型研究[J]. 中南林业科技大学学报:自然科学版, 2017,37(7):18-29.
[9] Curt T, Bouchaud M, Agrech G. Predicting site index of Douglas-fir plantations from ecological variables in the Massif Central area of France[J]. Forest Ecology and Management, 2001, 149(1): 61-74.
[10] Cieszewski C J, Bella I E. Polymorphic height and site index curves for lodgepole pine in Alberta[J]. Canadian Journal of Forest Research, 1989, 19(9): 1151-1160. doi: 10.1139/x89-174
[11] Jerez-Rico M, Moret-Barillas A Y, Carrero-Gamez O E, et al. Site index curves based on mixed models for teak (Tectona grandis LF) plantations in the Venezuelan plains[J]. Agrociencia, 2011, 45(1): 135-145.
[12] 曹元帅, 孙玉军. 基于广义代数差分法的杉木人工林地位指数模型[J]. 南京林业大学学报:自然科学版, 2017,41(5):79-84.
[13] Fang Z, Bailey R L, Shiver B D. A multivariate simultaneous prediction system for stand growth and yield with fixed and random effects[J]. Forest Science, 2001, 47(4): 550-562.
[14] Calama R, Montero G. Interregional nonlinear height diameter model with random coefficients for stone pine in Spain[J]. Canadian Journal of Forest Research, 2004, 34(1): 150-163. doi: 10.1139/x03-199
[15] Calegario N, Daniels R F, Maestri R, et al. Modeling dominant height growth based on nonlinear mixed-effects model: A clonal Eucalyptus plantation case study[J]. Forest Ecology and Management, 2005, 204: 11-21. doi: 10.1016/j.foreco.2004.07.051
[16] 张雄清, 王翰琛, 鲁乐乐, 等. 杉木单木枯损率与初植密度、竞争和气候因子的关系[J]. 林业科学, 2019, 55(13):72-77. doi: 10.11707/j.1001-7488.20190308
[17] 郭艳荣, 吴保国, 刘 洋, 等. 立地质量评价研究进展[J]. 世界林业研究, 2012, 25(5):47-52. doi: 10.13348/j.cnki.sjlyyj.2012.05.013
[18] Farrelly N, Áine Ní Dhubháin, Nieuwenhuis M. Site index of Sitka spruce (Picea sitchensis) in relation to different measures of site quality in Ireland[J]. Canadian Journal of Forest Research, 2011, 41(2): 265-278. doi: 10.1139/X10-203
[19] Pinherio J C, Bates D M. Mixed-Effects Models in S and S-PLUS[M]. Spring-Verlag, New York, 2000.
[20] 符利勇, 唐守正, 张会儒, 等. 基于多水平非线性混合效应蒙古栎林单木断面积模型[J]. 林业科学研究, 2015, 28(1):23-31. doi: 10.13275/j.cnki.lykxyj.2015.01.004
[21] Sharma M, Parton J. Height–diameter equations for boreal tree species in Ontario using a mixed-effects modeling approach[J]. Forest Ecology and Management, 2007, 249(3): 187-198. doi: 10.1016/j.foreco.2007.05.006
[22] Pandhard X, Samson A. Extension of the SAEM algorithm for non-linear mixed models with 2 levels of random effects[J]. Biostatis-tics, 2009, 10(1): 121-135.
[23] 吴 恒, 党坤良, 田相林, 等. 秦岭林区天然次生林与人工林立地质量评价[J]. 林业科学, 2015, 51(4):78-88.
[24] Weiskittel A R, Hann D W, Kershaw Jr J A, et al. Forest Growth and Yield Modeling[M]. John Wiley & Sons, 2011.
[25] 相聪伟, 张建国, 段爱国. 山地杉木人工林优势木选择方法的研究[J]. 西北农林科技大学学报:自然科学版, 2012, 40(9):51-58.
[26] 赵美丽, 王才旺. 林分优势高测定方法的探讨[J]. 内蒙古林业调查设计, 1994(2):10-16.
[27] 王冬至, 张冬燕, 蒋凤玲, 等. 塞罕坝华北落叶松人工林地位指数模型[J]. 应用生态学报, 2015, 26(11):3413-3420. doi: 10.13287/j.1001-9332.20150915.003
[28] 陶吉兴, 唐明荣. 常规立地指数表的误差来源与分析[J]. 浙江林学院学报, 1990(4):99-103.
[29] Cieszewski C J. Comparing fixed-and variable-base-age site equations having single versus multiple asymptotes[J]. Forest Science, 2002, 48(1): 7-23.
[30] Wang M, Borders B E, Zhao D. An empirical comparison of two subject-specific approaches to dominant heights modeling: The dummy variable method and the mixed model method[J]. Forest Ecology and Management, 2008, 255(7): 2659-2669. doi: 10.1016/j.foreco.2008.01.030