Comparison of Annual Individual-Tree Growth Models Based\n on Variable Rate and Constant Rate Methods

The inventory data of the Chinese pine (Pinus tabulaeformis) in Beijing Mountains were used to establish and compare individual tree diameter growth and survival models with constant rate method and variable rate method. Results showed that in the individual-tree diameter growth model, MD was -0.005 9, MAD 0.779 1, RMSE 1.198 3 and R2 0.949 3 based on the variable rate method. But with the constant rate method, they were 0.097 5, 0.917 8, 1.198 3 and 0.917 8 respectively. In the survival model, MD was 8.59E-7, MAD 0.088 4, RMSE 0.211 7, and LogL-4 137.240 0 using the variable rate method. But with the constant rate method, they were 0.002 7, 0.091 1, 0.212 1, and -4 230.320 0 respectively. The variable rate method out-performed the constant rate method in predicting future individual tree survival and diameter growth because the former accounted for the variable rate of annual diameter growth and tree survival probability, which were caused by changes of stand (basal area, dominant height) and tree attributes.

Abstract: The inventory data of the Chinese pine (Pinus tabulaeformis) in Beijing Mountains were used to establish and compare individual tree diameter growth and survival models with constant rate method and variable rate method. Results showed that in the individual-tree diameter growth model, MD was -0.005 9, MAD 0.779 1, RMSE 1.198 3 and R2 0.949 3 based on the variable rate method. But with the constant rate method, they were 0.097 5, 0.917 8, 1.198 3 and 0.917 8 respectively. In the survival model, MD was 8.59E-7, MAD 0.088 4, RMSE 0.211 7, and LogL-4 137.240 0 using the variable rate method. But with the constant rate method, they were 0.002 7, 0.091 1, 0.212 1, and -4 230.320 0 respectively. The variable rate method out-performed the constant rate method in predicting future individual tree survival and diameter growth because the former accounted for the variable rate of annual diameter growth and tree survival probability, which were caused by changes of stand (basal area, dominant height) and tree attributes.

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[1]	Zhang S, Amateis R L, Burkhart H E. Constraining individual tree diameter increment and survival models for loblolly pine plantations [J]. Forest Science, 1997, 43:414-423
[2]	Zhao D H, Borders B, Wang M L. Survival model for fusiform rust infected loblolly pine plantations with and without mid-rotation under store vegetation control [J]. Forest Ecology and Management, 2006, 235: 232-239
[3]	杜纪山. 落叶松林木枯损模型 [J]. 林业科学, 1999, 35(2): 45-49
[4]	刘平, 马履一, 贾黎明,等. 油松林木枯损率模型研究[J]. 林业资源管理, 2008(2) : 51-56
[5]	向玮, 雷向东, 刘刚,等. 近天然林落叶松云冷杉林单木枯损模型研究[J]. 北京林业大学学报, 2008, 30(6): 90-98
[6]	Lessard V C, Mcroberts R E, Holdaway M R. Diameter growth models using Minnesota forest inventory and analysis data [J]. Forest Science, 2001, 47: 301-310
[7]	Mabvurora D, Miina J. Individual-tree growth and mortality models for Eucalyptus grandis Maiden plantations in Zimbabwe[J]. Forest Ecology and Manage, 2002, 161:231-245
[8]	Uzoh F C C, Oliver W W. Individual tree diameter increment model for managed even-aged stands of ponderosa pine throughout the western United States using a multilevel linear mixed effects model [J]. Forest Ecology and Management, 2008,256:438-445
[9]	Zhao D H, Borders B, Wilson M. Individual-tree diameter growth and mortality models for bottomland mixed-species hardwood stands in the lower Mississippi alluvial valley [J]. Forest Ecology and Management, 2004,199:307-322
[10]	杜纪山. 用二类调查样地建立落叶松单木直径生长模型[J]. 林业科学研究, 1999, 12(2): 160-164
[11]	王文斗, 李凤日, 那冬晨,等. 辽东栎单木生长模型的研究[J]. 林业科技, 2005, 30(2): 11-13
[12]	孟宪宇, 张弘.闽北杉木人工林单木模型[J]. 北京林业大学学报, 1996, 18(2): 1-7
[13]	张惠光. 福建柏单木生长模型的研究[J]. 中南林业调查规划, 2006, 25(3): 1-4
[14]	刘兆刚, 李凤日, 于金成. 落叶松人工林单木模型的研究[J]. 植物研究, 2003, 23(2): 237-244
[15]	孟宪宇. 测树学[M]. 第二版.北京:中国林业出版社,1996:191-193
[16]	Mcdill M E, Amateis R L. Fitting discrete-time dynamic models having any time interval [J]. Forest Science, 1993,39:499-519
[17]	Cao Q V, Li S S, Mcdill M E. Developing a system of annual tree growth equations for the loblolly pine-shortleaf pine type in Louisiana [J]. Canada Journal Forest Research, 2002,32:2051-2059
[18]	Cao Q V. Prediction of annual diameter growth and survival for individual trees from periodic measurements [J]. Forest Science, 2000, 46(1): 127-131
[19]	Larsen T N. Modeling individual-tree growth from data with highly irregular measurement intervals [J]. Forest Science, 2006,52:198-208
[20]	Cao Q V. Annual tree growth predictions based on periodic measurements . IUFRO Symposium on Statistics and Information Technology in Forestry. Blacksburg, VA. 2002:7-13
[21]	Cao Q V, Strub M. Evaluation of four methods to estimate parameters of an annual tree survival and diameter growth model [J]. Forest Science, 2008, 54(6): 617-624
[22]	杜纪山, 唐守正. 林分断面积生长模型研究综述[J]. 林业科学研究, 1997, 10(6):599-606
[23]	高惠璇. SAS系统,SAS/ATAT软件使用手册[M]. 北京:中国统计出版社, 1997
[24]	唐守正, 李勇. 生物数学模型的统计学基础[M].北京:科学出版社, 2002:245-261

Comparison of Annual Individual-Tree Growth Models Based\n on Variable Rate and Constant Rate Methods

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