Tree crown length prediction models for Larix olgensis and Fraxinus mandshurica in mixed plantations with different mixing methods

HE Mengying, DONG Lihu, LI Fengri

JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 2021, Vol. 45 ›› Issue (4) : 13-22.

PDF(2841 KB)
PDF(2841 KB)
JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 2021, Vol. 45 ›› Issue (4) : 13-22. DOI: 10.12302/j.issn.1000-2006.202005043

Tree crown length prediction models for Larix olgensis and Fraxinus mandshurica in mixed plantations with different mixing methods

Author information +
History +

Abstract

【Objective】 To accurately predict the crown length of Larix olgensis and Fraxinus mandshurica trees mixed by rows with four different mixing methods (1∶1, 2∶2, 3∶3, 5∶5), crown length models for L. olgensis and F. mandshurica were developed using simultaneous equation models. 【Method】 The data for sample trees of L. olgensis and F. mandshurica in mixed stands were collected from 54 permanent sample plots in the Shangzhi Administrative Bureau of National Forestry Centers in Heilongjiang Province. The best crown length model was selected from three nonlinear basic models, and the Mitscherlich model was selected as the basic model of the height-diameter model. The mixed proportion (Zi) and the tree position (K) in mixed rows were taken as dummy variables. Other tree variables, as well as stand variables and competition factors were also added. Based on the optimal crown length and height-diameter model, the simultaneous equations model of the crown length and height were developed, respectively. The nonlinear seemingly uncorrelated regression (NSUR) method was used to estimate the parameters, and the fitting effects of the models was evaluated. 【Result】The ratio of the total tree height to DBH was negatively correlated with the crown length of L. olgensis, and the ratio of tree height to dominant tree height was positively correlated with the crown length of L. olgensis. The height-diameter ratio was negatively correlated with the crown length of F. mandshurica and the ratio of tree diameter at breast height to dominant tree diameter was positively correlated with the crown length of F. mandshurica. The average stand height of L. olgensis was positively correlated with the height of L. olgensis, while the dominant tree height of F. mandshurica was positively correlated with the height of F. mandshurica. For the simultaneous equations, the adjusted coefficients of determination ( R a 2 ) of the crown length and height of L. olgensis were 0.478 1 and 0.821 6, respectively. For the simultaneous equations, the R a 2 of the crown length and height of F. mandshurica were 0.395 8 and 0.752 9, respectively. 【Conclusion】 Constructing a simultaneous equation system for the crown length and tree height not only has good fitting effects and prediction accuracy, but also solves the problem of the inherent correlation between the crown length and height. Therefore, the crown length models established in this study can accurately predict the crown length of L. olgensis and F. mandshurica in the rows of mixed plantations, thereby providing a basis for a further study on the crown structure in mixed plantations.

Key words

mixed plantation / Larix olgensis / Fraxinus mandshurica / simultaneous equation / crown length model

Cite this article

Download Citations
HE Mengying , DONG Lihu , LI Fengri. Tree crown length prediction models for Larix olgensis and Fraxinus mandshurica in mixed plantations with different mixing methods[J]. JOURNAL OF NANJING FORESTRY UNIVERSITY. 2021, 45(4): 13-22 https://doi.org/10.12302/j.issn.1000-2006.202005043

References

[1]
VALENTINE H T, LUDLOW A R, FURNIVAL G M. Modeling crown rise in even-aged stands of Sitka spruce or Loblolly pine[J]. For Ecol Manag, 1994, 69(1/2/3):189-197.DOI: 10.1016/0378-1127(94)90228-3.
[2]
MONSERUD R A, STERBA H. A basal area increment model for individual trees growing in even- and uneven-aged forest stands in Austria[J]. For Ecol Manag, 1996, 80(1/2/3):57-80.DOI: 10.1016/0378-1127(95)03638-5.
[3]
卢军, 李凤日, 张会儒, 等. 帽儿山天然次生林主要树种冠长率模型[J]. 林业科学, 2011, 47(6):70-76.
LU J, LI F R, ZHANG H R, et al. A crown ratio model for dominant species in secondary forests in Mao’er Mountain[J]. Sci Silvae Sin, 2011, 47(6):70-76.
[4]
SOARES P, TOMÉ M. A tree crown ratio prediction equation for Eucalypt plantations[J]. Ann For Sci, 2001, 58(2):193-202.DOI: 10.1051/forest:2001118.
[5]
POPOOLA F S, ADESOYE P O. Crown ratio models for Tectona grandis (Linn.f) stands in Osho forest reserve,Oyo State,Nigeria[J]. J For Environ Sci, 2012, 28(2):63-67.DOI: 10.7747/jfs.2012.28.2.063.
[6]
SATTLER D F, LEMAY V. A system of nonlinear simultaneous equations for crown length and crown radius for the forest dynamics model SORTIE-ND[J]. Can J For Res, 2011, 41(8):1567-1576.DOI: 10.1139/x11-078.
[7]
胥辉, 全宏波, 王斌. 思茅松标准树高曲线的研究[J]. 西南林学院学报, 2000, 20(2):74-77.
XU H, QUAN H B, WANG B. A study on the model of theoretical height-diameter curve of Pinus kesiya var. langbianensis[J]. J Southwest For Coll, 2000, 20(2):74-77.DOI: 10.3969/j.issn.2095-1914.2000.02.003.
[8]
ADAME P, DEL RÍO M, CAÑELLAS I. A mixed nonlinear height-diameter model for Pyrenean oak (Quercus pyrenaica Willd.)[J]. For Ecol Manag, 2008, 256(1/2):88-98.DOI: 10.1016/j.foreco.2008.04.006.
[9]
张鹏, 王新杰, 许昊. 将乐地区马尾松标准树高曲线的研究[J]. 中南林业科技大学学报, 2015, 35(3):69-73.
ZHANG P, WANG X J, XU H. Generalized height-diameter model of Pinus massoniana for Jiangle State-owned Forest Farm,Fujian Province[J]. J Central South Univ For Technol, 2015, 35(3):69-73.DOI: 10.14067/j.cnki.1673-923x.2015.03.014.
[10]
唐守正, 李勇, 符利勇. 生物数学模型的统计学基础[M].2版. 北京: 高等教育出版社, 2015.
TANG S Z, LI Y, FU L Y. Statistical foundation for biomathematical models[M].2nd ed. Beijing: Higher Education Press, 2015.
[11]
TANG S Z, LI Y, WANG Y H. Simultaneous equations,error-in-variable models,and model integration in systems ecology[J]. Ecol Model, 2001, 142(3):285-294.DOI: 10.1016/S0304-3800(01)00326-X.
[12]
李想, 董利虎, 李凤日. 基于联立方程组的人工樟子松枝下高模型构建[J]. 北京林业大学学报, 2018, 40(6):9-18.
LI X, DONG L H, LI F R. Building height to crown base models for Mongolian pine plantation based on simultaneous equations in Heilongjiang Province of northeastern China[J]. J Beijing For Univ, 2018, 40(6):9-18.DOI: 10.13332/j.1000-1522.20170428.
[13]
李想. 黑龙江省人工樟子松枝下高动态预测模型的研究[D]. 哈尔滨:东北林业大学, 2018.
LI X. The study of dynamic predicting model of height to crown base for Mongolian pine plantation in Heilongjiang Province[D]. Harbin:Northeast Forestry University, 2018.
[14]
DONG L H, ZHANG L J, LI F R. A three-step proportional weighting system of nonlinear biomass equations[J]. For Sci, 2015, 61(1):35-45.DOI: 10.5849/forsci.13-193.
[15]
安慧, 上官周平. 密度对刺槐幼苗生物量及异速生长模式的影响[J]. 林业科学, 2008, 44(3):151-155.
AN H, SHANGGUAN Z P. Effects of density on biomass and allometric pattern of Robinia pseudoacacia seedling[J]. Sci Silvae Sin, 2008, 44(3):151-155.DOI: 10.3321/j.issn:1001-7488.2008.03.028.
[16]
张彦东, 王庆成, 谷艳华. 水曲柳落叶松人工幼龄混交林生长与种间竞争关系[J]. 东北林业大学学报, 1999, 27(2):6-9.
ZHANG Y D, WANG Q C, GU Y H. The relationship between growth and interspecific competition within the ash-larch mixed stand[J]. J Northeast For Univ, 1999, 27(2):6-9.DOI: 10.3969/j.issn.1000-5382.1999.02.002.
[17]
陈丽聪, 邓华锋, 黄国胜, 等. 不同起源马尾松与杉木林分树高曲线的拟合及对比[J]. 西北农林科技大学学报(自然科学版), 2014, 42(1):57-64.
CHEN L C, DENG H F, HUANG G S, et al. Fitting and comparison of tree height curves of Pinus massoniana Lamb and Cunninghamia lanceolata with different origins[J]. J Northwest A F Univ (Nat Sci Ed), 2014, 42(1):57-64.DOI: 10.13207/j.cnki.jnwafu.2014.01.006.
[18]
赵俊卉, 亢新刚, 刘燕. 长白山主要针叶树种最优树高曲线研究[J]. 北京林业大学学报, 2009, 31(4):13-18.
ZHAO J H, KANG X G, LIU Y. Optimal height-diameter models for dominant coniferous species in Changbai Mountain,northeastern China[J]. J Beijing For Univ, 2009, 31(4):13-18.DOI: 10.3321/j.issn:1000-1522.2009.04.003.
[19]
卢军, 张会儒, 雷相东, 等. 长白山云冷杉针阔混交林幼树树高:胸径模型[J]. 北京林业大学学报, 2015, 37(11):10-25.
LU J, ZHANG H R, LEI X D, et al. Height-diameter models for saplings in a spruce-fir mixed forest in Changbai Mountains[J]. J Beijing For Univ, 2015, 37(11):10-25.DOI: 10.13332/j.1000-1522.20140429.
[20]
BRONISZ K, MEHTÄTALO L. Mixed-effects generalized height-diameter model for young silver birch stands on post-agricultural lands[J]. For Ecol Manag, 2020, 460:117901.DOI: 10.1016/j.foreco.2020.117901.
[21]
朱万才, 吴瑶, 李亚洲, 等. 不同保留密度对落叶松水曲柳混交林的影响[J]. 森林工程, 2021, 37(2):50-56.
ZHU W C, WU Y, LI Y Z, et al. Effect of different reserve density on Larix gmelinii-Fraxinus mandshurica mixed forest[J]. Forest Enginee-ring, 2021, 37(2):50-56.
[22]
VOSPERNIK S, MONSERUD R A, STERBA H. Do individual-tree growth models correctly represent height:diameter ratios of Norway spruce and Scots pine?[J]. For Ecol Manage, 2010, 260(10):1735-1753.DOI: 10.1016/j.foreco.2010.07.055.
[23]
SHARMA R P, VACEK Z, VACEK S. Individual tree crown width models for Norway spruce and European beech in Czech Republic[J]. For Ecol Manag, 2016, 366:208-220.DOI: 10.1016/j.foreco.2016.01.040.
[24]
BIGING G S, DOBBERTIN M. Evaluation of competition indices in individual tree growth models[J]. For Sci, 1995, 41(2):360-377.DOI: 10.1093/forestscience/41.2.360.
[25]
赵俊卉. 长白山云冷杉混交林生长模型的研究[D]. 北京:北京林业大学, 2010.
ZHAO J H. Growth modeling for spruce-fir fo-rest in Changbai Mountains[D]. Beijing:Beijing Forestry University, 2010.

RIGHTS & PERMISSIONS

Copyright reserved © 2021
PDF(2841 KB)

Accesses

Citation

Detail

Sections
Recommended
The full text is translated into English by AI, aiming to facilitate reading and comprehension. The core content is subject to the explanation in Chinese.

/