Allometric relationships among tree-size variables under tropical forest stages in Gia Lai, Vietnam
KeywordsMixed-effect model, nonlinear model, old-growth, secondary forest
Allometric models play an undeniable role for estimating hard-to-measure quantities such as volume, biomass and carbon stock in forests. However, so far there has been limited model development for native forests in Vietnam. Therefore, this study was conducted to build and analyze the effectiveness of nonlinear and mixed models for secondary and old-growth forests in Gia Lai, Vietnam. The study measured diameter at breast height, total height, commercial height and crown width of forest trees in 20 plots (10 plots for each forest stage). The results showed that diameter had the strongest relationship with height. In the secondary forest, the Power, Korf and Ratskowky models were the best for pairs of variables, while Prodan, Weibull and Power models were the best fit in the old-growth forest. The nonlinear mixed-effect models were better than classic nonlinear models in both forest stages. Fixed and mixed models developed in this study are very valuable for estimating difficult-to-measure quantities and contribute to effective forest management in the study region.
Abedi R. & Abedi T., 2020, Some non-linear height-diameter models performance for mixed stand in forests in Northwest Iran. Journal of Mountain Science 17(5): 1084–1095. https://doi.org/10.1007/s11629-019-5870-4
Anacioco K.P., Gorio J.A.L., Padsico M.R.S., Lumbres R.I.C., Doyog N.D. & Lee Y.J., 2018, Fitting and evaluation of height-diameter models for Alnus japonica in La Trinidad, Benguet, Philippines. Journal of Mountain Science 15(11): 2422–2432. https://doi.org/10.1007/s11629-018-4866-9
Anderson M.J., 2011, A new method for non-parametric multivariate analysis of variance. Austral Ecology (26): 32–46. https://doi.org/10.1111/j.1442-9993.2001.01070.pp.x
Avsar D. & Ayyıldız V.A., 2005, The relationships between diameter at breast height, tree height and crown diameter in Lebanon cedars (Cedrus libani A. Rich.) of the Yavsan Mountain, Kahramanmaras, Turkey. Pakistan Journal of Biological Sciences 8: 1228–1232. https://doi.org/10.3923/pjbs.2005.1228.1232
Avsar M.D., 2004, The relationships between diameter at breast height, tree heightand crown diameter in Calabrian pines (Pinus brutia Ten.) of baskonus mountain, Kahramanmaras, Turkey. Journal of Biological Sciences (Pakistan) 4(4): 437–440. https://doi.org/10.3923/jbs.2004.437.440
Binh N.T., 2014, Research on forest structure characteristics and biodiversity of closed evergreen mixed broad and needle leaf forest type in Bidoup - Nui Ba National Park. Vietnam Journal of Forest Science 2(2014): 3255–3263.
Brack C., 1999, Forest Measurement and Modelling. Available from: http://fennerschool-associated.anu.edu.au/mensuration/author.htm#copyright.
Chai Z., Tan W., Li Y., Yan L., Yuan H. & Li Z., 2018, Generalized nonlinear height–diameter models for a Cryptomeria fortunei plantation in the Pingba region of Guizhou Province, China. Web Ecology 18(1): 29–35. https://doi.org/10.5194/we-18-29-2018
Chenge I.B., 2021, Height–diameter relationship of trees in Omo strict nature forest reserve, Nigeria. Trees, Forests and People, 3, 100051. https://doi.org/10.1016/j.tfp.2020.100051
Ercanli I., 2015, Nonlinear mixed effect models for predicting relationships between total height and diameter of Oriental beech trees in Kestel, Turkey. Revista Chapingo Serie Ciencias Forestales y del Ambiente 21(2): 185–202. https://doi.org/10.5154/r.rchscfa.2015.02.006
Fang Z. & Bailey R., 1998, Height–diameter models for tropical forests on Hainan Island in southern China. Forest Ecology and Management 110(1-3): 315–327. https://doi.org/10.1016/S0378-1127(98)00297-7
Faraway J.J., 2016, Extending the linear model with R: generalized linear, mixed effects and nonparametric regression models. CRC Press, Taylor & Francis Group, New York.
Gałecki A. & Burzykowski T., 2013, Linear Mixed-Effects Models Using R: A Step-by-Step Approach. Springer New York, USA.
Govedar Z., Krstić M., Keren S., Babić V., Zlokapa B. & Kanjevac B., 2018, Actual and balanced stand structure: Examples from beech-fir-spruce old-growth forests in the area of the Dinarides in Bosnia and Herzegovina. Sustainability 10(2), 540. https://doi.org/10.3390/su10020540
Ha D.T. & Hang B.T., 2010, Research on structure of evergreen broadleaved natural forest (IIIa) promoted solution to sustainalbe forest business in Kon Ray, Kon Tum. Vietnam Journal of Forest Science 1(2010): 2215–2226.
Hien C.T.T., Hung B.M., Cuong N.D. & Bich N.V., 2019, Several forest structure characteristics and diversity profile of overstory trees of evergreen broadleaf forest in Ba Be national park. Journal of Forestry Science and Technology 3/2019: 35–45 (in Vietnamese, summary in English).
Hoan N.V., 2013, Report on sustainable forest planning. Kon Ka Kinh National Park, Mang Yang, Gia Lai Province, Vietnam (in Vietnamese).
Hoan P.X. & Ngu H.K., 2003, Silviculture. The Agriculture Publisher, Hanoi, Vietnam (in Vietnamese).
Hung B.M., 2016, Structure and restoration of natural secondary forests in the Central Highlands, Vietnam. Doctoral dissertation. Institute of Silviculture and Forest Protection, Faculty of Environmental Sciences, Dresden University of Technology, Dresden, Germany.
Hung B.M., 2022, Forestry data analysis, using Stata. Scientific and Technical Publishing House, Hanoi, Vietnam.
Huy D.V. & Hung B.M., 2018, Dynamics of cunminghamia lanceolata plantation structure and quality on ages in Si Ma Cai district, Lao Cai Province. Journal of Forestry Science and Technology 4/2018: 22–31 (in Vietnamese, summary in English).
Imani G., Boyemba F., Lewis S., Nabahungu N.L., Calders K., Zapfack L., Riera B., Balegamire C. & Cuni-Sanchez A., 2017, Height-diameter allometry and above ground biomass in tropical montane forests: Insights from the Albertine Rift in Africa. PloS one 12(6): 1–20. https://doi.org/10.1371/journal.pone.0179653
Kazmierczak K., Pazdrowski W., Jedraszak A., Szymanski M. & Nawrot M., 2011, Crown width of a tree and its relationships with age, height and diameter at breast height based on common oak (Quercus robur L.). Colloquium Biometricum 41: 221–228.
Li Y.-q., Deng X.-w., Huang Z.-h., Xiang W.-h., Yan W.-d., Lei P.-f., Zhou X.-l. & Peng C.-h., 2015, Development and evaluation of models for the relationship between tree height and diameter at breast height for Chinese-fir plantations in subtropical China. PloS one 10(4), e0125118. https://doi.org/10.1371/journal.pone.0125118
Liu M., Feng Z., Zhang Z., Ma C., Wang M., Lian B.-l., Sun R. & Zhang L., 2017, Development and evaluation of height diameter at breast models for native Chinese Metasequoia. PloS one 12(8), e0182170. https://doi.org/10.1371/journal.pone.0182170
Maua J.O., MugatsiaTsingalia H., Cheboiwo J. & Odee D., 2020, Population structure and regeneration status of woody species in a remnant tropical forest: A case study of South Nandi forest, Kenya. Global Ecology and Conservation 21, e00820. https://doi.org/10.1016/j.gecco.2019.e00820
Mensah S., Pienaar O.L., Kunneke A., du Toit B., Seydack A., Uhl E., Pretzsch H. & Seifert T., 2018, Height–Diameter allometry in South Africa’s indigenous high forests: Assessing generic models performance and function forms. Forest Ecology and Management 410: 1–11. https://doi.org/10.1016/j.foreco.2017.12.030
Mensah S., Veldtman R. & Seifert T., 2017, Allometric models for height and aboveground biomass of dominant tree species in South African Mistbelt forests. Southern Forests: a Journal of Forest Science, 79(1): 19–30. https://doi.org/10.2989/20702620.2016.1225187
Miah M.D., Islam K.N., Kabir M.H. & Koike M., 2020, Allometric models for estimating aboveground biomass of selected homestead tree species in the plain land Narsingdi district of Bangladesh. Trees, Forests and People 2, 100035. https://doi.org/10.1016/j.tfp.2020.100035
Monteiro, M. V., Doick, K. J., & Handley, P. (2016): Allometric relationships for urban trees in Great Britain. Urban Forestry & Urban Greening 19: 223–236. https://doi.org/10.1016/j.ufug.2016.07.009
Ogana F.N., Corral-Rivas S. & Gorgoso-Varela J.J., 2020, Nonlinear mixed-effect height-diameter model for Pinus pinaster Ait. and Pinus radiata D. Don. Cerne 26: 150–161. https://doi.org/10.1590/01047760202026012695
Özçelik R., Cao Q.V., Trincado G. & Göçer N., 2018, Predicting tree height from tree diameter and dominant height using mixed-effects and quantile regression models for two species in Turkey. Forest Ecology and Management 419: 240–248. https://doi.org/10.1016/j.foreco.2018.03.051
Petrás R., Bosela M., Mecko J., Oszlányi J. & Popa I., 2014, Height-diameter models for mixed-species forests consisting of spruce, fir, and beech. Folia Forestalia Polonica, Series A, Forestry: 56(2). https://doi.org/10.2478/ffp-2014-0009
Philip M.S., 1998, Measuring Trees and Forests. CABI Publishing, CAB International, Wallingford, Oxon, OX10, 8DE, UK.
Pinheiro J. & Bates D., 2006, Mixed-effects models in S and S-PLUS. Springer Science & Business Media.
Pinheiro J., Bates D., DebRoy S., Sarkar D. & R Core Team, 2016, nlme: Linear and Nonlinear Mixed Effects Models. R package version 3.1–126. http://CRAN.R-project.org/package=nlme
Sau L., 1996, Research on forest structure characteristics and propose some economic technical criteria for selective harvest and sustainable forest use in Kon Ha Nung - Central Highlands. Vietnam National University of Forestry, Xuan Mai, Hanoi, Vietnam.
Scaranello M.A. d. S., Alves L.F., Vieira S.A., Camargo P.B. d., Joly C.A. & Martinelli L.A., 2012, Height-diameter relationships of tropical Atlantic moist forest trees in southeastern Brazil. Scientia Agricola 69(1): 26–37. https://doi.org/10.1590/S0103-90162012000100005
Sharma R., Vacek Z. & Vacek S., 2016, Nonlinear mixed effect height-diameter model for mixed species forests in the central part of the Czech Republic. Journal of Forest Science 62(10): 470–484. https://doi.org/10.17221/41/2016-JFS
Sullivan M.J., Lewis S.L., Hubau, W., Qie L., Baker T.R., Banin L.F., Chave J., Cuni‐Sanchez A., Feldpausch T.R. & Lopez‐Gonzalez G., 2018, Field methods for sampling tree height for tropical forest biomass estimation. Methods in Ecology and Evolution 9(5): 1179–1189. https://doi.org/10.1111/2041-210X.12962
Team R.C., 2021, R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/
Thanh T.N., Tien T.D. & Shen H.L., 2019, Height-diameter relationship for Pinus koraiensis in Mengjiagang Forest Farm of Northeast China using nonlinear regressions and artificial neural network models. Journal of Forest Science 65(4): 134–143. https://doi.org/10.17221/5/2019-JFS
Thormann B., Raupach M.J., Wagner T., Wägele J.W. & Peters M.K., 2011, Testing a short nuclear marker for inferring staphylinid beetle diversity in an African tropical rain forest. PloS one 6(3), e18101. https://doi.org/10.1371/journal.pone.0018101
Trieu N.V., 2017, Research on structural characteristics and biodiversity of natural forests at Tam Dao National Park, Vinh Phuc. Vietnam National University of Forestry, Xuan Mai, Hanoi, Vietnam.
Truax B., Gagnon D., Lambert F. & Fortier J., 2015, Multiple-use zoning model for private forest owners in agricultural landscapes: A case study. Forests 6(10): 3614–3664. https://doi.org/10.3390/f6103614
Tuan H.M., 2017, Research on forest structure and plant diversity of natural forests at Ba Be National Park, Bac Kan. Vietnam National University of Forestry, Xuan Mai, Hanoi, Vietnam.
Tunçkol B., Aksoy N., Çoban S. & Zengin H., 2020, Diversity and ecology of forest communities in Küre Mountains National Park of Turkey. BOSQUE 41(3): 289–305. https://doi.org/10.4067/S0717-92002020000300289
Van P.Q. & Hien C.T.T., 2018, Some structural characteristics and tree species diversity of forest state IIIA in An Lao district, Binh Dinh province. Journal of Forestry Science and Technology 1/2018: 69–78 (in Vietnamese, summary in English).
West B.T., Welch K.B. & Gatecki A.T., 2015, Linear Mixed Models: A practical Guide Using Statistical Software. CRC Press, Taylor & Francis Group, 6000 Broken Sound Parkway NW, Suite 300, Boca Raton, Florida, USA.
Xu Q., Lei X., Zang H. & Zeng W., 2022, Climate Change Effects on Height–Diameter Allometric Relationship Vary with Tree Species and Size for Larch Plantations in Northern and Northeastern China. Forests 13(3), 468. https://doi.org/10.3390/f13030468
Zang H., Lei X. & Zeng W., 2016, Height–diameter equations for larch plantations in northern and northeastern China: a comparison of the mixed-effects, quantile regression and generalized additive models. Forestry: An International Journal of Forest Research 89(4): 434–445. https://doi.org/10.1093/forestry/cpw022
Zar J.H., 2010, Biostatistical Analysis (5th Edition). Prentice Hall, Upper Saddle River, New Jersey 07458, USA.
Zhang L., 1997, Cross-validation of non-linear growth functions for modelling tree height–diameter relationships. Annals of Botany 79(3): 251–257. https://doi.org/10.1006/anbo.1996.0334
Zuur A.F., Ieno E.N., Walker N.J., Saveliev A.A. & Smith G.M., 2009, Mixed Effects Models and Extensions in Ecology with R. Springer, USA.
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