Destructive sampling-based allometric equations for biomass and carbon estimation in Acacia hybrid plantations in Southeastern Vietnam

Main Article Content

NGUYEN THI HA
TRAN QUANG BAO
NGUYEN THANH TUAN
DIEGO I. RODRÍGUEZ-HERNÁNDEZ
NGUYEN TIEN DUNG
TRAN THI NGOAN

Abstract

Abstract. Ha NT, Bao TQ, Tuan NT, Rodríguez-Hernández DI, Dung NT, Ngoan TT. 2025. Destructive sampling-based allometric equations for biomass and carbon estimation in Acacia hybrid plantations in Southeastern Vietnam. Nusantara Bioscience 16: 203-217. This study developed accurate allometric equations for estimating aboveground and belowground biomass, as well as carbon stocks, for Acacia hybrid (Acacia mangium × Acacia auriculiformis) plantations in Southeastern, Vietnam. A dataset of 45 destructively sampled trees with varying ages and diameter classes was used to validate the models. The fresh biomass of the four tree components (stem, branches, leaves, and roots) was measured for a total of 180 samples. Samples were oven-dried at 105°C for stems and branches, and 80°C for leaves, to determine their biomass. Linear and non-linear equations were employed to model both individual tree and stand-level dry biomass (AGB: aboveground biomass, BGB: belowground biomass, TGBG: total biomass), and carbon stocks (AGC: aboveground carbon, BGC: belowground carbon, TGC: total carbon). Diameter at breast height (DBH), tree height (H), stand density (SD), and stand age (A) were included as predictor variables. The best-fitting models were selected based on coefficients of determination (R²), sum of squared errors (SEE), mean absolute error (MAE), sum of squared residuals (SSR), correction factors (CF), mean absolute percentage error (MAPE), and root mean square error (RMSE), with R² values greater than 0.895 and RMSE values less than 0.363. The results revealed strong relationships between aboveground and belowground biomass, and logarithmic functions of DBH and tree height were found to be good predictors for all biomass components. The key equations are: ln(AGB) = -3.03805 + 0.586847*ln(DBH*H) + 1.58329*ln(DBH); ln(BGB) = -0.597955 + 0.485409*ln(DBH)2; ln(TGB) = -2.65453 + 2.11674*ln(DBH) + 0.57522*ln(H). Among the variables, DBH was found to be particularly effective in estimating BGB. At the stand level, total biomass (TSB) has a significant correlation with stand density, mean diameter, and stand height, as shown in the following equation: Ln(TSB) = -9.85561 + 1.09128*ln(SD) + 1.96789*ln(Ds) + 0.608831*ln(Hs).  These models provide foresters with valuable tools for estimating biomass and carbon accumulation in Acacia hybrid plantations. The total carbon stock of the Acacia hybrid population in the study area ranged from 29.0 tons/ha to 313.3 tons/ha. This information can support carbon accounting efforts and contribute to Vietnam's initiatives for carbon reduction and climate change mitigation.

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How to Cite

HA, N.T. (2025) “Destructive sampling-based allometric equations for biomass and carbon estimation in Acacia hybrid plantations in Southeastern Vietnam”, Nusantara Bioscience, 17(2). doi:10.13057/nusbiosci/n170203.

References

Abich A, Mucheye T, Tebikew M, Gebremariam Y, Alemu A. 2019. Species-specific allometric equations for improving aboveground biomass estimates of dry deciduous woodland ecosystems. J For Res 30 (5): 1619-1632. DOI: 10.1007/s11676-018-0707-5.

Adam NS, Jusoh I. 2018. Allometric model for predicting aboveground biomass and carbon stock of Acacia plantations in Sarawak, Malaysia. BioResources 13: 7381-7394. DOI: 10.15376/biores.13.4.7381-7394.

Altanzagas B, Luo Y, Altansukh B, Dorjsuren C, Fang J, Hu H. 2019. Allometric equations for estimating the above-ground biomass of five forest tree species in Khangai, Mongolia. Forests 10 (8): 661. DOI: 10.3390/f10080661.

Anderson-Teixeira KJ, Herrmann V, Banbury Morgan R, Bond-Lamberty B, Cook-Patton SC, Ferson AE, Muller-Landau HC, Wang MMH. 2021. Carbon cycling in mature and regrowth forests globally. Environ Res Lett 16 (5): 053009. DOI: 10.1088/1748-9326/abed01.

Aneseyee AB, Soromessa T, Elias E, Feyisa GLJCB. 2021. Allometric equations for selected Acacia species (Vachellia and Senegalia genera) of Ethiopia. Carbon Balance Manag 16: 34. DOI: 10.1186/s13021-021-00196-1.

Anitha K, Verchot LV, Joseph S, Herold M, Manuri S, Avitabile V. 2015. A review of forest and tree plantation biomass equations in Indonesia. Ann For Sci 72: 981-997. DOI: 10.1007/s13595-015-0507-4.

Annighöfer P, Mund M, Seidel D, Ammer C, Ameztegui A, Balandier P, Bebre I, Coll L, Collet C, Hamm T, Huth F, Schneider H, Kuehne C, Löf, Mary Petritan A, Catalin Petritan I, Peter S, Jürgen B. 2022. Examination of aboveground attributes to predict belowground biomass of young trees. For Ecol Manag 505: 119942. DOI: 10.1016/j.foreco.2021.119942.

Baba AM, Midi H, Adam MB, Rahman NHA. 2021. Detection of influential observations in spatial regression model based on outliers and bad leverage classification. Symmetry 13: 2030. DOI: 10.3390/sym13112030.

Bao TQ, Phuc VT. 2018. Biomass and CO2 sequestration of Acacia hybrid plantation in Ba Ria Vung Tau Province. J For Sci 2: 69-75. [Vietnamese]

Bieluczyk W, Asselta FO, Navroski D, Gontijo JB, Venturini AM, Mendes LW, Simon CP, de Camargo PB, Tadini AM, Martin-Neto L, Bendassolli JA, Rodrigues RR, van der Putten WH, Tsai SM. 2023. Linking above and belowground carbon sequestration, soil organic matter properties, and soil health in Brazilian Atlantic Forest restoration. J Environ Manag 344: 118573. DOI: 10.1016/j.jenvman.2023.118573.

Brahma B, Nath AJ, Deb C, Sileshi GW, Sahoo UK, Das AK, 2021. A critical review of forest biomass estimation equations in India. Tree For People 5: 100098. DOI: 10.1016/j.tfp.2021.100098.

Brown S, FAO. 1997. Estimating Biomass and Biomass Change of Tropical Forests: A Primer, FAO FORESTRY PAPER 134. A Forest Resources Assessment publication, Rome.

Brown S, Lugo AE. 1982. The storage and production of organic matter in tropical forests and their role in the global carbon cycle. Biotropica 14 (3): 161-187. DOI: 10.2307/2388024.

Cabrera-Ariza A, Valdés S, Gilabert H, Santelices-Moya RE, Alonso-Valdés M. 2021. Allometric models for estimating aboveground biomass in short rotation crops of Acacia species in two different sites in Chile. Forests 12 (12): 1767. DOI: 10.3390/f12121767.

Cao L, Li H. 2019. Analysis of error structure for additive biomass equations on the use of multivariate likelihood function. Forests 10 (4): 298. DOI: 10.3390/f10040298.

Chave J, Réjou?Méchain M, Búrquez A, Chidumayo E, Colgan MS, Delitti WB, Duque A, Eid T, Fearnside PM, Goodman RC. 2014. Improved allometric models to estimate the aboveground biomass of tropical trees. Glob Chang Biol 20: 3177-3190. DOI: 10.1111/gcb.12629.

Dabi H, Bordoloi R, Das B, Paul A, Tripathi OP, Mishra BP. 2021. Biomass, carbon stock and soil physicochemical properties in plantation of East Siang district, Arunachal Pradesh, India. Environ Chall 4: 100191. DOI: 10.1016/j.envc.2021.100191.

Dinh Kha L, Huy Thinh H. 2017. Research and development of Acacia hybrids for commercial planting in Vietnam. Vietnam J Sci Technol Eng 59 (1): 36-42. DOI: 10.31276/VJSTE.59(1).36.

Dixon RK, Solomon A, Brown S, Houghton R, Trexier M, Wisniewski J. 1994. Carbon pools and flux of global forest ecosystems. Science 263 (5144): 185-190. DOI: 10.1126/science.263.5144.185.

Doan TNM, Vu VM, Ruano I, Bravo F. 2025. Disentangling the relationship of aboveground biomass, structure and tree diversity in a mixed Acacia plantation in Northern Vietnam. Eur J For Res 144: 941-961. DOI: 10.1007/s10342-025-01776-3.

FAO [Food and Agriculture Organization]. 2015. Global Forest Resources Assessment 2015, Food and Agriculture Organization of the United Nations, Rome.

Hamrick K, Gallant M. 2017. Unlocking Potential: State of the Voluntary Carbon Markets 2017. Forest Trends. https://www.forest-trends.org/ publications/unlocking-potential/.

Handavu F, Syampungani S, Sileshi GW, Chirwa PWC. 2021. Aboveground and belowground tree biomass and carbon stocks in the miombo woodlands of the Copperbelt in Zambia. Carbon Manag 12 (3): 307-321. DOI: 10.1080/17583004.2021.1926330.

Huy B, Poudel KP, Temesgen H. 2016. Aboveground biomass equations for evergreen broadleaf forests in South Central Coastal ecoregion of Viet Nam: Selection of eco-regional or pantropical models. For Ecol Manag 376: 276-283. DOI: 10.1016/j.foreco.2016.06.031.

IPCC [Intergovernmental Panel on Climate Change]. 2006. Guidelines for National Greenhouse Gas Inventories. Agriculture, Forestry and Other Land Use. Forest Land. https://www.ipcc-nggip.iges.or.jp/ public/2006gl/pdf/4_Volume4/V4_04_Ch4_Forest_Land.pdf#page=17&zoom=100,92,514.

Jenkins JC, Chojnacky DC, Heath LS, Birdsey RA. 2003. National-scale biomass estimators for United States tree species. For Sci 49 (1): 12-35. DOI: 10.1093/forestscience/49.1.12.

Kenzo T, Himmapan W, Yoneda R, Tedsorn N, Vacharangkura T, Hitsuma G, Noda I. 2020. General estimation models for above- and below-ground biomass of teak (Tectona grandis) plantations in Thailand. For Ecol Manag 457: 117701. DOI: 10.1016/j.foreco.2019.117701.

Levan C, Buimanh H, Tope BOO, Xu X, Nguyenminh T, Lak C, Nebiyou L, Wang J, Buivan T. 2020. Biomass and carbon storage in an age-sequence of Acacia mangium plantation forests in Southeastern region, Vietnam. For Syst 29 (2): 65-80. DOI: 10.5424/fs/2020292-16685.

Liu Y, Li S, Sun X, Yu X. 2016. Variations of forest soil organic carbon and its influencing factors in east China. Ann For Sci 73: 501-511. DOI: 10.1007/s13595-016-0543-8.

Luo Y, Wang X, Ouyang Z, Lu F, Feng L, Tao J. 2020. A review of biomass equations for China’s tree species. Earth Syst Sci Data 12 (1): 21-40. DOI: 10.5194/essd-12-21-2020.

Magerl A, Le Noë J, Erb KH, Bhan M, Gingrich S. 2019. A comprehensive data-based assessment of forest ecosystem carbon stocks in the US 1907-2012. Environ Res Lett 14 (12): 125015. DOI: 10.1088/1748-9326/ab5cb6.

MARD [Ministry of Agriculture and Rural Development]. 2020. Promulgation of the state of National forests. Ministry of Agriculture and Rural Development No. 1558/Q?-BNN-TCLN, Ha Noi, Viet Nam.

MONRE [Ministry of Natural Resources and Environment]. 2022. Updated Nationally Determined Contribution (NDC) of Vietnam. Ministry of Natural Resources and Environment, Vietnam. https://unfccc.int/sites/ default/files/NDC/2022-11/Viet%20Nam_NDC_2022_Eng.pdf

NFI [National Forest Inventory]. 2003. Australia’s State of the Forests Report 2003, National Forest Inventory, Bureau of Rural Sciences, Canberra.

Nguyenthi H. 2017. Study on building Allometric equations for estimating the biomass and carbon stocks of mangrove forests based on the application of Remote Sensing and GIS in Ca Mau Province. [Doctoral Dissertation]. Vietnam Forestry University, Ha Noi.

Paul KI, Roxburgh SH, Chave J et al. 2016. Testing the generality of above?ground biomass allometry across plant functional types at the continent scale. Glob Chang Biol 22 (6): 2106-2124. DOI: 10.1111/gcb.13201.

Pham TT, Hoang TL, Nguyen DT, Dao TLC, Ngo HC, Pham VH. 2019. The context of REDD+ in Vietnam: Drivers, agents and institutions [2nd edition]. CIFOR Occasional Paper No. 196. Center for International Forestry Research (CIFOR), Bogor. DOI: 10.17528/cifor/007402.

Phan SM, Nguyen HTT, Nguyen TK, Lovelock C. 2019. Modelling above ground biomass accumulation of mangrove plantations in Vietnam. For Ecol Manag 432: 376-386. DOI: 10.1016/j.foreco.2018.09.028.

Pothong T, Elliott S, Chairuangsri S, Chanthorn W, Shannon DP, Wangpakapattanawong P. 2022. New allometric equations for quantifying tree biomass and carbon sequestration in seasonally dry secondary forest in northern Thailand. New For 53:17-36. DOI: 10.1007/s11056-021-09844-3.

Prabha ACS, Rajkamal A, Senthivelu M, Pragadeesh S. 2023. Carbon stock in biomass of important plantations in the southern zone of Tamil Nadu, India. Ecol Environ Conserv 29 (2): 688-692. DOI: 10.53550/EEC.2023.v29i02.022.

Rizvi A, Baig S, Barrow E, Kumar C. 2015. Synergies between climate mitigation and adaptation in forest landscape restoration, Global Forest and Climate Change Programme, International Union for Conservation of Nature, Gland, Switzerland.

Salunkhe O, Khare PK, Kumari R, Khan ML. 2018. A systematic review on the aboveground biomass and carbon stocks of Indian forest ecosystems. Ecol Processes 7: 17. DOI: 10.1186/s13717-018-0130-z.

Schettini BLS, Jacovine LAG, Torres CMME, Carneiro ACO, Castro RVO, Villanova PH, de Rocha SJSS, Rufino MPMX, de Oliveira Neto SN, de Morais Júnior VTM. 2022. Use of destructive and non-destructive methodologies to estimate stem biomass accumulation and carbon stock in an eucalyptus forest. Revista Árvore 46: e4611. DOI: 10.1590/1806-908820220000011.

Siraj KT, Teshome BB. 2017. Potential difference of tree species on carbon sequestration performance and role of forest based industry to the environment (Case of Arsi Forest Enterprise Gambo District). Environ Pollut Clim Chang 1: 2-10. DOI: 10.4172/2573-458X.1000132.

Solomon N, Birhane E, Tadesse T, Treydte AC, Meles K. 2017. Carbon stocks and sequestration potential of dry forests under community management in Tigray, Ethiopia. Ecol Processes 6: 20. DOI: 10.1186/s13717-017-0088-2.

Tashi S, Keitel C, Singh B, Adams M. 2017. Allometric equations for biomass and carbon stocks of forests along an altitudinal gradient in the eastern Himalayas. Forestry: Intl J For Res 90 (3): 445-454. DOI: 10.1093/forestry/cpx003.

Tuan NT, Rodríguez-Hernández DI, Tuan VC, Quy NV, Obiakara MC, Hufton J. 2022. Effects of tree diversity and stand structure on above-ground carbon storage in evergreen broad-leaved and deciduous forests in Southeast Vietnam. Dendrobiology 88: 38-55. DOI: 10.12657/denbio.088.003.

Vinh TV, Marchand C, Linh TCK, Vinh DD, Allenbach M. 2019. Allometric models to estimate above-ground biomass and carbon stocks in Rhizophora apiculata tropical managed mangrove forests (Southern Viet Nam). For Ecol Manag 434: 131-141. DOI: 10.1016/j.foreco.2018.12.017.

Zhang H, Duan H, Song M, Guan D. 2018. The dynamics of carbon accumulation in Eucalyptus and Acacia plantations in the Pearl River delta region. Ann For Sci 75: 40. DOI: 10.1007/s13595-018-0717-7.