Using 3d Scanning Technique for Estimating Forest Standing Volume

Nguyen Van Thinh, Tran Lam Dong, Pham Tien Dung, Nguyen Van Tuan, Doan Trung Hieu, Nguyen Huy Hoang, Nguyen Viet Cuong, Nguyen Thi Thu Phuong, Vo Dai Nguyen, Nguyen Van Bich


The use of 3D (three-dimensional) scanning in calculating tree's volume is discussed and suitable equations are fitted for estimating stand volume based on stem diameter at breast height (DBH) and height in the form of power and logarithmic functions. One hundred eighty-four individuals of Hopea odorata, Dipterocarpus alatus and Afzelia xylocarpa were scanned. Then, 3D images were used to calculate an individual tree's volume, based on sectioning the main stem and branches by assuming the cylinder of each section. The results indicated that 3D image calculations underestimated volume by 2.1-4.8% compared to the water displacement method by testing spiral branches of 4.3-15.7 cm diameter. The logarithmic function is the best-fitted model for each species and the combination of three species. A. alatus, H. odorata and combination of three species require both DBH and height, while A. xylocarpa needs only DBH in volume estimation. All four best fitted equations have Adjusted R-Squared > 0.88 and underestimate < 0.9% 3D volume. The smallest underestimate of 0.02% 3D volume belongs to the best-fitted equation for combination of three species, indicating the potentiality of using a combination of three species equation for estimating the volume of all species, especially in natural forests. It is concluded the suitability of using the 3D scanning technique for calculating individual tree's volume with high accuracy and establishing volume equations for multiple species applications, especially in the tropical forest.


Cylinder form; individual volume calculation; sectioning; tropical forest; underestimate.

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Abramo, E., Barilotti, A., and Sepic, F. 2007. From a diameter-based to a height-based dendrometry: Estimate of tree volume from laser scanning measurements. Forest. 4: 373-385. doi: 10.3832/efor0481-0040373

Altherr, E. 1960. The accuracy of the various methods of measurement of absolute and relative stem sections. Allgemeine Forst- und Jagdzeitung. 131(10): 226-237.

Assmann, E. 1970. The principles of forest yield study. Studies in the organic production, structure, increment and yield of forest stands. New York: Pergamon Press.

Bao, H., Kralicek, K., Poudel, K.P., Vu, T.P., Phung, V.K., Nguyen, D.H., and Temesgen, H. 2016. Allometric equations for estimating tree aboveground biomass in evergreen broadleaf forests of Viet Nam. For. Ecol. Manage. 382: 193-205. doi:

Berger., Ambros., Gschwantner, T., McRoberts, R.E., and Schadauer, K. 2014. Effects of measurement errors on individual tree stem volume estimates for the Austrian national forest inventory. For. Sci. 60: 14-24. doi:

Brown, S. 1997. Estimating biomass and biomass change of tropical forests: a primer. Forestry Paper 134. FAO, Rome.

Cao, Z., Feng, Z., and Xu, W. 2015. Standing tree volume nondestructive measurement methods and precision analysis based on electronic theodolite. J. Central South Uni. For. Technol. 46: 7-13.

Deng, X.R., Feng, Z.K., and Lou, X. 2005. Application of three-dimensional laser scanning system in forestry. J. Beijing For. Uni. 27: 43-47.

Erik, N., Terje, G., Johan, H., Hannu, H., Juha, H., Matti, M., Mats, N., Håkan, O., Åsa, P., and Ulf, S. 2004. Laser scanning of forest resources: the Nordic experience. Scandinavian J. For. Res. 19: 482-499. doi:

Fan, H.Y. 2004. Research on engineering application of cyra 3D laser scanning system. Mine Surveying. 3: 16-18.

Grosenbaugh, L.R. 1966. Tree form: definition, interpolation, and extrapolation. For. Chron. 42: 444-457. doi:

Hazard, J.W., and Berger JM (1972) Volume tables vs. dendrometers for forest surveys. J. For. 70: 216-219. doi:

He, C., Hong, X., Liu, K., Zhang, S., and Wang, Q. 2016. An improved technique for non-destructive measurement of the stem volume of standing wood. Southern For.: A J For. Sci. 78: 53-60. doi:

Heger, L. 1965. A trial of Hohenadl's method of stem form and stem volume estimation. For. Chron. 41: 466-475. doi:

Hoyer, and Gerald, E. 1985. Tree form quotients as variables in volume estimation. Res. Pap. PNW-345. Portland, OR: U.S. Department of Agriculture, Forest Service, Pacific Northwest Forest and Range Experiment Station, 16 p.

Hypypa, J. 2001. A Segmentation-based method to retrieve stem volume estimates from 3D tree height models produced by laser scanners. IEEE Trans. Geoscience Rem. Sen. 39: 969-975. doi:

Lindberg, E., and Johan, H. 2017. Individual tree crown methods for 3D data from remote sensing. Curr. For. Rep. 3: 19–31. doi:

Liyan, Y., Feng, Z., Liu, Y., Liu, J., and Sun, R. 2018. Method of measuring tree height and volume based on CCD SmartStation. Nature Environ. Pollut. Technol. 17: 1305-1313.

Mao, F.R., and Wang, L. 2005. Measurement technology of 3D laser scanning. J. Astron. Metrol. Measure. 25: 1-6.

Nguyen, V.C., Fripp, J., Lovell, D.R., Furbank, R., Kuffner, P., Daily, H., and Sirault, X. 2016. 3D scanning system for automatic high-resolution plant phenotyping. IEEE Xplore. International Conference on Digital Image Computing: Techniques and Applications. doi:

Nguyen V.T., Nguyen V.T., Pham T.D., Nguyen H.H., Nguyen V.C., and Tran V.D. 2022. Aboveground biomass and diversity of woody climber in evergreen forest, southern Vietnam. J. Austrian Soc. Agric. Econ. 18: 863-871.

Roebbelen, P., and Smith, V.G. 1981. Assessing the accuracy of a product-form tree volume equation. For. Chron. 57(3): 119-122.

Silva, J.A.A.D., Borders, B.E., and Brister, G.H. 1994. Estimating tree volume using a new form factor. Common. For. Rev. 73: 14-22.

Straub, C., and Koch, B. 2011. Estimating single tree stem volume of Pinus sylvestris using airborne laser scanner and multispectral line scanner data. Rem. Sen. 3: 929-944. doi:

Tompalski, P., Coops, N.C., White, J.C., and Wulder, M.A. 2014. Simulating the impacts of error in species and height upon tree volume derived from airborne laser scanning data. For. Ecol. Manage. 327: 167-177. doi:

Vonderach, C., Voegtle, T., and Adler, P. 2012. Voxel-based approach for estimating urban tree volume from terrestrial laser scanning data. International Archives of Photogrammetry, Rem. Sen. Spatial Infor. Sci. 39: 451-456. doi:

Wu, L.L., Feng, Z.K., Luo, X., and Deng, X.R. 2008. Study on application of three-dimensional laser scanning system in tree measuring. The Int. Archi. Photogrammetry, Rem Sen Spatial Infor. Sci. Vol. XXXVII. Part B1: 271-275. doi:

Yang, S.I., and Harold, E.B. 2019. Comparison of volume and stand table estimates with alternate methods for selecting measurement trees in point samples. Forestry 92: 42-51. doi:

Zhao, H., and Hu, L. 2010. Application of photo total station and PI-3000 software in 3D modeling of hydraulic structure. Bull. Surveying Mapp. 3: 47-49.

Zheng, D.H. 2005. Three-dimensional laser scanning image combination model and experimental analysis. J Hehai Uni. 33: 466-471.

Zheng, D.H., Shen, Y.Z., and Liu, C. 2005. 3D laser scanner and its effect factor analysis of surveying error. Engineer Surv. Mapp. 14: 31-34.


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