Estimation of cross-sectional areas of individual tree stems using remotely collected data

Gabriel Lessa Lavagnoli , Gilson Fernandes da Silva , Giovanni Correia Vieira , André Quintão Almeida , Adriano Ribeiro de Mendonça , Carlos Pedro Boechat Soares

Journal of Forestry Research ›› 2025, Vol. 36 ›› Issue (1) : 118

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Journal of Forestry Research ›› 2025, Vol. 36 ›› Issue (1) :118 DOI: 10.1007/s11676-025-01920-0
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Estimation of cross-sectional areas of individual tree stems using remotely collected data

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Abstract

We investigated the impact of convexity and isoperimetric deficits on the accuracy of sectional area estimates of tree stems using traditional methods (caliper, tape, formulas based on stem diameter and circumference). In two complementary experiments, the use of photographs to estimate cross-sectional areas was first validated, then the use of a caliper and diameter tape was computer-simulated. The results indicated that the photographic method offers high precision, with mean relative errors below 0.1%, minimal deviation, and no significant bias, and the traditional methods led to substantial and systematic errors, with deviations from circularity and convexity significantly increasing the errors in area estimation.

Corresponding editor: Tao Xu.

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Keywords

Tree cross-sectional area measurement / Isoperimetric deficit / Convexity deficit / Photographic estimation / Forest mensuration / Stem geometry / Error analysis

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Gabriel Lessa Lavagnoli, Gilson Fernandes da Silva, Giovanni Correia Vieira, André Quintão Almeida, Adriano Ribeiro de Mendonça, Carlos Pedro Boechat Soares. Estimation of cross-sectional areas of individual tree stems using remotely collected data. Journal of Forestry Research, 2025, 36(1): 118 DOI:10.1007/s11676-025-01920-0

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References

[1]

AholaJM, HeikkiläT, RaitilaJ, SipolaT, TenhunenJ. Estimation of breast height diameter and trunk curvature with linear and single-photon LiDARs. Ann for Sci, 2021, 78379.

[2]

AntonH, BivensIC, DavisSCalculus, 201210Hoboken. Wiley.

[3]

Avery TE, Burkhart HE (2015) Forest Measurements, 6th edn. Waveland Press, Inc., Long Grove, Illinois, 2nd edn, USA

[4]

BlåsjöV. The isoperimetric problem. Am Math Mon, 2005, 112(6): 526-566.

[5]

BradenB. The surveyor’s area formula. Coll Math J, 1986, 17(4): 326-337.

[6]

Brown S (1997) Estimating biomass and biomass change of tropical forests: a primer. FAO Forestry Paper 134. FAO—Food and Agriculture Organization of the United Nations, Rome

[7]

ChaveJ, AndaloC, BrownS, CairnsMA, ChambersJQ, EamusD, FölsterH, FromardF, HiguchiN, KiraT, LescureJP, NelsonBW, OgawaH, PuigH, RiéraB, YamakuraT. Tree allometry and improved estimation of carbon stocks and balance in tropical forests. Oecologia, 2005, 145(1): 87-99.

[8]

ChernovNCircular and linear regression: fitting circles and lines by least squares, 2010, Boca Raton. CRC Press. .

[9]

Cormen TH, Leiserson CE, Rivest RL, Stein C (2001) Introduction to Algorithms, 2nd edn. Monographs on Statistics and Applied Probability. MIT Press and McGraw-Hill, New York, pp. 949–955

[10]

DemolM, VerbeeckH, GielenB, ArmstonJ, BurtA, DisneyM, DuncansonL, HackenbergJ, KükenbrinkD, LauA, PlotonP, SewdienA, StovallA, TakoudjouSM, VolkovaL, WestonC, WortelV, CaldersK. Estimating forest above-ground biomass with terrestrial laser scanning: current status and future directions. Methods Ecol Evol, 2022, 13(8): 1628-1639.

[11]

GollobC, KrassnitzerR, NothdurftA, RitterT, TocknerA, ErberG, KühmaierM, HönigsbergerF, VarchT, HolzingerA, StampferK. Measurement of individual tree parameters with carriage-based laser scanning in cable yarding operations. Croat J for Eng (Online), 2023, 44(2): 401-417.

[12]

KauaiF, Dalla CorteAP, CysneirosV, PelissariAL, SanquettaCR. Evaluation of forest inventory processes in a forest under concession in the southwestern Brazilian Amazon. Acta Amaz, 2019, 49(2): 91-96.

[13]

KershawJA, DuceyMJ, BeersTW, HuschBForest Mensuration, 20175Chichester, UK. John Wiley & Sons.

[14]

LeiteHG, de OliveiraFHT. Statistical procedure to test identity between analytical methods. Commun Soil Sci Plant Anal, 2002, 33(7–8): 1105-1118.

[15]

Leon SJ (2010) Linear algebra with applications. Featured Titles for Linear Algebra (Introductory) Series. Pearson/Prentice Hall, Upper Saddle River, NJ. 28

[16]

Loetsch F, Zöhrer F, Haller KE (1973) Forest inventory vol. 2, 2nd edn., BVL Verlagsgesellschaft, Munich, p 469

[17]

MäkinenA, KangasA, MehtätaloL. Correlations, distributions, and trends in forest inventory errors and their effects on forest planning. Can J for Res, 2010, 40(7): 1386-1396.

[18]

Matérn B (1956) On the geometry of the cross-section of a stem. Statens Skogsforskningsinstitut, Stockholm, Sweden.

[19]

MoltoQ, RossiV, BlancL. Error propagation in biomass estimation in tropical forests. Methods Ecol Evol, 2013, 4(2): 175-183.

[20]

NakajimaH. Plot location errors of National Forest Inventory: related factors and adverse effects on continuity of plot data. J for Res, 2016, 21(6): 300-305.

[21]

NealeWT, HesselD, TerpstraT. Photogrammetric measurement error associated with lens distortion. SAE Tech Pap Ser, 2011.

[22]

PerssonHJ, EkströmM, StåhlG. Quantify and account for field reference errors in forest remote sensing studies. Remote Sens Environ, 2022, 283. 113302

[23]

Prodan M, Holzmesslehre JD (1965) Sauerländer’s Verlag, Frankfurt am Main. 29Professor an der Universit¨at Freiburg/Br. ISBN 9783540581666

[24]

Soares CPB, Paula Neto Fd, Souza ALd (2011) Dendrometria e Inventário Florestal, 2nd edn., UFV, Viçosa, Brazil, p 272

[25]

StewartDENumerical analysis: a graduate course, 2022, Berlin. Springer International Publishing. .

[26]

StovallAEL, MacFarlaneDW, CrawfordD, JovanovicT, FrankJ, BrackC. Comparing mobile and terrestrial laser scanning for measuring and modelling tree stem taper. Forestry, 2023, 96(5): 705-717.

[27]

StrangGIntroduction to linear algebra, 20164Wellesley. Wellesley-Cambridge Press.

[28]

TischendorfW. The influence of eccentricity of tree stem cross-sections on the measurement result in stand volume determination by caliper measurement. Centralbl Gesammte Forstwes, 1943, 69: 87-94

[29]

van LaarA, AkçaAForest mensuration, 2007, Netherlands. Springer. .

[30]

WitzmannS, MatitzL, GollobC, RitterT, KraßnitzerR, TocknerA, StampferK, NothdurftA. Accuracy and precision of stem cross-section modeling in 3D point clouds from TLS and caliper measurements for basal area estimation. Remote Sens, 2022, 1481923.

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