Applications of hypsometric relations and volumetry in seminal eucalyptus stand
DOI:
https://doi.org/10.5965/223811712332024492Keywords:
height, regression, artificial intelligenceAbstract
Scientific investigations on the application of hypsometric relationships provide important support for quantification of wood resources and forest management. This research aimed to evaluate the effect of alternatives for the use of hypsometric relationships on height and volume in a seminal eucalypt stand. Forest inventory was carried out at 60 months of age and consisted random distribution of 10 sampling units. Two approaches were evaluated for the application of hypsometric relationships using different modeling methods, one which estimates height of all inventoried stems (P1, estimated heights) and other based on estimating the height of only those individuals who had only DBH measured (P2, combination of measured and estimated heights). Hypsometric relationships of the models fits of Curtis (linear regression), Logistic (non-linear regression) and support vector machines with radial basis Kernel function exhibited the best predictive qualities. Calculated volumes do not differ statistically between approaches P1 and P2. It is concluded that P1 approach is an alternative for application of properly established hypsometric relationships and does not compromise forest volumetric quantification. Biometric variability tends to be smaller with the estimation of the height of all inventoried stems.
Downloads
References
ABREU NETO R et al. 2021. Describing the structure and relationship of height and diameter in an old unmanaged Eucalyptus spp. plantation. Floresta e Ambiente 28: e20200087.
BATISTA JLF, COUTO HTZ & SILVA FILHO DF. 2014. Quantificação de recursos florestais: árvores, arvoredos e florestas. 1.ed. São Paulo: Oficina de Textos. 384p.
BUENO GF & COSTA EA. 2020. Comparação preditiva de modelos hipsométricos em plantio de eucalipto: equação de regressão e redes neurais artificiais. Enciclopédia Biosfera 17: 654-664.
CAMPOS JCC & LEITE HG 2017. Mensuração Florestal: perguntas e respostas. 5.ed. Viçosa: Ed. UFV. 636p.
CURTIS RO. 1967. Heigth, diameter and height diameter age equations for second growth Douglas-fir. Forest Science 13: 365-375.
DANTAS D et al. 2020. Reduction of sampling intensity in forest inventories to estimate the total height of eucalyptus trees. Bosque 41: 353-364.
GOMPERTZ B. 1825. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society of London B: Biological Sciences 115: 513-585.
GUIMARÃES CC et al. 2019. Biomass production and nutritional efficiency in Eucalyptus genotypes in the Pampa biome. Journal of Experimental Agriculture International, 34: 1-10.
GUJARATI DN & PORTER DC. 2011. Econometria básica 5.ed. Porto Alegre: AMGH Editora Ltda. 924p.
HENRICKSEN HA. 1950. Height-diameter curve with logarithmic diameter: brief report on a more reliable method of height determination from height curves, introduced by the State Forest Research Branch. Dansk Skovforen Tidsskr 35: 193-202.
KUMAR VA et al. 2019. Prediction of student final exam performance in an introductory programming course: development and validation of the use of a support vector machine-regression model. Asian Journal of Education and e-Learning 7: 2321-2454.
LAFETÁ BO et al. 2020. Modelagem morfométrica de Licania tomentosa (Benth.) por regressão logística e máquinas vetor de suporte. Scientia Plena 16: 060206.
MARTINS JFC et al. 2021. Modelagem hipsométrica de povoamentos de acácia-negra usando linguagem de programação Julia. BIOFIX Scientific Journal 6: 133-152.
MEYER D et al. 2023. e1071: Misc Functions of the Department of Statistics, Probability Theory Group (Formerly: E1071), TU Wien. Disponível em: https://cran.r-project.org/web/packages/e1071/e1071.pdf. Acesso em: 20 dez. 2023.
MIGUEL EP et al. 2018. Modelagem hipsométrica em povoamentos hibrido clonal de Eucalyptus hypsometric modeling hybrid clonal Eucalyptus stands. Revista Agrarian 11: 159-167.
NICOLETTI MF et al. 2020. Equações hipsométricas, volumétricas e funções de afilamento para Pinus spp. Revista de Ciências Agroveterinárias 19: 474-482.
R CORE TEAM 2022. R: A language and environment for statistical computing. Vienna, Austria. Disponível em: https://www.R-project.org/
SANQUETTA MNI et al. 2015. Ajuste de equações hipsométricas para a estimação da altura total de indivíduos jovens de teca. Científica 43: 400-406.
SCOLFORO HF et al. 2015. Hypsometric approaches to Eucalyptus experiments in Brazil. African Journal of Agricultural Research 10: 4176-4184.
SHARMA RP et al. 2019. Modelling individual tree height– diameter relationships for multi-layered and multi-species forests in central Europe. Trees Structure and Function 33: 103-119.
SOARES GM et al. 2021. Artificial neural networks (ANN) for height estimation in a mixed-species plantation of Eucalyptus globulus Labill and Acacia mearnsii de Wild. Revista Árvore 45: e4512.
SPURR SA. 1962. Measure of point density. Forest Science 8: 85-96.
STOFFELS A & SOEST JV. 1953. The main problems in sample plots. Ned Bosbouwtijdschr 25: 190-199.
TAIZ L et al. 2017. Fisiologia e desenvolvimento vegetal. 6.ed. Porto Alegre: Artmed. 888p.
TÉO SJ & SILVA TC. 2020. General height-diameter equation depending on the stand variables, for Eucalyptus benthamii. Floresta e Ambiente 27: e20180302.
TROREY LGA. 1932. A mathematical method for construction of diameter-height curves based on site. Forest Chronicle 8: 121-132.
VAPNIK VN. 1995. The nature of statistical learning theory. 1.ed. New York: Springer-Verlag. 188p.
VIEIRA GC et al. 2018. Prognoses of diameter and height of trees of eucalyptus using artificial intelligence. Science of the Total Environment, 619-620: 1473-1481.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Authors & Revista de Ciências Agroveterinárias
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors publishing in this journal are in agreement with the following terms:
a) Authors maintain the copyrights and concede to the journal the copyright for the first publication, according to Creative Commons Attribution Licence.
b) Authors have the authority to assume additional contracts with the content of the manuscript.
c) Authors may supply and distribute the manuscript published by this journal.
