Assessment of Multiproducts in Schizolobium Parahyba var. Amazonicum Plantations: Tapering Functions Application in Livestock-Forestry Integration Systems
Bruno Fernandes Veras, Qüinny Soares Rocha, Patricia Ferreira Muribeca, Raylon Pereira Maciel, Lina Bufalino, Rodrigo Geroni Mendes Nascimento
Abstract
Given the strategic importance of commercial forest plantations of native species, this study aimed to select a tapering model to estimate the multiple products of Schizolobium parahyba var. amazonicum planting in integrated livestock-forestry systems in the Amazon and to identify the management regime with the highest production. The research was conducted in the state of Pará, comparing production as a function of variations in spacing and planting age. The Hradetzky, Schöepfer, and Max & Burkhart tapering models were evaluated, considering goodness-of-fit statistics and scatter plots. The Schöepfer model provided the most accurate estimate of tree cross-sectional volume. The management regime with 3.5 × 3.5 m spacing and 60 months promoted the highest assortment production (164 m³) and the lowest amount of residue (60 m³), indicating the largest spacing with the highest plant utilization.
Keywords
References
- Alvares CA, Stape JL, Sentelhas PC, Gonçalves JL de M, Sparovek G. Köppen’s climate classification map for Brazil. Meteorol Zeitschrift 2013; 22 (6): 711-728.
- Barbosa RA, Reis GG dos, Reis MDGF, Leite HG, Oliveira CH de R, Silva ML da, et al. Growth, yield and economic analysis of an eucalypt-soybean consortium: Effect of the distance between trees within the row. Revista Árvore 2019; 43 (2): 1-10.
- Baselly-Villanueva JR, Fernández-Sandoval A, Salazar-Hinostroza EJ, Cárdenas-Rengifo GP, Puerta R, Trigoso TSC, et al. MultiProduct optimization of Cedrelinga cateniformis (Ducke) Ducke in different plantation Systems in the Peruvian Amazon. Forests 2025; 16 (1): 1-32.
- Behling M, Martínez GB, Silva AR, Oliveira TK de, Cipriani HN. O eucalipto em sistemas de integração lavoura- pecuária-floresta (ILPF) na Amazônia. In: Oliveira EB de, Pinto Junior JE, editors. O eucalipto e a Embrapa, quatro décadas de Pesquisa e Desenvolvimento. Brasília: EMBRAPA; 2021.
- Bessi D, Bernardi AC de C, Pezzopane JRM, Tanaka MO. Decomposition and stabilization of the organic matter in integrated livestock production systems. Agroforestry System. 2024; 98 (7): 2275-2292.
- Biazatti SC, Môra R, Sccoti MSV, Brito Júnior JF de, Queiroz N dos S, Curto R de A. Criterion Dendrometer as a non-destructive method for dendrometric estimations of native species in Western Amazon. Revista Ibero-Americana Ciências Ambientais 2020; 11 (6): 59-70.
- Binkley D, Campoe OC, Alvares C, Carneiro RL, Cegatta Í, Stape JL. 2017. The interactions of climate, spacing and genetics on clonal Eucalyptus plantations across Brazil and Uruguay. Forest Ecology and Management. 2017; 405: 271-283.
- Callegari DM, Silva B do C, Santos LR dos, Pereira Jr EM, Batista BL, Lobato AK da S, et al. Physiological, biochemical and nutritional aspects in Schizolobium parahyba var. amazonicum (Huber ex Ducke) plants under different zinc supplies. Brazilian Journal of Botany 2022; 45 (3): 845-855.
- Campos JCC, Leite HG. Mensuração florestal: perguntas e respostas. 5th edn. Viçosa: UVF; 2017.
- Ceretta RP da S, Marques JD, Lima MDR, Assis-Pereira G de, Silva MG da, Gonçalves D de A, et al. Planted forests of Tachigali vulgaris in Eastern Amazonia: how spacing affects the anatomical variations and wood density. New Forests 2025; 56 (26): 1-25.
- Costa EA, Liesenberg V, Hess AF, Finger CAG, Schneider PR, Longhi RV, et al. Simulating Araucaria angustifolia (Bertol.) kuntze timber stockswith liocourt’s law in a natural forest in southern Brazil. Forests; 2020 11 (3): 1-14.
- Costa EA, Schons CT, Finger CAG, Hess AF. Fitting volume models for Parana Pine with a nonlinear regression, genetic algorithm and simulated annealing. Journal of Agricultural Science 2022; 14 (2): 36-47.
- Covey KR, Megonigal JP. Methane production and emissions in trees and forests. New Phytologist 2019; 222 (1): 35-51.
- Crawford E, Bowman A. Simple interactive controls for R functions using the tcltk package 2021.
- Delarmelina WM, Caldeira MVW, Souza PH de, Moreau JS, Paula RR, Trazzi PA, et al. Biomass and carbon in Schizolobium parahyba var. amazonicum stands under different spacing. Ciência Florestal 2023; 33 (3): 1-24.
- Dionisio LFS, Soares FL, Milhomem CA, Rodrigues RP, Bardales-lozano RM, Schwartz G. Methods for overcoming seed dormancy of Schizolobium parahyba var . Amazonicum. Revista Ciências Agrárias 2024; 47 (3): 454-462.
- Dziak JJ, Coffman DL, Lanza ST, Li R, Jermiin LS. Sensitivity and specificity of information criteria. Briefings in Bioinformatics 2020; 21 (2): 553-565.
- Eloy E, Caron BO, Elli EF, Schwerz F. Effect of age and spacing on biomass production in forest plantations. Revista Árvore 2018; 5 (2): e420214.
- Farias KJ, Nicoletti MF, Aguiar NS de. Quantification of total volume by volumetric models and tapering in Eucalyptus grandis W. Hill ex Maiden. Revista Ciencias Agroveterinárias 2019; 18 (1): 33-40.
- Felton A, Löfroth T, Angelstam P, Gustafsson L, Hjältén J, Felton AM, et al. Keeping pace with forestry: multi-scale conservation in a changing production forest matrix. Ambio 2020; 49 (5): 1050-1064.
- Ferraz Filho AC, Mola-Yudego B, González-Olabarria JR, Scolforo JRS. Thinning regimes and initial spacing for Eucalyptus plantations in Brazil. Anais da Academia Brasileira de Ciências 2018; 90 (1): 255-265.
- Fiorentin LD, Arce JE, Pelissari AL, Miranda ROV de, Freitas TW de. Optimized planning of assortment production in forest stands. Floresta 2019; 49 (4): 735-744.
- Gebara MF, Agrawal A. Beyond rewards and punishments in the Brazilian Amazon: practical implications of the REDD+ discourse. Forests 2017; 8 (3): 1-27.
- Gil J, Siebold M, Berger T. Adoption and development of integrated crop-livestock-forestry systems in Mato Grosso, Brazil. Agriculture, Ecosystems and Environment 2015; 199: 394-406.
- Gonçalves RTCF, Souza FC de, Gonçalves R de JF, Gomes NSB, Cruz CGS da, Sales ETM. Damages caused by cattle in eucalyptus clones in silvipastoril system in the amazon region. Ciência Florestal 2022; 32 (2): 714-734.
- Grigoreva O, Runova E, Savchenkova V, Hertz E, Voronova A, Ivanov V. Comparative analysis of thinning techniques in pine forests. Journal of Forestry Research 2022; 33 (4): 1145-1156.
- Hammarstrom DG, Bianchi V. Integration of tree crops and pastures: literature review. African Journal of Agricultural Research 2019; 14 (26): 1091-1096.
- IBÁ - Indústria Brasileira de Árvores. IBÁ 2024: relatório anual. Brasília: IBÁ; 2024.
- IBÁ - Indústria Brasileira de Árvores. Relatório 2019. Brasília: IBÁ ; 2019.
- ITTO - International Tropical Timber Organization. GTI REPORT 2025. Yokohama: ITTO; 2025.
- Kärenlampi PP. Empirical observations of the yield of logs from trees of the boreal region. Baltic Forestry 2022; 28 (1): 556.
- Laly FG, Atindogbe G, Sohou GMA, Akpo HA, Fonton NH. Enhancing stem volume estimation for savanna species using variable-exponent taper equation and close-range photogrammetry. Forest Ecosystems 2025; 13: 100331.
- Leite FFGD, Nóbrega GN, Baumgärtner LC, Alecrim FB, Silveira JG da, Cordeiro RC, et al. Greenhouse gas emissions and carbon sequestration associated with Integrated Crop-Livestock-Forestry (ICLF) systems. Environmental Reviews. 2023; 31 (4): 589-604.
- Li D, Guo H, Jia W, Wang F. Analysis of taper functions for larix olgensis using mixed models and TLS. Forests 2021; 12 (2): 1-17.
- López-Hortas L, Rodríguez-González I, Díaz-Reinoso B, Torres MD, Moure A, Domínguez H. Tools for a multiproduct biorefinery of Acacia dealbata biomass. Industrial Crops & Products 2021; 169: 113655.
- López-López SF, Martínez-Trinidad T, Benavides-Meza H, Garcia-Nieto M, Santos-Posadas HM de los. Non-destructive method for above-ground biomass estimation of Fraxinus uhdei (Wenz.) Lingelsh in an urban forest. Urban Forestry & Urban Greening 2017; 24: 62-70.
- Marchi E, Chung W, Visser R, Abbas D, Nordfjell T, Mederski PS, et al. Sustainable Forest Operations (SFO): A new paradigm in a changing world and climate. Science of the Total Environment 2018; 634: 1385-1397.
- Martins APM, Debastiani AB, Pelissari AL, Machado S do A, Sanquetta CR. Estimativa do afilamento do fuste de araucária utilizando técnicas de inteligência artificial. Floresta e Ambiente 2017; 24 (e20160234).
- Marziliano PA, Coletta V, Menguzzato G, Nicolaci A, Pellicone G, Veltri A. Effects of planting density on the distribution of biomass in a douglas-fir plantation in Southern Italy. IForest 2015; 8 (1): 368-376.
- Mascarenhas ARP, Sccoti MSV, Melo RR de, Corrêa FL de O, Souza EFM de, Pimenta AS. Characterization of wood from Schizolobium parahyba var. amazonicum Huber x Ducke trees from a multi-stratified agroforestry system established in the Amazon rainforest. Agroforest Systems 2021; 95: 475-486.
- Matos AMS, Bonini C dos SB, Moreira BR de A, Andreotti M, Heinrichs R, Silva DT da, et al. Long-term integrated crop-livestock-forestry systems recover the structural quality of ultisol soil. Agronomy 2022; 12: (2961).
- Mctague JP, Weiskittel A. Evolution, history, and use ofstem taper equations: a review of their development, application, and implementation. Canadian Journal of Forest Research 2021; 51: 210-235.
- Melo LE de L, Silva C de J, Protásio T de P, Mota G da S, Santos IS, Urbinati CV, et al. Planting density effect on some properties of Schizolobium parahyba wood. Maderas, Ciencia y Tecnología 2018; 20 (3): 381-394.
- Menezes L da S, Figueiredo JBL, Costa LS da, Castro RVO, Junior CAA. Taper modeling and economic evaluation of multi-products obtained from wood of short-rotation Eucalyptus stands. Floresta 2020; 50 (3): 1439-1448.
- Minini D, Reis CA, Maria D de MB, Chagas KPT das, Lins TR da S, Cademartori PHG de, et al. A review on the quality of wood from agroforestry systems. Agroforest Systems 2024; 98: 715-737.
- Miranda EN, Lopes IL e, Araújo LA, Dias TDSP, Lacerda THS, Gomide LR. Efeito de variáveis de copa em funções de afilamento. Advances in Forestry Science 2020; 7 (2): 1057-1066.
- Nascimento RGM, Vanclay JK, Figueiredo Filho A, Machado S do A, Ruschel AR, Hiramatsu NA, et al. The tree height estimated by non-power models on volumetric models provides reliable predictions of wood volume: the Amazon species height modelling issue. Trees, Forests and People 2020; 2 (e100028).
- Nascimento RLX, Souza CC de, Grassi G, Oliveira MA das N de. Caderno de caracterização do estado do Pará. Brasília: Codevasf; 2022.
- Ndjadi SS, Matendo AF, Mwinja AC, Mondo JM, Civava RM, Mushagalusa GN. Integrated crop-livestock-aquaculture farming systems: synergistic approaches for balancing agriculture’s biophysical requirements and environmental supply: a systematic review. African Journal of Rural Development 2021; 6 (3): 167-190.
- Nicoletti MF, Carvalho S de P e C, Machado S do A, Figueiredo Filho A, Oliveira GS. Partial volume prediction through nonlinear mixed modeling. Floresta e Ambiente 2019; 26 (4): e20170329.
- Okello BD, O’Connor TG, Young TP. Growth, biomass estimates, and charcoal production of Acacia drepanolobium in Laikipia, Kenya. Forest Ecology and Management 2001; 142: 143-153.
- Oliveira DMS, Santos RS, Chizzotti FHM, Bretas IL, Franco ALC, Lima RP, et al. Crop, livestock, and forestry integration to reconcile soil health, food production, and climate change mitigation in the Brazilian Cerrado: a review. Geoderma Regional 2024; 37 (e00796).
- Onilude Q, Fajemila A, Adeleye I, Oduola M, Osijo A, Oso A. Stem taper and tree growth characteristics for Triplochitonscleroxylon (K. schum) stands in Ibadan Metropolis, Nigeria. International Journal of BioSciences, Agriculture and Technology 2017; 8 (4): 28-35.
- Pelissari AL, Roveda M, Caldeira SF, Sanquetta CR, Corte APD, Rodrigues CK. Geostatistical modeling of timber volume spatial variability for Tectona grandis l. f. precision forestry. Cerne 2017; 23 (1): 115-122.
- Pinheiro JC, Bates DM. Mixed-effects models in S and S-PLUS. New York: Springer; 2000.
- Pukkala T, Hanssen KH, Andreassen K. Stem taper and bark functions for Norway spruce in Norway. Silva Fennica 2019; 53 (3):1-15.
- R Core Team. R: A language and environment for statistical computing, version 4.0.5., 2023 [cited 2024 abr. 6]. Available from: Available from: https://cran.r-project.org/
» https://cran.r-project.org/ - Raj D. Sampling theory. 1 st. Oxford: OUP Oxford; 1968.
- Rocha KJ da, Finger CAG, Favalessa CMC, Caldeira SF, Fleig FD. Form and volume of the stem of Tectona grandis L.f. in the central-western region of Brazil. Forests 2022; 13 (1818).
- Rodrigues R de AR, Ferreira IGM, Silveira JG da, Silva JJN da, Santos FM, Conceição MC da. Crop-livestock-forest integration systems as a sustainable production strategy in Brazil. In: Søndergaard N, Sá CD de, Barros-Platiau AF, editors. Sustainability Challenges of Brazilian Agriculture, Berlin: Springer, Cham; 2023.
- Salekin S, Catalán CH, Boczniewicz D, Phiri D, Morgenroth J, Meason DF, et al. Global tree taper modelling: A review of applications, methods, functions, and their parameters. Forests 2021; 12 (913).
- Sales A, Oliveira Neto N de, Paiva HN de, Leite HG, Siviero MA, Vieira SB. Growth and Yield of Schizolobium parahyba var. amazonicum according to soil management in agroforestry systems: a case study in the Brazilian Amazon. Diversity 2021; 13 (511).
- Sanquetta CR, Piva LRO, Wojciechowski J, Corte APD, Schikowski AB. Volume estimation of Cryptomeria japonica logs in southern Brazil using artificial intelligence models. Southern Forests 2018; 80 (1): 29-36.
- Santos HG dos, Jacomine PKT, Anjos LHC dos, Oliveira VÁ de, Lumbreras JF, Coelho MR, et al. Sistema brasileiro de classificação de solos. 5nd ed. Brasília: EMBRAPA ; 2018.
- Sarkar D, Andrews F. latticeExtra: provides several new high-level functions and methods, as well as additional utilities such as panel and axis annotation functions. Version: 06-30, 2020 [cited 2024 abr. 6]. Available from: Available from: http://latticeextra.r-forge.r-project.org/
» http://latticeextra.r-forge.r-project.org/ - Sarto MVM, Borges WLB, Sarto JRW, Rice CW, Rosolem CA. Root and shoot interactions in a tropical integrated crop-livestock-forest system. Agricultural Systems 2020; 181 (102796).
- Saud P, Chapagain TR, Bhandari SK, Moser WK. Taper functions to predict the upper stem diameter of Chir pine (Pinus roxburghii) in the mid-hills of Nepal. Trees, Forests and People 2024; 17 (100627).
- Schwartz G, Pereira PCG, Siviero MA, Pereira JF, Ruschel AR, Yared JAG. Enrichment planting in logging gaps with Schizolobium parahyba var. amazonicum (Huber ex Ducke) Barneby: A financially profitable alternative for degraded tropical forests in the Amazon. Forest Ecology and Management 2017; 390: 166-172.
- Scolforo HF, McTague JP, Raimundo MR, Weiskittel A, Carrero O, Scolforo JRS. Comparison of taper functions applied to eucalypts of varying genetics in Brazil: application and evaluation of the penalized mixed spline approach. Canadian Journal of Forest Research 2018 48 (5): 568-580.
- Silva CBR da, Santos Junior JA dos, Araújo AJC, Sales A, Siviero MA, Andrade FWC, et al. Properties of juvenile wood of Schizolobium parahyba var amazonicum (paricá) under different cropping systems. Agroforestry Systems 2020; 94: 583-595.
- Simões PHO, Abreu LJFL, Palheta LF, Oliveira Neto CF, Okumura RS, Acosta FC. Volumetric models and form factors for estimating wood stock in sustainable forest management: a study based on commercial species from Southern Amazonia. Trees, Forests and People 2025; 20 (100846).
- Souza GSA de, Cosenza DN, Araújo AC da SC, Pimenta LVA, Souza RB, Almeida FM, et al. Evaluation of non-linear taper equations for predicting the diameter of Eucalyptus trees. Revista Árvore 2018; 42 (1): 1-10.
- Stefanello FR, Netto SP, Behling A, Pelissari AL, Orso GA. Preußner functions for volume estimation of pinus taeda L. in Southern Brazil. New Zealand Journal of Forestry Science 2021; 51 (4): 1-25.
- Téo SJ, Machado S do A, Figueiredo Filho A, Tomé M. Stem taper equation with extensive applicability to several age classes of Pinus taeda L. Floresta 2018; 48 (4): 471-482.
- Tullus T, Lutter R, Randlane T, Saag A, Tullus A, Rähn E, et al. Do silver birch (Betula pendula) and hybrid aspen (Populus tremula × P. tremuloides) plantations on former agricultural land differ from the perspective of biodiversity? New Forests 2025; 56 (2): 1-26.
- Tun TN, Guo J, Fang S, Tian Y. Planting spacing affects canopy structure, biomass production and stem roundness in poplar plantations. Scandinavian Journal of Forest Research 2018; 33 (5): 464-474.
- Ucella-Filho JGM, Dias Júnior AF, Souza EC de, Silva JGM da, Sant’anna Neto A, Silva APC da, et al. Clues about wood density and trace-element variability of Schizolobium parahyba var. amazonicum (Huber ex Ducke) Barneby for bioenergy use. Environmental Science and Pollution Research 2023; 30 (19): 56161-56173.
- Viana L de A, Castro RVO, Souza ÁN de, Soares CPB, Joaquim MS, Costa LS da. Optimization and economic analysis of multiproducts obtained from wood of Eucalyptus stands under different productive capacity classes and rotation ages. Floresta 2021; 51 (2): 293-302.
- Węgiel A, Bembenek M, Łacka A, Mederski PS. Relationship between stand density and value of timber assortments: a case study for Scots pine stands in north-western Poland. New Zealand Journal of Forestry Science 2018; 48 (12).
- West PW, Smith RGB. Effects of tree spacing on branch-size development during early growth of an experimental plantation of Eucalyptus pilularis in subtropical Australia. Australian Forestry 2020; 83 (1): 39-45.
- Wilms F, Berendt F, Bronisz K, Bashutska U, Fotelli M, Radoglou K, et al. Applying taper function models for black locust plantations in Greek post-mining areas. Scientific Reports 2024; 14 (1): 1-18.
- Zahabu E, Raphael T, Chamshama SAO, Iddi S, Malimbwi RE. Effect of spacing regimes on growth, yield, and wood properties of Tectona grandis at Longuza forest plantation, Tanzania. International Journal of Forestry Research 2015; (469760): 1-6.
- Zhang S, Sun J, Duan A, Zhang J. Variable-exponent taper equation based on multilevel nonlinear mixed effect for Chinese fir in China. Forests 2021; 12 (2): 1-13.
- Zhang Y, Tian Y, Ding S, Lv Y, Samjhana W, Fang S. Growth, carbon storage, and optimal rotation in poplar plantations: A case study on clone and planting spacing effects. Forests 2020; 11 (8): 1-15.
Submitted date:
08/14/2025
Accepted date:
12/29/2025
