Common Allometric Aboveground Biomass Models for Two Atlantic Forest Tree Ferns
Laio Zimermann Oliveira, Alexander Christian Vibrans
Abstract
Available species-specific allometric aboveground biomass (AGB) models for tree ferns occurring in the Atlantic forest are based on small calibration datasets, potentially leading to increased uncertainty in model parameter estimates. This study constructed common AGB models for Cyathea delgadii Sternb. and Dicksonia sellowiana Hook. using data from 75 individuals destructively sampled in the subtropical Atlantic forest. Three power-law models linking AGB to a single compound variable were calibrated. Incorporating a species effect into the scaling parameter through a dummy variable substantially improved prediction accuracy. Nonetheless, incorporating a species effect into the allometric - exponent resulted in weak parameter identifiability, suggesting that the two species can share a common allometric exponent. The selected AGB model achieved prediction accuracy comparable to available species-specific models, albeit with smaller uncertainty in model parameter estimates. Pooling data from species with similar allometric relationships was shown to be an efficient strategy for improving AGB models.
Keywords
References
- CHAVE, J; RÉJOU-MÉCHAIN, M; BÚRQUEZ, A; CHIDUMAYO, E; COLGAN, MS; DELITTI, WBC et al. Improved allometric models to estimate the aboveground biomass of tropical trees. Global Change Biology 2014; 20:3177-3190.
- DAVIDSON, R; MACKINNON, JG. Econometric theory and methods. New York: Oxford University Press; 2004.
- DUTCĂ, I; MCROBERTS, RE; NÆSSET, E; BLUJDEA, VN. A practical measure for determining if diameter (D) and height (H) should be combined into D²H in allometric biomass models. Forestry: An International Journal of Forest Research 2019; 92:627-634.
- FAYOLLE, A; NGOMANDA, A; MBASI, M; BARBIER, N; BOCKO, Y; BOYEMBA, F et al. A regional allometry for the Congo basin forests based on the largest ever destructive sampling. Forest Ecology and Management 2018; 430:228-240.
- FU, Y; LEI, Y; ZENG, W; HAO, R; ZHANG, G; ZHONG, Q; XU, M. Uncertainty assessment in aboveground biomass estimation at the regional scale using a new method considering both sampling error and model error. Canadian Journal of Forest Research 2017; 47:1095-1103.
- GAUI, TD; CYSNEIROS, VC; SOUZA, FC; SOUZA, HJ; SILVEIRA FILHO, TB; CARVALHO, DC et al. Biomass equations and carbon stock estimates for the southeastern Brazilian Atlantic forest. Forests 2024; 15:1568.
- HUY, B; POUDEL, KP; TEMESGEN, H. Aboveground biomass equation for evergreen broadleaf forests in South Central Coastal ecoregion of Vietnam: selection of eco-regional or pantropical models. Forest Ecology and Management 2016; 376:276-283.
- MAÇANEIRO, JP; LIEBSCH, D; GASPER, AL; GALVÃO, F; SCHORN, LA. Structural and floristic variations in an Atlantic Subtropical Rainforest in Southern Brazil. Floresta e Ambiente 2019; 26:e2016010.
- MCROBERTS, RE; MOSER, P; OLIVEIRA, LZ; VIBRANS, AC. A general method for assessing the effects of uncertainty in individual-tree volume model predictions on large-area volume estimates with a subtropical forest illustration. Canadian Journal of Forest Research 2015; 45:44-51.
- NOBEN, S; KESSLER, M; WEIGAND, A; TEJEDOR, A; DUQUE, WDR; GALLEGO, LFG; LEHNERT, M. A taxonomic and biogeographic reappraisal of the genus Dicksonia (Dicksoniaceae) in the Neotropics. Systematic Botany 2018; 43:839-857.
- OLIVEIRA, GL; STEPKA, TF; NICOLETTI, MF; FREDERICO, MR. Caracterização e modelagem biométrica de Dicksonia sellowiana Hook. em Floresta Ombrófila Mista alto-montana. Scientia Forestalis 2024b; 52:e3990.
- OLIVEIRA, LZ; MCROBERTS, RE; VIBRANS, AC; LIESENBERG, V; ULLER, HF. Comparing effects of uncertainty in predictions of local and pantropical allometric models on large-area estimates for mean aboveground biomass per unit area. Forestry: An International Journal of Forest Research 2025; 98:661-675.
- OLIVEIRA, LZ; VIBRANS, AC; NICOLETTI, NA; LERNER, J. Allometric mixed-effects models for Dicksonia sellowiana Hook. and its contribution to biomass stocks of Araucaria forests in southern Brazil. Anais da Academia Brasileira de Ciências 2024a; 96(supl. 3):e20230176.
- PINHEIRO, J; BATES, D; R CORE TEAM (2023), . nlme: Linear and Nonlinear Mixed Effects Models. R package version 3.1-164. 2023 2 mar. 2026. https://CRAN.R-project.org/package=nlme
» https://CRAN.R-project.org/package=nlme - TIEPOLO, G; CALMON, M; FERETTI, AR. Measuring and monitoring carbon stocks at the Guaraquecaba Climate Action Project, Paraná, Brasil. Proceedings of the International Symposium on Forest Carbon Sequestration and Monitoring . Extension Series 2002; 98-115.
- ULLER, HF; OLIVEIRA, LZ; KLITZKE, AR; FREITAS, JV; VIBRANS, AC. Biomass models for three species with different growth forms and geographic distribution in the Brazilian Atlantic Forest. Canadian Journal of Forest Research 2021; 51:1-13.
- ZIEMMER, JK; BEHLING, A; DALLA CORTE, AP. Quantificação da biomassa e dos teores de carbono de pteridófitas arborescentes em Floresta Ombrófila Mista. BIOFIX Scientific Journal 2016; 1:60-73.
Submitted date:
03/27/2026
Accepted date:
06/16/2026
