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Allometric models for non-destructive estimation of the leaflet area in acai (Euterpe oleracea Mart.)

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The leaflet area of acai (Euterpe oleracea) can be estimated by an exponential regression model adjusted by the relationship of leaflet maximum length and width.

Abstract

This work was carried out aiming to fit linear regression models for the non-invasive estimation of leaflet area (LA) in acai (Euterpe oleracea Mart.). Thus, 5010 leaflets were sampled from 403 fronds sampled on 100 acai seedlings. Maximum length (LL) and width (LW) of each leaflet were measured with a ruler and LA was determined using a leaf area meter. Half of the data set was used to adjust the models and the other half was used for model validation. The Jackknife re-sampling method was applied to reduce model bias. Two double-entry models (models A and B) were fitted using LL and LW simultaneously, while these linear dimensions of the leaves were separately considered in single-entry models (models C to F). The adjusted coefficients of determination varied between 0.9075 and 0.9785, with the highest values observed in models A and B, which also showed the lowest standard error of the estimate and Akaike's information criterion (AIC) score. All models were highly accurate in estimating LA, with values above 0.9156; however, the double-entry models A and B showed the best performance regarding the relationship between estimated and observed LA. Comparing the double-entry models, the lowest AIC score in model B indicates that this model is the most parsimonious for non-invasive estimation of acai leaflet area in relation to model A. Therefore, the equation \({\text{LA}} = 1.0147 \left[{{\text{e}}}^{0.3685 + 0.8165 {\text{ln}}\left({\text{LL}} \times {\text{LW}}\right)}\right]\), deduced from model B, is the more precise model for the non-invasive determination of leaflet area in acai seedlings.

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Acknowledgements

Scholarship to SKAdS and FHSR were respectively granted by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq, Brazil) and by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES, Brazil). Research scholarship to LCC was granted by Fundação Amazônia Paraense de Amparo à Pesquisa (FAPESPA, Brazil).

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Authors and Affiliations

  1. Instituto Socioambiental e dos Recursos Hídricos, Universidade Federal Rural da Amazônia, Belém, Pará, 66077-530, Brazil

    Samara K. A. de Sousa, Flavio Henrique S. Rodrigues, Lucas C. da Costa & Hugo A. Pinheiro

  2. Instituto de Ciências Agrárias, Universidade Federal Rural da Amazônia, Belém, Pará, 66077-530, Brazil

    Rodrigo G. M. Nascimento & Rafael G. Viana

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  1. Samara K. A. de Sousa
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  3. Flavio Henrique S. Rodrigues
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  5. Lucas C. da Costa
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  6. Hugo A. Pinheiro
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Contributions

SKAS, FHSR, RGV cultivated the plants and obtained the data set to fit the models; SKAS, RGMN adjusted and validated the regression models; LCC revised the final draft of the manuscript, particularly improving the English usage; HAP acted in advising students (SKAS and FHSR) and coordinated all project activities. All authors collaborated to some extent with the writing of the manuscript.

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Correspondence to Hugo A. Pinheiro.

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de Sousa, S.K.A., Nascimento, R.G.M., Rodrigues, F.H.S. et al. Allometric models for non-destructive estimation of the leaflet area in acai (Euterpe oleracea Mart.). Trees 38, 169–178 (2024). https://doi.org/10.1007/s00468-023-02474-6

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