Mathematical Modeling to Estimate the Leaf Area of Dalbergia frutescens from Linear Dimensions

Authors

  • Barbara Colombo Ramos UFES
  • Fabricio Lopes dos Santos UFES
  • Lidiane Rodrigues Lima UFES
  • Marta Gabriela Rossiter UFES
  • Nayane dos Santos Bernardo UFES
  • Vinicius de Souza Oliveira UFES
  • Ana Paula Braido Pinheiro UFES
  • Omar Schmildt UFES
  • Adriano Alves Fernandes UFES
  • Edilson Romais Schmildt http://orcid.org/0000-0002-3457-7997

DOI:

https://doi.org/10.55747/bjedis.v2i2.52685

Keywords:

Non-destructive method, adjustment of equations, validation, statistical analysis, linear measurements, modeling.

Abstract

The objective of this work was to obtain mathematical equations and indicate the most appropriate estimation of the leaf area of Dalbergia frutescens, by a non-destructive method through the linear dimensions of the leaves. A total of 370 leaves of D. frutescens were collected, 270 of which were used to adjust the equations and 100 for validation. The length (L) along the main vein, the maximum width (W), the product of multiplying the length and width (LW), and the observed leaf area (OLA) was measured for all leaves. First degree, quadratic, and power linear equation models were fitted, where OLA was the dependent variable as a function of L, W and LW. From the 100 leaves destined for validation, and using the adjusted equations for each mathematical model, the estimated leaf area (ELA) was obtained. The means obtained from ELA and OLA were compared using Student's t test at 5% probability. The mean absolute error, the root mean square error, and the d Willmott index were also determined. The first-degree linear model represented  based on the product of multiplying the length by the width is the most suitable to determine the leaf area of D. frutescens with high precision.

Author Biographies

Barbara Colombo Ramos, UFES

CEUNES

Fabricio Lopes dos Santos, UFES

CEUNES

Lidiane Rodrigues Lima, UFES

CEUNES

Marta Gabriela Rossiter, UFES

CEUNES

Nayane dos Santos Bernardo, UFES

CEUNES

Vinicius de Souza Oliveira, UFES

Center for Agricultural Sciences and Engineering, Alegre, Espírito Santo, Brazil.

Ana Paula Braido Pinheiro, UFES

CEUNES

Omar Schmildt, UFES

CEUNES

Adriano Alves Fernandes, UFES

CEUNES

Edilson Romais Schmildt

Departamento de Ciências Agrárias e Biológicas (DCAB)

Centro Universitário Norte do Espírito santo (CEUNES)

Universidade Federal do Espírito Santo (UFES)

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Published

2022-11-23

Issue

Vol. 2 No. 2 (2022): Special Issue

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Articles

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We at this moment declare that the present paper is our original work and has not been previously considered, either in whole or in part, for publication elsewhere. Besides, we warrant the authors will not submit this paper for publication in any other journal. We also guarantee that this article is free of plagiarism and that any accusation of plagiarism will be the authors' sole responsibility. The undersigned transfer all copyrights to the present paper (including without limitation the right to publish the work in any and all forms) to BJEDIS, understanding that neglecting this agreement will submit the violator to undertake the legal actions provided in the Law on Copyright and Neighboring Rights (No. 9610 of February 19, 1998). Also, we, the authors, declare no conflict of interest. Finally, all funders were cited in the acknowledgments section.