Mathematical Modeling for Leaf Area Estimation From Papaya Seedlings ‘Golden THB’

Oliveira, Vinícius de Souza; Santos, Karina Tonini dos; Ambrosio, Thainá de Jesus; Santos, Jéssica Sayuri Hassuda; Santana, Weslley do Rosário; Malikouski, Renan Garcia; Nascimento, A. do; Santos, Gleyce Pereira; Schmildt, Omar; Schmildt, Edílson Romais

doi:10.5539/jas.v11n5p496

Cited by 3 publications

(2 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Among the indirect methods, the getting of mathematical equation models based on linear leaf dimensions has been reported in several studies (Peksen, 2007;Rouphael, Colla, Fanasca, & Karam, 2007;Antunes, Pompelli, Carretero, & Damatta, 2008;Toebe, Brum, Lopes, Cargnelutti Filho, & Silveira, 2010;ompelli et al, 2012;Toebe et al, 2012, Buttaro, Rouphael, Rivera, Colla, & Gonnella, 2015Santos et al, 2016;Schmildt, Oliari, Schmildt, Alexandre, & Pires, 2016;Vitória et al, 2018;Ribeiro et al, 2019;Oliveira et al, 2019), demonstrating that this technique is an important tool for evaluating the leaf area of several species.…”

Section: Introductionmentioning

confidence: 99%

Determination of the Leaflet Area of Schinus terebinthifolius Raddi in Function of Linear Dimensions

Oliveira¹,

Covre²,

Gouvea³

et al. 2019

JAS

Self Cite

View full text Add to dashboard Cite

The objective of this study was to select mathematical equations that best fit the estimation of the leaf area of pink pepper (Schinus terebinthifolius Raddi) from the linear leaflet dimensions. 500 leaflets with different physiological ages of a commercial plantation were collected, located in the region of Gameleira, municipality of São Mateus, North of the State of Espírito Santo, Brazil. Was measured the length (L) along the main midrib, the largest width (W) and the observed leaf area (OLA) of each sheet. The product of the multiplication between L and W of the leaflets (LW) was determined. For the modeling the measurements of 400 leaflets were used, where OLA was used in function of L, W or LW. Based on the models found, we obtained the estimated leaf area (ELA). A simple linear regression was fitted for each proposed model of OLA in function of ELA. We tested the hypotheses H0: β0 = 0 versus Ha: β0 ≠ 0 and H0: β1 = 1 versus Ha: β1 ≠ 1, using Student’s t test at 5% probability. The mean values of ELA and OLA were compared by Student’s t test 5% probability. It was determined the mean error (E), mean absolute error (MAE), root mean square error (RMSE) and Willmott d index. The best adjusted equation was chosen by linear coefficient (β0) not different from zero, angular coefficient (β1) not unlike one, non-significant values of ELA and OLA, E, EAM and RQME closer to zero and Willmott’s index d closer to one. In this way, the leaf area of leaflets of Schinus terebinthifolius Raddi can be estimated by the quadratic model equation ELA = -2.6646 + 2.2124W + 1.3953(W)2 , using only the width of the leaves as a measure.

show abstract

Section: Introductionmentioning

confidence: 99%

Determination of the Leaflet Area of Schinus terebinthifolius Raddi in Function of Linear Dimensions

Oliveira¹,

Covre²,

Gouvea³

et al. 2019

JAS

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this way, are notorious the great number of works involving mathematical equations as non-destructive method to estimate the leaf area in a wide range of vegetal species as Cucumis sativus L. (Cho, S. Oh, M. M. Oh, & Son, 2007), Helianthus annuus L. (Rouphael, Colla, Fanasca, & Karam, 2007), Jatropha curcas (Pompelli et al, 2012), Vitis vinífera L. (Buttaro, Rouphael, Rivera, Colla, & Gonnella, 2015), Coffea canephora (Schmildt, Amaral, Santos, & Schmildt, 2015), Rosa hybrida L. (Costa, Pôças, & Cunha, 2016), Crotalaria juncea (Carvalho et al, 2017), Prunus armeniaca L. (Cirillo et al, 2017), Litchi chinensis Sonn (Oliveira, Silva, Costa, Schmildt, & Vitória, 2017), guava (Vitória et al, 2018), Carica papaya L. (Oliveira et al, 2019) and Plectranthus barbatus Andrews (Ribeiro et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Estimation Leaf Area by Composite Leaves of Canavalia rosea Seedlings Through Linear Dimensions From Last Leaflet

Pinheiro¹,

Oliveira²,

Santos³

et al. 2019

JAS

Self Cite

View full text Add to dashboard Cite

The objective of this work was to propose models of equations from measurements of the linear dimensions of the last leaflet for the estimation of the leaf area of the composite leaves of Canavalia rosea. For this purpose, 441 composite leaves of 198 seedlings were used, 45 days after sowing, produced in nursery and belonging to the Federal University of Espírito Santo, Campus São Mateus, located in the municipality of São Mateus, North of the State of Espírito Santo, Brazil. The length (L) along the main midrib and the maximum leaf width (W) of the last leaflet of each composite leaf, as well as the leaf area of all leaflets, were measured. Subsequently, it was determined the product of the multiplication of the length with the width (LW) and leaf area observed (OLA) from the sum of leaf area of leaflets in front of these measures were adjusted linear and non-linear equations of linear first degree, quadratic and power models, where, OLA was used as a dependent variable in function of L, W and LW as independent variable. Based on the models tested, we obtained equations for the estimated leaf area (ELA). The mean values of ELA and OLA were compared by Student's t test 5% probability. The mean absolute error (MAE), the root mean square error (RMSE) and the Willmott d index, were determined as criteria for validation. The best adjusted equation was chosen through the non-significant values in the comparison of the means of ELA and OLA, values of MAE and RMSE closer to zero, value of the index d near the unitary and higher values of R2. Thus, the leaf area of the composite leaf of C. rosea seedlings can be estimated by the power model represented by equation ELA = 2.2951 (LW)0.9474 quickly, easily and non-destructively.

show abstract

Discriminant analysis for estimating meristematic differentiation point based on morphometric indicators in banana (Musa AAA)

Acosta

Salinas²,

Darghan³

2022

Agron. Colomb.

View full text Add to dashboard Cite

In the banana crop, leaf area is a fundamental trait for production; however, monitoring this variable during a cycle is difficult due to the structural characteristics of the plant, and a method for its determination is necessary. Therefore, the objective of this research was to propose a model for estimating total leaf area by measuring the cross-sectional area of the pseudostem to identify when meristematic differentiation occurs. In plants between F10 and flowering, functional leaves were measured for length, width, and dry mass. Cross-sectional area was calculated every 10 cm from the base to 70 cm, at ⅓, ½ of the plant height and up to the last pair of leaves. From the principal components, the cross-sectional measurement at 50 cm was selected, obtaining a nonlinear model for indirect estimation of leaf area. Subsequently, Fisher’s linear discriminant analysis was used with the parameters associated with the number of leaves emitted and the estimated leaf area to obtain the cutoff point as the centroid of the extracted components. As an indicator for the approximate identification of the moment of meristem differentiation, the emission of leaf 12 was generated, which determines the phenological stage (vegetative-reproductive) of the plant. The results describe tools to follow up the growth in the productive units to facilitate crop monitoring, allowing the generation of differential production approaches.

show abstract

Mathematical Modeling for Leaf Area Estimation From Papaya Seedlings ‘Golden THB’

Cited by 3 publications

References 18 publications

Determination of the Leaflet Area of Schinus terebinthifolius Raddi in Function of Linear Dimensions

Determination of the Leaflet Area of Schinus terebinthifolius Raddi in Function of Linear Dimensions

Estimation Leaf Area by Composite Leaves of Canavalia rosea Seedlings Through Linear Dimensions From Last Leaflet

Discriminant analysis for estimating meristematic differentiation point based on morphometric indicators in banana (Musa AAA)

Contact Info

Product

Resources

About