Nonlinear Models for Description of Cacao Fruit Growth With Assumption Violations

Muniz, Joel Augusto; Nascimento, Micherlania da Silva; Fernandes, Tales Jesus

doi:10.1590/1983-21252017v30n128rc

Cited by 35 publications

(49 citation statements)

References 20 publications

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“…Similar findings were reported by PRADO et al, (2013); MUNIZ et al, (2017);MUIANGA et al, (2016) andSOUSA et al (2014). They recorded autocorrelated errors in the adjustment of the nonlinear regression models to the growth data of the green dwarf coconut, cacao and cashew fruits and coffee seed germination, respectively.…”

Section: Resultssupporting

confidence: 84%

“…Similar findings were reported by MUNIZ et al (2017), MUIANGA et al (2016) and CASSIANO & SÁFADI (2015) in their studies on growth, in which the residual dependence was modeled by autoregressive order AR P . In the current study, the logistic model offered the best results corroborating the findings of PRADO et al, (2013), who also reported a better fit by this model in their studies on the green dwarf cocus fruit diameter.…”

Section: Resultssupporting

confidence: 82%

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The use of the nonlinear models in the growth of pears of ‘Shinseiki’ cultivar

et al. 2017

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The goal of this study was to elucidate the growth and development of the Asian pear fruit, on the grounds of length, diameter and fresh weight determined over time, using the non-linear Gompertz and Logistic models. The specifications of the models were assessed utilizing the R statistical software, via the least squares method and iterative Gauss-Newton process (DRAPER & SMITH, 2014). The residual standard deviation, adjusted coefficient of determination and the Akaike information criterion were used to compare the models. The residual correlations, observed in the data for length and diameter, were modeled using the second-order regression process to render the residuals independent. The logistic model was highly suitable in demonstrating the data, revealing the Asian pear fruit growth to be sigmoid in shape, showing remarkable development for three variables. It showed an average of up to 125 days for length and diameter and 140 days for fresh fruit weight, with values of 72mm length, 80mm diameter and 224g heavy fat.

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Section: Resultssupporting

confidence: 84%

Section: Resultssupporting

confidence: 82%

The use of the nonlinear models in the growth of pears of ‘Shinseiki’ cultivar

et al. 2017

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“…Therefore, the Gompertz and Logistic models are suitable for adjusting the productive traits of sunn hemp. In study on nonlinear models for description of cacao fruit growth with assumption violations, Muniz et al (2017), verified the importance of performing the residual analysis.…”

Section: Resultsmentioning

confidence: 90%

“…models in the description of cocoa fruit growth (Muniz, Nascimento, & Fernandes, 2017). Therefore, studies on growth models for productive character of sunn hemp are important to know the behavior of the culture, but no work has been found in the literature.…”

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Gompertz and Logistic Models to the Productive Traits of Sunn Hemp

de¹,

Filho²,

Chaves³

et al. 2017

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Studies on growth models for productive character of sunn hemp are important to know the behavior of the culture. Therefore, the objective of this research was to adjust non-linear models, Gompertz and Logistic, in the description of productive traits of sunn hemp in two sowing periods. Two uniformity trials were performed. The evaluations began on October the 29 th 2014 and December the 16 th 2014, totaling 94 and 76 evaluation days for periods 1 and 2, respectively. After the emergence of the seeds of sunn hemp, for first period from 7 days after sowing, and from 2 to 13 days after sowing, on each day, they were collected randomly four plants. The traits: fresh matter leaf, stem, root, shoot, and total, and dry matter leaf, stem, root, shoot, and total. For both models the confidence interval was calculated of parameters a, b and c. The adjustment quality of the Gompertz and Logistic models was verified by the determination coefficient, the Akaike information criteria, residual standard deviation, mean absolute deviation, mean absolute percentage error and mean prediction error. The Gompertz model when compared between the sowing periods through the confidence interval of the parameters, for the productive traits, differs. The same result was found for the Logistic model. The growth models of Gompertz and Logistic presented good adjustment quality.

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“…In the fruit growth evaluation, several studies have used nonlinear regression models, which are more appropriate than linear ones, since they summarize data information in a few parameters with practical interpretation (BALAGUERA-LÓPEZ et al, 2012;MARO et al, 2012;PRADO et al, 2013a;FERNANDES et al, 2014). Nonlinear models have been used in studies in crops with satisfactory results, allowing estimations of fruit growth parameters with biological interpretation with pygmy date palm (TERRA et al, 2010), green dwarf coconut (PRADO et al, 2013b), cashew (MUIANGA et al, 2016 and cacao fruit (MUNIZ et al, 2017). For coffee crop, models were used in the description of the seed germination curve (SOUSA et al, 2014), in a plant height growth study and canopy diameter (WYZYKOWSKI et al al., 2015).…”

Section: Introductionmentioning

confidence: 99%

Description of the growth of pequi fruits by nonlinear models

et al. 2018

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Descrição do crescimento de frutos de pequizeiro por modelos não linearesResumo -O pequizeiro é uma espécie nativa do cerrado brasileiro, com ampla distribuição geográfica, cujo fruto é bastante apreciado na culinária, compondo pratos tradicionais. Em geral, o fruto do pequi é consumido quando maduro, na forma in natura ou nos diversos, produtos derivados tais como óleos, licores, doces, sorvetes, entre outros, envolvendo importante atividade socioeconômica geradora de emprego e renda na agricultura familiar. Este trabalho teve por objetivo avaliar o ajuste dos modelos Brody, Gompertz, Logístico e Von Bertalanffy no crescimento e no desenvolvimento de frutos de pequi, com base em suas características físicas, como diâmetro longitudinal e transversal, e massa fresca obtidos ao longo do tempo. Os parâmetros foram estimados por meio de rotinas do software R, utilizando-se do método de mínimos quad rados e o processo iterativo de Gauss-Newton. O ajuste dos modelos foi comparado, utilizando os critérios: desvio-padrão residual, coeficiente de determinação ajustado e critério de informação de Akaike corrigido. Em geral, os dados não apresentaram estrutura de erros correlacionados, e o modelo Von Bertalanffy não se ajustou aos dados de massa fresca. Os modelos apresentaram boa qualidade no ajuste aos dados de crescimento de pequi, exceto o modelo Brody para a variável massa fresca. Os modelos Gompertz e Logístico foram os que melhor descreveram as variáveis, sendo o Gompertz o mais indicado para descrever os dados de diâmetro e de massa. Com base no ajuste, observou-se um crescimento inicial lento até cerca de 20 dias após a antese; após este período, o fruto desenvolveu-se de modo mais acelerado até 90 dias e, então, apresentou tendência à estabilidade até o final da avaliação, aos 117 dias após a antese, com caráter sigmoide da curva. O fruto de pequizeiro obteve valores finais, em média, de 7,1 cm de diâmetro transversal, 6,8 cm de diâmetro longitudinal e 113g de massa fresca. Termos de indexação: Modelos de crescimento, medidas biométricas, curvas sigmoides, ajuste de modelos, pequi.Abstract-Pequi tree is a species native to the Brazilian cerrado, with wide geographic distribution, whose fruit is very appreciated in cooking, composing traditional dishes. In general, pequi fruit is consumed when ripe in the fresh form or in the various derived products such as oils, liqueurs, sweets, ice creams among others, involving important socioeconomic activity generating employment and income in family agriculture. The aim of this study was to evaluate the adjustment of Brody, Gompertz, Logistic and Von Bertalanffy models in the growth and development of pequi fruits based on their physical characteristics such as longitudinal and cross-sectional diameter and fresh mass obtained over time. Parameters were estimated using R software routines, using the least squares method and the Gauss-Newton iterative process. The adjustment of models was compared using the following criteria: residual standard deviation, adjusted determinati...

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Nonlinear Models for Description of Cacao Fruit Growth With Assumption Violations

Cited by 35 publications

References 20 publications

The use of the nonlinear models in the growth of pears of ‘Shinseiki’ cultivar

The use of the nonlinear models in the growth of pears of ‘Shinseiki’ cultivar

Gompertz and Logistic Models to the Productive Traits of Sunn Hemp

Description of the growth of pequi fruits by nonlinear models

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