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

Ribeiro, Thaís Destéfani; Savian, Taciana Villela; Fernandes, Tales Jesus; Muniz, Joel Augusto

doi:10.1590/0103-8478cr20161097

Cited by 17 publications

(16 citation statements)

References 19 publications

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“…Figures 4, 5 and 6 show the graphs of the adjustment of Brody, Gompertz, Logistic and Von Bertalanffy models to the growth data of pequi fruits for variables cross-sectional diameter (cm), longitudinal diameter (cm) and fresh mass (g) respectively. For all variables, it is possible to clearly see the sigmoidal shape of the fruit development, also observed by Rodrigues et al (2009) with the pequi characterization, Muianga et al (2016), when describing cashew growth and by Muniz et al (2017) in studies on cacao fruit growth and Ribeiro et al (2018) in their studies with the growth of Asian pear fruits. It is interesting to note that, despite the small number of measures used in the study, the sigmoidal growth character was verified and there was enough quality in the model parameters estimation.…”

Section: Resultssupporting

confidence: 75%

“…In regression studies, it is usual to admit in the estimation process and inference under parameters that the errors are independent, which does not necessarily occur when working with time-ordered data that are potentially correlated (CASSIANO; SÁFADI, 2015). In this case, the model parameters estimates can be biased, with values below or above the actual value (GUEDES et al, 2014;MAZZINI et al, 2005;FERNANDES et al, 2014), and one should consider the autocorrelation structure present in data in the model adjustment (PRADO et al, 2013a;RIBEIRO et al, 2018), as it may affect the value of the standard error estimate.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Resultssupporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Description of the growth of pequi fruits by nonlinear models

et al. 2018

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“…Several authors have used these models to describe plant and fruit growth (MUIANGA et al, 2016;PEREIRA et al, 2016;RIBEIRO et al, 2018a;RIBEIRO et al, 2018b). The most frequently used models for sugarcane are the Logistic and Gompertz models, commonly adjusted for stalk growth (SILVA et al, 2012;BATISTA et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Adjusting the growth curve of sugarcane varieties using nonlinear models

et al. 2020

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Assessing sugarcane (Saccharum spp.) stalk growth helps to adequately manage the phenological stages of the crop. The aim of this study was to describe the height-growth curve of four sugarcane varieties (RB92579, RB93509, RB931530 and SP79-1011), in irrigated plant-cane and ratoon cane plantations, using the Logistic and Gompertz nonlinear models, while considering all deviations from assumptions. The model parameters were estimated based on the least squares method using the Gauss-Newton algorithm. To select the most suitable model, nonlinear measures, adjusted coefficient of determination (R2 adj), residual standard deviation (RSD), and corrected Akaike information criterion (AICc) were used. Based on the best models, stalk height growth rates and crop phenological stages were determined using critical points. All tests were performed in the free software environment for statistical computing and graphics, R. In general, the Logistic and Gompertz models without AR(1) better described the plant-cane and ratoon cane stalk height, respectively. All varieties showed early growth, and the RB92579 variety presented higher rates in both cycles.

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“…The following fit quality evaluators were also used: Adjusted Determination Coefficient (R 2 adj ), Residual Standard Deviation (RSD) and the corrected Akaike Information Criterion (AICc) for the three models, given by the following expressions, according to Ribeiro et al (2018b):…”

Section: Methodsmentioning

confidence: 99%

“…According to Mischan & Pinho (2014), the growth of living beings shows a distinct behavior, starting slow, passing to an exponential phase and tending to stabilize at the end. For this reason, many authors like Pereira et al (2016), Ribeiro et al (2018a) and Ribeiro et al (2018b) recommend nonlinear models for growth description, as they are asymptotic and do not reach a maximum point as it happens with polynomial models. These models have the advantage of having smaller number of parameters, generally with biological interpretation, besides facilitating the estimation of daily growth rates, with the maximum rate occurring on the day of the model curve inflection (Gurgel et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

Comparison of polynomial and nonlinear models on description of pepper growth

Jane

Fernandes

Silva

et al. 2019

Agraria

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Pepper (Capsicum sp.) is important for the Brazilian agribusiness, serving as raw material for the food, pharmaceutical and cosmetic industries. The adequate evaluation of its plants growth may help in understanding the causes of crops yield variation, with it being able to be studied by regression models, which help to adequate the management with the different phenological phases. This study aimed to compare the fit of linear Polynomial model and the Logistic and Gompertz nonlinear models in the description of pepper plants growth from the Doce cultivar. Estimates were obtained by the Gauss-Newton method, with the quality of fitted models compared by graphical analysis and evaluators: adjusted coefficient of determination (R 2 adj), Residual Standard Deviation (RSD) and the corrected Akaike Information Criterion (AICc). Residues were normal, independent and homocedastic at 5% level of significance. All models properly described the height of the Doce cultivar. The Logistic model was the most adequate according to the fitting evaluators, having higher value of R 2 adj , and lower RSD and AICc values.

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

Cited by 17 publications

References 19 publications

Description of the growth of pequi fruits by nonlinear models

Description of the growth of pequi fruits by nonlinear models

Adjusting the growth curve of sugarcane varieties using nonlinear models

Comparison of polynomial and nonlinear models on description of pepper growth

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