1. O uso de modelos não lineares na descrição do crescimento de frutos de pereira cultivar ‘Shinseiki’
- Author
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Joel Augusto Muniz, Tales Jesus Fernandes, Thais Destefani Ribeiro, and Taciana Villela Savian
- Subjects
0106 biological sciences ,Residual standard deviation ,Coefficient of determination ,Fruit weight ,Biometric measurements ,modelo Logístico ,Gompertz function ,01 natural sciences ,MODELOS NÃO LINEARES ,lcsh:Agriculture ,pera asiática ,medidas biométricas ,lcsh:Agriculture (General) ,Statistical software ,logistic model ,Mathematics ,modelo Gompertz ,model Gompertz ,Fresh weight ,lcsh:S ,Asian pear ,04 agricultural and veterinary sciences ,lcsh:S1-972 ,Horticulture ,040103 agronomy & agriculture ,0401 agriculture, forestry, and fisheries ,010606 plant biology & botany - Abstract
EnglishThe 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. Key words: Biometric measurements; Asian pear; model Gompertz; logistic model portuguesEste trabalho teve por objetivo descrever o crescimento e desenvolvimento de frutos de pereira asiatica, com base no comprimento, diâmetro e peso fresco obtidos ao longo do tempo, pelos modelos nao lineares Gompertz e Logistico. Os parâmetros dos modelos foram estimados utilizando rotinas no software R, pelo metodo de minimos quadrados e processo iterativo de Gauss-Newton (DRAPER & SMITH, 2014). Os modelos foram comparados utilizando o desvio padrao residual, coeficiente de determinacao ajustado e o criterio de informacao de Akaike. A correlacao residual presente nos dados de comprimento e diâmetro foi modelada por processo auto-regressivo de segunda ordem, tornando os residuos independentes. O modelo Logistico mostrou-se mais adequado para descrever os dados, comprovando o carater sigmoidal do crescimento da pera asiatica com desenvolvimento acentuado das tres variaveis, com ate 125 dias para o comprimento e diâmetro e 140 dias para o peso fresco dos frutos, estabilizando-se, em media, com 72mm de comprimento, 80mm de diâmetro e 224g de peso fresco. Palavras-chave: medidas biometricas; pera asiatica; modelo Gompertz; modelo Logistico
- Published
- 2017
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