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Double sigmoidal models describing the growth of coffee berries

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EnglishThis study aimed to verify if the growth pattern of coffee berries, considering fresh mass accumulation over time, is double sigmoid and to select the most suitable nonlinear model to… Click to show full abstract

EnglishThis study aimed to verify if the growth pattern of coffee berries, considering fresh mass accumulation over time, is double sigmoid and to select the most suitable nonlinear model to describe such behavior. Data used consisted of fourteen longitudinal observations of average fresh mass of coffee berries obtained in an experiment with the cultivar Obata IAC 1669-20. The fits provided by the Logistic and Gompertz models were compared in their single and double versions. Parameters were estimated using the least squares method using the Gauss-Newton algorithm implemented in the nls function of the R software. It can be concluded that the growth pattern of the coffee fruit, in fresh mass accumulation, is double sigmoid. The double Gompertz and double Logistic models were adequate to describe such a growth curve, with a superiority of the double Logistic model. Key words: Coffea arabica; double Gompertz; double Logistic; nonlinear portuguesO objetivo deste trabalho foi verificar se o padrao de crescimento do fruto do cafeeiro, considerando acumulo de massa fresca em funcao do tempo, e realmente duplo sigmoidal e selecionar o modelo nao linear mais indicado para descrever tal comportamento. Os dados utilizados sao quatorze observacoes longitudinais de massa fresca media de frutos do cafeeiro obtidos em um experimento com a cultivar Obata IAC 1669-20. Foram comparados os ajustes fornecidos pelos modelos Logistico e Gompertz em suas versoes simples e duplo. A estimacao dos parĂ¢metros foi feita pelo metodo dos minimos quadrados utilizando o algoritmo de Gauss-Newton implementado na funcao nls do software R. Pode-se concluir que o padrao de crescimento do fruto do cafeeiro, em acumulo de massa fresca, e duplo sigmoidal. Os modelos duplo Gompertz e duplo Logistico se mostraram adequados para descrever tal curva de crescimento, com uma superioridade do modelo duplo Logistico. Palavras-chave: Coffea arabica; duplo Gompertz; duplo Logistico; nao linear

Keywords: logistico; coffee berries; gompertz; duplo; growth

Journal Title: Ciencia Rural
Year Published: 2017

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