作者: B Hau , L Amorim , A Bergamin Filho
DOI: 10.1094/PHYTO-83-928
关键词: Applied mathematics 、 Sigmoid function 、 Function (mathematics) 、 Residual 、 Ecology 、 Gompertz function 、 Nonlinear regression 、 Biology 、 Generalised logistic function 、 Asymptote 、 Sugarcane smut 、 Agronomy and Crop Science 、 Plant science
摘要: Ten mathematical functions used to describe disease progress curves of double sigmoid pattern were tested using data from epidemics sugarcane smut. Four the represent sum two simple equations (logistic + logistic, Gompertz Gompertz, monomolecular and Gompertz); other six are generalizations models (logistic, monomolecular, Gompertz) with four five parameters. For all functions, high coefficients determination (R>0.95) obtained in nonlinear regression analyses To choose most appropriate function, determination, residual sums squares for error, biological meaning each parameter, accuracy estimating upper asymptote utilized [...]