Before revision:  The method is based on the formulation of the mortality as a combination of cubic splines and it is applied to the  case of Lobesia botrana, the main pest in the European vineyards, with  data collected in a location in the North of Italy .
After revision:  The method is based on the formulation of the mortality as a combination of cubic splines and the estimation method allows to determine its coefficients taking into account the observations measurement error. Moreover, the variability in the estimate is quantified by means of the confidence bands for both mortality and dynamics. The presented method allows to obtain a more flexible shape for the mortality rate functions compared with previous methods applied to the case of Lobesia botrana, the main pest in the European vineyards, with data collected in a location in the North of Italy .