Contributors of carbon dioxide in the atmosphere in Europe: the surface response analysis

This paper is a continuation of the statistical modeling of the nonlinear relationship between atmospheric CO2 and attributable variables that can account for emissions, based on data from EU countries, in order to compare the relevant findings to those obtained in the case of US data, in [1, 2]. The current study was initiated in [3], leading to the optimal second-order model, based on three linear terms and five second-order terms. We conclude this study in the present work, by finding the canonical decomposition of the nonlinear model, and by computing the specific two-dimensional confidence regions that it leads to. We then use the model in order to quantify the net effect of various risk factors, and compare to the results obtained in the US case.