Correction to: Environmental Science and Pollution Research

https://doi.org/10.1007/s11356-020-09673-5

The correct Eq. 4 is presented in this paper.

The original article is corrected.

$$ \ln\ {y}_i={\beta}_o+{\beta}_1\ln {x}_1+{\beta}_2\ln {x}_2+{\beta}_3\ln {x}_3+{\beta}_4\ln {x}_4+{\beta}_5\ln {x}_5+{\beta}_6\ln {x}_6+1/2\ {\beta}_7\ln {x}_1^2+1/2{\beta}_8\ \ln {x}_2^2+1/2{\beta}_9\ln {x}_3^2+1/2{\beta}_{1 0}\ln {x}_4^2+1/2{\beta}_{1 1}\ln {x}_5^2+1/2{\beta}_{1 2}\ln {x}_6^2+{\beta}_{1 3}\ln {x}_1\ln {x}_2+{\beta}_{1 4}\ln {x}_1\ln {x}_3+{\beta}_{1 5}\ln {x}_1\ln {x}_4+{\beta}_{1 6}\ln {x}_1\ln {x}_5+{\beta}_{1 7}\ln {x}_1\ln {x}_6+{\beta}_{1 8}\ln {x}_2\ln {x}_3+{\beta}_{1 9}\ln {x}_2\ln {x}_4+{\beta}_{2 0}\ln {x}_2\ln {x}_5+{\beta}_{2 1}\ln {x}_2\ln {x}_6+{\beta}_{2 2}\ln {x}_3\ln {x}_4+{\beta}_{2 3}\ln {x}_3\ln {x}_5+{\beta}_{2 4}\ln {x}_3\ln {x}_6+{\beta}_{2 5}\ln {x}_4\ln {x}_5+{\beta}_{2 6}\ln {x}_4\ln {x}_6+{\beta}_{2 7}\ln {x}_5\ln {x}_6+\left({v}_i\hbox{--} {u}_i\right) $$
(4)