Correction to: Scientific Reports https://doi.org/10.1038/s41598-021-00791-9, published online 09 November 2021


The original version of this Article contained an error in Equation 4, where


$${B}_{g,u}={\sum }_{t=1}^{{n}_{s,g}}{\sum }_{i=1}^{{n}_{m,g}}{\mu }_{t,i,u}^{\mathrm{^{\prime}}}{W}_{t}$$

now reads:


$${B}_{g,u }=\sum_{t=1}^{{n}_{s,g}}\frac{{\sum }_{i=1}^{{n}_{m,g,u}}{\mu }_{t,i,u}^{^{\prime}}}{{n}_{m,g,u}}{W}_{t}$$

The original Article has been corrected.