Volume of broadman area of the brain region

In many papers like Page 28 Table III of link and picture below I have seen that volume of the brain regions are calculated of the broadman areas. Can anybody guide me how these values of left and right brain are calculated and what is random effects in volume?

(https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2668960/pdf/nihms97528.pdf)