The authors regret to inform readers of the following corrections required in the article. Upon meticulous examination, an error has been identified in the data concerning the fixed-capital utilization matrix C, detailed in Section 2.2 of the paper. Regrettably, this discrepancy has resulted in an inaccurate calculation of the material carbon footprint, encompassing the effect of fixed-capital supply chain.The authors regret that the values of the material footprint (MF) in the sentences [Our results show that the fixed-capital formation was responsible for 454 million tons MF,…] and [The fixed-capital formation for the service sector produced an MF of 168 million tons …] are incorrect. The correct value are 428 million tons and 145 million tons, respectively.