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STS452 Yang C. et al.
                      At present, a small number of scholars have studied China's foreign trade
                  and carbon emissions from the perspective of heterogeneity of firm ownership
                  and foreign trade mode (Dietzenbacher et al., 2012; Ma et al., 2015; Jiang et
                  al., 2016). However, it is noteworthy that the vigorous development of China's
                  economy in recent years has bred a large number of small and medium sized
                  firms. According to the data of the National Bureau of Statistics (NBS), the total
                  number of small and medium-sized firms accounting for 97% of the industrial
                  total firms in 2017, which dominates in terms of quantity . The data shows that
                                                                        1
                  China's small and medium-sized firms have contributed 60% of China's GDP,
                                                                     2
                  50%  tax  and  80%  of  urban  employment  in  2018 .  Therefore,  small  and
                  medium-sized firms have become an important force in China's economy and
                  played a significant role in promoting the China's economy progress.
                      Accordingly, there are significant differences in the production structure,
                  technical  level,  import  and  export  trade,  energy  consumption,  carbon
                  emissions, and economic impact among firms of different size types. Under
                  this  background,  it  is  of  great  significance  to  study  the respective  roles  in
                  China’s  economy  and  the  contributions  on  the  value-added  and  trade-
                  embodied carbon emission patterns of different sized firms. Therefore, based
                  on the non-competitive table, we construct an extended Chinese input-output
                  model (LMS model) for the year 2012, considering the heterogeneity of firm
                  size, to explore the value-added as well as trade-embodied carbon emission
                  of different sized firms in China. This study may provide some differentiated
                  policy  implications  at  firm  level  on  the  following  issues:  What  are  the
                  respective roles of different sized firms in China's economy and environment?
                  Are there any significant differences in the value-added among large, medium
                  and small firms? Who is the main driving force of China’s trade-embodied
                  carbon emissions?

                  2.  Methodology
                      2.1 LMS model
                          The traditional Chinese input-output model does not concern the type
                      of firm size, but there are significant differences in production technology,
                      energy  efficiency  and  import  and  export  among  the  big,  medium  and
                      small-sized firms. Therefore, an extended input-output model capturing
                      the heterogeneity of firm size is constructed in our study, based on the
                      2012  non-competitive  input-output  table.  The  model  distinguishes  the
                      large, medium and small firms of industrial sectors, abbreviated as LMS
                      model (Table 1).


                  1  Available at: http://www.stats.gov.cn/tjsj/ndsj/2018/indexch.htm
                  2  Available at: http://www.gov.cn/guowuyuan/2018-08/20/content _5315204.htm

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