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Page 2 of 20                     Han et al. Carbon Footprints 2025, 4, 25  https://dx.doi.org/10.20517/cf.2025.18

               INTRODUCTION
               Methane (CH ), the second most significant greenhouse gas (GHG), accounts for approximately one-fifth of
                           4
               global GHG emissions. It is much more active in the atmosphere than carbon dioxide (CO ), with a global
                                                                                             2
               warming potential over a 20-year period that is more than 80 times greater than that of CO  emissions .
                                                                                                       [1-3]
                                                                                             2
               Given the pressing challenges of global climate change, mitigating CH  emissions holds paramount
                                                                                4
                         [4-7]
               significance . The Belt and Road (B&R) Initiative - one of the largest and most geographically extensive
               international development strategies - faces extensive use of fossil fuels and ruminant livestock, coupled
               with limited mitigation measures, making CH  emissions in this region a major concern.
                                                      4
               Proposed by China in 2013 and inspired by the ancient Silk Road, the B&R Initiative encompassed over
               two-thirds of the world's population and accounted for about one-third of global GDP as of 2016 . Most
                                                                                                  [8,9]
               B&R countries are developing economies experiencing rapid urbanization, industrialization, and
               international trade growth, all of which may contribute to rising global GHG emissions [10-12] . In Central
               Asian B&R countries such as Kazakhstan, coal represents around 50% of primary energy consumption.
               Extensive underground coal mining in these areas often releases substantial amounts of CH  emissions
                                                                                                4
               through coal mine gas venting. Similarly, ruminant livestock farming, particularly cattle and buffalo rearing
               in countries such as India and Pakistan, constitutes another major source of CH  emissions. Moreover,
                                                                                      4
               many countries are especially vulnerable to the impacts of climate change [13,14] . As the second most
               important greenhouse gas, CH  emissions has the advantage of rapid atmospheric response, meaning that
                                          4
               spatiotemporal analysis of CH  emissions can provide valuable guidance for designing effective mitigation
                                         4
               policies. However, studies focusing on CH  emissions in the B&R region, especially those examining
                                                     4
               emission inequality and the drivers of CH  growth, remain scarce.
                                                  4
               Previous research has largely concentrated on the evolution of GHG emissions [7,15] , particularly in the B&R
               countries [16-18] . Studies also examined electricity development and its carbon emissions [19,20] , drivers of total
               carbon emission changes , and carbon peaking trends . With abundant energy resources [23,24] , the B&R
                                     [21]
                                                               [22]
               region plays an increasingly influential role in shaping the global economy, trade flows, emission patterns,
               and climate trends [25,26] . While considerable attention has been paid to CO  emissions, understanding the
                                                                               2
               trends and characteristics of CH  emissions in the B&R region is both necessary and urgent.
                                          4
               Multi-regional input-output (MRIO) models have been widely applied to quantify resource and
               environmental footprints, including energy [27,28] , air pollution , water , ecological impacts , renewable
                                                                           [30]
                                                                    [29]
                                                                                              [31]
               energy , and GHG emissions . Most studies emphasized carbon emissions, focusing on topics such as the
                                         [25]
                     [32]
                                                                                          [34]
                                       [33]
               pollution haven hypothesis , the B&R’s effect on global and Chinese CO  emissions , mutual carbon
                                                                                 2
               emissions and spillover effects between China and B&R countries , embodied carbon transfer flows [36-38] ,
                                                                       [35]
               emission inequality [39,40] , and the exchanges between embodied economic benefits and CO  emissions . For
                                                                                                    [41]
                                                                                           2
               example, Fang et al. applied MRIO analysis to assess water, land, carbon, nitrogen, and phosphorus
               footprints, finding that the B&R region was a net exporter of trade-embodied flows, except for virtual
               water . Lu et al. showed that from 1995 to 2015, the B&R region contributed over 50% of the global carbon
                    [31]
               footprint . Wang et al. examined India’s embodied carbon emissions in international trade finding, that
                       [40]
               most of its exported CO  emissions were destined for developed countries, while the majority of its
                                     2
                                                                [42]
               imported emissions originated from developing countries . Hou et al. analyzed CH  emissions embodied
                                                                                       4
                                              [25]
               in B&R trade between 2004 and 2011 .
               In recent years, inequality in CO  emissions has been widely studied using methods such as the Lorenz
                                            2
               curve, Theil index, coefficient of variation, and Gini coefficient [43-46] . However, little attention has been given
               to inequality in CH4 emissions. Tapio  first proposed the decoupling theory to evaluate the relationship
                                                [47]
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