Pathways to Global Methane Mitigation: Regional and Sectoral Supply-Side Solutions

Pathways to Global Methane Mitigation: Regional and Sectoral Supply-Side Solutions | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Pathways to Global Methane Mitigation: Regional and Sectoral Supply-Side Solutions Caleb Milliken, Alice Favero, Robert Beach, Jeffrey Petrusa, Stanley Lee This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8099998/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In 2021, the US and EU launched the Global Methane Pledge aiming to reduce emissions by 30% below 2020 levels by 2030 (about 2,985 MtCO 2 e). Since its launch, 160 countries have joined the initiative. With less than five years remaining to achieve this target—and despite evolving political landscapes and shifting national priorities—identifying cost-effective mitigation strategies remains critically important. Given the considerable variation in methane abatement potential and costs across countries and sectors, a disaggregated global assessment is essential. This study focuses on direct methane abatement activities as a key component of the mitigation portfolio. Results indicate that 73% of the Pledge (about 2,400 MtCO 2 e) can be achieved through technological interventions costing less than 100$/tCO 2 e by 2030, with the energy sector offering the largest potential. These findings underscore the feasibility of targeted technological action and highlight the regional differences in abatement potential that shape progress toward global methane reduction goals within the remaining timeframe. Earth and environmental sciences/Climate sciences Earth and environmental sciences/Environmental sciences Earth and environmental sciences/Environmental social sciences Scientific community and society/Social sciences Figures Figure 1 Figure 2 Figure 3 Introduction Since the Industrial Revolution, methane (CH 4 ) is responsible for around 30% of global temperature increases – about half of carbon dioxide’s contribution (IEA 2023). Moreover, its emissions have been increasing steadily since 1850, with emissions reaching double 1960 levels in 2020.[1] Currently, the main anthropogenic sources of methane emissions are agriculture (43%), fossil fuel production (38%), and the waste & wastewater sectors (19%) (EPA, 2019). Methane does not only represent a key contributor to climate change but also a key player in future mitigation pathways to limit the increase in global average temperature. According to the IPCC Special Report, timely and sizeable emissions reductions of methane are necessary to limit temperature increases to 1.5°C in the short term (IPCC, 2018). Furthermore, the 2021 Global Methane Assessment suggests that there are possible pathways to reduce emissions by 45% relative to 2020 levels by 2030, and this reduction constitutes a cost-effective contribution to meeting the 1.5°C target (UNEP CCAC 2021). In response to the pressing need for methane mitigation, the US and EU launched the Global Methane Pledge (GMP) at the 2021 Conference of Parties to the United Nations Framework Convention on Climate Change (COP26) in Glasgow, a non-binding commitment to reduce global anthropogenic methane emissions at least 30% below 2020 levels by 2030. Since then, 160 nations representing about 50% of global methane emissions in 2020 have signed the pledge.[2] Interestingly, the GMP does not set specific targets for each signatory country; instead, it defines an aggregated goal, allowing greater flexibility in where and how methane reduction activities are implemented to achieve the common objective. On the other hand, the voluntary nature of the GMP and the partial participation of key methane emitters may necessitate clearer guidance on each country's reduction potential and the associated costs to achieve the 30% goal in the short term, as well as to define long-term pathways beyond it. However, the current trajectory tells a different story, with global CH 4 emissions continuing to increase. Recent estimates suggest that CH 4 emissions are up about 3-5% from 2020 levels (Jones et al., 2024, Crippa et al., 2025). As the pledge does not include national-level targets, global cooperation is essential to identify and implement the lowest-cost mitigation actions across countries and sectors in order to meet such ambitious goals as cost-effectively as possible. Multiple studies agree that, at the global level, the fossil fuel sector offers the greatest mitigation potential, followed by waste and agriculture sectors (EPA 2019; UNEP CCAC 2021; Hoglund-Isaksson et al. 2020; Malley et al. 2023). However, each study outlines its own pathway, with methane emissions mitigated through various channels, particularly direct technical abatement options that aim to capture or reduce emissions at the source. These technical options exist across all three major methane-emitting sectors—for example, administering anti-methanogenic vaccines to limit enteric fermentation in livestock (agriculture), diverting waste from landfills by increasing composting (waste), and capturing fugitive emissions from coal mines (energy). Second, through activities that reduce the demand for methane-intensive products and services—for example, shifting diets to reduce the consumption of methane-intensive foods. Lastly, through CO₂-driven decarbonization actions, such as improvements in energy efficiency or changes in the energy mix, which indirectly reduce methane emissions associated with the extraction and consumption of fossil fuels. This study focuses exclusively on direct technical abatement activities—supply-side measures—as a central and sufficient component of the methane mitigation portfolio. While other channels such as demand reduction and indirect CO₂-driven actions also offer abatement potential, existing evidence shows that supply-side interventions alone can deliver substantial emissions reductions, particularly in the near term. For instance, Ou et al. (2021) show that under a 2°C scenario, up to 3.49 GtCO₂e of methane abatement could be achieved by 2050. Although indirect CO₂-driven decarbonization measures, such as fuel switching, contribute approximately 38% and 46% of methane abatement in the land and energy sectors respectively (UNEP CCAC, 2021), these are not included in this analysis. Importantly, even without accounting for these indirect measures, supply-side technical abatement remains a powerful and necessary lever—one that can deliver significant progress toward Global Methane Pledge (GMP) targets. By focusing on technical abatement opportunities across the three major methane-emitting sectors, this study identifies the most cost-effective strategies for methane reduction at the regional level. We utilize data from the latest U.S. Environmental Protection Agency (EPA) assessment of non-CO₂ greenhouse gas emission projections and corresponding marginal abatement cost (MAC) curves (EPA, 2025). The analysis further highlights the sectoral and regional distribution of abatement options available at costs below $100 per tCO₂e, reinforcing the viability of supply-side strategies as a standalone pathway to meaningful methane reductions We believe this analysis will be valuable to a range of stakeholders. First, policymakers can use our findings to identify low-cost methane mitigation opportunities within their countries and develop roadmaps to meet their pledges at minimal cost. Second, the integrated assessment modeling (IAM) community can use the results to incorporate more consistent and regionally specific methane reduction pathways into their climate mitigation scenarios. Third, international agencies may find the analysis useful for assessing the feasibility of global methane pledges and evaluating the potential role of international finance in supporting the transition to a less methane-intensive future. [1] Greenhouse gas emissions - Our World in Data, access on August 24, 2023. [2] The updated list of signees is available here: https://www.globalmethanepledge.org/ Results Future projections show that the world is not on track to meet the global target of a 30% reduction in methane emissions under baseline markets and policies; direct mitigation actions are required (EPA 2025). In the absence of targeted mitigation actions, future methane emissions are projected to increase from 9,174 in 2020 to 9,697 M tCO 2 e in 2030 (+6%). The agriculture sector is expected to account for 43% of 2030 emissions, followed by 37% from the energy sector and 20% from waste. Compared to historical observations, the waste sector is expected to increase its relative contribution to global emissions, while energy and agriculture’s share of emissions are expected to drop slightly. At the country level, India is projected to have the largest total growth in methane emissions in the next decade, followed by China, Pakistan, and Indonesia. This is a slight deviation from historical trends, as from 1990 to 2020 China saw the greatest growth in methane emissions, followed by Brazil, India, and Iran. Moreover, GMP signatories accounted for 51% of 2020 emissions and are expected to maintain about the same proportion in 2030 in the BAU scenario. Among the countries that did not sign the GMP, China is expected to contribute 17% of global emissions in 2030, Russia 10%, and India 7%. If fully implemented, direct CH 4 abatement activities could reduce emissions by 1,683 MtCO 2 e in 2030 for signatory countries – equivalent to an 18% reduction of 2020 global levels. If all countries contribute to the effort, the maximum abatement potential is 2,966 MtCO 2 e (about 27% reduction from 2020)[3]. This means that supply-side CH 4 mitigation measures could nearly meet the GMP alone, without relying on indirect CH 4 reductions from CO 2 decarbonization activities or decreases in the consumption of CH 4 -intensive goods and services. However, this may not be the most cost-effective approach, as demand-side abatement options could be cheaper. A combined strategy of supply- and demand-side measures is likely the most efficient path to achieving the GMP. Importantly, in the IPCC scenarios consistent with limiting global average temperature below 1.5°C (Rogelj et al. 2018; Climate Analytics 2021), CH 4 emissions decrease by 34% (range of 25-53%) relative to 2020 showing that both the maximum technology-driven potential and the GMP target are within the range that allows the world to stay in the 1.5°C pathway ( Figure 1 ). The distribution of abatement across break-even price ranges indicates that about 2,389 MtCO 2 e (global) in mitigation could be achieved at a cost below 100 $/tCO 2 e, an additional 390 MtCO 2 e could be abated between 100 $/tCO 2 e and 500 $/tCO 2 e, while the rest of the abatement (187 MtCO 2 e) requires a dollar value on emissions above 500 $/tCO 2 e. This study focuses on abatement opportunities below $100 per ton—referred to as “low-cost abatement” throughout the paper—since these measures account for over two-thirds of the GMP target and costs increase steeply beyond this threshold. At the country level, achieving the least-cost methane mitigation potential requires action from both signatories and non-signatories of GMP. The regional distribution of low-cost abatement opportunities is heterogenous with the largest quantity of abatement potential available in the East Asia & Pacific region (36.0%) followed by Europe and Central Asia (17.0%), Middle East & North Africa (13.3%), Latin America & Caribbean (9.5%), North America (8.1%), Sub-Saharan Africa (6.3%), and South Asia (9.8%) ( Figure 2 ). This abatement is relatively evenly split between signatory and non-signatory countries, with 53% coming from signee countries (1,269 MtCO 2 e), and 47% coming from non-signatories (1,120 MtCO 2 e). Aggregating by the World Bank’s income classification[4], only 4% of the potential is in low-income countries (LICs), 32% in lower middle-income countries (LMICs), 44% is in upper middle-income countries (UMICs) and 20% is in high-income countries (HICs). Abatement is very small across LICs in energy and agriculture, while countries across the income distribution show relatively high abatement potential in the waste sector ( Figure 3 and Tables S3 ). Abatement options in the waste sector, specifically from landfill methane capture options, offer the largest low-cost abatement in sub-Saharan Africa, Latin America & Caribbean, and South Asia ( see Figure 2 ). Regions with strong energy sectors, such as East Asia & the Pacific, Europe and Central Asia, Middle East & North Africa, and North America, have the greatest low-cost abatement options in the energy sector, primarily in oil and natural gas-related operations. The exception to that is China, which has enormous abatement potential in the coal sector. Over 14% of the world’s low-cost abatement potential is from China’s coal sector. In the coal mining industry, specifically in underground mines, like many in China and to a lesser extent in other coal mining countries, ventilation air methane (VAM) is the largest source of methane emissions (EPA, 2019c). Recovering the methane instead of releasing it into the atmosphere provides a low-cost, and sometimes cost-effective (profitable), option as recovered methane can be used as an energy resource. Options include injecting the captured methane into natural gas pipelines to be transported or for on-site electricity and/or heat generation. VAM capture in China covers 10% of the world’s low-cost abatement options. Similar VAM technology could abate significant CH 4 emissions in Russia’s coal mining industry as well (about 2% of world’s low-cost abatement). In other fossil-fuel producing regions, most mitigation potential comes from the oil & gas sectors. The Middle East & North Africa and Europe and Central Asia account for the most mitigation potential in the oil & gas sector; however, the United States holds enormous mitigation potential as well. Abatement activities in the Middle East and North Africa and Europe and Central Asia (primarily Russia) revolve around monitoring and limiting fugitive methane emissions from oil and gas operations. The next highest mitigation potential is in the United States, where the top mitigation options include installing catalytic converters on gas engines and turbines and a handful of leak monitoring options to limit fugitive emissions. The waste sector holds the next most potential for low-cost abatement at the global level, with 653 and 96 MtCO 2 e abatable for under 100 $/tCO 2 e in the solid waste and wastewater industries, respectively. In this sector there is abatement potential across world regions, including in many lower income countries, unlike the energy sector. In Sub Saharan Africa, Latin America and the Caribbean, and South Asia, abatement measures in solid waste and wastewater management provide the greatest potential for low-cost abatement. Solid waste measures with the greatest potential for abatement include installation of anaerobic digestion and mechanical biological treatment facilities which are controlled waste management facilities that can capture the methane produced from decomposition of organic matter and utilize it, instead of the methane releasing into the atmosphere. Other measures divert organic waste from landfills – such as recycling and composting – to decrease the amount of decomposition taking place in anaerobic conditions. In regions with well-developed landfill sectors, like North America and Europe and Central Asia, the greatest reduction potential comes from capturing methane emissions in the form of landfill gas either for flaring or electricity generation. Landfill and wastewater mitigation measures, their low-cost potential, and countries with the most mitigation potential are shown in Table S2 . On the other hand, the wastewater sector represents a much smaller proportion of low-cost mitigation and most of the potential is in places where rapid urbanization has taken place without development of advanced wastewater treatment ( Figures 2 & 3 ). In this case, the primary mitigation measure is converting open sewers to aerobic wastewater treatment plants mainly in Indonesia, Brazil, Bangladesh, India, and China. Separately, wastewater abatement measures tend to have health and environmental co-benefits as wastewater treatment is improved but these co-benefits are not measured in the analysis. Despite having the greatest share of BAU anthropogenic methane emissions in 2030, agriculture has the least low-cost mitigation potential, largely due to barriers to adoption of mitigation strategies in extensive agricultural systems. This differs from the waste and energy sectors in which emissions are typically centralized, offering more opportunity to control emissions directly with technologies. In total, 503 MtCO 2 e (21% of total low-cost abatement) is achievable at a cost below $100/tCO 2 e, just over half of which comes from livestock mitigation measures and the rest from changes in rice cropping systems ( Table S1 ). At the global level, the top abatement measure for livestock is administering antimethanogen vaccines that limit methanogen activity and reduce methane production from enteric fermentation, holding the potential to abate 59.5 MtCO 2 e in 2030. USA, China, Brazil, Nigeria, India, and Pakistan have the largest potential from this measure, accounting for half of the total global estimates. Another promising mitigation measure is provision of propionate precursors, feed supplements that limit the production of methane in the rumen of livestock, accounting for 33MtCO 2 e globally. The countries with the most potential include the USA, Brazil, India, China, and Pakistan. In agriculture outside of livestock there are abatement options available for rice cultivation, with over 80% of the abatement opportunities coming from East Asia and South Asia ( Figure 2 & Table S1 ). There are three key methane mitigation options for rice: alternate wetting and drying, dry-seeding, and midseason drainage of rice paddies. All three activities are water-management practices that reduce anaerobic conditions in rice paddies that foster the growth of methane-producing microbes. [3] Note that abatement is measured in this case as reductions from 2030 business as usual projections, yet the GMP target is measured as a percentage below 2020 levels. For instance, a 2,966 MtCO 2 e reduction in 2030 from 2030 projected levels is only 2,443 MtCO 2 e below 2020 emissions of 9,174 MtCO 2 e, or about 27% lower. [4] World Bank Country and Lending Groups (https://datahelpdesk.worldbank.org/knowledgebase/articles/906519-world-bank-country-and-lending-groups) Discussion and Conclusion This study presents low-cost mitigation strategies that can support progress toward the global goal of reducing methane emissions by 30% by 2030. Results show that achieving this target within the remaining years will require strong international cooperation and the implementation of targeted methane abatement measures across key sectors: energy, waste, and agriculture. The sector with about half of the total low-cost mitigation potential is the energy sector, followed by waste and agriculture supporting similar results found in the literature (IPCC, 2022; IEA, 2023). While technologies vary globally, the lowest hanging fruit for low-cost methane abatement is through elimination or capture of fugitive emissions in fossil fuel operations, especially in advanced economies with strong energy industries. However, to reach such an ambitious goal the world needs to actively reduce emissions in all sectors, and there are significant low-cost abatement options in the waste sector in all regions of the world. In the agricultural sector, enteric fermentation from livestock presents the largest remaining bottleneck to mitigating methane emissions as it contributes to one third of all emissions and has relatively few feasible mitigation options at low cost, as reported in other studies (e.g., Harmsen et al. 2019; IPCC 2022). There are new feed additives developed in recent years, such as those made from certain species of red algae (e.g., Asparagopsis taxiformis ) or 3-Nitrooxypropanol (3-NOP) to reduce methane emissions from enteric fermentation in livestock that have been shown to be effective in experimental settings. New to the EPA data in the 2025 update, these options have been included, increasing the potential abatement estimated for the livestock sector. However, mitigation available from these feed additives by 2030 is limited because there remain substantial barriers to their large-scale adoption in the near-term (Brooke et al., 2020; Wasson et al., 2022; Ceh et al., 2021; Melgar et al., 2021). Separately, indirect emissions reduction measures that are not considered in this study are indeed a key complement to achieving the pledge. Activities such as displacing fossil fuel production with renewable energy, increasing residential and commercial energy efficiency, reducing food loss, and shifting diets can help achieve the GMP target by reducing methane emissions either through changes on the demand of methane-intensive products or as a co-benefit of CO 2 -abatement activities (UNEP CCAC 2021; Climate Works, 2023; Ou et al., 2021). This roadmap of methane abatement opportunities —across countries, sectors, and key technological options—can serve as a valuable tool for countries joining the GMP , helping them align their contributions with domestic policies and mitigation potential (See Table S4 ). Recently, Azerbaijan, Tajikistan, Guatemala, and Madagascar joined the GMP, increasing the number of signees to 160 and increasing the share of global low-cost abatement from signatory countries to 53%. In addition, non-signatory countries that commit to reduce methane emissions through domestic policies could use the results to assess the cost-effective mix of abatement strategies and prioritize investments in activities with the expected largest return. Malley et al. (2023) found that 23% of methane-related mitigation actions presented in the global NDCs came from non-signatory countries and China has committed to include methane in its next NDC.[5] As initiatives to fund methane abatement globally gain traction, such as the Global Methane Hub[6] and the $1 billion in new grant funding for methane action from GMP partners[7], the findings presented in this analysis could help identify key mitigation strategies in low-income countries that could benefit from international financial support and pave the way to reaching the GMP goal. In LICs, the greatest low-cost methane mitigation can be achieved through measures in the solid waste sector. In LMICs, solid waste and oil & gas lead the way with the most low-cost abatement potential. Measures in the waste sector that can achieve the greatest abatement come from landfill or landfill diversion measures, such as waste-to-energy facilities, mechanical biological treatment, recycling, anaerobic digestion, composting, and electricity generation or flaring of landfill gas, in places that have established landfills. The most potential for these activities in LMICs is in Pakistan, Indonesia, Egypt, Algeria, India, Nigeria and in LICS in DRC, Syria, and Mozambique. Finally, high methane emitting companies could find the results presented in this study a good benchmark for their voluntary pledges and estimated costs. During COP 28, 50 oil and gas companies (including ExxonMobil, Shell, and BP) totaling about 40% of global production pledged to reduce methane emissions to “near zero” by 2030 focusing on eliminating methane leaks and stopping flaring.[8] Several limitations of this study should be acknowledged and addressed in future research to enhance the accuracy and applicability of the findings. First, Marginal Abatement Cost (MAC) curves represent the average economic potential of mitigation technologies within a sector. They are based on the assumption that if a mitigation technology is technically feasible in a given country, it will be implemented according to the relevant economic conditions. Consequently, MAC curves do not fully capture the market potential, social acceptance, or political feasibility of a technology, all of which can constrain the implementation of one or more mitigation options. In addition, no assumptions have been made regarding a policy environment that might favor specific mitigation strategies, which could potentially reduce costs or accelerate adoption. In practice, targeted policies—such as subsidies, carbon pricing, or regulatory incentives—can significantly influence the relative attractiveness and economic feasibility of different mitigation options. By not including these policy factors, the analysis focuses on a neutral scenario, providing a baseline assessment of mitigation strategies without policy-driven distortions. Moreover, the models used in this analysis are static. They do not account for the dynamic adoption of mitigation technologies over time, meaning gradual improvements in efficiency, learning effects, or shifts in technology deployment patterns are not captured. The models also do not consider competition for limited resources—such as land, labor, or raw materials—nor do they incorporate broader market dynamics, including price feedbacks, substitution effects, or cross-sector interactions. These limitations could affect the relative costs and effectiveness of mitigation strategies over longer time horizons. However, because the analysis is focused on the near term—through 2030—these dynamic effects and market interactions are unlikely to substantially influence the key findings. Over this relatively short period, the primary drivers of outcomes are the inherent characteristics and costs of the mitigation options themselves, rather than broader economic or market adjustments. [5] Q&A: What does China’s new methane plan mean for its climate goals? - Carbon Brief [6] Global Methane Hub - Fighting to reducing methane emissions worldwide. [7] 2023 Global Methane Pledge Ministerial: decisive action to curb emissions - European Commission (europa.eu) [8] Oil & Gas Decarbonization Charter launched to accelerate climate action (cop28.com) Methods This study develops the baseline CH 4 emissions and the CH 4 Marginal Abatement Cost (MAC) curves using the data from the 2025 EPA non-CO 2 emissions projections and mitigation Report (EPA 2025). For more detailed description of the methodology see EPA’s Non-CO 2 Methodology Report, which was last updated in 2019 though the 2025 dataset follows a similar approach (EPA 2019b). Baseline. For each sector, country-specific baseline projections of key activity drivers influencing CH 4 emissions (e.g., livestock populations, area of paddy rice cultivated, population and per capita generation of solid waste, natural gas production, quantity of coal mined) and associated CH 4 emissions for the years 2015 through 2050 are elaborated. The data sources used to generate baseline emissions varied across the three sources: energy, waste and agriculture. The general approach used for projecting future emissions uses a combination of publicly available emission estimates from nationally prepared GHG reports with the EPA-estimated emissions consistent with the Revised 1996 IPCC Guidelines for National Greenhouse Gas Inventories (1996 IPCC Guidelines) (IPCC, 1997), the IPCC Good Practice Guidance and Uncertainty Management in National Greenhouse Gas Inventories (IPCC Good Practice Guidance) (IPCC, 2000), and the 2006 IPCC Guidelines for National Greenhouse Gas Inventories (2006 IPCC Guidelines) (IPCC, 2006). For Annex 1 (A1) countries, the primary source of data is the National Inventories Common Reporting Format (CRF) files reported to the UNFCCC (UNFCCC, 2018a). For Non-Annex 1 (Non-A1) countries, the primary source of data is the UNFCCC flexible query system (UNFCCC, 2016). Moreover, to project emissions, the analysis uses drivers based on globally available growth rates or activity data specific to each source (see EPA, 2019b for additional detail). Although the baseline generally does not explicitly model emission reduction policies undertaken by individual countries, and the default IPCC factors typically reflect uncontrolled emissions, the composite emission projections do include historical emission reductions. To the extent that emission reductions are reflected in country-reported base year data, those rates are used throughout the projection time series. Thus, the degree to which reductions are included in a particular estimate corresponds to the extent to which reductions are reflected in country-reported data. Mitigation. Methane mitigation options discussed in this study are represented as emissions reductions from regional baseline projections described above. For each mitigation option within each sector, its technical effectiveness (TE) measures percentage reduction in baseline emissions that can be achieved with its adoption, and it is calculated by multiplying the option’s technical applicability (TA) by its market share (MS) and its reduction efficiency (RE) as presented in Eq. 1. Technical applicability accounts for the portion of emissions from a facility or region that a mitigation option could feasibly reduce based on its application. The implied market share of an option is a mathematical adjustment for other qualitative factors that may influence the effectiveness or adoption of a mitigation option. The market shares, determined by various sector-specific methods, are assumed to sum to one for each sector and were assumed constant over time. Once the technical effectiveness of an option was calculated as described in [1], this percentage is multiplied by the baseline emissions (BE) for each sector and region to calculate the absolute amount of emissions reduced by employing the option (ER). This calculation yields the percentage of baseline emissions that can be reduced at the national or regional level by a given option and it is measured in tons of carbon dioxide equivalent (tCO 2 e) following equation [2]. The MAC curves focus only on direct mitigation measures from technologies and changes in practices on the supply side. They do not include mitigation options in the demand side such as reductions in the demand of methane intensive products. Breakeven price. Each CH 4 abatement option is characterized in terms of its costs and benefits per an abated unit (ER). The benefits include a carbon value/price expressed as $/tCO 2 e. The carbon price at which the benefits of one mitigation option equal its costs is referred to as the option’s break-even price. Specifically, for each mitigation option i, the carbon price ( P ) at which that option becomes economically viable was calculated using the equation [3] where the present value of the benefits of the economic activity and the mitigation action (left side of equation 3) equals the present value of the costs of implementing the mitigation option (right side of equation 3). In most cases, the abatement of CH 4 has two price signals: one price based on recovered CH 4 ’s value when sold as energy (because natural gas is between 90% and 98% CH 4 ) and one price based on CH 4 ’s value as a GHG[9]. All cost and benefit values are expressed in constant-year 2015 U.S. dollars. Costs and benefits of abatement options were adjusted to reflect regional prices. Wages and prices vary by country. Hence, recurring O&M costs were segmented into labor, energy, and materials costs. Material cost components ranged from materials and supplies in the industrial and energy sectors to fertilizer costs in the agricultural sectors—all of which are likely to vary by region. One-time capital costs were assumed to be relatively stable across regions and were not adjusted from country to country. MAC curves. The CH 4 MAC curves were constructed using a bottom-up average break-even price calculation. Specifically, the average break-even price was calculated for the estimated abatement potential for each CH 4 mitigation option, then the options were ordered in ascending order of break-even price (cost) and plotted against abatement potential. The resulting MAC curve is a stepwise function because each point on the curve represents the break-even price point for a discrete mitigation option. Moreover, the curve becomes vertical at the point of maximum total abatement potential, which is the sum of all technically feasible abatement options in a sector or region. At this point, no additional price could drive more emission reductions. Finally, the points on the MAC curve that appear at or below the zero-cost line ($0/tCO 2 e) illustrate potential savings; however, monetary and nonmonetary barriers may prevent their adoption as in the case of investments in low carbon technologies (Gillingham et al. 2012). Since the focus of this study is only on CH 4 emissions, it does not consider mitigation activities targeting other gases that are likely to increase methane emissions, such as the application of nitrification inhibitors alongside nitrogen fertilizer application, which decreases NO 2 emissions but slightly increase methane emissions. This may cause methane mitigation values to look slightly different than past aggregate non-CO 2 abatement estimates using the same data, especially in the croplands sector. [9] In addition, some mitigation options may increase or decrease production costs and/or affect productivity. These impacts are accounted for by adjusting the revenue and/or recurring costs associated with each option to reflect the net changes associated with each mitigation option. For instance, in the case of livestock enteric fermentation, some options for mitigating methane reduce the amount of dietary energy converted to methane in the rumen and increase the amount of dietary energy available for the animal’s nutrition. This results in more efficient production of milk and meat, providing higher revenue and/or lower input costs per head, increasing net revenue from livestock production and reducing the net cost associated with those mitigation options. Declarations Data availability The results data generated in this study are publicly available on the EPAs website: Global Non-CO2 Greenhouse Gas Emission Projections & Mitigation Potential: 2020-2080 | US EPA Acknowledgements: Funding: This work was supported by the U.S. Environmental Protection Agency (EPA) (Contract #68HERH19D0030, Call Order #68HERH23F0146). The views expressed in this article are those of the authors. Author contributions A.F., R.B., J.P., and C.M. conceived of the study. C.M. reviewed previous relevant literature. A.F. and R.B. led the scenario design. S.L. ran the MAC curves Non-CO 2 code model and prepared all of the results figures. A.F. and C.M. wrote the manuscript, with contributions from R.B. and J.P. All authors reviewed and signed off on the final version of the study. Competing interests The authors declare no competing interests. Additional information The online version contains supplementary material. References Brooke, C. G., Roque, B. 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United Nations Framework Convention on Climate Change Flexible GHG Data Queries. Online Database. Available online at http://unfccc.int/di/FlexibleQueries/Setup.do United Nations Framework Convention on Climate Change. 2018a. 2018 Annex I Party GHG Inventory Submissions to the UNFCCC. CRF Data Files. Available online at https://unfccc.int/process-and-meetings/transparency-and-reporting/reporting-and-review-under-the-convention/greenhouse-gas-inventories-annex-i-parties/national-inventory-submissions-2018 Vijn, S., Compart, D. P., Dutta, N., Foukis, A., Hess, M., Hristov, A. N., Kalscheur, K. F., Kebreab, E., Nuzhdin, S. V., Price, N. N., Sun, Y., Tricario, J. M., Turzillo, A., Weisbjerg, M. R., Yarish, C., & Kurt, T. D. (2020). Key considerations for the use of seaweed to reduce enteric methane emissions from cattle. Frontiers in Veterinary Science. 7. https://www.frontiersin.org/articles/10.3389/fvets.2020.597430/full Wasson, D. E., Yarish, C., & Hristov, A. N. (2022). Enteric methane mitigation through Asparagopsis taxiformis supplementation and potential algal alternatives. Frontiers in Animal Science, 3. https://doi.org/10.3389/fanim.2022.999338 White House Office of Domestic Climate Policy 2021 US methane emissions reduction action plan: critical and commonsense steps to cut pollution and consumer costs, while boosting good-paying jobs and american competitiveness (The White House Office of Domestic Climate Policy Document) Additional Declarations No competing interests reported. Supplementary Files SupportingFiguresandSupportingTables.docx Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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1","display":"","copyAsset":false,"role":"figure","size":187769,"visible":true,"origin":"","legend":"\u003cp\u003eHistorical and Projected Global Methane Emissions\u003c/p\u003e\n\u003cp\u003eHistorical methane emissions and future emissions under different assumptions (business as usual (BAU), GMP, technical abatement below \u0026lt;100 $/tCO2e and max technical potential) together with the expected emission range under the 1.5°C scenarios from the IPCC\u003cem\u003e.\u003c/em\u003e\u003cem\u003e\u003cstrong\u003e \u003c/strong\u003e\u003c/em\u003eHistorical emissions from 1990 to 2020 are sourced from EPA (2025) data. Projections in 2030 are elaborated using the data from the EPA 2025 report. The GMP target in this analysis is calculated from EPA (2025) data for two reasons. 1) The Global Methane Assessment (which defines the GMP goal) uses the EPA 2019 Report as a reference for methane baseline emissions together with other sources (UNEP CCAC 2021, p. 11) and 2) for consistency, as this study relies on mitigation potentials based on baseline emissions from EPA 2025. Thus, the 30% GMP target outlined in the “Global Methane Assessment: 2030 Baseline Report” is likely to differ slightly from the target used in this study. In the “Global Methane Assessment: 2030 Baseline Report”, 2020 baseline value is presented as the average of several estimates, coming out to 372MT of methane, implying that a 30% reduction target would be 111.6MtCH\u003csub\u003e4\u003c/sub\u003e below 2020 levels, or approximately 2,790MtCO\u003csub\u003e2\u003c/sub\u003ee using a GWP value of 25.\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-8099998/v1/184f1837142b16f50f1f7d1f.png"},{"id":97137434,"identity":"0c25b9c0-032c-4867-b4d5-ede714c7a0f8","added_by":"auto","created_at":"2025-12-01 09:57:45","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":260349,"visible":true,"origin":"","legend":"\u003cp\u003eLow-cost abatement potential \u0026lt;100 $/tCO\u003csub\u003e2\u003c/sub\u003ee in 2030\u003c/p\u003e\n\u003cp\u003eThe map shows the distribution of CH\u003csub\u003e4\u003c/sub\u003e abatement potential under $100/tCO\u003csub\u003e2\u003c/sub\u003ee in 2030 by country in MtCO\u003csub\u003e2\u003c/sub\u003ee while bar charts show the distribution of abatement by sector across seven macro regions and whether or not the abatement is from signee or non-signee countries. LAN=Landfill; RICE=Rice cultivation; GAS=Natural gas (extraction and use); LIVE=Livestock production and management; COL=Coal; WWR= Wastewater.\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-8099998/v1/2a2a0e7992a9f796bd4dde8e.png"},{"id":96998638,"identity":"640cd03a-4be0-4c6a-b64d-823d83d6dad8","added_by":"auto","created_at":"2025-11-28 12:52:12","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":80579,"visible":true,"origin":"","legend":"\u003cp\u003eLow-cost abatement potential (\u0026lt;$100/tCO\u003csub\u003e2\u003c/sub\u003ee) by country income status and sector. WWR: Wastewater; RICE: Rice; Live: Livestock; LAN: Landfill; GAS: Oil \u0026amp; Gas; COL: Coal\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-8099998/v1/a038cd1472d44764fcec8385.png"},{"id":101880512,"identity":"a0d68037-0df2-49d8-a290-2196f016746f","added_by":"auto","created_at":"2026-02-04 15:03:05","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1029749,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8099998/v1/51ccd11c-1ff3-4844-80f7-43d646435395.pdf"},{"id":96998634,"identity":"7327cde6-ddc8-4894-bdcb-1ce161374d9c","added_by":"auto","created_at":"2025-11-28 12:52:12","extension":"docx","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":172733,"visible":true,"origin":"","legend":"","description":"","filename":"SupportingFiguresandSupportingTables.docx","url":"https://assets-eu.researchsquare.com/files/rs-8099998/v1/056a7e0726ca74a4387bb995.docx"}],"financialInterests":"No competing interests reported.","formattedTitle":"Pathways to Global Methane Mitigation: Regional and Sectoral Supply-Side Solutions","fulltext":[{"header":"Introduction","content":"\u003cp\u003eSince the Industrial Revolution, methane (CH\u003csub\u003e4\u003c/sub\u003e) is responsible for around 30% of global temperature increases \u0026ndash; about half of carbon dioxide\u0026rsquo;s contribution (IEA 2023). Moreover, its emissions have been increasing steadily since 1850, with emissions reaching double 1960 levels in 2020.[1] Currently, the main anthropogenic sources of methane emissions are agriculture (43%), fossil fuel production (38%), and the waste \u0026amp; wastewater sectors (19%) (EPA, 2019).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eMethane does not only represent a key contributor to climate change but also a key player in future mitigation pathways to limit the increase in global average temperature. According to the IPCC Special Report, timely and sizeable emissions reductions of methane are necessary to limit temperature increases to 1.5\u0026deg;C in the short term (IPCC, 2018). Furthermore, the 2021 Global Methane Assessment suggests that there are possible pathways to reduce emissions by 45% relative to 2020 levels by 2030, and this reduction constitutes a cost-effective contribution to meeting the 1.5\u0026deg;C target (UNEP CCAC 2021).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eIn response to the pressing need for methane mitigation, the US and EU launched the Global Methane Pledge (GMP) at the 2021 Conference of Parties to the United Nations Framework Convention on Climate Change (COP26) in Glasgow, a non-binding commitment to reduce global anthropogenic methane emissions at least 30% below 2020 levels by 2030. Since then, 160 nations representing about 50% of global methane emissions in 2020 have signed the pledge.[2] Interestingly, the GMP does not set specific targets for each signatory country; instead, it defines an aggregated goal, allowing greater flexibility in where and how methane reduction activities are implemented to achieve the common objective. On the other hand, the voluntary nature of the GMP and the partial participation of key methane emitters may necessitate clearer guidance on each country\u0026apos;s reduction potential and the associated costs to achieve the 30% goal in the short term, as well as to define long-term pathways beyond it.\u003c/p\u003e\n\u003cp\u003eHowever, the current trajectory tells a different story, with global CH\u003csub\u003e4\u0026nbsp;\u003c/sub\u003eemissions continuing to increase. \u0026nbsp;Recent estimates suggest that CH\u003csub\u003e4\u0026nbsp;\u003c/sub\u003eemissions are up about 3-5% from 2020 levels (Jones et al., 2024, Crippa et al., 2025). As the pledge does not include national-level targets, global cooperation is essential to identify and implement the lowest-cost mitigation actions across countries and sectors in order to meet such ambitious goals as cost-effectively as possible.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eMultiple studies agree that, at the global level, the fossil fuel sector offers the greatest mitigation potential, followed by waste and agriculture sectors (EPA 2019; UNEP CCAC 2021; Hoglund-Isaksson et al. 2020; Malley et al. 2023). However, each study outlines its own pathway, with methane emissions mitigated through various channels, particularly direct technical abatement options that aim to capture or reduce emissions at the source. These technical options exist across all three major methane-emitting sectors\u0026mdash;for example, administering anti-methanogenic vaccines to limit enteric fermentation in livestock (agriculture), diverting waste from landfills by increasing composting (waste), and capturing fugitive emissions from coal mines (energy). Second, through activities that reduce the demand for methane-intensive products and services\u0026mdash;for example, shifting diets to reduce the consumption of methane-intensive foods. Lastly, through CO₂-driven decarbonization actions, such as improvements in energy efficiency or changes in the energy mix, which indirectly reduce methane emissions associated with the extraction and consumption of fossil fuels.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThis study focuses exclusively on direct technical abatement activities\u0026mdash;supply-side measures\u0026mdash;as a central and sufficient component of the methane mitigation portfolio. While other channels such as demand reduction and indirect CO₂-driven actions also offer abatement potential, existing evidence shows that supply-side interventions alone can deliver substantial emissions reductions, particularly in the near term. For instance, Ou et al. (2021) show that under a 2\u0026deg;C scenario, up to 3.49 GtCO₂e of methane abatement could be achieved by 2050. Although indirect CO₂-driven decarbonization measures, such as fuel switching, contribute approximately 38% and 46% of methane abatement in the land and energy sectors respectively\u0026nbsp;(UNEP CCAC, 2021), these are not included in this analysis.\u003c/p\u003e\n\u003cp\u003eImportantly, even without accounting for these indirect measures, supply-side technical abatement remains a powerful and necessary lever\u0026mdash;one that can deliver significant progress toward Global Methane Pledge (GMP) targets. By focusing on technical abatement opportunities across the three major methane-emitting sectors, this study identifies the most cost-effective strategies for methane reduction at the regional level. We utilize data from the latest U.S. Environmental Protection Agency (EPA) assessment of non-CO₂ greenhouse gas emission projections and corresponding marginal abatement cost (MAC) curves (EPA, 2025). The analysis further highlights the sectoral and regional distribution of abatement options available at costs below $100 per tCO₂e, reinforcing the viability of supply-side strategies as a standalone pathway to meaningful methane reductions\u003c/p\u003e\n\u003cp\u003eWe believe this analysis will be valuable to a range of stakeholders. First, policymakers can use our findings to identify low-cost methane mitigation opportunities within their countries and develop roadmaps to meet their pledges at minimal cost. Second, the integrated assessment modeling (IAM) community can use the results to incorporate more consistent and regionally specific methane reduction pathways into their climate mitigation scenarios. Third, international agencies may find the analysis useful for assessing the feasibility of global methane pledges and evaluating the potential role of international finance in supporting the transition to a less methane-intensive future.\u003c/p\u003e\n\u003cp\u003e[1] Greenhouse gas emissions - Our World in Data, access on August 24, 2023.\u003c/p\u003e\n\u003cp\u003e[2] The updated list of signees is available here: https://www.globalmethanepledge.org/\u003c/p\u003e"},{"header":"Results","content":"\u003cp\u003eFuture projections show that the world is not on track to meet the global target of a 30% reduction in methane emissions under baseline markets and policies; direct mitigation actions are required (EPA 2025). In the absence of targeted mitigation actions, future methane emissions are projected to increase from 9,174 in 2020 to 9,697 M tCO\u003csub\u003e2\u003c/sub\u003ee in 2030 (+6%). The agriculture sector is expected to account for 43% of 2030 emissions, followed by 37% from the energy sector and 20% from waste. Compared to historical observations, the waste sector is expected to increase its relative contribution to global emissions, while energy and agriculture\u0026rsquo;s share of emissions are expected to drop slightly. At the country level, India is projected to have the largest total growth in methane emissions in the next decade, followed by China, Pakistan, and Indonesia. This is a slight deviation from historical trends, as from 1990 to 2020 China saw the greatest growth in methane emissions, followed by Brazil, India, and Iran. Moreover, GMP signatories accounted for 51% of 2020 emissions and are expected to maintain about the same proportion in 2030 in the BAU scenario. Among the countries that did not sign the GMP, China is expected to contribute 17% of global emissions in 2030, Russia 10%, and India 7%. \u0026nbsp;\u003c/p\u003e\n\u003cp\u003eIf fully implemented, direct CH\u003csub\u003e4\u003c/sub\u003e abatement activities could reduce emissions by 1,683 MtCO\u003csub\u003e2\u003c/sub\u003ee in 2030 for signatory countries \u0026ndash; equivalent to an 18% reduction of 2020 global levels. \u0026nbsp;If all countries contribute to the effort, the maximum abatement potential is 2,966 MtCO\u003csub\u003e2\u003c/sub\u003ee (about 27% reduction from 2020)[3]. This means that supply-side CH\u003csub\u003e4\u003c/sub\u003e mitigation measures could nearly meet the GMP alone, without relying on indirect CH\u003csub\u003e4\u003c/sub\u003e reductions from CO\u003csub\u003e2\u003c/sub\u003e decarbonization activities or decreases in the consumption of CH\u003csub\u003e4\u003c/sub\u003e-intensive goods and services. However, this may not be the most cost-effective approach, as demand-side abatement options could be cheaper. A combined strategy of supply- and demand-side measures is likely the most efficient path to achieving the GMP. Importantly, in the IPCC scenarios consistent with limiting global average temperature below 1.5\u0026deg;C (Rogelj et al. 2018; Climate Analytics 2021), CH\u003csub\u003e4\u003c/sub\u003e emissions decrease by 34% (range of 25-53%) relative to 2020 showing that both the maximum technology-driven potential and the GMP target are within the range that allows the world to stay in the 1.5\u0026deg;C pathway (\u003cstrong\u003eFigure 1\u003c/strong\u003e). \u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;The distribution of abatement across break-even price ranges indicates that about 2,389 MtCO\u003csub\u003e2\u003c/sub\u003ee (global) in mitigation could be achieved at a cost below 100 $/tCO\u003csub\u003e2\u003c/sub\u003ee, an additional 390 MtCO\u003csub\u003e2\u003c/sub\u003ee could be abated between 100 $/tCO\u003csub\u003e2\u003c/sub\u003ee and 500 $/tCO\u003csub\u003e2\u003c/sub\u003ee, while the rest of the abatement (187 MtCO\u003csub\u003e2\u003c/sub\u003ee) requires a dollar value on emissions above 500 $/tCO\u003csub\u003e2\u003c/sub\u003ee. This study focuses on abatement opportunities below $100 per ton\u0026mdash;referred to as \u0026ldquo;low-cost abatement\u0026rdquo; throughout the paper\u0026mdash;since these measures account for over two-thirds of the GMP target and costs increase steeply beyond this threshold.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eAt the country level, achieving the least-cost methane mitigation potential requires action from both signatories and non-signatories of GMP. The regional distribution of low-cost abatement opportunities is heterogenous with the largest quantity of abatement potential available in the East Asia \u0026amp; Pacific region (36.0%) followed by Europe and Central Asia (17.0%), Middle East \u0026amp; North Africa (13.3%), Latin America \u0026amp; Caribbean (9.5%), North America (8.1%), Sub-Saharan Africa (6.3%), and South Asia (9.8%) (\u003cstrong\u003eFigure 2\u003c/strong\u003e).\u0026nbsp;This abatement is relatively evenly split between signatory and non-signatory countries, with 53% coming from signee countries (1,269 MtCO\u003csub\u003e2\u003c/sub\u003ee), and 47% coming from non-signatories (1,120 MtCO\u003csub\u003e2\u003c/sub\u003ee). Aggregating by the World Bank\u0026rsquo;s income classification[4], only 4% of the potential is in low-income countries (LICs), 32% in lower middle-income countries (LMICs), 44% is in upper middle-income countries (UMICs) and 20% is in high-income countries (HICs). Abatement is very small across LICs in energy and agriculture, while countries across the income distribution show relatively high abatement potential in the waste sector (\u003cstrong\u003eFigure 3 and Tables S3\u003c/strong\u003e). Abatement options in the waste sector, specifically from landfill methane capture options, offer the largest low-cost abatement in sub-Saharan Africa, Latin America \u0026amp; Caribbean, and South Asia (\u003cstrong\u003esee Figure 2\u003c/strong\u003e). Regions with strong energy sectors, such as East Asia \u0026amp; the Pacific, Europe and Central Asia, Middle East \u0026amp; North Africa, and North America, have the greatest low-cost abatement options in the energy sector, primarily in oil and natural gas-related operations. The exception to that is China, which has enormous abatement potential in the coal sector. Over 14% of the world\u0026rsquo;s low-cost abatement potential is from China\u0026rsquo;s coal sector.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eIn the coal mining industry, specifically in underground mines, like many in China and to a lesser extent in other coal mining countries, ventilation air methane (VAM) is the largest source of methane emissions (EPA, 2019c). Recovering the methane instead of releasing it into the atmosphere provides a low-cost, and sometimes cost-effective (profitable), option as recovered methane can be used as an energy resource. Options include injecting the captured methane into natural gas pipelines to be transported or for on-site electricity and/or heat\u0026nbsp;generation. VAM capture in China covers 10% of the world\u0026rsquo;s low-cost abatement options.\u0026nbsp;Similar VAM technology could abate significant CH\u003csub\u003e4\u003c/sub\u003e emissions in Russia\u0026rsquo;s coal mining industry as well (about 2% of world\u0026rsquo;s low-cost abatement). In other fossil-fuel producing regions, most mitigation potential comes from the oil \u0026amp; gas sectors.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe Middle East \u0026amp; North Africa and Europe and Central Asia account for the most mitigation potential in the oil \u0026amp; gas sector; however, the United States holds enormous mitigation potential as well. Abatement activities in the Middle East and North Africa and Europe and Central Asia (primarily Russia) revolve around monitoring and limiting fugitive methane emissions from oil and gas operations. The next highest mitigation potential is in the United States, where the top mitigation options include installing catalytic converters on gas engines and turbines and a handful of leak monitoring options to limit fugitive emissions.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe waste sector holds the next most potential for low-cost abatement at the global level, with 653 and 96 MtCO\u003csub\u003e2\u003c/sub\u003ee abatable for under 100 $/tCO\u003csub\u003e2\u003c/sub\u003ee in the solid waste and wastewater industries, respectively.\u003c/p\u003e\n\u003cp\u003eIn this sector there is abatement potential across world regions, including in many lower income countries, unlike the energy sector. In Sub Saharan Africa, Latin America and the Caribbean, and South Asia, abatement measures in solid waste and wastewater management provide the greatest potential for low-cost abatement. Solid waste measures with the greatest potential for abatement include installation of anaerobic digestion and mechanical biological treatment facilities which are controlled waste management facilities that can capture the methane produced from decomposition of organic matter and utilize it, instead of the methane releasing into the atmosphere. Other measures divert organic waste from landfills \u0026ndash; such as recycling and composting \u0026ndash; to decrease the amount of decomposition taking place in anaerobic conditions. In regions with well-developed landfill sectors, like North America and Europe and Central Asia, the greatest reduction potential comes from capturing methane emissions in the form of landfill gas either for flaring or electricity generation. Landfill and wastewater mitigation measures, their low-cost potential, and countries with the most mitigation potential are shown in \u003cstrong\u003eTable S2\u003c/strong\u003e.\u003c/p\u003e\n\u003cp\u003eOn the other hand, the wastewater sector represents a much smaller proportion of low-cost mitigation and most of the potential is in places where rapid urbanization has taken place without development of advanced wastewater treatment (\u003cstrong\u003eFigures 2 \u0026amp; 3\u003c/strong\u003e). In this case, the primary mitigation measure is converting open sewers to aerobic wastewater treatment plants mainly in Indonesia, Brazil, Bangladesh, India, and China. Separately, wastewater abatement measures tend to have health and environmental co-benefits as wastewater treatment is improved but these co-benefits are not measured in the analysis.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eDespite having the greatest share of BAU anthropogenic methane emissions in 2030, agriculture has the least low-cost mitigation potential, largely due to barriers to adoption of mitigation strategies in extensive agricultural systems. This differs from the waste and energy sectors in which emissions are typically centralized, offering more opportunity to control emissions directly with technologies. In total, 503 MtCO\u003csub\u003e2\u003c/sub\u003ee (21% of total low-cost abatement) is achievable at a cost below $100/tCO\u003csub\u003e2\u003c/sub\u003ee, just over half of which comes from livestock mitigation measures and the rest from changes in rice cropping systems (\u003cstrong\u003eTable S1\u003c/strong\u003e). At the global level, the top abatement measure for livestock is administering antimethanogen vaccines that limit methanogen activity and reduce methane production from enteric fermentation, holding the potential to abate 59.5 MtCO\u003csub\u003e2\u003c/sub\u003ee in 2030. USA, China, Brazil, Nigeria, India, and Pakistan have the largest potential from this measure, accounting for half of the total global estimates. Another promising mitigation measure is provision of propionate precursors, feed supplements that limit the production of methane in the rumen of livestock, accounting for 33MtCO\u003csub\u003e2\u003c/sub\u003ee globally. The countries with the most potential include the USA, Brazil, India, China, and Pakistan. In agriculture outside of livestock there are abatement options available for rice cultivation, with over 80% of the abatement opportunities coming from East Asia and South Asia (\u003cstrong\u003eFigure 2\u003c/strong\u003e \u0026amp; \u003cstrong\u003eTable S1\u003c/strong\u003e). There are three key methane mitigation options for rice: alternate wetting and drying, dry-seeding, and midseason drainage of rice paddies. All three activities are water-management practices that reduce anaerobic conditions in rice paddies that foster the growth of methane-producing microbes.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e[3] Note that abatement is measured in this case as reductions from 2030 business as usual projections, yet the GMP target is measured as a percentage below 2020 levels. For instance, a 2,966 MtCO\u003csub\u003e2\u003c/sub\u003ee reduction in 2030 from 2030 projected levels is only 2,443 MtCO\u003csub\u003e2\u003c/sub\u003ee below 2020 emissions of 9,174 MtCO\u003csub\u003e2\u003c/sub\u003ee, or about 27% lower.\u003c/p\u003e\n\u003cp\u003e[4] World Bank Country and Lending Groups (https://datahelpdesk.worldbank.org/knowledgebase/articles/906519-world-bank-country-and-lending-groups)\u003c/p\u003e"},{"header":"Discussion and Conclusion","content":"\u003cp\u003eThis study presents low-cost mitigation strategies that can support progress toward the global goal of reducing methane emissions by 30% by 2030. Results show that achieving this target within the remaining years will require strong international cooperation and the implementation of targeted methane abatement measures across key sectors: energy, waste, and agriculture.\u003c/p\u003e\n\u003cp\u003eThe sector with about half of the total low-cost mitigation potential is the energy sector, followed by waste and agriculture supporting similar results found in the literature (IPCC, 2022; IEA, 2023). While technologies vary globally, the lowest hanging fruit for low-cost methane abatement is through elimination or capture of fugitive emissions in fossil fuel operations, especially in advanced economies with strong energy industries. However, to reach such an ambitious goal the world needs to actively reduce emissions in all sectors, and there are significant low-cost abatement options in the waste sector in all regions of the world. In the agricultural sector, enteric fermentation from livestock presents the largest remaining bottleneck to mitigating methane emissions as it contributes to one third of all emissions and has relatively few feasible mitigation options at low cost, as reported in other studies (e.g., Harmsen et al. 2019; IPCC 2022). There are new feed additives developed in recent years, such as those made from certain species of red algae (e.g., \u003cem\u003eAsparagopsis taxiformis\u003c/em\u003e) or 3-Nitrooxypropanol (3-NOP) to reduce methane emissions from enteric fermentation in livestock that have been shown to be effective in experimental settings. New to the EPA data in the 2025 update, these options have been included, increasing the potential abatement estimated for the livestock sector. However, mitigation available from these feed additives by 2030 is limited because there remain substantial barriers to their large-scale adoption in the near-term (Brooke et al., 2020; Wasson et al., 2022; Ceh et al., 2021; Melgar et al., 2021).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eSeparately, indirect emissions reduction measures that are not considered in this study are indeed a key complement to achieving the pledge. Activities such as displacing fossil fuel production with renewable energy, increasing residential and commercial energy efficiency, reducing food loss, and shifting diets can help achieve the GMP target by reducing methane emissions either through changes on the demand of methane-intensive products or as a co-benefit of CO\u003csub\u003e2\u003c/sub\u003e-abatement activities (UNEP CCAC 2021; Climate Works, 2023; Ou et al., 2021).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThis \u003cstrong\u003eroadmap of methane abatement opportunities\u003c/strong\u003e\u0026mdash;across countries, sectors, and key technological options\u0026mdash;can serve as a valuable tool for countries joining the \u003cstrong\u003eGMP\u003c/strong\u003e, helping them align their contributions with domestic policies and mitigation potential (See \u003cstrong\u003eTable S4\u003c/strong\u003e).\u003c/p\u003e\n\u003cp\u003eRecently, Azerbaijan, Tajikistan, Guatemala, and Madagascar joined the GMP, increasing the number of signees to 160 and increasing the share of global low-cost abatement from signatory countries to 53%.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eIn addition, non-signatory countries that commit to reduce methane emissions through domestic policies could use the results to assess the cost-effective mix of abatement strategies and prioritize investments in activities with the expected largest return. Malley et al. (2023) found that 23% of methane-related mitigation actions presented in the global NDCs came from non-signatory countries and China has committed to include methane in its next NDC.[5]\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eAs initiatives to fund methane abatement globally gain traction, such as the Global Methane Hub[6] and the $1 billion in new grant funding for methane action from GMP partners[7], the findings presented in this analysis could help identify key mitigation strategies in low-income countries that could benefit from international financial support and pave the way to reaching the GMP goal. In LICs, the greatest low-cost methane mitigation can be achieved through measures in the solid waste sector. In LMICs, solid waste and oil \u0026amp; gas lead the way with the most low-cost abatement potential. Measures in the waste sector that can achieve the greatest abatement come from landfill or landfill diversion measures, such as waste-to-energy facilities, mechanical biological treatment, recycling, anaerobic digestion, composting, and electricity generation or flaring of landfill gas, in places that have established landfills. The most potential for these activities in LMICs is in Pakistan, Indonesia, Egypt, Algeria, India, Nigeria and in LICS in DRC, Syria, and Mozambique. Finally, high methane emitting companies could find the results presented in this study a good benchmark for their voluntary pledges and estimated costs. During COP 28, 50 oil and gas companies (including ExxonMobil, Shell, and BP) totaling about 40% of global production pledged to reduce methane emissions to \u0026ldquo;near zero\u0026rdquo; by 2030 focusing on eliminating methane leaks and stopping flaring.[8]\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eSeveral limitations of this study should be acknowledged and addressed in future research to enhance the accuracy and applicability of the findings.\u003c/p\u003e\n\u003cp\u003eFirst, Marginal Abatement Cost (MAC) curves represent the average economic potential of mitigation technologies within a sector. They are based on the assumption that if a mitigation technology is technically feasible in a given country, it will be implemented according to the relevant economic conditions. Consequently, MAC curves do not fully capture the market potential, social acceptance, or political feasibility of a technology, all of which can constrain the implementation of one or more mitigation options.\u003c/p\u003e\n\u003cp\u003eIn addition, no assumptions have been made regarding a policy environment that might favor specific mitigation strategies, which could potentially reduce costs or accelerate adoption. In practice, targeted policies\u0026mdash;such as subsidies, carbon pricing, or regulatory incentives\u0026mdash;can significantly influence the relative attractiveness and economic feasibility of different mitigation options. By not including these policy factors, the analysis focuses on a neutral scenario, providing a baseline assessment of mitigation strategies without policy-driven distortions.\u003c/p\u003e\n\u003cp\u003eMoreover, the models used in this analysis are static. They do not account for the dynamic adoption of mitigation technologies over time, meaning gradual improvements in efficiency, learning effects, or shifts in technology deployment patterns are not captured. The models also do not consider competition for limited resources\u0026mdash;such as land, labor, or raw materials\u0026mdash;nor do they incorporate broader market dynamics, including price feedbacks, substitution effects, or cross-sector interactions. These limitations could affect the relative costs and effectiveness of mitigation strategies over longer time horizons. However, because the analysis is focused on the near term\u0026mdash;through 2030\u0026mdash;these dynamic effects and market interactions are unlikely to substantially influence the key findings. Over this relatively short period, the primary drivers of outcomes are the inherent characteristics and costs of the mitigation options themselves, rather than broader economic or market adjustments.\u003cstrong\u003e\u003cbr\u003e\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003e[5] Q\u0026amp;A: What does China\u0026rsquo;s new methane plan mean for its climate goals? - Carbon Brief\u003c/p\u003e\n\u003cp\u003e[6] Global Methane Hub - Fighting to reducing methane emissions worldwide.\u003c/p\u003e\n\u003cp\u003e[7] 2023 Global Methane Pledge Ministerial: decisive action to curb emissions - European Commission (europa.eu)\u003c/p\u003e\n\u003cp\u003e[8] Oil \u0026amp; Gas Decarbonization Charter launched to accelerate climate action (cop28.com)\u003c/p\u003e"},{"header":"Methods","content":"\u003cp\u003eThis study develops the baseline CH\u003csub\u003e4\u003c/sub\u003e emissions and the CH\u003csub\u003e4\u003c/sub\u003e Marginal Abatement Cost (MAC) curves using the data from the 2025 EPA non-CO\u003csub\u003e2\u003c/sub\u003e emissions projections and mitigation Report (EPA 2025). For more detailed description of the methodology see EPA\u0026rsquo;s Non-CO\u003csub\u003e2\u003c/sub\u003e Methodology Report, which was last updated in 2019 though the 2025 dataset follows a similar approach (EPA 2019b).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eBaseline.\u0026nbsp;\u003c/strong\u003eFor each sector, country-specific baseline projections of key activity drivers influencing CH\u003csub\u003e4\u003c/sub\u003e emissions (e.g., livestock populations, area of paddy rice cultivated, population and per capita generation of solid waste, natural gas production, quantity of coal mined) and associated CH\u003csub\u003e4\u0026nbsp;\u003c/sub\u003eemissions for the years 2015 through 2050 are elaborated. The data sources used to generate baseline emissions varied across the three sources: energy, waste and agriculture.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe general approach used for projecting future emissions uses a combination of publicly available emission estimates from nationally prepared GHG reports with the EPA-estimated emissions consistent with the \u003cem\u003eRevised 1996 IPCC Guidelines for National Greenhouse Gas Inventories\u0026nbsp;\u003c/em\u003e(1996 IPCC Guidelines) (IPCC, 1997), the \u003cem\u003eIPCC Good Practice Guidance and Uncertainty Management in National Greenhouse Gas Inventories\u0026nbsp;\u003c/em\u003e(IPCC Good Practice Guidance) (IPCC, 2000), and the 2006 \u003cem\u003eIPCC Guidelines for National Greenhouse Gas Inventories\u0026nbsp;\u003c/em\u003e(2006 IPCC Guidelines) (IPCC, 2006). For Annex 1 (A1) countries, the primary source of data is the National Inventories Common Reporting Format (CRF) files reported to the UNFCCC (UNFCCC, 2018a). For Non-Annex 1 (Non-A1) countries, the primary source of data is the UNFCCC flexible query system (UNFCCC, 2016). Moreover, to project emissions, the analysis uses drivers based on globally available growth rates or activity data specific to each source (see EPA, 2019b for additional detail). Although the baseline generally does not explicitly model emission reduction policies undertaken by individual countries, and the default IPCC factors typically reflect uncontrolled emissions, the composite emission projections do include historical emission reductions. To the extent that emission reductions are reflected in country-reported base year data, those rates are used throughout the projection time series. Thus, the degree to which reductions are included in a particular estimate corresponds to the extent to which reductions are reflected in country-reported data.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eMitigation.\u0026nbsp;\u003c/strong\u003eMethane mitigation options discussed in this study are represented as emissions reductions from regional baseline projections described above. For each mitigation option within each sector, its technical effectiveness (TE) measures percentage reduction in baseline emissions that can be achieved with its adoption, and it is calculated by multiplying the option\u0026rsquo;s technical applicability (TA) by its market share (MS) and its reduction efficiency (RE) as presented in Eq. 1. Technical applicability accounts for the portion of emissions from a facility or region that a mitigation option could feasibly reduce based on its application. The implied market share of an option is a mathematical adjustment for other qualitative factors that may influence the effectiveness or adoption of a mitigation option. The market shares, determined by various sector-specific methods, are assumed to sum to one for each sector and were assumed constant over time.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cimg 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\"\u003e\u003c/p\u003e\n\u003cp\u003eOnce the technical effectiveness of an option was calculated as described in [1], this percentage is multiplied by the baseline emissions (BE) for each sector and region to calculate the absolute amount of emissions reduced by employing the option (ER). This calculation yields the percentage of baseline emissions that can be reduced at the national or regional level by a given option and it is measured in tons of carbon dioxide equivalent (tCO\u003csub\u003e2\u003c/sub\u003ee) following equation [2].\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cimg src=\"data:image/png;base64,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\"\u003e\u003c/p\u003e\n\u003cp\u003eThe MAC curves focus only on direct mitigation measures from technologies and changes in practices on the supply side. They do not include mitigation options in the demand side such as reductions in the demand of methane intensive products.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eBreakeven price.\u0026nbsp;\u003c/strong\u003eEach CH\u003csub\u003e4\u003c/sub\u003e abatement option is characterized in terms of its costs and benefits per an abated unit (ER). The benefits include a carbon value/price expressed as $/tCO\u003csub\u003e2\u003c/sub\u003ee. The carbon price at which the benefits of one mitigation option equal its costs is referred to as the option\u0026rsquo;s break-even price.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eSpecifically, for each mitigation option \u003cem\u003ei,\u003c/em\u003e the carbon price (\u003cem\u003eP\u003c/em\u003e) at which that option becomes economically viable was calculated using the equation [3] where the present value of the benefits of the economic activity and the mitigation action (left side of equation 3) equals the present value of the costs of implementing the mitigation option (right side of equation 3). In most cases, the abatement of CH\u003csub\u003e4\u003c/sub\u003e has two price signals: one price based on recovered CH\u003csub\u003e4\u003c/sub\u003e\u0026rsquo;s value when sold as energy (because natural gas is between 90% and 98% CH\u003csub\u003e4\u003c/sub\u003e) and one price based on CH\u003csub\u003e4\u003c/sub\u003e\u0026rsquo;s value as a GHG[9]. All cost and benefit values are expressed in constant-year 2015 U.S. dollars.\u003c/p\u003e\n\u003cp\u003e\u003cimg 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\"\u003e\u003c/p\u003e\n\u003cp\u003eCosts and benefits of abatement options were adjusted to reflect regional prices. Wages and prices vary by country. Hence, recurring O\u0026amp;M costs were segmented into labor, energy, and materials costs. Material cost components ranged from materials and supplies in the industrial and energy sectors to fertilizer costs in the agricultural sectors\u0026mdash;all of which are likely to vary by region. One-time capital costs were assumed to be relatively stable across regions and were not adjusted from country to country.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eMAC curves.\u0026nbsp;\u003c/strong\u003eThe CH\u003csub\u003e4\u003c/sub\u003e MAC curves were constructed using a bottom-up average break-even price calculation. Specifically, the average break-even price was calculated for the estimated abatement potential for each CH\u003csub\u003e4\u003c/sub\u003e mitigation option, then the options were ordered in ascending order of break-even price (cost) and plotted against abatement potential. The resulting MAC curve is a stepwise function because each point on the curve represents the break-even price point for a discrete mitigation option.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eMoreover, the curve becomes vertical at the point of maximum total abatement potential, which is the sum of all technically feasible abatement options in a sector or region. At this point, no additional price could drive more emission reductions. Finally, the points on the MAC curve that appear at or below the zero-cost line ($0/tCO\u003csub\u003e2\u003c/sub\u003ee) illustrate potential savings; however, monetary and nonmonetary barriers may prevent their adoption as in the case of investments in low carbon technologies (Gillingham et al. 2012).\u003c/p\u003e\n\u003cp\u003eSince the focus of this study is only on CH\u003csub\u003e4\u003c/sub\u003e emissions, it does not consider mitigation activities targeting other gases that are likely to increase methane emissions, such as the application of nitrification inhibitors alongside nitrogen fertilizer application, which decreases NO\u003csub\u003e2\u003c/sub\u003e emissions but slightly increase methane emissions. This may cause methane mitigation values to look slightly different than past aggregate non-CO\u003csub\u003e2\u003c/sub\u003e abatement estimates using the same data, especially in the croplands sector.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e[9] In addition, some mitigation options may increase or decrease production costs and/or affect productivity. These impacts are accounted for by adjusting the revenue and/or recurring costs associated with each option to reflect the net changes associated with each mitigation option. For instance, in the case of livestock enteric fermentation, some options for mitigating methane reduce the amount of dietary energy converted to methane in the rumen and increase the amount of dietary energy available for the animal\u0026rsquo;s nutrition. This results in more efficient production of milk and meat, providing higher revenue and/or lower input costs per head, \u0026nbsp;increasing net revenue from livestock production and reducing the net cost associated with those mitigation options. \u0026nbsp;\u0026nbsp;\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eData availability\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe results data generated in this study are publicly available on the EPAs website: Global Non-CO2 Greenhouse Gas Emission Projections \u0026amp; Mitigation Potential: 2020-2080 | US EPA\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAcknowledgements:\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eFunding: This work was supported by the U.S. Environmental Protection Agency (EPA) (Contract #68HERH19D0030, Call Order #68HERH23F0146). The views expressed in this article are those of the authors.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor contributions\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eA.F., R.B., J.P., and C.M. conceived of the study. C.M. reviewed previous relevant literature. A.F. and R.B. led the scenario design. S.L. ran the MAC curves Non-CO\u003csub\u003e2\u003c/sub\u003e code model and prepared all of the results figures. A.F. and C.M. wrote the manuscript, with contributions from R.B. and J.P. All authors reviewed and signed off on the final version of the study. \u0026nbsp;\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eCompeting interests\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors declare no competing interests.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAdditional information\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe online version contains supplementary material.\u003cstrong\u003e\u003cbr\u003e\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eBrooke, C. G., Roque, B. M., Shaw, C., Najafi, N., Gonzalez, M., Pfefferlen, A., De Anda, V., Ginsburg, D. W., Harden, M. C., Nuzhdin, S. V., Salwen, J. K., Kebreab, E., \u0026amp; Hess, M. (2020). Methane Reduction Potential Of Two Pacific Coast Macroalgae During In Vitro Ruminant Fermentation. \u003cem\u003eMarine Biotechnology And Bioproducts\u003c/em\u003e. 7.\u003c/li\u003e\n\u003cli\u003eCeh, J. (2021). 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Contribution of Working Group III to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change\u003c/em\u003e ed P R Shukla, J Skea, R Slade, A A Khourdajie and R van Di\u003c/li\u003e\n\u003cli\u003eJones, Matthew W., Glen P. Peters, Thomas Gasser, Robbie M. Andrew, Clemens Schwingshackl, Johannes G\u0026uuml;tschow, Richard A. Houghton, Pierre Friedlingstein, Julia Pongratz, and Corinne Le Qu\u0026eacute;r\u0026eacute;. \u0026ldquo;National Contributions to Climate Change Due to Historical Emissions of Carbon Dioxide, Methane and Nitrous Oxide\u0026rdquo;. Scientific Data. Zenodo, November 13, 2024. https://doi.org/10.5281/zenodo.14054503.\u003c/li\u003e\n\u003cli\u003eMalley, C.S., Borgford-Parnell, N., Haeussling, S., Howard, I.C., Lef\u0026egrave;vre, E.N. and Kuylenstierna, J.C., 2023. A roadmap to achieve the global methane pledge. Environmental Research: Climate, 2(1), p.011003.\u003c/li\u003e\n\u003cli\u003eMelgar, A., C. F. A. Lage, K. Nedelkov, S. E. 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(2019). \u0026ldquo;Inclusion of \u003cem\u003eAsparagopsis armata \u003c/em\u003ein lactating dairy cows\u0026rsquo; diet reduces enteric methane emission by over 50 percent,\u0026rdquo; \u003cem\u003eJournal of Cleaner Production\u003c/em\u003e. 234, 132-138. \u003c/li\u003e\n\u003cli\u003eU.S. Department of State (2022), U.S.-EU Joint Press Release on the Global Methane Pledge Energy Pathway, Washington DC. https://www.state.gov/u-s-eu-joint-press-release-on-the-global-methane-pledge-energy-pathway/ \u003c/li\u003e\n\u003cli\u003eU.S. Environmental Protection Agency (EPA). 2019a. Global Non-CO2 Greenhouse Gas Emissions Projections \u0026amp; Mitigation: 2015-2050. EPA-430-R-19-010. https://www.epa.gov/sites/default/files/2019-09/documents/epa_non-co2_greenhouse_gases_rpt-epa430r19010.pdf \u003c/li\u003e\n\u003cli\u003eU.S. Environmental Protection Agency (EPA). 2025. Global Non-CO2 Greenhouse Gas Emissions Projections \u0026amp; Mitigation: 2015-2050. EPA-430-R-19-010. https://www.epa.gov/sites/default/files/2019-09/documents/epa_non-co2_greenhouse_gases_rpt-epa430r19010.pdf \u003c/li\u003e\n\u003cli\u003eU.S. Environmental Protection Agency (EPA). 2019b. Global Non-CO2 Greenhouse Gas Emission Projections \u0026amp; Marginal Abatement Cost Analysis: Methodology Documentation. EPA-430-R-19-012. https://www.epa.gov/sites/default/files/2019-09/documents/nonco2_methodology_report.pdf \u003c/li\u003e\n\u003cli\u003eU.S. Environmental Protection Agency (EPA). 2019c. Ventilation Air Methane (VAM) Utilization Technologies. EPA-430-F-19-023. epa.gov/sites/default/files/2019-11/documents/vam_technologies.pdf\u003c/li\u003e\n\u003cli\u003eUnited Nations Environment Programme and Climate and Clean Air Coalition (2021). Global Methane Assessment: Benefits and Costs of Mitigating Methane Emissions. Nairobi: United Nations Environment Programme. https://www.ccacoalition.org/sites/default/files/resources//2021_Global-Methane_Assessment_full_0.pdf \u003c/li\u003e\n\u003cli\u003eUnited Nations Framework Convention on Climate Change. 2016. United Nations Framework Convention on Climate Change Flexible GHG Data Queries. Online Database. Available online at http://unfccc.int/di/FlexibleQueries/Setup.do \u003c/li\u003e\n\u003cli\u003eUnited Nations Framework Convention on Climate Change. 2018a. 2018 Annex I Party GHG Inventory Submissions to the UNFCCC. CRF Data Files. Available online at https://unfccc.int/process-and-meetings/transparency-and-reporting/reporting-and-review-under-the-convention/greenhouse-gas-inventories-annex-i-parties/national-inventory-submissions-2018 \u003c/li\u003e\n\u003cli\u003eVijn, S., Compart, D. P., Dutta, N., Foukis, A., Hess, M., Hristov, A. N., Kalscheur, K. F., Kebreab, E., Nuzhdin, S. V., Price, N. N., Sun, Y., Tricario, J. M., Turzillo, A., Weisbjerg, M. R., Yarish, C., \u0026amp; Kurt, T. D. (2020). Key considerations for the use of seaweed to reduce enteric methane emissions from cattle. Frontiers in Veterinary Science. 7. https://www.frontiersin.org/articles/10.3389/fvets.2020.597430/full\u003c/li\u003e\n\u003cli\u003eWasson, D. E., Yarish, C., \u0026amp; Hristov, A. N. (2022). Enteric methane mitigation through Asparagopsis taxiformis supplementation and potential algal alternatives. Frontiers in Animal Science, 3. https://doi.org/10.3389/fanim.2022.999338\u003c/li\u003e\n\u003cli\u003eWhite House Office of Domestic Climate Policy 2021 US methane emissions reduction action plan: critical and commonsense steps to cut pollution and consumer costs, while boosting good-paying jobs and american competitiveness (The White House Office of Domestic Climate Policy Document) \u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-8099998/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8099998/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn 2021, the US and EU launched the Global Methane Pledge aiming to reduce emissions by 30% below 2020 levels by 2030 (about 2,985 MtCO\u003csub\u003e2\u003c/sub\u003ee). Since its launch, 160 countries have joined the initiative. \u0026nbsp;With less than five years remaining to achieve this target—and despite evolving political landscapes and shifting national priorities—identifying cost-effective mitigation strategies remains critically important. Given the considerable variation in methane abatement potential and costs across countries and sectors, a disaggregated global assessment is essential. This study focuses on direct methane abatement activities as a key component of the mitigation portfolio. Results indicate that 73% of the Pledge (about 2,400 MtCO\u003csub\u003e2\u003c/sub\u003ee) can be achieved through technological interventions costing less than 100$/tCO\u003csub\u003e2\u003c/sub\u003ee by 2030, with the energy sector offering the largest potential. These findings underscore the feasibility of targeted technological action and highlight the regional differences in abatement potential that shape progress toward global methane reduction goals within the remaining timeframe.\u003c/p\u003e","manuscriptTitle":"Pathways to Global Methane Mitigation: Regional and Sectoral Supply-Side Solutions","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-28 12:52:07","doi":"10.21203/rs.3.rs-8099998/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"3adb8d15-567a-4181-b4c9-06b0c9c87a11","owner":[],"postedDate":"November 28th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":58644415,"name":"Earth and environmental sciences/Climate sciences"},{"id":58644416,"name":"Earth and environmental sciences/Environmental sciences"},{"id":58644417,"name":"Earth and environmental sciences/Environmental social sciences"},{"id":58644418,"name":"Scientific community and society/Social sciences"}],"tags":[],"updatedAt":"2026-01-30T19:53:21+00:00","versionOfRecord":[],"versionCreatedAt":"2025-11-28 12:52:07","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8099998","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8099998","identity":"rs-8099998","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}