Paris-compatible national CO2 budgets

Page 1 / 7 Wolfsteiner/Wittmann ● www.save-the-climate.info ● DOI 10.5281/zenodo.5837866 ● tool is published on zenodo Explicit and implicit weighting of the population in the allocation of a global CO2 budget National CO2 budgets for all countries in the world Content Weighting model ............................................................................................................................................ 2 Explicit Weighting Population ........................................................................................................................ 2 Emission paths and further information ........................................................................................................ 2 Implicit Weighting Population (IWP) .............................................................................................................. 3 Database used in this tool .............................................................................................................................. 4 EDGAR......................................................................................................................................................... 4 EEA .............................................................................................................................................................. 4 UBA ............................................................................................................................................................. 4 GCP ............................................................................................................................................................. 4 Global budgets............................................................................................................................................ 5 Formulas for linear emission paths ................................................................................................................ 5 References ...................................................................................................................................................... 6 Page 2 / 7 Weighting model The tool is based on the distribution of a global CO2 budget using a weighted distribution key. The weighted distribution key takes into account the share of the global population and the share of global emissions of the selected country in a base year (BY): 𝐵𝑖=(𝑪∗𝑃𝐵𝑌 𝑖 𝑃𝐵𝑌 +(1−𝑪)∗𝐸𝐵𝑌 𝑖 𝐸𝐵𝑌)∗𝑩 where 𝑩 𝑜𝑟 𝐵𝑖 global CO2 budget or national CO2 budget of the country i 𝐸𝐵𝑌 𝑜𝑟 𝐸𝐵𝑌 𝑖 global emissions or emissions of country i in the base year (BY) 𝑃𝐵𝑌 𝑜𝑟 𝑃𝐵𝑌 𝑖 global population or population of country i in the base year (BY) 𝑪 weighting of the population This distribution key can thus map the two most important factors: 1 • current reality • climate justice You specify the remaining global CO2 budget (B) from and including 2020 in the ‘base data global budget’ sheet. Explicit Weighting Population With this tool, national CO2 budgets can be calculated for any country in the world by explicitly specifying the population weighting. You specify the weighting of the population (C) in the ‘all countries EDGAR’, ‘EU EEA’ or ‘GER UBA’ sheets. The national budgets (𝐵𝑖) from 2020 on are given with a distribution of the global budget from and including 2016 (BY = 2016) and from and including 2020 (BY = 2019). 2 See also our simplified web app for calculating Paris-compatible national CO2 budgets and corresponding linear emission paths: http://national-budgets.climate-calculator.info. Emission paths and further information With our web app http://paths.climate-calculator.info or the corresponding Excel tool (Wolfsteiner & Wittmann, 2025a), emission paths can be derived from these national budgets. To determine the paths, six scenario types are offered there that cover the entire range of plausible possibilities, including the possibility of a temporary overshoot (Wolfsteiner & Wittmann, 2024). The data required in the web app and in the Excel tool are provided in the ‘Data export’ sheet. 1 For further possible criteria, see the corresponding excursus in (Sargl, et al., 2025b). For a comparison of Resource Sharing Models, see: (Sargl, et al., 2024). For examples of how this weighting model is applied, see: (Sargl, et al., 2025a; Sargl, et al., 2025b). 2 A distribution from 2016 is offered, as the German Advisory Council on the Environment, for example, is in favour of this (cf. German Advisory Council on the environment (SRU), 2020). A distribution from 2020 onwards is recommended, as this date has long been discussed as a necessary turning point for global CO2 emissions. Page 3 / 7 We would also like to point out our Excel tool "ESPM", which can be used to calculate budgets and paths (Wolfsteiner & Wittmann, 2025b). The ‘graphs EDGAR’ sheet shows the results for the six major emitters, while the ‘PDF results’ sheet shows the results for all countries in the world. Implicit Weighting Population (IWP) Given a national and a global budget, the implicit weighting of the population can be calculated: 𝐶= 𝐵𝑖−𝐵∗𝐸𝐵𝑌 𝑖 𝐸𝐵𝑌 𝐵∗(𝑃𝐵𝑌 𝑖 𝑃𝐵𝑌 −𝐸𝐵𝑌 𝑖 𝐸𝐵𝑌)=IWP The national budget can be derived, for example, from an NDC or national climate change legislation (cf. Wolfsteiner, 2025). The IWP can thus be used to evaluate national targets. The base year is 2019 and the budget period is 2020 - 2100 when calculating the implicit weighting. When calculating the IWP, care must be taken to ensure that the content of the national CO2 budget used matches the global CO2 budget used. The IWP can also be calculated for any country in the world using this web app: http://ib-iwp.climate-calculator.info Page 4 / 7 Database used in this tool EDGAR With the EDGAR database, the EU provides the emissions of all countries in the world due to the use of fossil fuels (excluding international shipping and aviation; ISA) and cement production (EDGAR, 2025). Budgets are reserved here at global level for the missing emissions ISA and land use change (LUC). The corresponding entries are made in the "base data global budget" sheet. Population figures were calculated from the data on per capita emissions on EDGAR. EEA For the EU and the EU Members, data from the European Environment Agency (EEA) can also be accessed (EEA, 2025), which provides total CO2 emissions including land use, land use change and forestry (LULUCF) and ISA (sales principle). Two options are offered for calculating the share of the EU or EU member states in global emissions: 1. Global Carbon Project (GCP, 2025) GCP reports CO2 emissions from land use change (LUC) instead of LULUCF. Accordingly, the simplifying assumption is made here that LULUCF = LUC. 2. EDGAR (EDGAR, 2025) EDGAR does not provide LULUCF emissions at the country level, but it does provide them for macro-regions. From this, global LULUCF CO2 emissions can be derived. These can be added to the global CO2 emissions from the use of fossil fuels and cement production according to EDGAR to obtain the global CO2 emissions, which are the basis here for the shares of the individual EU members and the EU respectively. The ‘base data global budget’ sheet shows the differences between the two concepts of global CO2 emissions. It is unclear which concept, on the one hand, better matches the CO2 emissions reported by the EEA and, on the other hand, the remaining CO2 budgets according to the IPCC. The population figures for the EU and its members were determined from the per capita emissions according to the EEA. These differ slightly from the figures according to EDGAR. The global population is taken from the data according to EDGAR (see above). UBA For Germany, data from UBA can also be accessed (UBA, 2025), which provides total CO2 emissions including land use, land use change and forestry (LULUCF) and ISA (sales principle). The Global Carbon Project is used as a reference point for global emissions (see above). The population figures for Germany were determined from the per capita emissions according to the EEA. These differ slightly from the figures according to EDGAR. The global population is taken from the data according to EDGAR (see above). GCP For the EU, data from GCP can also be accessed (GCP, 2025), which provides total CO2 emissions including land use change (LUC) and excluding ISA. Cement carbonation is taken into account globally and for the EU. To this end, the reported EU emissions are adjusted for the global share of carbonisation. GCP refers to three sources for LUC emissions, which differ significantly. As with global emissions, the average of the three sources was used for the EU's LUC emissions. Page 5 / 7 This database is consistent in terms of the global data and data for the EU used. The population figures are based on EDGAR. Global budgets The tool also provides updated global remaining budgets (Forster, P.M. et al., 2025) compared to the budgets published by the IPCC in 2021 (IPCC, 2021). Formulas for linear emission paths 3 In the tool, the year of emissions neutrality and the rate of change of emissions 2030 to 2019 are given on the basis of linear emission paths without net negative emissions. The following formulas are used: emissions in year t of the country i =𝐸𝑡𝑖=−(𝐸𝐵𝑌 𝑖2(2∗𝐵𝑐𝑜𝑟 𝑖))∗(𝑡−𝐵𝑌)+𝐸𝐵𝑌 𝑖 ⁄ year emissions neutrality=𝑟𝑜𝑢𝑛𝑑 𝑢𝑝 (𝐵𝑌+0.5+2∗𝐵𝑐𝑜𝑟 𝑖𝐸𝐵𝑌 𝑖) ⁄ where: 𝐵𝑐𝑜𝑟 𝑖=𝐵𝑖+0.5∗𝐸𝐵𝑌 𝑖 3 This correction produces approximately the exact results (cf. Wittmann & Wolfsteiner, 2023, SLPM). Page 6 / 7 References EDGAR, 2025. European Commission, Joint Research Centre (JRC)/PBL Netherlands Environmental Assessment Agency. Emission Database for Global Atmospheric Research (EDGAR). [Online] Available at: https://edgar.jrc.ec.europa.eu/ [Accessed 09 09 2025]. EEA, 2025. EEA greenhouse gas - data viewer. [Online] Available at: https://www.eea.europa.eu/data-and-maps/data/data-viewers/greenhouse-gases-viewer [Accessed 16 04 2025]. Forster, P.M. et al., 2025. Indicators of Global Climate Change 2024: annual update of key indicators of the state of the climate system and human influence. [Online] Available at: https://essd.copernicus.org/articles/17/2641/2025/ GCP, 2025. [Online] Available at: https://globalcarbonbudget.org [Accessed 13 11 2025]. German Advisory Council on the environment (SRU), 2020. Using the CO2 budget to meet the Paris climate targets - ENVIRONMENTAL REPORT 2020 (CHAPTER 2). [Online] Available at: https://www.umweltrat.de/SharedDocs/Downloads/EN/01_Environmental_Reports/2020_08_environm ental_report_chapter_02.html IPCC, 2021. Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change. [Online] Available at: https://www.ipcc.ch/report/ar6/wg1/ Sargl, M., Wiegand, D., Wittmann, G. & Wolfsteiner, A., 2024. Distribution of a Global CO2 Budget - A Comparison of Resource Sharing Models. [Online] Available at: https://doi.org/10.5281/zenodo.4603032 Sargl, M., Wiegand, D., Wittmann, G. & Wolfsteiner, A., 2025a. Berechnung Paris-kompatibler Emissionspfade mit dem ESPM am Beispiel Deutschlands und der EU. [Online] Available at: https://doi.org/10.5281/zenodo.5678717 Sargl, M., Wiegand, D., Wittmann, G. & Wolfsteiner, A., 2025b. Calculation of Paris-compatible emission targets for the six largest emitters with the ESPM. [Online] Available at: https://doi.org/10.5281/zenodo.4764408 UBA, 2025. Germany's greenhouse gas emissions. [Online] Available at: https://www.umweltbundesamt.de/themen/klima-energie/treibhausgas-emissionen [Zugriff am 14 03 2025]. Wittmann, G. & Wolfsteiner, A., 2023. Resource Sharing Models − A Mathematical Description. [Online] Available at: https://doi.org/10.5281/zenodo.4405448 Wolfsteiner, A., 2025. Ableitung eines impliziten CO2-Budgets für Deutschland aus dem Klimaschutzgesetz. [Online] Available at: https://doi.org/10.5281/zenodo.6535174 Wolfsteiner, A. & Wittmann, G., 2024. Mathematical Description of the Regensburg Model Scenario Types RM 1 – 6. [Online] Available at: https://doi.org/10.5281/zenodo.4540475 Page 7 / 7 Wolfsteiner, A. & Wittmann, G., 2025a. Tool for the Calculation of Emission Paths with the RM Scenario Types. [Online] Available at: https://doi.org/10.5281/zenodo.4568839 Wolfsteiner, A. & Wittmann, G., 2025b. Tool for the Calculation of Paris-compatible Emission Paths with the ESPM. [Online] Available at: https://doi.org/10.5281/zenodo.4580310