The cumulative emissions data provided by the Summary for Policymakers of the Intergovernmental Panel on Climate Change(IPCC)Fifth Assessment Report(Working Group I)were used to calculate the carbon allowances for the main countries and regions during 2010-2100 for typical allocation schemes.The results show that each country's permitted discharges change with the various total constraints at different rates for each scheme.In addition,the scheme parameters also impact each country's quota.The allocation regimes are evaluated from the perspective of fairness to show that the regimes based on historical responsibilities more effectively reduce the inequities among global emissions to maintain reasonable rights for developing countries and that the regimes based on ability to pay more effectively reduce the emissions inequities between Annex I and non-Annex I groups.