An alternative approach to relying on fixed national caps and deadlines for reducing carbon dioxide emissions and alleviating global warming is offered. The new proposal relies instead on a universal logistic growth curve to establish, for each year, the minimum fraction of each country's emissions that can arise from non-fossil fuels. Since developing countries presently rely more (i.e. greater percentage) on non-fossil sources, the proposed will tend to require the developed countries to take actions earlier to increase their efficiency and the use of non-fossil energy.