NOVELTY - A composition comprises a fatty ester component constituting at least 50 wt.% of the composition and comprising unsaturated fatty esters; and at least one alkylalkanolamine, the composition further comprises at least one nitroxide free-radical scavenger or its precursor.    USE - As fatty ester compositions (claimed) useful as biodiesel fuels for use in cold climates, where the negative effects of oxidative degradation are particularly troublesome due to the resulting increase in pour point temperature.    ADVANTAGE - The composition shows good resistance to atmospheric oxidation and resultant viscosity increase. The nitroxide free-radical scavenger stops the oxidation of unsaturated fatty esters already during the initial stage, so that smaller amounts are required and so that the consumption of this free radical scavenger is not, or at least much less, affected by the amount of oxygen which is supplied to the fatty ester composition. The nitroxide free-radical scavengers are stable compounds which remain in the composition until they react with any free radical produced during the initiation stage. Moreover, it is much less volatile than the known alkylhydroxylamine oxygen scavengers, so that they remain in the composition. In the present composition, the nitroxide free-radical scavenger is combined with an alkanolamine. A first advantage of this combination is that the nitroxide can easily be dissolved into the alkylalkanolamine whereas it is difficult to be dissolved in the fatty ester component itself. A further advantage of this combination is that the antioxidant effects of the nitroxide are improved by the presence of the alkylalkanolamine, i.e. this combination has a synergetic effect on the oxidative stability of the composition. By the use of nitroxide free-radical scavenger, the composition can be stabilized for a longer period of time. The stability period is moreover less affected by the supply of oxygen to the composition. The solubility problem of the nitroxide in the fatty ester component can be solved by dissolving the nitroxide first in the alkylalkanolamine. The nitroxide free-radical scavenger can be dissolved easily in the alkylalkanolamine and/or in a hydroxylamine so that heating and subsequent cooling of the fatty ester composition can be avoided. The composition slows or prevents oxidative instability such as an increase in rancidity as reflected in an increase in viscosity of the composition and/or increases in the pour point temperature.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is included for making a stabilized composition involving blending together: a fatty ester component comprising an unsaturated fatty ester; at least one alkylalkanolamine; and a nitroxide free-radical scavenger or its precursor.