A thermoplastic or elastomeric composition, is characterized in that: a) it exhibits a degree of biodegradability of less than 50%, preferably less than 30%, and b) it contains at least 0.5% and at most 99.95% by weight of an ester of a starchy material, which has a degree of ester substitution (DS) of between 1.6 and 3, and at least 0.05% by weight and at most 99.5% by weight of a polymer other than starch.本発明の主題は、a)生分解度50%未満、好ましくは30%未満を示し、b)澱粉質材料のエステルを、少なくとも0.5%、最大で99.95重量%含有し、エステルの置換度(DS)が1.6~3であり、かつ澱粉以外のポリマーを少なくとも0.05重量%、最大で99.5重量%含有することを特徴とする、熱可塑性またはエラストマー組成物である。