The present invention relates to integrated processes for the production of ethylene-butylene copolymers from at least one renewable natural raw material. More specifically, the present invention relates to processes wherein in the ethylene monomer, used in the polymerization for the production of an ethylene copolymer, and the 1-butylene, as the comonomer, is obtained by the ethanol dehydration reaction, which ethanol is produced by the fermentation of sugars, and the 1-butylene comonomer is obtained according to at least one of the following reactions: (i) dehydration reaction of 1-butanol directly produced by the fermentation of sugars, (ii) dehydration reaction of 1-butanol obtained from ethanol via a chemical route, which ethanol is produced by the fermentation of sugars; and/or (iii) dimerization reaction of ethylene produced by the dehydration of ethanol obtained from the fermentation of sugars, followed by isomerization of the 2-butylene isomers then formed.The ethylene-butylene copolymer thus produced is completely based on carbon atoms originated from renewable natural raw materials and, upon incineration it produces CO2 from a non-fossil origin.