A method for the production of superabsorbent pellets and of a fibrous material from crop residues of monocotyledonous flowering plants (preferably maize) cultivation, comprising the following steps: (i) cutting the maize stalks planted in the ground of the field below the lowest cob of the stalks, so as the less leafy stalk segments, which are preferably higher than or equal to -in an increasing order of preference- 30; 50; 70 cm, stay on the field; each less leafy stalk segment including a spongy core, a stalk bark wrapping the core and a leafy matter wrapping the stalk bark or born by the stalk; (ii) cutting the less leafy stalk segments as close to the ground as possible; (iii) harvesting the less leafy stalk segments cut in step (ii); (iv) cutting the in step (iii) harvested less leafy stalk segments into stalk sections which largest dimension in mm -preferably their length- is comprised between -in an increasing order of preference- 5-50; 8-40; 10-30; (v) providing a mechanical impact to the stalk sections of step (iv) so as • to separate their spongy cores from their stalk barks, as well as the leafy matter, • to transform said stalk barks into elongated fiber pieces; • and to obtain a mix containing: f1. said spongy cores forming the superabsorbent pellets fraction; f2. said elongated fiber pieces forming the fibrous matter fraction; f3. and said leaf matter forming the leafy fraction; (vi) separating the 3 fractions from each other; (vii) recovering the three fractions f1-f2-f3; (viii) possibly reducing the f1 superabsorbent pellets up to a smaller pellet size so as their largest dimension in mm -preferably their length- be comprised between 0.1-20 mm, preferably between 1-5 mm. (i) cutting the maize stalks planted in the ground of the field below the lowest cob of the stalks, so as the less leafy stalk segments, which are preferably higher than or equal to -in an increasing order of preference- 30; 50; 70 cm, stay on the field; each less leafy stalk segment including a spongy core, a stalk bark wrapping the core and a leafy matter wrapping the stalk bark or born by the stalk; (ii) cutting the less leafy stalk segments as close to the ground as possible; (iii) harvesting the less leafy stalk segments cut in step (ii); (iv) cutting the in step (iii) harvested less leafy stalk segments into stalk sections which largest dimension in mm -preferably their length- is comprised between -in an increasing order of preference- 5-50; 8-40; 10-30; (v) providing a mechanical impact to the stalk sections of step (iv) so as • to separate their spongy cores from their stalk barks, as well as the leafy matter, • to transform said stalk barks into elongated fiber pieces; • and to obtain a mix containing: f1. said spongy cores forming the superabsorbent pellets fraction; f2. said elongated fiber pieces forming the fibrous matter fraction; f3. and said leaf matter forming the leafy fraction; • to separate their spongy cores from their stalk barks, as well as the leafy matter, • to transform said stalk barks into elongated fiber pieces; • and to obtain a mix containing: f1. said spongy cores forming the superabsorbent pellets fraction; f2. said elongated fiber pieces forming the fibrous matter fraction; f3. and said leaf matter forming the leafy fraction; f1. said spongy cores forming the superabsorbent pellets fraction; f2. said elongated fiber pieces forming the fibrous matter fraction; f3. and said leaf matter forming the leafy fraction; (vi) separating the 3 fractions from each other; (vii) recovering the three fractions f1-f2-f3; (viii) possibly reducing the f1 superabsorbent pellets up to a smaller pellet size so as their largest dimension in mm -preferably their length- be comprised between 0.1-20 mm, preferably between 1-5 mm.