Tyre for an agricultural vehicle, comprising: - a tread that is intended to come into contact with the ground and has an axial width L measured between two axial ends (E, E'), - the tread comprising lugs that are separated from one another by grooves, - each lug extending radially outwards, over a radial height H, from a bottom surface as far as a contact face, - the grooves consisting of the portions of the bottom surface separating the lugs, characterized in that the tread comprises a first, median portion having an axial width L 1 at least equal to 0.25 times and at most equal to 0.75 times the axial width L, and second and third, lateral portions (22, 23) that respectively extend axially outwards from the first, median portion as far as an axial end (E, E') and have respective axial widths (L 2, L 3), in that each lug portion that is axially contained in the first, median portion and extends radially inwards, from the contact face as far as a first interface, over a radial distance D 1 at least equal to 0.5 times and at most equal to 1 times the radial lug height H, consists of a first elastomeric compound having a complex dynamic shear modulus G 1 * at 50% deformation and at 60°C at least equal to 1.4 MPa, and preferably at most equal to 2 MPa, and in that each lug portion that is axially contained in one of the second or third, lateral portions (22, 23) and extends radially inwards, from the contact face as far as a second interface, over a radial distance D 2 at least equal to 0.5 times and at most equal to 1 times the radial lug height H, consists of a second elastomeric compound having a complex dynamic shear modulus G 2 * at 50% deformation and at 60°C at least equal to 1.3 MPa, and preferably at most equal to 1.9 MPa, the complex dynamic shear modulus values being measured in accordance with the standard ASTM D 5992-96. - a tread that is intended to come into contact with the ground and has an axial width L measured between two axial ends (E, E'), - the tread comprising lugs that are separated from one another by grooves, - each lug extending radially outwards, over a radial height H, from a bottom surface as far as a contact face, - the grooves consisting of the portions of the bottom surface separating the lugs, characterized in that the tread comprises a first, median portion having an axial width L 1 at least equal to 0.25 times and at most equal to 0.75 times the axial width L, and second and third, lateral portions (22, 23) that respectively extend axially outwards from the first, median portion as far as an axial end (E, E') and have respective axial widths (L 2, L 3), in that each lug portion that is axially contained in the first, median portion and extends radially inwards, from the contact face as far as a first interface, over a radial distance D 1 at least equal to 0.5 times and at most equal to 1 times the radial lug height H, consists of a first elastomeric compound having a complex dynamic shear modulus G 1 * at 50% deformation and at 60°C at least equal to 1.4 MPa, and preferably at most equal to 2 MPa, and in that each lug portion that is axially contained in one of the second or third, lateral portions (22, 23) and extends radially inwards, from the contact face as far as a second interface, over a radial distance D 2 at least equal to 0.5 times and at most equal to 1 times the radial lug height H, consists of a second elastomeric compound having a complex dynamic shear modulus G 2 * at 50% deformation and at 60°C at least equal to 1.3 MPa, and preferably at most equal to 1.9 MPa, the complex dynamic shear modulus values being measured in accordance with the standard ASTM D 5992-96.