A track for a track system having a plurality of wheels for supporting the track on a ground surface, the track system being configured to support a nominal load, the track comprising: an endless elastomeric carcass having a wheel-facing side for engaging the plurality of wheels, and a ground-facing side opposite the wheel-facing side for engaging the ground surface, the endless elastomeric carcass being resiliently deformable; a plurality of lugs projecting from the wheel-facing side, each lug of the plurality of lugs having a base and a side wall extending from the base, the base being distanced from the ground-facing side by a first distance ; the wheel-facing side defining a wheel path on which the plurality of wheels rolls on, the wheel path having: a first track side portion extending adjacent the bases of at least some lugs of the plurality of lugs, a second track side portion opposite the first track side portion, and an intermediate track portion , located between the first and second track side portions, the intermediate track portion being distanced from the ground-facing side by a second distance ; in response to one wheel of the plurality of wheels rolling on the wheel path and the track system supporting a first load being smaller than the nominal load, the track is resiliently deformed under the wheel and the second distance is greater than the first distance, and in response to one wheel of the plurality of wheels rolling on the wheel path and the track system supporting a second load being equal or greater than the nominal load, the track is further resiliently deformed under the wheel and the second distance is substantially equal to or smaller than the first distance. an endless elastomeric carcass having a wheel-facing side for engaging the plurality of wheels, and a ground-facing side opposite the wheel-facing side for engaging the ground surface, the endless elastomeric carcass being resiliently deformable; a plurality of lugs projecting from the wheel-facing side, each lug of the plurality of lugs having a base and a side wall extending from the base, the base being distanced from the ground-facing side by a first distance ; the wheel-facing side defining a wheel path on which the plurality of wheels rolls on, the wheel path having: a first track side portion extending adjacent the bases of at least some lugs of the plurality of lugs, a second track side portion opposite the first track side portion, and an intermediate track portion , located between the first and second track side portions, the intermediate track portion being distanced from the ground-facing side by a second distance ; a first track side portion extending adjacent the bases of at least some lugs of the plurality of lugs, a second track side portion opposite the first track side portion, and an intermediate track portion , located between the first and second track side portions, the intermediate track portion being distanced from the ground-facing side by a second distance ; in response to one wheel of the plurality of wheels rolling on the wheel path and the track system supporting a first load being smaller than the nominal load, the track is resiliently deformed under the wheel and the second distance is greater than the first distance, and in response to one wheel of the plurality of wheels rolling on the wheel path and the track system supporting a second load being equal or greater than the nominal load, the track is further resiliently deformed under the wheel and the second distance is substantially equal to or smaller than the first distance. <EOS>