The native spp. are
T. cordata,
T. platyphyllos and possibly
T. x europaea, but all are widely planted. The most usual spp. are shown here (there are many other planted spp. not shown):
Flowers/fruit hang down
nearly hairless
fine teeth, few hairs
simple hairs
star-shaped hairs
Flowers/fruit horizontal to upward
Tilia cordata . . . . . Small-leaved Lime
Leaves less than c.8cm, fls upward-pointing; widely planted, but locally common as native in C En and Wa
Tilia platyphyllos . . . . . Large-leaved Lime
Local on base-rich soils as native but widely planted; lvs hairy underside with simple white hairs, esp. along veins
Tilia tomentosa . . . . . Silver Lime
Lvs silvery hairy underneath, with broad teeth and star-shaped hairs, fls hanging, branches point upwards; widely planted. (Pic C Hutchinson)
Tilia 'Petiolaris' . . . . . Pendent Silver Lime
Densely hairy young twigs, white lf undersides, petioles >1/2 as long as lvs, fls hanging, branches weeping; widely planted. (Pics 2 & 3 C Hutchinson)
Tilia x euchlora . . . . . Caucasian Lime
Quite widely planted as produces little honeydew, lf teeth sharp with a short bristle, largely hairless
Tilia x europaea . . . . . Common Lime
Widely planted, but native in a few places; many basal shoots