משנה אויף בראשית 43:11

A field harvested by gentiles, or harvested by robbers, or which ants have bitten [the stalks at the roots], or which wind and cattle have broken down, is exempt from peah. If [the owner] harvested half of it and robbers harvested half, it is exempt from peah, for the obligation of peah is in the standing grain.

The lulavim of hawthorn trees and carobs the laws of sheviit apply to them and to their money substitutes, the law of removal applies to them and to their money substitutes. The lulavim of the terebinth, the pistachio tree and the white thorn, the laws of sheviit apply to them and to their money substitutes, but the law of removal does not apply to them and to their money substitutes. But as for the leaves the law of removal applies, since they fall from their stem.