Tosefta do Pea 7:4

He who takes out the green onions for sale and leaves the others to ripen for storage (=המארג, see Jastrow) is liable at the beginning [of his harvest] and is liable at the end [of his harvest]. [If] he had four or five grapevines, and he harvests them and brings them [for storage] inside his house, he is exempt from Peret (Peah 7:3), from the forgotten sheaf, and from Peah, but he is liable in Olelet (Peah 7:4). And if [any vines] remain [to be harvested], he gives from the remainder [only] on behalf of that remainder itself [but not on what he previously brought inside his house]. One who thins out [his produce, see Peah 3:3], gives from what remains [on behalf of] that remainder itself [but not on the thinned-out portion]. Said Rabbi Yehudah, in what context does this apply? With regards to one who thins out produce in the marketplace, but one who thins out produce inside his house, he gives from the remainder on behalf of everything [including the thinned-out portion].

[There are] four gifts [for the poor] from the vineyards: Peret (i.e., grapes that fall during harvesting, see Lev. 19:10, Peah 7:3), forgotten sheaves (Deut. 24:19), peah (Lev. 23:22), and olelet (i.e., defective clusters, see Lev. 19:10, Peah 7:4). [There are] three [gifts for the poor] from field-produce: Gleanings (Lev. 19:9), forgotten sheaves, and peah. [There are] two [gifts for the poor] from fruit trees: forgotten sheaves and peah. [And as to] all of these, they should not [be given as] a favor, and [others] can even take [gifts for the poor given as a favor] from a Jewish poor person from his hand (i.e., since it does not lawfully belong to him in the first place). And [as to] the remainder of the priestly gifts, such as the shankbone and the jawbone and the rough-stomach (see Deut. 18:3), these may be [given as] a favor. And we give [these] to every Kohen that desires [them].