Economic part of Pimenta dioica is

The economic part of Pimenta dioica is Dried berries.
Allspice is the dried fruit of the Pimenta dioica plant.
The fruits are picked when green and unripe and are traditionally dried in the sun. When dry, they are brown and resemble large, smooth peppercorns.
Fresh leaves are similar in texture to bay leaves and similarly used in cooking. Leaves and wood are often used for smoking meats where all spice is a local crop.