A vented pouch arrangement is described which comprises: first and second opposed panel sections; a base gusset member; and, a gas filter arrangement oriented in one of the panel sections. The gusset member is preferably oriented between the panel sections; along ends thereof, to form a base by which the arrangement can be stood up during use. Preferably, the arrangement is provided with a rib and trough closure arrangement extending thereacross. In this manner, opening and reclosing the bag construction, for access to material therein, is facilitated. A method for formation of such a pouch arrangement, and methods of use, are also described.