Final answer:
Aerial shoots, which include tillers and branches, typically emerge from the nodes of plant stems, where axillary buds are located. These buds can give rise to various types of stems including both vertical and horizontal branches, such as stolons and rhizomes.
Step-by-step explanation:
Aerial shoots, also known as tillers or branches, emerge from specific areas on plant stems known as nodes. Nodes are the points of attachment for leaves, aerial roots, and flowers. The section of stem between two nodes is an internode. However, it's at the nodes where the axillary buds are located, which can give rise to branches or flowers.
In grasses and other plants, branches or tillers generally originate from the branch primordia which are produced alongside the earliest leaves. This occurs at the nodes, just above where the leaves are attached to the stem. These axillary buds can develop into vertical leafy stems, horizontally extending above or below-ground branches known as stolons or rhizomes, respectively.
Each leaf typically has an axillary bud in its axil, which is the area between the base of a leaf and the stem. It is from these axillary buds that new aerial shoots emerge. Branch roots, on the other hand, can emerge at less specified locations compared to shoots.