The theory proposed by robert braidwood, arguing that agriculture arose in areas where the wild ancestors of domesticated wheat and barley grew, and resulted from human efforts to increase the productivity and stability of their food base, is the:

Hilly flanks theory

Explanation:

HILLY FLANKS THEORY is the theory proposed by Robert Braidwood, arguing that agriculture arose in areas where the wild ancestors of domesticated wheat and barley grew, and resulted from human efforts to increase the productivity and stability of their food base.

He proposed and suggest in 1948, that agriculture began in the hilly flanks of the Taurus and Zagros mountains, where the climate was not drier, as Childe had believed, and that fertile land supported a variety of plants and animals amenable to domestication.