The Bradshaw model is a theory which shows how the size of the river affects stream flow. As the river flows downstream, tributaries feed more water into the stream system leading to a higher discharge. This increased volume of water leads to the river having more strength and thus more power to vertically and laterally erode leading to an increase in channnel depth and width. Additionally, because the river has increased strength and thus increased erosion is occuring, load particle size is smaller downstream, as well as channel bed roughness.