Abstract
This paper reports the gully channel networks at the nearly mature stage, as well as the intermediate stage of their developments on the bared slope in the second Gohonmatu district, Namioka town, Aomori Pref., which was reported in the preceding paper.And we consider the statistical laws of geometrical properties in the gully networks and the processes of their developments.
The quantitave analytical method of watershed geomorphology or the ordering of Strahler and Shreve was used for the purpose of our work.
Results obtained are as follows:
There exist close relationships between gully numbers or lengths in the networks and their orders, respectively (see Fig.2, 3, 5, 6 and equations (1)-(8), (11)-(18.2)), but there are occasions in which the relationships between gully widths or depths and their orders have unique properties corresponding to their developments and characteristics as gully networks (see Fig.4, 7, 8, 9 and eq.(9), (10), (19.1)-(24.2)).Furthermore, we have found order-relationships for gully widths and depths which are not involved in Horton's laws using Shreve's ordering (see Fig.8, 9 and eq.(21)-(24.2)).
From the discussion regarding the laws and developments of gully networks, it is considered that the prototypes of the gully networks had been completed at the intermediate stage, and that, thereafter, they became stable proceeding to a more mature stage.
