Topologically random channel networks and some geomophological laws

概要

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Horton's law of stream numbers is valid to describe approximate relationships between stream orders and numbers of both actual channel networks and random graph models. In more exact sence, however, many networks exhibit certain systematic deviations from this law in Strahler's system. Some students point out many cases in which broken lines of logarithms of numbers versus orders are distinctly concave upward. In a previous paper (Tokunaga 1966), an equation was introduced to modify Horton's law of stream numbers under the two assumptions, in order to satisfy this tendency. In this paper, those assumptions are examined by topologically random populations of channel networks. As the result, it is proved that they are adequate for most probable populations, when orders of networks are given. Further, Horton's law of basin areas and law of stream lengths are modified under the same assumptions.
首都大学東京の論文