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Hack's law : ウィキペディア英語版
Hack's law
Hack's law is an empirical relationship between the length of streams and the area of their basins. If ''L'' is the length of the longest stream in a basin, and ''A'' is the area of the basin, then Hack's law may be written as
:L = C A^h\
for some constant ''C'' where the exponent ''h'' is slightly less than 0.6 in most basins. Note that ''h'' varies slightly from region to region, and also slightly decreases for larger basins (>8,000 mi², or 20,720 km²). A theoretical value ''h'' = 4/7 ≈ 0.571 for the exponent has been derived (Birnir, 2008).
== References ==

* Birnir, B., 2008, "Turbulent rivers", ''Quart. Appl. Math.'', 66, 3, pp. 565–594.
* Hack, J., 1957, "Studies of longitudinal stream profiles in Virginia and Maryland", ''U.S. Geological Survey Professional Paper'', 294-B.
* Rigon, R., et al., 1996, "On Hack's law" ''Water Resources Research'', 32, 11, pp. 3367–3374.
* Willemin, J.H., 2000, "Hack’s law: Sinuosity, convexity, elongation". ''Water Resources Research'', 36, 11, pp. 3365–3374.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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