The area-perimeter relation can be applied to rivers, if |
Ai is the area of the basin drained by the river, |
and |
Pi is the length of the longest branch of the river. |
both measured at length ri, then we expect
|
Measurements of this sort were made by Hack. |
Choosing a reference length r1 and plotting |
Log(A1/Ai) versus Log(P1/Pi) |
gave points approximately on a straight line
of slope |
Return to Rivers.