Abstract
The bifurcation ratio for the equiprobable binary tree model is formulated. We obtain the exact expression of the moment of the second-order streams. We also obtain a recursive equation between and order streams. Horton’s law is confirmed numerically by calculating this recursive equation and asymptotic properties of the bifurcation ratio are discussed.
- Received 6 April 2008
DOI:https://doi.org/10.1103/PhysRevE.78.021114
©2008 American Physical Society