TY - JOUR
T1 - Formulation and asymptotic properties of the bifurcation ratio in Horton's law for the equiprobable binary tree model
AU - Yamamoto, Ken
AU - Yamazaki, Yoshihiro
PY - 2008/8/14
Y1 - 2008/8/14
N2 - The bifurcation ratio for the equiprobable binary tree model is formulated. We obtain the exact expression of the kth moment of the second-order streams. We also obtain a recursive equation between rth and (r+1) th order streams. Horton's law is confirmed numerically by calculating this recursive equation and asymptotic properties of the bifurcation ratio are discussed.
AB - The bifurcation ratio for the equiprobable binary tree model is formulated. We obtain the exact expression of the kth moment of the second-order streams. We also obtain a recursive equation between rth and (r+1) th order streams. Horton's law is confirmed numerically by calculating this recursive equation and asymptotic properties of the bifurcation ratio are discussed.
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U2 - 10.1103/PhysRevE.78.021114
DO - 10.1103/PhysRevE.78.021114
M3 - Article
AN - SCOPUS:50049113854
SN - 1539-3755
VL - 78
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - 021114
ER -