Abstract: Self-similarity of channel networks is an important field in hydrologic scaling research, while the statistical self-similarity of channel networks is to study the similarity of the probabilistic distribution functions of network parameters at different scales. In this paper, the relationships between the entire network and the streams of the same Horton-Strahler order were derived in terms of the probabilistic distribution of network parameters, and empirical tests were performed by using the DEM data of Zagunao River catchments. The results of Kolmogorov-Smirnov Two-Sample test showed that the derived equations fitted the empirical data well, suggesting that the relationships between the entire network and the streams of the same Horton-Strahler order were of complicated cascade rather than “simple scaling”.

Key words: Diversity, Rice variety, Magnaporthe grisea, Lineage