Question

Difficulty: EasyDrainage Patterns and River Basin Analysis

In a morphometric analysis of a river basin, a hydrologist counts 3232 first-order streams and 88 second-order streams using Strahler's stream ordering system. What is the bifurcation ratio between the first-order and second-order streams?

Answer: 4

Answer

The bifurcation ratio between the first-order and second-order streams is 4.
The bifurcation ratio (RbR_b) is obtained by dividing the number of streams of a given order (N1=32N_1 = 32) by the number of streams of the next higher order (N2=8N_2 = 8). Therefore, Rb=328=4R_b = \frac{32}{8} = 4.

Step-by-Step Solution

1
Identify the number of streams of order uu and order u+1u+1
N1=32N_1 = 32 and N2=8N_2 = 8
The bifurcation ratio measures the ratio of the number of stream segments of a given order to the number of segments of the higher order.
2
Calculate the bifurcation ratio using Rb=N1N2R_b = \frac{N_1}{N_2}
Rb=328=4R_b = \frac{32}{8} = 4
Dividing the count of first-order streams by the count of second-order streams gives the ratio of stream branching.

Key Concept

Bifurcation Ratio in River Basin Morphometry
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