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. 2007 Feb;43(1):41–59. doi: 10.1111/j.1752-1688.2007.00005.x

TABLE 3.

Headwater Tributary Connections to Higher-Order Streams in River Networks.

Headwater (First-Order) Streams
Percentage of All Lower-Order Tributary Reaches Classified as First-Order Streams
Strahler Stream-Order Class Theoretical* New England NHD Number of NHD Stream Reaches
2 100.0 100.0 11,775
3 66.7 46.5 5,019
4 57.1 54.3 2,527
5 53.3 57.7 1,181
6 51.6 53.5 497
7 50.8 51.1 45
*

The estimates are based on Tokunaga’s law for describing the average number of streams of a given order that are tributaries to higher-order streams (Dodds and Rothman, 2000). For common values of the network scaling parameters (Tokunaga, 2003), the average number of first-order tributaries to higher-order streams of order v is computed as 2v−1. In the table, the average number of first-order tributaries to a specified stream order is expressed as a percentage of the total number of all lower-order connecting tributaries for that stream order.