Stream Habitat Quantification by Use of the Froude Number

Robert J. Danehy
James M. Hassett

The analysis of aquatic habitats in streams has been the subject of much research during the past 40 years. The traditional visual classification of pool and riffle categories has been modified to include numerous descriptive classes. However, visual classification schemes are qualitative and subjective and do not allow for objective quantification and statistical comparisons across a range of stream habitat types. Use of the Froude number provides an objective way to classify and analyze habitat units.

The Froude number (Fr) is used by hydraulic engineers to describe types of flow. Fr, derived from a force balance on an element of incompressible fluid, can be expressed as

(1)


where:

Fr = the Froude number
V2 = the average cross sectional velocity (V=Q/A)
y = the hydraulic depth
g = the acceleration due to gravity.

Fr can be thought of as the ratio of kinetic energy (proportional to V2) to potential energy (proportional to gy). Fr values greater than 1 describe supercritical or shooting flow; Fr values less than 1 describe subcritical or tranquil flow.

In field practice, Fr can be calculated as


(2)


where

TW = top width
Q = discharge
A = cross sectional area.
 

Equation (2) is exactly equivalent to equation (1). Consequently, the Froude number can be computed by measuring channel width, cross sectional area, and discharge at specific stream cross sections.

Biologists have recently begun to use this tool in the analysis of habitat. Heede and Rinne (1990) suggested that a hydraulic approach to aquatic habitat analysis could improve our understanding of the relationship between fish and flow. Statzner and Higler (1986) used hydraulic character to describe patterns of aquatic insect distribution. Jowett (1993) analyzed 1,112 stream sites in New Zealand and showed Fr values for pools to be less than 0.18 and Fr values for riffles to be greater than 0.41.

Danehy (1994) examined aquatic habitat in a small (116 km2) central New York watershed. Stream flows and 31 cross-sections one bankfull width apart were obtained at 13 sites during summer low flow conditions. Fr (for each cross section) and Fr variance (for each site) were calculated using equation 2.

Figure 1. Froude number longitudinal and frequency distributions at 31 cross sections at two sites on Onondaga Creek, Tully, New York.

Figure 1 is a comparison of two sites by longitudinal and frequency distribution of Fr. The lower Fr values at the Cows site indicate the predominant pool habitat while the higher values at Tully Farms Road describe a more riffle dominate environment. The distribution and size of brook trout (Salvelinus fontinalis) and brown trout (Salmo trutta) reflect those differences with much larger brown trout found at the Cows site predominated by pools while brook trout were found only at the Tully Farms Road site containing more riffles.

A comparison of the means of the 13 sites (Table 1) separates the sites into distinct groups. Mean Fr ranged from 0.13 to 0.47. Using Jowett's criteria, a single site (Webster Rd) had a mean in the pool range and three sites (Rattlesnake 1, Woodmancy, and Emerson) had means in the riffle range. The rest of the sites fell between these extremes.

Fr alone does not tell the entire story with respect to fluvial fish habitat. Fr variance for a reach provides additional important information. High variance indicates heterogeneous habitat which should be reflected in more diverse communities. In Danehy (1994) Fr variance differences between pool-riffle channels from higher gradient step-pool channels were evident. Pool-riffle channels had a Fr variance of less than 0.50 whereas the more complex step-pool channels had a Fr variance > 0.50.

While mean Fr is a measure of habitat type, Fr variance is a measure of habitat complexity.

The Froude number can be an important addition to the aquatic ecologist's tool box. The ability to describe habitat quantitatively is a clear improvement over the many qualitative approaches that have been proposed. From a more practical standpoint, stream restoration projects are frequently managed by an engineer. The ecologist who can express habitat concerns in terms meaningful to the engineer is more likely to be heard.



References

Danehy, R.J., 1994. Geomorphic, hydrologic, and hydraulic determinants of fish and macroinvertebrates in a small watershed. Ph. D. Dissertation, SUNY College of Environmental Science and Forestry, Syracuse, NY, 158 pp.

Heede, B. H. and J. N. Rinne, 1990. Hydrodynamic and fluvial morphological processes: Implications for fisheries management and research. North American Journal of Fisheries Management, 10:249-268.

Jowett, I.G. 1993. A method for objectively identifying pool, run, and riffle habitats from physical measurements. New Zealand Journal of Marine and Freshwater Research, 27:241-248.

Statzner, B. and B. Higler. 1986. Stream hydraulics as a major determinant of benthic invertebrate zonation patterns. Freshwater Biology, 16:127-139.


About the Authors

Robert J. Danehy is a Fisheries Biologists with Weyerhauser Company's Oregon Watershed Team based in Springfield, Oregon.

James M. Hassett is an Associate Professor in the Faculty of Forest Engineering at the State University of New York College of Environmental Science and Forestry (SUNY-ESF), Syracuse, NY. He specializes in engineering hydrology, specifically the development of rainfall-runoff models.

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