Abstract

We compared precipitation intensity-duration-frequency (PIDF) curves developed for four small forested watersheds to spatially interpolated estimates from the National Oceanic and Atmospheric Administration’s (NOAA) Atlas-14. We also evaluated the Rational Method (RM) using on-site PIDFs and USGS Regional Regression Equations by comparing their estimated design discharges with a given exceedance probability p (Qp) to values computed from on-site data fitted to the Log-Pearson (LPIII) distribution. Overall, NOAA’s PIDF estimates were not substantially different from the on-site PIDFs. The 25-year and larger Qp by the RM were in closer alignment with LPIII estimates in the smaller watersheds, whereas Qp by the USGS were a better fit for the larger ones in most cases. Adapting return period-dependent runoff coefficient improved estimates by the RM in the large lowland watershed, but not in the other smaller high-relief watersheds. We recommend RM with 1-h duration NOAA-PIDF for designing road drainage structures in small and possibly the USGS method for large forested watersheds. However, future studies should focus on validation in watersheds of different sizes and topography.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request.

Acknowledgments

The authors would like to acknowledge the USDA Forest Service Southern Research Station (SRS) and Region 8 for funding this study. The authors also wish to thank Shawna Reid at the SRS and former graduate student at North Carolina State University, Jessica Allen, for help with a map figure and data digitization, respectively. The authors also thank Maureen Stuart and Greta Langhenry at the SRS for editing help in the earlier version of the manuscript, Melissa Griffin at SC Department of Natural Resources for providing data from the Charleston Airport, SC, and Paul Moore, P.E. at Ward Edwards Engineering, SC, and Dr. Debabrata Sahoo, P.E. formerly at Woolpert, SC, for their constructive suggestions on parts of the revised manuscript. Last but not the least, the authors express their sincere thanks to the editor and all the anonymous reviewers for their patience and great constructive comments and suggestions that, we believe, helped to enhance the manuscript quality in this revision. Furthermore, the authors also thank the reviewers of earlier version of this manuscript. “The opinions presented in this article are those of the authors and should not be construed to represent any official USDA or US Government determination or policy.”

References

Adams, M. B., and L. Loughry. 2008. Experimental forests and ranges of the USDA Forest Service. Washington, DC: USDA, Forest Service, Northeastern Research Station.
Amatya, D., J. Campbell, P. Wohlgemuth, K. Elder, S. Sebestyen, S. Johnson, E. Keppeler, M. Adams, P. Caldwell, and D. Misra. 2016. “Hydrological processes of reference watersheds in experimental forests.” Chap. 14 in Forest hydrology: Processes, management and assessment, edited by D. M. Amatya, T. M. Williams, L. Bren, and C. deJong, 141–161. Wallingford, UK: Centre for Agriculture and Bioscience International Publishers.
Amatya, D. M., and A. Radecki-Pawlik. 2007. “Flow dynamics of three experimental forested watersheds in coastal South Carolina.” ACTA Sci. Polonorum Formatio Circumiectus 6 (2): 3–17. https://doi.org/10.13031/trans.13387.
Amatya, D. M., T. M. Williams, J. E. Nettles, R. W. Skaggs, and C. C. Trettin. 2019. “Comparison of hydrology of two Atlantic coastal plain forests.” Trans. ASABE 62 (5): 1509–1529. https://doi.org/10.13031/trans.13387.
Bonnin, G. M., D. Martin, B. Lin, T. Parzybok, M. Yekta, and D. Riley. 2006. “Precipitation frequency atlas of the United States.” NOAA Atlas 14 (2): 1–65.
Caldwell, P. V., C. F. Miniat, K. J. Elliott, W. T. Swank, S. T. Brantley, and S. H. Laseter. 2016. “Declining water yield from forested mountain watersheds in response to climate change and forest mesophication.” Global Change Biol. 22 (9): 2997–3012. https://doi.org/10.1111/gcb.13309.
Cheng, L., and A. AghaKouchak. 2014. “Nonstationary precipitation intensity-duration frequency curves for infrastructure design in a changing climate.” Sci. Rep. 4 (2014): 7093. https://doi.org/10.1038/srep07093.
Donahue, J. P., and A. F. Howard. 1987. “Hydraulic design of culverts on forest roads.” Can. J. For. Res. 17 (12): 1545–1551. https://doi.org/10.1139/x87-237.
Eisenbies, M., W. Aust, J. Burger, and M. B. Adams. 2007. “Forest operations, extreme flooding events, and considerations for hydrologic modeling in the Appalachians—A review.” For. Ecol. Manage. 242 (2–3): 77–98. https://doi.org/10.1016/j.foreco.2007.01.051.
England, J. F., Jr., T. A. Cohn, B. A. Faber, J. R. Stedinger, W. O. Thomas Jr., A. G. Veilleux, J. E. Kiang, and R. R. Mason Jr. 2018. Guidelines for determining flood flow frequency—Bulletin 17C. Reston, VA: US Department of the Interior, USGS.
Epps, T. H., D. R. Hitchcock, A. D. Jayakaran, D. R. Loflin, T. M. Williams, and D. M. Amatya. 2012. “Characterization of storm flow dynamics of headwater streams in the South Carolina lower coastal plain.” J. Am. Water Resour. Assoc. 49 (1): 76–89. https://doi.org/10.1111/jawr.12000.
Feaster, T. D., A. J. Gotvald, and J. C. Weaver. 2014. Methods for estimating the magnitude and frequency of floods for urban and small, rural streams in Georgia, South Carolina, and North Carolina, 2011. Columbia, SC: USGS.
Genereux, D. P. 2003. “Comparison of methods for estimation of 50-year peak discharge from a small, rural watershed in North Carolina.” Environ. Geol. 44 (1): 53–58. https://doi.org/10.1007/s00254-002-0734-5.
Gilleland, E., and R. W. Katz. 2016. “extRemes 2.0: An extreme value analysis package in R.” J. Stat. Software 72 (8): 1–39. https://doi.org/10.18637/jss.v072.i08.
Grimaldi, S., and A. Petroselli. 2015. “Do we still need the rational formula? An alternative empirical procedure for peak discharge estimation in small and ungauged basins.” Hydrol. Sci. J. 60 (1): 67–77. https://doi.org/10.1080/02626667.2014.880546.
Harder, S. V., D. M. Amatya, T. J. Callahan, C. C. Trettin, and J. Hakkila. 2007. “Hydrology and water budget for a forested Atlantic coastal plain watershed, South Carolina 1.” J. Am. Water Resour. Assoc. 43 (3): 563–575. https://doi.org/10.1111/j.1752-1688.2007.00035.x.
Hayes, D. C., and R. L. Young. 2006. Comparison of peak discharge and runoff characteristic estimates from the rational method to field observations for small basins in central Virginia. Reston, VA: Department of the Interior, USGS.
Heredia, N., B. Roper, N. Gillespie, and C. Roghair. 2016. Technical guide for field practitioners: Understanding and monitoring aquatic organism passage at road stream crossings. Washington, DC: USDA, Forest Service, National Stream and Aquatic Ecology Center.
Hosking, J. R. M., and J. R. Wallis. 2005. Regional frequency analysis: An approach based on L-moments. Cambridge, UK: Cambridge University Press.
Kerby, W. 1959. “Time of concentration for overland flow.” Civ. Eng. 29 (3): 174.
Kuichling, E. 1889. “The relation between the rainfall and the discharge of sewers in populous districts.” Trans. Am. Soc. Civ. Eng. 20 (1): 1–56.
Kyselý, J., L. Gaál, and J. Picek. 2011. “Comparison of regional and at-site approaches to modelling probabilities of heavy precipitation.” Int. J. Climatol. 31 (10): 1457–1472. https://doi.org/10.1002/joc.2182.
Laseter, S. H., C. R. Ford, J. M. Vose, and L. W. Swift. 2012. “Long-term temperature and precipitation trends at the Coweeta Hydrologic Laboratory, Otto, North Carolina.” Hydrol. Res. 43 (6): 890–901. https://doi.org/10.2166/nh.2012.067.
La Torre Torres, I. B., D. M. Amatya, G. Sun, and T. J. Callahan. 2011. “Seasonal rainfall-runoff relationships in a lowland forested watershed in the Southeastern.” Hydrol. Process. 25 (2011): 2032–2045. https://doi.org/10.1002/hyp.7955.
Mannering, F. L., and W. P. Kilareski. 1998. Principles of highway engineering and traffic analysis. 2nd ed. 340. New York: Wiley.
Marion, D. A. 2004. An improved flood-frequency model for small watersheds in the upper Ouachita Mountains. Washington, DC: USDA, Forest Service, Southern Research Station.
McEnroe, B. M., C. B. Young, A. R. Williams, and M. Hinshaw. 2013. Estimating design discharges for drainage structures in Western Kansas. Topeka, KS: Kansas DOT.
NCDOT (North Carolina DOT). 2016. Guidelines for drainage studies and hydraulic design. Raleigh, NC: NCDOR.
Novak, P., A. Moffat, C. Nalluri, and R. Narayanan. 2007. Hydraulic structures. 4th ed. New York: Taylor & Francis.
NRCS (Natural Resources Conservation Service). 2004. National engineering handbook: Part 630—Hydrology. Washington, DC: USDA Soil Conservation Service.
ODOT (Oklahoma DOT). 2014. “Hydrology.” Chap. 7 in Roadway drainage design manual. Oklahoma City, OK: ODOT.
Perica, S., D. Martin, S. Pavlovic, I. Roy, M. St Laurent, C. Trypaluk, D. Unruh, M. Yekta, and G. Bonnin. 2013. NOAA Atlas 14 precipitation-frequency Atlas of the United States. Silver Spring, MD: National Oceanic and Atmospheric Administration.
Reinhart, K. G., and R. S. Pierce. 1964. Stream gauging stations for research on small watersheds. Washington, DC: USDA, Forest Service.
Richardson, J. S., and R. J. Danehy. 2007. “A synthesis of the ecology of headwater streams and their riparian zones in temperate forests.” For. Sci. 53 (2): 131–147. https://doi.org/10.1093/forestscience/53.2.131.
Rogger, M., B. Kohl, H. Pirkl, A. Viglione, J. Komma, R. Kirnbauer, R. Merz, and G. Blöschl. 2012. “Runoff models and flood frequency statistics for design flood estimation in Austria—Do they tell a consistent story?” J. Hydrol. 456 (Aug): 30–43. https://doi.org/10.1016/j.jhydrol.2012.05.068.
Scaife, C. I., and L. E. Band. 2017. “Nonstationarity in threshold response of stormflow in southern Appalachian headwater catchments.” Water Resour. Res. 53 (8): 6579–6596. https://doi.org/10.1002/2017WR020376.
SCDOT (South Carolina DOT). 2009. Requirements for hydraulic design studies. Columbia, SC: SCDOT.
St. George, S., and M. Mudelsee. 2018. “The weight of the flood-of-record in flood frequency analysis.” Supplement, J. Flood Risk Manage. 12 (S1): e12512. https://doi.org/10.1111/jfr3.12512.
Sun, G., S. G. McNulty, D. M. Amatya, R. W. Skaggs, L. W. Swift, J. P. Shepard, and H. Riekerk. 2002. “A comparison of the watershed hydrology of coastal forested wetlands and the mountainous uplands in the Southern US.” J. Hydrol. 263 (1–4): 92–104. https://doi.org/10.1016/S0022-1694(02)00064-1.
Swank, W. T., and D. J. Crossley. 1988. Forest hydrology and ecology at Coweeta. New York: Springer.
Thompson, D. B. 2006. The rational method, regional regression equations, and site specific flood-frequency relations. Austin, TX: Texas DOT.
Trommer, J., J. Loper, and K. Hammett. 1996. Evaluation and modification of five techniques for estimating stormwater runoff for watersheds in west-central Florida. Reston, VA: US Department of the Interior, USGS.
Tummers, B. 2006. “DataThief III.” Accessed October 14, 2017. https://datathief.org/.
USDOT. 2002. Highway hydrology: Hydraulic design series (HDS) no. 2. Washington, DC: Federal Highway Administration, USDOT.
USDOT. 2012. Evaluating scour at bridges. Washington, DC: Federal Highway Administration, USDOT.
USDOT. 2018. US forest service transportation resiliency guidebook: Addressing climate change impacts on US forest service transportation assets. Cambridge, MA: USDOT John A. Volpe National Transportation Systems Center in Cambridge.
USGS. 1982. Guidelines for determining flood frequency. Reston, VA: USGS.
US Water Resources Council. 1981. “Estimating peak flow frequencies for natural ungaged watersheds: A proposed nationwide test.” In Hydrology committee. Washington, DC: US Water Resources Council.
Virginia DOT. 1999. “Drainage manual.” Chap 6 in Vol. 2 of Hydrology: Virginia stormwater management handbook. 1st ed. Richmond, VA: Virginia DOT.
Wagner, D. M., J. D. Krieger, and A. G. Veilleux. 2016. Methods for estimating annual exceedance probability discharges for streams in Arkansas, based on data through water year 2013. Reston, VA: USGS.
Walega, A., D. M. Amatya, P. Caldwell, D. Marion, and S. Panda. 2020. “Assessment of storm direct runoff and peak flow rates using improved SCS-CN models for selected forested watersheds in the Southeastern United States.” J. Hydrol. Reg. Stud. 27 (Feb): 100645. https://doi.org/10.1016/j.ejrh.2019.100645.
Wang, F., W. Shao, H. Yu, G. Kan, X. He, D. Zhang, M. Ren, and G. Wang. 2020. “Re-evaluation of the power of the mann-kendall test for detecting monotonic trends in hydrometeorological time series.” Front. Earth Sci. 8 (Feb): 14. https://doi.org/10.3389/feart.2020.00014.
Weaver, J., T. D. Feaster, and A. J. Gotvald. 2009. Vol. 2 of Magnitude and frequency of rural floods in the Southeastern United States, through 2006. Reston, VA: USGS.
Weaver, W. E., and D. K. Hagans. 1994. Handbook for forest and ranch roads: A guide for planning, designing, constructing, reconstructing, maintaining and closing wildland roads. Washington, DC: Pacific Watershed Associates for Mendocino County Resource Conservation District in Cooperation with California Department of Forestry and Fire Protection and the USDA Soil Conservation Service.
Wright, D. B., J. A. Smith, and M. L. Baeck. 2014. “Flood frequency analysis using radar rainfall fields and stochastic storm transposition.” Water Resour. Res. 50 (2): 1592–1615. https://doi.org/10.1002/2013WR014224.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 26Issue 4April 2021

History

Received: Dec 23, 2019
Accepted: Oct 23, 2020
Published online: Jan 30, 2021
Published in print: Apr 1, 2021
Discussion open until: Jun 30, 2021

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Research Hydrologist, USDA Forest Service, Center for Forested Wetlands Research, 3734 Highway 402, Cordesville, SC 29434 (corresponding author). ORCID: https://orcid.org/0000-0003-2641-9267. Email: [email protected]
Formerly, Research Associate, Dept. of Biological and Agricultural Engineering, North Carolina State Univ., Weavers Lab, P.O. Box 7625, Raleigh, NC 27695. Email: [email protected]
D. A. Marion [email protected]
Formerly, Research Hydrologist, USDA Forest Service, Center for Bottomland Hardwoods, Research, P.O. Box 1270, Hot Springs, AR 71902. Email: [email protected]
P. Caldwell [email protected]
Research Hydrologist, USDA Forest Service, Coweeta Hydrologic Laboratory, 3160 Coweeta Lab Rd., Otto, NC 28763. Email: [email protected]
Biological Scientist, USDA Forest Service, Center for Integrated Forest Science, 90 Sloan Rd., Franklin, NC 28734. ORCID: https://orcid.org/0000-0001-7102-6230. Email: [email protected]
M. A. Youssef [email protected]
Professor, Dept. of Biological and Agricultural Engineering, Weavers Lab, P.O. Box 7625, North Carolina State Univ., Raleigh, NC 27695. Email: [email protected]
General Engineer, USDA Forest Service, Center for Forest Watershed Research, Florida A&M Univ., 1740 S. Martin Luther King Jr. Blvd., Perry-Paige Bldg., Suite 303 North, Tallahassee, FL 32307. ORCID: https://orcid.org/0000-0003-4900-2982. Email: [email protected]
G. M. Chescheir [email protected]
Research Associate Professor, Dept. of Biological and Agricultural Engineering, Weavers Lab, North Carolina State Univ., P.O. Box 7625, Raleigh, NC 27695. Email: [email protected]
Professor, Dept. of GIS and Geospatial Technology, Univ. of North Georgia, 3820 Mundy Mill Rd., Oakwood, GA 30566. Email: [email protected]
Research Hydrologist, USDA Forest Service, Center for Bottomland Hardwoods Research, 775 Stone Blvd., Thompson Hall, Room 309, Mississippi State, MS 39762. Email: [email protected]
Research Hydrologist, USDA Forest Service Eastern Forest Environmental Threat Assessment Center, 3041 East Cornwallis Rd., Research Triangle Park, NC 27709. ORCID: https://orcid.org/0000-0002-0159-1370. Email: [email protected]
Formerly, Senior Research Ecologist, USDA Forest Service, Southern Research Station, Forestry Sciences Laboratory, Center for Integrated Forest Science, P.O. Box 12254, Research Triangle Park, NC 27709. Email: [email protected]

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