Evaluating Watershed Experiments through Recursive Residual Analysis
Publication: Journal of Irrigation and Drainage Engineering
Volume 136, Issue 5
Abstract
The question of watershed response to changes in land use and land cover has received a great deal of attention in the hydrologic literature. One of the primary tools for quantifying such changes has been the paired watershed approach. In general this approach applies a linear regression analysis to relate water yield from a control watershed to a physiographically similar watershed in close proximity, and to predict changes in yield following treatment. Although much research on paired watershed experiments has focused on quantification of the impacts of land-use and land cover changes on water yield, little attention has been brought to evaluating explicitly the methodology used to quantify such effects. An alternative method is proposed for examining treatment impacts and their duration, through the application of a cumulative recursive residual test of model stability. The results from a paired watershed study of ponderosa pine watersheds in north-central Arizona are analyzed using both a traditional linear regression analysis and a recursive residuals approach. The results suggest that the linear regression approach may fail to account for the true complexity of watershed response to vegetation treatments, by underestimating the interactions of treatment impacts, shifts in climatic drivers, and revegetation rates.
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References
Bosch, J. M., and Hewlett, J. D. (1982). “A review of catchment experiments to determine the effect of vegetation changes on water yield and evapotranspiration.” J. Hydrol., 55(1–4), 3–23.
Brown, R. L., Durbin, J., and Evans, J. M. (1975). “Techniques for testing the constancy of regression relationship over time.” J. R. Stat. Soc. Ser. B (Stat. Methodol.), 37, 149–192.
Buchtele, J., Herrmann, A., Marage, F., and Bajracharya, O. J. (1998). “Simulation of effects of land-use changes on runoff and evapotranspiration.” Hydrology, water resources and ecology in headwaters, Vol. 248, K. Kovar, U. Tappeiner, N. E. Peters, and R. G. Craig, eds., International Association Hydrological Sciences, IAHS Press, Institute of Hydrology, Oxfordshire, U.K., 248, 99–106.
Burns, R. G., and Hewlett, J. D. (1983). “A decision model to predict sediment yield from forest practices.” Water Resour. Bull., 19(1), 9–14.
Bustamante-Gonzales, A. (2000). “Hydrologic effects of vegetative practices on ponderosa pine watersheds in Arizona.” Ph.D. dissertation, Univ. of Arizona, Tucson, Ariz.
Clausen, J. C., and Spooner, J. (1993). “Paired watershed design.” Rep. No. 841-F-93-009, U.S. EPA, Washington, D.C.
Colenbrander, H. J. (1980). “Casebook of methods of computation of quantitative changes in the hydrological regime of river basins due to human activities.” Project 5.1 of the International Hydrological Programme, Studies and Reports in Hydrology, Vol. 28, UNESCO, Paris.
Ffolliott, P. F., Gottfried, G. J., and Baker, M. B., Jr. (1989). “Water yield from forest snowpack management: Research findings in Arizona and New Mexico.” Water Resour. Res., 25, 1999–2007.
Grace, J. M., III, Skaggs, R. W., and Chescheir, G. M. (2006). “Hydrologic and water quality effects of thinning Loblolly Pine.” Trans. ASABE, 49(3), 645–654.
Greene, W. H. (2003). Econometric analysis, 5th Ed., Prentice-Hall, Upper Saddle River, N.J.
Hjort, N. L., and Koning, A. (2002). “Tests for constancy of model parameters over time.” J. Nonparametr. Statist., 14(1–2), 113–132.
Jones, J. A., and Post, D. A. (2004). “Seasonal and successional streamflow response to forest cutting and regrowth in the northwest and eastern United States.” Water Resour. Res., 40, W05203.
Kianifard, F., and Swallow, W. H. (1996). “A review of the development and application of recursive residuals in linear models.” J. Am. Stat. Assoc., 91(433), 391–400.
Lindley, A. J. (1988). “An appraisal of the paired catchment experimental method.” MS thesis, Univ. of Melbourne, Victoria, Australia.
Loftis, J. C., MacDonald, L. H., Streett, S., Iyer, H. K., and Bunte, K. (2001). “Detecting cumulative watershed effects: The statistical power of pairing.” J. Hydrol., 251(1–2), 49–64.
Lopes, V. L., and Canfield, H. E. (2004). “Effects of watershed representation on runoff and sediment yield modeling.” J. Am. Water Resour. Assoc., 40(2), 311–319.
Lopes, V. L., Ffolliott, P. F., and Baker, M. B., Jr. (2001). “Impacts of vegetative practices on suspended sediment from watersheds of Arizona.” J. Water Resour. Plann. Manage., 127(1), 41–47.
Stednick, J. D. (1996). “Monitoring the effects of timber harvest on annual water yield.” J. Hydrol., 176(1–4), 79–95.
Sun, G., Zuo, C., Liu, S., Liu, M., McNulty, S. G., and Vose, J. M. (2008). “Watershed evapotranspiration increased due to changes in vegetation composition and structure under a subtropical climate.” J. Am. Water Resour. Assoc., 44(5), 1164–1175.
Williams, J. A., and Anderson, T. C. (1967). “Soil survey of Beaver Creek area, Arizona.” USDA Forest Service and Soil Conservation Service, and Arizona Agricultural Experiment Station, U.S. GPO, Washington, D.C., ⟨http://beavercreek.nau.edu/assets/publications/Publications/Geology/Soil Survey.pdf⟩ (Jan. 12, 2009).
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Published In
Journal of Irrigation and Drainage Engineering
Volume 136 • Issue 5 • May 2010
Pages: 348 - 353
Copyright
© 2010 ASCE.
History
Received: Feb 3, 2009
Accepted: Nov 20, 2009
Published online: Nov 23, 2009
Published in print: May 2010
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