Similarity of climate control on base flow and perennial stream density in the Budyko framework

Hydrology and Earth System Sciences - Tập 17 Số 1 - Trang 315-324
Dingbao Wang1, Liuliu Wu1
1Department of Civil, Environmental, and Construction Engineering, University of Central Florida, Orlando, FL 32816, USA

Tóm tắt

Abstract. Connection between perennial stream and base flow at the mean annual scale exists since one of the hydrologic functions of perennial stream is to deliver runoff even in low flow seasons. The partitioning of precipitation into runoff and evaporation at the mean annual scale, on the first order, is captured by the ratio of potential evaporation to precipitation (EP/P called climate aridity index) based on Budyko hypothesis. Perennial stream density (DP), which is obtained from the high resolution National Hydrography Dataset, for 185 watersheds declines monotonically with climate aridity index, and an inversely proportional function is proposed to model the relationship between DP and EP/P. The monotonic trend of perennial stream density reconciles with the Abrahams curve since perennial stream density is only a small portion of the total drainage density. The correlation coefficient between the ratio of base flow to precipitation (Qb/P), which follows a complementary Budyko type curve and perennial stream density is found to be 0.74. The similarity between Qb/P and DP reveals the co-evolution between water balance and perennial stream network.

Từ khóa


Tài liệu tham khảo

Abrahams, A. D.: Channel Networks: A Geomorphological Perspective, Water Resour. Res., 20, 161–188, https://doi.org/10.1029/WR020i002p00161, 1984.

Abrahams, A. D. and Ponczynksi, J. J.: Drainage density in relation to precipitation intensity in the USA, J. Hydrol., 75, 383–388, 1984.

Berger, K. P. and Entekhabi, D.: Basin hydrologic response relations to distributed physiographic descriptors and climate, J. Hydrol., 47, 169–182, 2001.

Blyth, K. and Rodda, J. C.: A stream length study, Water Resour. Res., 9, 1454–1461, https://doi.org/10.1029/WR009i005p01454, 1973.

Budyko, M. I.: The Heat Balance of the Earth's Surface, translated from Russian by: Stepanova, N. A., 259 pp., US Dep. of Commer., Washington DC, 1958.

Budyko, M. I.: Climate and Life, 508 pp., Academic Press, New York, 1974.

Carlston, C. W.: Drainage Density and Stream Flow: US Geological Survey Professional Paper No. 422-C, 1–8, 1963.

Collins, D. B. G. and Bras, R. L.: Climatic and ecological controls of equilibrium drainage density, relief, and channel concavity in dry lands, Water Resour. Res., 46, W04508, https://doi.org/10.1029/2009WR008615, 2010.

Day, D. G.: Drainage density changes during rainfall, Earth Surf. Processes, 3, 319–326, 1978.

De Wit, M. and Stankiewicz, J.: Changes in surface water supply across Africa with predicted climate chang, Science, 311, 1917–21, 2006.

Donohue, R. J., Roderick, M. L., and McVicar, T. R.: On the importance of including vegetation dynamics in Budyko's hydrological model, Hydrol. Earth Syst. Sci., 11, 983–995, https://doi.org/10.5194/hess-11-983-2007, 2007.

Duan, Q., Schaake, J., Andréassian, V., Franks, S., Goteti, G., Gupta, H. V., Gusev, Y. M., Habets, F., Hall, A., Hay, L., Hogue, T., Huang, M., Leavesley, G., Liang, X., Nasonova, O. N., Noilhan, J., Oudin, L., Sorooshian, S., Wagener, T., and Wood, E. F.: The Model Parameter Estimation Experiment (MOPEX): An overview of science strategy and major results from the second and third workshops, J. Hydrol., 320, 3–17, 2006.

Fu, B. P.: On the calculation of the evaporation from land surface, Scientia Atmospherica Sinica, 5, 23–31, 1981.

Gerrits, A. M. J., Savenije, H. H. G., Veling, E. J. M., and Pfister, L.: Analytical derivation of the Budyko curve based on rainfall characteristics and a simple evaporation model, Water Resour. Res., 45, W04403, https://doi.org/10.1029/2008WR007308, 2009.

Goulsbra, C., Evans, M., and Lindsay, J.: Temporary streams in a peatland catchment: the pattern and timing of stream network expansion and contraction and controls on these, Geophys. Res. Abstr., 14, EGU2012-11014-1, 2012.

Gregory, K. J.: Drainage networks and climate, in: Geomorphology and Climate, edited by: Derbyshire, E., 289–315, John Wiley, New York, 1976.

Harman, C. J., Troch, P. A., and Sivapalan, M.: Functional model of water balance variability at the catchment scale: 2. Elasticity of fast and slow runoff components to precipitation change in the continental United States, Water Resour. Res., 47, W02523, https://doi.org/10.1029/2010WR009656, 2011.

Horton, R. E.: Drainage basin characteristics, Eos Trans., 13, 350–361, 1932.

Horton, R. E.: Erosional development of streams and their drainage basins: hydro-physical approach to quantitative morphology, Geol. Soc. Am. Bull., 56, 275–370, 1945.

Hunrichs, R. A.: Identification and classification of perennial streams of Arkansas, US Geological Survey, Water Resources Investigations Report 83-4063, 1983.

Ivkovic, K. M.: A top-down approach to characterise aquifer-river interaction processes, J. Hydrol., 365, 145-155, 2009.

Johnston, C. A. and Shmagin, B. A.: Regionalization, seasonality, and trends of streamflow in the US Great Lakes Basin, J. Hydrol., 362, 69–88, 2008.

Kelson, K. I. and Wells, S. G.: Geologic influences on fluvial hydrology and bedload transport in small mountainous watersheds, northern New Mexico, USA, Earth Surf. Proc. Land., 14, 671–690, 1989.

Lyne, V. and Hollick, M.: Stochastic time-variable rainfall-runoff modeling, In: Proc. Hydrology and Water Resources Symposium, Perth, 89–92, Inst. Of Engrs, Australia, 1979.

Madduma Bandara, C. M.: Drainage density and effective precipitation, J. Hydrol., 21, 187–190, 1974.

McIntosh, B. A., Sedell, J. R., Thurow, R. F., Clarke, S. E., and Chandler, G. L.:, Historical changes in pool habitats in the Columbia River Basin, Report to the Eastside Ecosystem Management Project, Walla Walla, WA, 1995.

Meinzer, O. E.:, Outline of ground-water hydrology, with definitions, Washington, DC, US Geological Survey, Water Supply Paper 494, 1923.

Melton, M. A.: An analysis of the relations among elements of climate, surface properties, and geomorphology, Tech. Rep. 11, Off. Nav. Res. Proj. 389-042, Dep. of Geol., Columbia Univ., New York, 1957.

Merz, R. and Blöschl, G.: Flood frequency hydrology: 1. Temporal, spatial, and causal expansion of information, Water Resour. Res., 44, W08432, https://doi.org/10.1029/2007WR006744, 2008.

Milly, P. C. D.: Climate, soil water storage, and the average annual water balance, Water Resour. Res., 30, 2143–2156, 1994.

Moglen, G. E., Eltahir, E. A. B., and Bras, R. L.: On the sensitivity of drainage density to climate change, Water Resour. Res., 34, 855–862, 1998.

Montgomery, D. R. and Dietrich, W. E.: Where do channels begin?, Nature, 336, 232–234, 1988.

Pallard, B., Castellarin, A., and Montanari, A.: A look at the links between drainage density and flood statistics, Hydrol. Earth Syst. Sci., 13, 1019–1029, https://doi.org/10.5194/hess-13-1019-2009, 2009.

Perron, J. T., Mitrovica, J. X., Manga, M., Matsuyama, I., and Richards, M. A.: Evidence of an ancient martian ocean in the topography of deformed shorelines, Nature, 447, 840–843, 2007.

Pike, J. G.: The estimation of annual runoff from meteorological data in a tropical climate, J. Hydrol., 2, 116–123, 1964.

Sankarasubramanian, A. and Vogel, R. M.: Annual hydroclimatology of the United States, Water Resour. Res., 38, 1083, https://doi.org/10.1029/2001WR000619, 2002a.

Sankarasubramanian, A. and Vogel, R. M.: Comment on: "Basin hydrologic response relations to distributed physiographic descriptors and climate", J. Hydrol., 263, 257–261, 2002b.

Simley, J.: National Hydrography Dataset Newsletter, US Geological Survey Report, Vol. 2, 2003.

Simley, J.: National Hydrography Dataset Newsletter, US Geological Survey Report, Vol. 5, 2006.

Simley, J.: National Hydrography Dataset Newsletter, US Geological Survey Report, Vol. 6, 2007.

Sivapalan, M.: Pattern, processes and function: elements of a unified theory of hydrology at the watershed scale, in: Encyclopedia of hydrological sciences, edited by: Anderson, M., London, John Wiley, 193–219, 2005.

Sivapalan, M., Yaeger, M. A., Harman, C. J., Xu, X., and Troch, P. A.: Functional model of water balance variability at the catchment scale: 1. Evidence of hydrologic similarity and space-time symmetry, Water Resour. Res., 47, W02522, https://doi.org/10.1029/2010WR009568, 2011.

Thornthwaite, C.: The climates of North America according to a new classification, Geogr. Rev., 21, 633–655, 1931.

Turc, L.: Le bilan d'eau des sols: Relation entre les precipitations, l'evaporation er l'ecoulement, Ann. Agron., 5, 491–569, 1954.

Van Beek, L. P. H. and Bierkens, M. F. P.: The global hydrological model PCR-Globwb: conceptualization, parameterization and verification, Report Department of Physical Geography, Utrecht University, Utrecht, The Netherlands, available at: http://vanbeek.geo.uu.nl/suppinfo/vanbeekbierkens2009.pdf (last access: 23 January 2013), 2008.

Wagener, T., Sivapalan, M., Troch, P., and Woods, R.: Watershed classification and hydrologic similarity, Geography Compass, 1, 901, doi10.1111/j.1749-8198.2007.00039.x, 2007.

Wang, D. and Alimohammadi, N.: Responses of annual runoff, evaporation and storage change to climate variability at the watershed scale, Water Resour. Res., 48, W05546, https://doi.org/10.1029/2011WR011444, 2012.

Wang, D. and Hejazi, M.: Quantifying the relative contribution of the climate and direct human impacts on mean annual streamflow in the contiguous United States, Water Resour. Res., 47, W00J12, https://doi.org/10.1029/2010WR010283, 2011.

Wigington, P. J., Moser, T. J., and Lindeman, D. R.: Stream network expansion: a riparian water quality factor, Hydrol. Process., 19, 1715–1721, 2005.

Wu, H., Kimball, J. S., Mantua, N., and Stanford, J.: Automated upscaling of river networks for macroscale hydrological modeling, Water Resour. Res., 47, W03517, https://doi.org/10.1029/2009WR008871, 2011.

Yang, D., Sun, F., Liu, Z., Cong, Z., Ni, G., and Lei, Z.: Analyzing spatial and temporal variability of annual water-energy balance in nonhumid regions of China using the Budyko hypothesis, Water Resour. Res., 43, W04426, https://doi.org/10.1029/2006WR005224, 2007.

Yang, H., Yang, D., Lei, Z., and Sun, F.: New analytical derivation of the mean annual water-energy balance equation, Water Resour. Res., 44, W03410, https://doi.org/10.1029/2007WR006135, 2008.

Yokoo, Y., Sivapalan, M., and Oki, T.: Investigating the roles of climate seasonality and landscape characteristics on mean annual and monthly water balances, J. Hydrol., 357, 255–269, 2008.

Zhang, L., Potter, N., Hickel, K., Zhang, Y., and Shao, Q.: Water balance modeling over variable time scales based on the Budyko framework – Model development and testing, J. Hydrol., 360, 117–131, 2008.

Zhang, L., Dawes, W. R., and Walker, G. R.: Response of mean annual evapotranspiration to vegetation changes at watershed scale, Water Resour. Res., 37, 701–708, 2001.