Connecting the power-law scaling structure of peak-discharges to spatially variable rainfall and catchment physical properties

Advances in Water Resources

Volumn 71, Issue , 2014, Pages 32-43

  Ayalew, Tibebu B ^a   Krajewski, Witold F ^a   Mantilla, Ricardo ^a  

^a University of Iowa   (United States)

Author keywords

Flood; Hillslope; River network; Scaling; Streamflow

Indexed keywords

CATCHMENTS; FLOODS; FLOW VELOCITY; RUNOFF; STREAM FLOW;

ANTECEDENT MOISTURE; HILLSLOPES; HYDROLOGIC SIMULATIONS; POWER-LAW RELATIONSHIP; RAINFALL-RUNOFF EVENTS; RIVER NETWORK; RUNOFF COEFFICIENTS; SCALING;

RAIN;

CATCHMENT; DRAINAGE NETWORK; FLOOD; HILLSLOPE; HYDROLOGICAL MODELING; PEAK DISCHARGE; POWER LAW; RAINFALL; RUNOFF; STREAMFLOW;

CEDAR BASIN; IOWA; UNITED STATES;

EID: 84902356611     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2014.05.009     Document Type: Article

References (51)

1. Young P.C. Advances in real-time flood forecasting. Philos Trans A Math Phys Eng Sci 2002, 360:1433-1450. 10.1098/rsta.2002.1008.
2. Beven K. How far can we go in distributed hydrological modelling?. Hydrol Earth Syst Sci 2001, 5:1-12. 10.5194/hess-5-1-2001.
3. Sivapalan M. Process complexity at hillslope scale, process simplicity at the watershed scale: is there a connection?. Hydrol Process 2003, 17:1037-1041. 10.1002/hyp.5109.
4. Gupta V.K. Emergence of statistical scaling in floods on channel networks from complex runoff dynamics. Chaos Solitons Fractals 2004, 19:357-365. 10.1016/S0960-0779(03)00048-1.
5. Reed S., Koren V., Smith M., Zhang Z., Moreda F., Seo D.J., et al. Overall distributed model intercomparison project results. J Hydrol 2004, 298:27-60. 10.1016/j.jhydrol.2004.03.031.
6. Gupta V.K., Troutman B.M., Dawdy D.R. Towards a nonlinear geophysical theory of floods in river networks: an overview of 20years of progress. Nonlinear Dyn Geosci 2007, 121-151. 10.1007/978-0-387-34918-3_8.
7. Goodrich D.C., Lane L.J., Shillito R.M., Miller S.N., Syed K.H., Woolhiser D.A. Linearity of basin response as a function of scale in a semiarid watershed. Water Resour Res 1997, 33:2951-2965. 10.1029/97WR01422.
8. Ogden F.L., Dawdy D.R. Peak discharge scaling in small Hortonian watershed. J Hydrol Eng 2003, 8:64-73. 10.1061/(ASCE)1084-0699(2003)8:2(64).
9. Smith J.A., Baeck M.L., Villarini G., Krajewski W.F. The hydrology and hydrometeorology of flooding in the Delaware river basin. J Hydrometeorol 2010, 11:841-859. 10.1175/2010JHM1236.1.
10. Gupta V.K., Mantilla R., Troutman B.M., Dawdy D., Krajewski W.F. Generalizing a nonlinear geophysical flood theory to medium-sized river networks. Geophys Res Lett 2010, 37:L11402. 10.1029/2009GL041540.
11. Lima C.H.R., Lall U. Spatial scaling in a changing climate: a hierarchical bayesian model for non-stationary multi-site annual maximum and monthly streamflow. J Hydrol 2010, 383:307-318. 10.1016/j.jhydrol.2009.12.045.
12. Gupta V.K., Castro S.L., Over T.M. On scaling exponents of spatial peak flows from rainfall and river network geometry. J Hydrol 1996, 187:81-104. 10.1016/S0022-1694(96)03088-0.
13. Menabde M., Sivapalan M. Linking space-time variability of river runoff and rainfall fields: a dynamic approach. Adv Water Resour 2001, 24:1001-1014. 10.1016/S0309-1708(01)00038-0.
14. Mantilla R., Gupta V.K., Mesa O.J. Role of coupled flow dynamics and real network structures on Hortonian scaling of peak flows. J Hydrol 2006, 322:155-167. 10.1016/j.jhydrol.2005.03.022.
15. Mandapaka P.V., Krajewski W.F., Mantilla R., Gupta V.K. Dissecting the effect of rainfall variability on the statistical structure of peak flows. Adv Water Resour 2009, 32:1508-1525. 10.1016/j.advwatres.2009.07.005.
16. Ayalew T.B., Krajewski W.F., Mantilla R., Small S.J. Exploring the effects of hillslope-channel link dynamics and excess rainfall properties on the scaling structure of peak-discharge. Adv Water Resour 2014, 64:9-20. 10.1016/j.advwatres.2013.11.010.
17. Gupta V.K., Dawdy D.R. Physical interpretations of regional variations in the scaling exponents of flood quantiles. Hydrol Process 1995, 9:347-361. 10.1002/hyp.3360090309.
18. Robinson J.S., Sivapalan M. Temporal scales and hydrological regimes: implications for flood frequency scaling. Water Resour Res 1997, 33:2981-2999. 10.1029/97WR01964.
19. Eaton B., Church M., Ham D. Scaling and regionalization of flood flows in British Columbia, Canada. Hydrol Process 2002, 16:3245-3263. 10.1002/hyp.1100.
20. Gupta V.K., Waymire E. Spatial variability and scale invariance in hydrologic regionalization. Scale Depend. Scale Invariance Hydrol. 1998, 88-135. Cambridge University Press, Cambridge. 10.1017/CBO9780511551864.005. G. Sposito (Ed.).
21. Shreve R.L. Infinite topologically random channel networks. J Geol 1967, 178-186. 10.1086/627245.
22. Menabde M., Veitzer S., Gupta V.K., Sivapalan M. Tests of peak flow scaling in simulated self-similar river networks. Adv Water Resour 2001, 24:991-999. 10.1016/S0309-1708(01)00043-4.
23. Furey P.R., Gupta V.K. Effects of excess rainfall on the temporal variability of observed peak-discharge power laws. Adv Water Resour 2005, 28:1240-1253. 10.1016/j.advwatres.2005.03.014.
24. Furey P.R., Gupta V.K. Diagnosing peak-discharge power laws observed in rainfall-runoff events in Goodwin Creek experimental watershed. Adv Water Resour 2007, 30:2387-2399. 10.1016/j.advwatres.2007.05.014.
25. Mantilla R., Gupta V.K. A GIS numerical framework to study the process basis of scaling statistics in river networks. IEEE Geosci Remote Sens Lett 2005, 2:404-408. 10.1109/LGRS.2005.853571.
26. Anderson S.P., Dietrich W.E., Montgomery D.R., Torres R., Conrad M.E., Loague K. Subsurface flow paths in a steep, unchanneled catchment. Water Resour Res 1997, 33:2637-2653. 10.1029/97WR02595.
27. Anderson A.E., Weiler M., Alila Y., Hudson R.O. Subsurface flow velocities in a hillslope with lateral preferential flow. Water Resour Res 2009, 45:W11407. 10.1029/2008WR007121.
28. Mantilla R. Physical basis of statistical scaling in peak flows and stream flow hydrographs for topologic and spatially embedded random self-similar channel networks. The University of Colorado, 2007.
29. Cunha LK. Exploring the benefits of satellite remote sensing for flood prediction across scales. University of Iowa, 2012.
30. Small S.J., Jay L.O., Mantilla R., Curtu R., Cunha L.K., Fonley M., et al. An asynchronous solver for systems of ODEs linked by a directed tree structure. Adv Water Resour 2013, 53:23-32. 10.1016/j.advwatres.2012.10.011.
31. Mutel C.F. A Watershed Year: Anatomy of the Iowa Floods of 2008 2010, University of Iowa Press, Iowa City.
32. Smith J.A., Baeck M.L., Villarini G., Wright D.B., Krajewski W. Extreme flood response: the June 2008 flooding in Iowa. J Hydrometeorol 2013, 14:1810-1825. 10.1175/JHM-D-12-0191.1.
33. Veitzer S.A., Gupta V.K. Statistical self-similarity of width function maxima with implications to floods. Adv Water Resour 2001, 24:955-965. 10.1016/S0309-1708(01)00030-6.
34. Mantilla R., Gupta V.K., Troutman B.M. Scaling of peak flows with constant flow velocity in random self-similar networks. Nonlinear Process Geophys 2011, 18:489-502. 10.5194/npg-18-489-2011.
35. Kitzmiller D., Miller D., Fulton R., Ding F. Radar and multisensor precipitation estimation techniques in national weather service hydrologic operations. J Hydrol Eng 2013, 18:133-142. 10.1061/(ASCE)HE.1943-5584.0000523.
36. Cunha L.K., Mandapaka P.V., Krajewski W.F., Mantilla R., Bradley A.A. Impact of radar-rainfall error structure on estimated flood magnitude across scales: an investigation based on a parsimonious distributed hydrological model. Water Resour Res 2012, 48. 10.1029/2012WR012138.
37. Seo B.-C., Cunha L.K., Krajewski W.F. Uncertainty in radar-rainfall composite and its impact on hydrologic prediction for the eastern Iowa flood of 2008. Water Resour Res 2013, 49:2747-2764. 10.1002/wrcr.20244.
38. Di Lazzaro M., Volpi E. Effects of hillslope dynamics and network geometry on the scaling properties of the hydrologic response. Adv Water Resour 2011, 34:1496-1507. 10.1016/j.advwatres.2011.07.012.
39. Botter G., Rinaldo A. Scale effect on geomorphologic and kinematic dispersion. Water Resour Res 2003, 39:1286. 10.1029/2003WR002154.
40. Leopold L.B., Wolman M.G., Miller J.P. Fluvial Processes in Geomorphology 1964, W.H. Freeman, San Francisco.
41. Huff D.D., O'Neill R.V., Emanuel W.R., Elwood J.W., Newbold J.D. Flow variability and hillslope hydrology. Earth Surf Process Landforms 1982, 7:91-94. 10.1002/esp.3290070112.
42. Main I.G., Leonard T., Papasouliotis O., Hatton C.G., Meredith P.G. One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships. Geophys Res Lett 1999, 26:2801-2804. 10.1029/1999GL005372.
43. Carpenter T.M., Georgakakos K.P. Impacts of parametric and radar rainfall uncertainty on the ensemble streamflow simulations of a distributed hydrologic model. J Hydrol 2004, 298:202-221. 10.1016/j.jhydrol.2004.03.036.
44. Grimaldi S., Petroselli A., Alonso G., Nardi F. Flow time estimation with spatially variable hillslope velocity in ungauged basins. Adv Water Resour 2010, 33:1216-1223. 10.1016/j.advwatres.2010.06.003.
45. Robinson J.S., Sivapalan M., Snell J.D. On the relative roles of hillslope processes, channel routing, and network geomorphology in the hydrologic response. Water Resour Res 1995, 31:3089-3101. 10.1029/95WR01948.
46. D'Odorico P., Rigon R. Hillslope and channel contributions to the hydrologic response. Water Resour Res 2003, 39:1113. 10.1029/2002WR001708.
47. Saco P.M., Kumar P. Kinematic dispersion effects of hillslope velocities. Water Resour Res 2004, 40:W01301. 10.1029/2003WR002024.
48. Merz R., Blöschl G., Parajka J. Spatio-temporal variability of event runoff coefficients. J Hydrol 2006, 331:591-604. 10.1016/j.jhydrol.2006.06.008.
49. Merz R., Blöschl G. A regional analysis of event runoff coefficients with respect to climate and catchment characteristics in Austria. Water Resour Res 2009, 45:1-19. 10.1029/2008WR007163.
50. Merz B., Plate E.J. An analysis of the effects of spatial variability of soil and soil moisture on runoff. Water Resour Res 1997, 33:2909-2922. 10.1029/97WR02204.
51. Mulvany TJ. On the use of self-registering rain and flood gauges. Mak Obs Relations Rain Fall Flood Discharges a Given Catchment Transactions Minutes. Proc Inst Civ Eng Ireland, Dublin, Ireland, Sess 1850;1.