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Nonlinearity and Time-variance of the Hydrologic Response of a Small Mountain Creek

  • Elpidio Caroni
  • Renzo Rosso
  • Franco Siccardi
Part of the Water Science and Technology Library book series (WSTL, volume 6)

Abstract

This paper stresses the dynamic nature of the hydrologic response of a small alpine catchment. The time-scale of the catchment response to an input of rainfall excess has been found to depend mainly on the peak flow rate of the surface runoff. A nonlinear model, providing for variable time-scale or lag-time, should therefore be parameterized in terms of geomorphologic and hydraulic characteristics of the catchment in order to represent the rainfall-runoff transformation. Moreover, nonlinearity is found to decrease with increasing storm intensity. The linear assumption can thus represent quite satisfactorily this transformation in order to perform major flood analyses also for “small” catchments, i.e., at the “elementary” basin scale. Reliable estimates of the bankful discharge are required for the purpose of estimating the average time-space streamflow velocity in this case.

Keywords

Rainfall Intensity Stream Network Water Resource Research Basin Scale Hydrologic Response 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Anselmo, V., DiNunzio, F. and Dogone, F., 1982. Hydrological Investigations in a Small Catchment, Proc. Symp. Hydrology. Res. Basins, Sonderh. Landeshydrologie, Bern, 2, pp. 259–268.Google Scholar
  2. Anselmo, V. and Ubertini, L., 1979. Transfer Function — Noise Model Applied to Flow Forecasting. Hydrol. Sci. Bull., 24: pp. 353–359.CrossRefGoogle Scholar
  3. Caroni, E. and Tropeano, D., 1981. Rate of Erosion Processes on Experimental Areas in the Marchiazza Basin (Northwestern Italy). Proc. Symp. “Erosion and Sediment Transport Measurement,” Florence, June 22–26, IAHS Publ. no. 133, pp. 457–466.Google Scholar
  4. Chiu, C. and Bittler, R.P., 1969. Linear Time-Varying Model of Rainfall Runoff Relation. Water Resources Research, 5(2), pp. 426–437.CrossRefGoogle Scholar
  5. Diskin, J.C.I., 1973. The Role of Lag in a Quasi-Linear Analysis of the Surface Runoff System. Proc. 2nd Int. Symp. Hydrology, Water Resources Publications, Fort Collins, CO, pp 133–144.Google Scholar
  6. Diskin, J.C. I., 1982. Nonlinear Hydrologic Models. In: Singh V.P. (Editor), Rainfall-Runoff Relationship. Water Resources Publications, Fort Collins, CO, pp. 127–146.Google Scholar
  7. Dooge, J.C.I., 1973. Linear Theory of Hydrologic Systems. Techn. Bull., no. 1468, U.S. Department of Agriculture, Washington, 327 pp.Google Scholar
  8. Dooge, J.C.I., 1979. Alternative Approaches to Flow Problems. Proc. XVIII Cong. IAHR, Cagliari, September 10–14, 2, pp. 28–55.Google Scholar
  9. Gupta, V.K., Waymire, E. and Wang, T.C., 1980. A Representation of an Instantaneous Unit Hydrograph from Geomorphology. Water Resources Research, 16(5), pp. 855–862.CrossRefGoogle Scholar
  10. Mandeville, A.N. and O’Donnell, T., 1973. Introduction of Time Variance to Linear Conceptual Catchment Models. Water Resources Research, 9(2), pp. 298–310.CrossRefGoogle Scholar
  11. Nash, J.E., 1960. A Unit Hydrograph Study with Particular Reference to British Catchments. Proc. Instn. Civ. Engrs., 17, pp. 249–282.CrossRefGoogle Scholar
  12. Nash, J.E. and Sutcliffe, J.V., 1970. River Flow Forecasting Through Conceptual Models, 1, A Discussion of Principles, J. Hydrol., 10, pp. 282–290.CrossRefGoogle Scholar
  13. Pilgrim, D.H., 1983. Some Problems in Transferring Hydrological Relationships Between Small and Large Drainage Basins and Between Regions. J. Hydrol., 65(1/3), pp. 49–72.CrossRefGoogle Scholar
  14. Reed, D.W., Johnson, P. and Firth, J.M., 1975. A Nonlinear Rainfall-Runoff Model Providing for Variable Lag-Time. J. Hydrol., 25, pp. 295–305.CrossRefGoogle Scholar
  15. Rodríguez-Iturbe, I., and Valdés, J.B., 1979. The Geomorphologic Structure of the Hydrologic Response. Water Resources Research, 15(6), pp. 1409–1420.CrossRefGoogle Scholar
  16. Rodríguez-Iturbe, I., Gonzales-Sanabria, M. and Bras, R.L., 1982. The Geomorphoclimatic Theory of the Instantaneous Unit Hydrograph. Water Resources Research, 18(4), pp. 877–886.CrossRefGoogle Scholar
  17. Rosso, R., 1984. Nash Model Relation to Horton Order Ratios. Water Resources Research, 20(7), pp. 914–920.CrossRefGoogle Scholar
  18. Rosso, R. and Tazioli, G.S., 1979. Suspended Sediment Transport During Flood Flows from a Small Catchment. Proc. XVIII Congr. IAHR, Cagliari, September 10–14, 5, pp. 65–72.Google Scholar
  19. Wang, C.T., Gupta, V.K. and Waymire, JE., 1981. A Geomorphologic Synthesis of Nonlinearity in Surface Runoff. Water Resources Research, 17(3), pp. 545–554.CrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • Elpidio Caroni
  • Renzo Rosso
  • Franco Siccardi

There are no affiliations available

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