A stochastic approach for the description of the water balance dynamics in a river basin

Hydrology and Earth System Sciences

Volumn 12, Issue 5, 2008, Pages 1189-1200

  Manfreda, S ^a   Fiorentino, M ^a  

^a UNIVERSITY OF BASILICATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EVAPOTRANSPIRATION; MODEL TEST; NUMERICAL MODEL; PRECIPITATION INTENSITY; PROBABILITY DENSITY FUNCTION; RIVER BASIN; SOIL WATER; SPATIAL DISTRIBUTION; STOCHASTICITY; WATER BUDGET;

EID: 54249160486     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-12-1189-2008     Document Type: Article

References (45)

1. Abramowitz, M. and Stegun, I. A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York, Dover, 1046 pp., 1964.
2. Arnold, L.: Stochastic Differential Equations: Theory and Applications, John Wiley & Sons, New York, 228 pp., 1974.
3. Beven, K. J. and Kirkby, M. J.: A physically-based variable contributing area model of basin hydrology, Hydrol. Sci. B., 24(1), 43-69, 1979.
4. Botter, G., Porporato, A., Rodríguez-Iturbe, I., and Rinaldo, A.: Basin-scale soil moisture dynamics and the probabilistic characterization of carrier hydrologic flows: leaching-prone components of the hydrologic responce, Water Resour. Res., 43, W02417, doi:10.1029/2006WR005043, 2007a.
5. Botter, G., Porporato, A., Daly, E., Rodríguez-Iturbe, I., and Rinaldo, A.: Probabilistic characterization of base flows in river basins: Roles of soil, vegetation, and geomorphology, Water Resour. Res., 43, W06404, doi:10.1029/2006WR005397, 2007b.
6. Caylor, K. K., Manfreda, S., and Rodríguez-Iturbe, I.: On the coupled geomorphological and ecohydrological organization of river basins, Adv. Water Resour., 28(1), 69-86, 2005.
7. Chen, X., Chen, Y. D., and Xu, C.-Y: A distributed monthly hydrological model for integrating spatial variations of basin topography and rainfall, Hydrol. Process., 21(2), 242-252, 2007.
8. Dunne, T. and Black, R.: An Experimental Investigation of Runoff Production in Permeable Soils, Water Resour. Res., 6(2), 478-490, 1970.
9. Entekhabi, D. and Rodríguez-Iturbe, I.: An analytic framework for the characterization of the space-time variability of soil moisture, Adv. Water Resour., 17, 25-45, 1994.
10. Florentino, M., Gioia, A., Iacobellis, V., and Manfreda, S.: Analysis on flood generation processes by means of a continuous simulation model, Adv. Geosci., 7, 231-236, 2006, http://www.adv-geosci.net/7/231/2006/.
11. Fiorentino, M., Manfreda, S., and Iacobellis, V.: Peak Runoff Contributing Area as Hydrological Signature of the Probability Distribution of Floods, Adv. Water Resour., 30, 2123-2134, 2007.
12. Guo, F., Liu, X. R., and Ren, L. L.: Topography based watershed hydrological model-TOPOMODEL and its application, Advances in Water Science, 11(3), 296-301, 2000 (in Chinese).
13. Hewlett, J. D. and Hibbert, A. R., Factors affecting the response of small watersheds to precipitation in humid areas, in: Forest Hydrology, edited by: Sopper, W. E. and Lull, H. W., Pergamon Press, 275-290, 1967.
14. Isham, V., Cox, D. R., Rodríguez-Iturbe, I., Porporato, A., and Manfreda, S.: Mathematical characterization of the space-time variability of soil moisture, Proc. R. Soc. Lon. Ser.-A., 461(2064), 4035-4055, 2005.
15. Jawson, S. D. and Niemann, J. D.: Spatial patterns from EOF analysis of soil moisture at a large scale and their dependence on soil, land-use, and topographic properties, Adv. Water Resour., 30(3), 366-381, 2007.
16. Kim, G. and Barros, A. P.: Space-time characterization of soil moisture from passive microwave remotely sensed imagery and ancillary data, Remote Sens. Environ., 81, 393-403, 2002.
17. Laio, F., Porporato, A., Fernandez-Illescas, C. P., and RodríguezIturbe, I.: Plants in water-controlled ecosystems: Active role in hydrologie processes and response to water stress, IV: Discussion of real cases, Adv. Water Resour., 24, 745-762, 2001.
18. Manfreda, S., Florentino, M., and Iacobellis, V.: DREAM: a distributed model for runoff, evapotranspiration, and antecedent soil, moisture simulation, Adv. Geosci., 2, 31-39, 2005, http://www.adv-geosci.net/2/31/2005/.
19. Manfreda, S., Porporato, A., and Rodríguez-Iturbe, I.: Dinamiche spazio-tempo dell'umidità del suolo: la struttura stocastica éd. il campionamento, Giornata di Studio: Metodi Statistici e Matematici, per l'Analisi delle Serie Idrologiche, edit by: Piccolo, D. and Ubertini, L., Viterbo, 25-38, 2006 (in Italian).
20. Manfreda, S. and Rodríguez-Iturbe, I.: On the Spatial and Temporal Sampling of Soil Moisture Fields, Water Resour. Res., 42, W05409, doi: 10.1029/2005WR004548, 2006.
21. Montaldo, N., Rondena, R., and Albertson, J. D.: Parsimonious modeling of vegetation dynamics for ecohydrological studies of water-limited ecosystems, Water Resour. Res., 41, W10416, doi:10.1029/2005WR004094, 2005.
22. Moore, R. J. and Clarke, R. T.: A distribution function approach to rainfall runoff modelling, Water Resour. Res., 17, 1367-1382, 1981.
23. Moore, R. J.: The probability-distributed principle and runoff production at point and basin scales, Hydrol. Sci., 30, 273-297, 1985.
24. Moore, R. J.: Real-time flood forecasting system: perspectives and prospects, in: Flood and landslides: Integrated risk assessment, edited by: Casal, R. and Margottini, C., Springer, 147-189, 1999.
25. Pan, F., Peters-Lidard, C. D., and Sale, M. J.: An analytical method for predicting surface soil moisture from rainfall observations, Water Resour. Res., 39(11), 1314, doi:10.1029/2003WR002142, 2003.
26. Porporato, A., Daly, E., and Rodríguez-Iturbe, I.: Soil water balance and. ecosystem response to climate change, Am. Nat., 164(5), 625-633, 2004.
27. Porporato, A., Laio, F., Ridolfi, L., and Rodríguez-Iturbe, I.: Plants in water controlled ecosystems: Active role in hydrological processes and response to water stress, III: Vegetation water stress, Adv. Water Resour., 24, 725-744, 2001.
28. Prudnikov, A. P., Brychkov, Y. A., and Marichev, O. I.: Integrals and Series, Volume 1, Elementary Functions, Gordon and Breach Science Publishers, New York, 798 pp., 1986.
29. Rigby, J. R. and Porporato, A.: Simplified stochastic soil-moisture models: a look at infiltration, Hydrol. Earth Syst. Sci., 10, 861-871, 2006, http://www.hydro.l-earth-syst-sci.net/10/861/2006/.
30. Rodríguez-Iturbe, I. and Porporato, A.: Ecohydrology of Water-controlled Ecosystems: Soil Moisture and Plant Dynamics, Cambridge University Press, Cambridge, UK, 460 pp., 2004.
31. Rodríguez-Iturbe, I., Porporato, A., Ridolfi, L., Isham, V., and Cox, D. R.: Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation, Proc. R. Soc. Lon. Ser.-A., 455, 3789-3805, 1999.
32. Rodríguez-Iturbe, I., Isham, V., Cox, D. R., Manfreda, S., and Porporato, A.: Space-time modeling of soil moisture: Stochastic rainfall forcing with heterogeneous vegetation, Water Resour. Res., 42, W06D05, doi:10.1029/2005WR004497, 2006.
33. Scanlon, T. M., Caylor, K. K., Manfreda, S., Levin, S. A., and Rodríguez-Iturbe, I.: Dynamic Response of Grass Cover to Rainfall. Variability: Implications the Function and Persistence of Savanna Ecosystems, Adv. Water Resour., 28(3), 291-302, 2005.
34. Sivapalan, M. and Woods, R. A.: Evaluation of the effects of general circulation models' subgrid variability and patchiness of rainfall, and soil moisture on land surface water balance fluxes, Hydrol. Process., 9, 697-717, 1995.
35. Sivapalan, M., Woods, R. A., and Kalma, Y D.: Variable bucket representation of topmodel and investigation of the effects of rainfall heterogeneity, Hydrol. Process., 11, 1307-1330, 1997.
36. Todini, E.: The ARNO rainfall-runoff model, J. Hydrol., 175, 339-382, 1996.
37. Western, A. W., Grayson, R. B., and Blöschl, G.: Scaling of soil moisture: A hydrologic perspective, Annu. Rev. Earth Pl. Sc., 30, 149-180, 2002.
38. Wilson, D. J., Western, A. W., and Grayson, R. B.: Identifying and quantifying sources of variability in temporal and spatial soil moisture observations, Water Resour. Res., 40, W02507, doi:10.1029/2003WR002306, 2004.
39. Wood, E. F., Lettenmaier, D. P., and Zartarian, V. G.: A land-surface hydrology parametrization with subgrid varibility for general circulation models, J. Geophys. Res., 97, 2717-2728, 1992.
40. van Wijk, M. T. and Rodríguez-Iturbe, I.:Tree-grass competition in space and time: Insights from a simple cellular automata model based on ecohydrological dynamics, Water Resour. Res., 38(9), 1179, doi:10.1029/ 2001WR000768, 2002.
41. Veneziano, D., Furcolo, P., and Iacobellis, V.: Multifractality of iterated pulse processes with pulse amplitudes generated by a random cascade, Fractals, 10(2), 209-22, 2002.
42. Zhao, R.-J. and Wang P. L.: Parameter determination of Xinanjiang model, Hydrology, 6, 2-9, 1988 (in Chinese).
43. Zhao, R.-J., Zhang, Y. L., and Fang, L. R.: The Xinanjiang model, Hydrological Forecasting Proceedings Oxford Symposium, IAHS Publication No. 129, 351-356, 1980.
44. Zhao, R.-J.: The Xinanjiang model applied in China, J. Hydrol., 135, 371-381, 1992.
45. Zhao, R.-J.: Water Hydrological. Modeling-Xinanjiang Model and Shanbei Model, China Water Resources and Hydropower Publishing House, Beijing, 125-129, 1984 (in Chinese).