Skip to main content
Erschienen in: Water Resources Management 10/2017

03.05.2017

Flood Forecasting and Decision Making in the new Millennium. Where are We?

verfasst von: Ezio Todini

Erschienen in: Water Resources Management | Ausgabe 10/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper reviews the development of real time flood forecasting systems from the early 1970 approaches to the recent probabilistic ones. A preliminary discussion on the motivations for developing real time flood forecasting systems is introduced to explain their evolution in the last four to five decades. It will be shown how recent probabilistic flood forecasts are more robust and effective than the traditional deterministic ones. In particular, when combined with Bayesian decision approaches, probabilistic forecasts are the most appropriate tools for rational decision making in flood warning and flood management.
Moreover, they allow taking into account the information from several models to be taken into account by combining into a unique predictive density the deterministic predictions of several hydrological or hydraulic models of a different nature, while in the multi-temporal forecasting extensions, they provide to answers questions such as: Which is the probability of overtopping a dyke in the next 24 h? When will this event be more likely to occur during the next 24 h?
The work concludes with a discussion on the still unresolved problems, namely how decisions makers can fully take advantage of the probabilistic forecasts and how these forecasts must be communicated to them in order to meet this objective.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Abbott MB, Bathurst JC, Cunge JA, O'Connell PE, Rasmussen J (1986a) An introduction to the European hydrological system - Système Hydrologique Européen, "SHE", 1: history and philosophy of a physically-based, distributed modelling system. J Hydrol 87:45–59CrossRef Abbott MB, Bathurst JC, Cunge JA, O'Connell PE, Rasmussen J (1986a) An introduction to the European hydrological system - Système Hydrologique Européen, "SHE", 1: history and philosophy of a physically-based, distributed modelling system. J Hydrol 87:45–59CrossRef
Zurück zum Zitat Abbott MB, Bathurst JC, Cunge JA, O'Connell PE, Rasmussen J (1986b) An introduction to the European hydrological system - Système Hydrologique Européen, "SHE", 2: structure of physically-based, distributed modelling system. J Hydrol 87:61–77CrossRef Abbott MB, Bathurst JC, Cunge JA, O'Connell PE, Rasmussen J (1986b) An introduction to the European hydrological system - Système Hydrologique Européen, "SHE", 2: structure of physically-based, distributed modelling system. J Hydrol 87:61–77CrossRef
Zurück zum Zitat Abrahart RJ, See LM (2007) Neural network modelling of non-linear hydrological relationships. Hydrol Earth Syst Sci 11:1563–1579CrossRef Abrahart RJ, See LM (2007) Neural network modelling of non-linear hydrological relationships. Hydrol Earth Syst Sci 11:1563–1579CrossRef
Zurück zum Zitat Abrahart RJ, Kneale PE, See LM (eds) (2004) Neural Networks for Hydrological Modelling. Balkema Publishers, Rotterdam, p 316 Abrahart RJ, Kneale PE, See LM (eds) (2004) Neural Networks for Hydrological Modelling. Balkema Publishers, Rotterdam, p 316
Zurück zum Zitat Barbetta S, Coccia G, Moramarco T, Todini E (2016) Case study: a real-time flood forecasting system with predictive uncertainty estimation for the Godavari River, India. Water 2016(8):463. doi:10.3390/w8100463 CrossRef Barbetta S, Coccia G, Moramarco T, Todini E (2016) Case study: a real-time flood forecasting system with predictive uncertainty estimation for the Godavari River, India. Water 2016(8):463. doi:10.​3390/​w8100463 CrossRef
Zurück zum Zitat Bell VA, Kay AL, Jones RG, Moore RJ (2007) Development of a high resolution grid-based river flow model for use with regional climate model output. Hydrol Earth Syst Sci 11(1):532–549CrossRef Bell VA, Kay AL, Jones RG, Moore RJ (2007) Development of a high resolution grid-based river flow model for use with regional climate model output. Hydrol Earth Syst Sci 11(1):532–549CrossRef
Zurück zum Zitat Berger JO (1985) Statistical decision theory and Bayesian Analysis (2nd ed.). New York: springer-Verlag. ISBN 0-387-96098-8. MR 0804611 Berger JO (1985) Statistical decision theory and Bayesian Analysis (2nd ed.). New York: springer-Verlag. ISBN 0-387-96098-8. MR 0804611
Zurück zum Zitat Bergström S (1976) Development and application of a conceptual runoff model for Scandinavian catchments, SMHI Report RHO 7, Norrköping, 134 pp Bergström S (1976) Development and application of a conceptual runoff model for Scandinavian catchments, SMHI Report RHO 7, Norrköping, 134 pp
Zurück zum Zitat Bergström S (1995) The HBV model. In: Singh VP (ed) Computer models of watershed hydrology. Water Resources Publications, Highlands Ranch, pp 443–476 Bergström S (1995) The HBV model. In: Singh VP (ed) Computer models of watershed hydrology. Water Resources Publications, Highlands Ranch, pp 443–476
Zurück zum Zitat Bergström S, Forsman A (1973) Development of a conceptual deterministic runoff-model. Nord Hydrol 4(3):147–170 Bergström S, Forsman A (1973) Development of a conceptual deterministic runoff-model. Nord Hydrol 4(3):147–170
Zurück zum Zitat Box GEP, Jenkins GM (1970) Time Series analysis forecasting and control. Holden Day, San Francisco Box GEP, Jenkins GM (1970) Time Series analysis forecasting and control. Holden Day, San Francisco
Zurück zum Zitat Burnash RJC, Ferral RL, McGuire RA (1973) A general streamflow Simulation system - conceptual modelling for digital computers, Report by the joint federal state river forecasts center. Sacramento, USA Burnash RJC, Ferral RL, McGuire RA (1973) A general streamflow Simulation system - conceptual modelling for digital computers, Report by the joint federal state river forecasts center. Sacramento, USA
Zurück zum Zitat Ciarapica L, Todini E (2002) TOPKAPI: a model for the representation of the rainfall-runoff process at different scales. Hydrol Process 16(2):207–229CrossRef Ciarapica L, Todini E (2002) TOPKAPI: a model for the representation of the rainfall-runoff process at different scales. Hydrol Process 16(2):207–229CrossRef
Zurück zum Zitat Cloke HL, Pappenberger F (2009) Ensemble flood forecasting: a review. J Hydrol 375(3–4):613–626CrossRef Cloke HL, Pappenberger F (2009) Ensemble flood forecasting: a review. J Hydrol 375(3–4):613–626CrossRef
Zurück zum Zitat Coccia G, Todini E (2011) Recent developments in predictive uncertainty assessment based on the model conditional processor approach. Hydrol Earth Syst Sci 15:3253–3274CrossRef Coccia G, Todini E (2011) Recent developments in predictive uncertainty assessment based on the model conditional processor approach. Hydrol Earth Syst Sci 15:3253–3274CrossRef
Zurück zum Zitat De Groot M (2004) Optimal Statistical Decisions. Wiley Classics Library (Originally published 1970), ISBN 0-471-68029-X De Groot M (2004) Optimal Statistical Decisions. Wiley Classics Library (Originally published 1970), ISBN 0-471-68029-X
Zurück zum Zitat De Roo APJ, Wesseling CG, Van Deursen WPA (2000) Physically-based river basin modelling within a GIS: the LISFLOOD model. Hydrol Process 14:1981–1992CrossRef De Roo APJ, Wesseling CG, Van Deursen WPA (2000) Physically-based river basin modelling within a GIS: the LISFLOOD model. Hydrol Process 14:1981–1992CrossRef
Zurück zum Zitat Diebold FX, Gunther TA, Tay AS (1998) Evaluating density forecasts with applications to financial risk management. Int Econ Rev 39:863–883CrossRef Diebold FX, Gunther TA, Tay AS (1998) Evaluating density forecasts with applications to financial risk management. Int Econ Rev 39:863–883CrossRef
Zurück zum Zitat Dowson CM, Wilby RL (2001) Hydrological modeling using artificial neural networks. Prog Phys Geogr 25(1):80–108CrossRef Dowson CM, Wilby RL (2001) Hydrological modeling using artificial neural networks. Prog Phys Geogr 25(1):80–108CrossRef
Zurück zum Zitat Duan QY, Ajami NK, Gao XG, Sorooshian S (2007) Multi-model ensemble hydrologic prediction using Bayesian model averaging. Adv Water Resour 30(5):1371–1386CrossRef Duan QY, Ajami NK, Gao XG, Sorooshian S (2007) Multi-model ensemble hydrologic prediction using Bayesian model averaging. Adv Water Resour 30(5):1371–1386CrossRef
Zurück zum Zitat Eckel FA, Walters MK (1998) Calibrated probabilistic quantitative precipitation forecasts based on the MRF ensemble. Weather Forecast 13:1132–1147CrossRef Eckel FA, Walters MK (1998) Calibrated probabilistic quantitative precipitation forecasts based on the MRF ensemble. Weather Forecast 13:1132–1147CrossRef
Zurück zum Zitat Ewen J, Parkin G, O'Connell PE (2000) SHETRAN: distributed river basin flow and transport modelling system. ASCE J Hydrologic Eng 5:250–258CrossRef Ewen J, Parkin G, O'Connell PE (2000) SHETRAN: distributed river basin flow and transport modelling system. ASCE J Hydrologic Eng 5:250–258CrossRef
Zurück zum Zitat Fleming RJ (1971a) On stochastic dynamic prediction. I. The energetics of uncertainty and the question of closure. Mon Weather Rev 99:851–872CrossRef Fleming RJ (1971a) On stochastic dynamic prediction. I. The energetics of uncertainty and the question of closure. Mon Weather Rev 99:851–872CrossRef
Zurück zum Zitat Fleming RJ (1971b) On stochastic dynamic prediction. II. Predictability and utility. Mon Weather Rev 99:927–938CrossRef Fleming RJ (1971b) On stochastic dynamic prediction. II. Predictability and utility. Mon Weather Rev 99:927–938CrossRef
Zurück zum Zitat Glahn HR, Lowry DA (1972) The use of model output statistics (MOS) in objective weather forecasting. J Appl Meteorol 11:1203–1211CrossRef Glahn HR, Lowry DA (1972) The use of model output statistics (MOS) in objective weather forecasting. J Appl Meteorol 11:1203–1211CrossRef
Zurück zum Zitat Gleeson TA (1970) Statistical-dynamical predictions. J Appl Meteorol 9:333–344CrossRef Gleeson TA (1970) Statistical-dynamical predictions. J Appl Meteorol 9:333–344CrossRef
Zurück zum Zitat Gneiting T, Raftery AE, Westveld AH III, Goldman T (2005) Calibrated probabilistic forecasting using ensemble model output statistics and minimum CRPS estimation. Mon Weather Rev 133(5):1098–1118CrossRef Gneiting T, Raftery AE, Westveld AH III, Goldman T (2005) Calibrated probabilistic forecasting using ensemble model output statistics and minimum CRPS estimation. Mon Weather Rev 133(5):1098–1118CrossRef
Zurück zum Zitat Hamill TM, Colucci SJ (1997) Verification of eta-RSM short-range ensemble forecasts. Mon Weather Rev 125:1312–1327CrossRef Hamill TM, Colucci SJ (1997) Verification of eta-RSM short-range ensemble forecasts. Mon Weather Rev 125:1312–1327CrossRef
Zurück zum Zitat Koenker R (2005) Quantile Regression, Econometric Society Monographs. Cambridge University Press, New YorkCrossRef Koenker R (2005) Quantile Regression, Econometric Society Monographs. Cambridge University Press, New YorkCrossRef
Zurück zum Zitat Krzysztofowicz R (1999) Bayesian theory of probabilistic forecasting via deterministic hydrologic model. Water Resour Res 35:2739–2750CrossRef Krzysztofowicz R (1999) Bayesian theory of probabilistic forecasting via deterministic hydrologic model. Water Resour Res 35:2739–2750CrossRef
Zurück zum Zitat Leith CE (1974) Theoretical skill of Monte Carlo forecasts. Mon Weather Rev 102:409–418CrossRef Leith CE (1974) Theoretical skill of Monte Carlo forecasts. Mon Weather Rev 102:409–418CrossRef
Zurück zum Zitat Liu Z, Todini E (2002) Towards a comprehensive physically based rainfall-runoff model. Hydrology and Earth System Sciences (HESS) 6(5):859–881CrossRef Liu Z, Todini E (2002) Towards a comprehensive physically based rainfall-runoff model. Hydrology and Earth System Sciences (HESS) 6(5):859–881CrossRef
Zurück zum Zitat Loucks DP, Stedinger JR, Haith DA (1981) Water resource systems planning and analysis. Prentice-Hall Englewood Cliffs, N.J, p 559 Loucks DP, Stedinger JR, Haith DA (1981) Water resource systems planning and analysis. Prentice-Hall Englewood Cliffs, N.J, p 559
Zurück zum Zitat Martina MLV, Todini E, Libralon A (2006) A Bayesian decision approach to rainfall threshold based flood warning. Hydrol Earth Syst Sci 10:413–426CrossRef Martina MLV, Todini E, Libralon A (2006) A Bayesian decision approach to rainfall threshold based flood warning. Hydrol Earth Syst Sci 10:413–426CrossRef
Zurück zum Zitat Molteni F, Buizza R, Palmer TN, Petroliagis T (1996) The ECMWF ensemble prediction system: methodology and validation. Q J R Meteorol Soc 122:73–119CrossRef Molteni F, Buizza R, Palmer TN, Petroliagis T (1996) The ECMWF ensemble prediction system: methodology and validation. Q J R Meteorol Soc 122:73–119CrossRef
Zurück zum Zitat Moore RJ, Clarke RT (1981) A distribution function approach to rainfall-runoff modelling. Water Resour Res 17:1367–1382CrossRef Moore RJ, Clarke RT (1981) A distribution function approach to rainfall-runoff modelling. Water Resour Res 17:1367–1382CrossRef
Zurück zum Zitat Nash JE (1958) The form of the instantaneous unit hydrograph. IUGG general assembly of Toronto, Vol. III. IAHS Publ 45:114–121 Nash JE (1958) The form of the instantaneous unit hydrograph. IUGG general assembly of Toronto, Vol. III. IAHS Publ 45:114–121
Zurück zum Zitat Nash JE (1960) A unit hydrograph study with particular reference to British catchments. Proc Inst Civil Eng 17:249–282 Nash JE (1960) A unit hydrograph study with particular reference to British catchments. Proc Inst Civil Eng 17:249–282
Zurück zum Zitat Nash JE, Sutcliffe JV (1970) River flow forecasting through conceptual models. J Hydrol 10:282–290CrossRef Nash JE, Sutcliffe JV (1970) River flow forecasting through conceptual models. J Hydrol 10:282–290CrossRef
Zurück zum Zitat Nielsen SA, Hansen E (1973) Numerical Simulation of the rainfall-runoff process on a daily basis. Nord Hydrol 4(3):171–190 Nielsen SA, Hansen E (1973) Numerical Simulation of the rainfall-runoff process on a daily basis. Nord Hydrol 4(3):171–190
Zurück zum Zitat Raftery AE (1993) Bayesian model selection in structural equation models. In: Bollen KA, Long JS (eds) Testing structural equation models. SAGE, Newbury Park, pp 163–180 Raftery AE (1993) Bayesian model selection in structural equation models. In: Bollen KA, Long JS (eds) Testing structural equation models. SAGE, Newbury Park, pp 163–180
Zurück zum Zitat Raftery AE, Gneiting T, Balabdaoui F, Polakowski M (2005) Using Bayesian model averaging to calibrate forecast ensembles. Mon Weather Rev 133(5):1155–1174CrossRef Raftery AE, Gneiting T, Balabdaoui F, Polakowski M (2005) Using Bayesian model averaging to calibrate forecast ensembles. Mon Weather Rev 133(5):1155–1174CrossRef
Zurück zum Zitat Refsgaard JC, Storm B (1995) Chapter 23: MIKE SHE. In: Singh VP (ed) Computer models of watershed hydrology. Water Resources Publications, Littleton Refsgaard JC, Storm B (1995) Chapter 23: MIKE SHE. In: Singh VP (ed) Computer models of watershed hydrology. Water Resources Publications, Littleton
Zurück zum Zitat Reggiani P, Renner M, Weerts A, Van Gelder P (2009) Uncertainty assessment via Bayesian revision of ensemble streamflow predictions in the operational river Rhine forecasting system. Water Resour Res 45:W02428. doi:10.1029/2007WR006758 CrossRef Reggiani P, Renner M, Weerts A, Van Gelder P (2009) Uncertainty assessment via Bayesian revision of ensemble streamflow predictions in the operational river Rhine forecasting system. Water Resour Res 45:W02428. doi:10.​1029/​2007WR006758 CrossRef
Zurück zum Zitat Rosenblatt F (1958) The perceptron: a probabilistic model for information storage and Organization in the Brain, Cornell Aeronautical Laboratory. Psychol Rev 65(6):386–408. doi:10.1037/h0042519 CrossRef Rosenblatt F (1958) The perceptron: a probabilistic model for information storage and Organization in the Brain, Cornell Aeronautical Laboratory. Psychol Rev 65(6):386–408. doi:10.​1037/​h0042519 CrossRef
Zurück zum Zitat Scheuerer M (2014) Probabilistic quantitative precipitation forecasting using ensemble model output statistics. Q J R Meteorol Soc 140(680):1086–1096CrossRef Scheuerer M (2014) Probabilistic quantitative precipitation forecasting using ensemble model output statistics. Q J R Meteorol Soc 140(680):1086–1096CrossRef
Zurück zum Zitat Schwanenberg D, Fan FM, Naumann S, Kuwajima JI, Alvarado Montero R, Assis dos Reis A (2015) Short-term reservoir optimization for flood mitigation under meteorological and hydrological forecast uncertainty, application to the Treˆs Marias reservoir in Brazil. Water Resour Manag. doi:10.1007/s11269-014-0899-1 Schwanenberg D, Fan FM, Naumann S, Kuwajima JI, Alvarado Montero R, Assis dos Reis A (2015) Short-term reservoir optimization for flood mitigation under meteorological and hydrological forecast uncertainty, application to the Treˆs Marias reservoir in Brazil. Water Resour Manag. doi:10.​1007/​s11269-014-0899-1
Zurück zum Zitat Sherman LK (1932) Streamflow from rainfall by the unit graph method. Engineering News Record 108:501–505 Sherman LK (1932) Streamflow from rainfall by the unit graph method. Engineering News Record 108:501–505
Zurück zum Zitat Todini E (1991) Coupling real-time forecasting in the Aswan dam reservoir management, in Proc. Workshop on Monitoring, Forecasting and Simulation of River Basins for Agricultural Production, FAO and Centro IDEA, Bologna, 18-23 march 1991. Land and water development division, FAO, Rome, Report N. FAO-AGL-RAF/8969 Todini E (1991) Coupling real-time forecasting in the Aswan dam reservoir management, in Proc. Workshop on Monitoring, Forecasting and Simulation of River Basins for Agricultural Production, FAO and Centro IDEA, Bologna, 18-23 march 1991. Land and water development division, FAO, Rome, Report N. FAO-AGL-RAF/8969
Zurück zum Zitat Todini E (1995) New trends in modeling soil processes from hillslope to GCM scales, In Oliver HR, Oliver SA (Eds.), The Role of Water and the Hydrological Cycle in Global Change, NATO ASI Series, Series I: Global Environmental Change, 31: 317–347 Todini E (1995) New trends in modeling soil processes from hillslope to GCM scales, In Oliver HR, Oliver SA (Eds.), The Role of Water and the Hydrological Cycle in Global Change, NATO ASI Series, Series I: Global Environmental Change, 31: 317–347
Zurück zum Zitat Todini E (1996) The Arno rainfall-runoff model. J Hydrol 175:339–382CrossRef Todini E (1996) The Arno rainfall-runoff model. J Hydrol 175:339–382CrossRef
Zurück zum Zitat Todini E (1999) Using phase-state modelling for inferring forecasting uncertainty in non-linear stochastic decision schemes. J Hydroinf 01(2):75–82 Todini E (1999) Using phase-state modelling for inferring forecasting uncertainty in non-linear stochastic decision schemes. J Hydroinf 01(2):75–82
Zurück zum Zitat Todini E (2002) The ARNO model. In Mathematical Models of Large Watershed Hydrology. Singh VP, Frevert DK, Meyer SP (eds.), Water Resources Publications, Littleton, Chapter 16: 687–716 Todini E (2002) The ARNO model. In Mathematical Models of Large Watershed Hydrology. Singh VP, Frevert DK, Meyer SP (eds.), Water Resources Publications, Littleton, Chapter 16: 687–716
Zurück zum Zitat Todini E (2008) A model conditional processor to assess predictive uncertainty in flood forecasting. Int J of River Basin Management 36:3265–3277 Todini E (2008) A model conditional processor to assess predictive uncertainty in flood forecasting. Int J of River Basin Management 36:3265–3277
Zurück zum Zitat Todini E (2012) From HUP to MCP: analogies and extended performances. J Hydrol 477:32–43 Todini E (2012) From HUP to MCP: analogies and extended performances. J Hydrol 477:32–43
Zurück zum Zitat Todini E (2014) The role of predictive uncertainty in the operational Management of Reservoirs. In Castellarin A, Ceola S, Toth E, Montanari A (Eds.) Evolving Water Resources Systems: Understanding, Predicting and Managing Water–Society Interactions, IAHS Publ.364. ISBN 978-1-907161-42-1, pp. 548 + xii Todini E (2014) The role of predictive uncertainty in the operational Management of Reservoirs. In Castellarin A, Ceola S, Toth E, Montanari A (Eds.) Evolving Water Resources Systems: Understanding, Predicting and Managing Water–Society Interactions, IAHS Publ.364. ISBN 978-1-907161-42-1, pp. 548 + xii
Zurück zum Zitat Todini E (2016) Predictive uncertainty assessment and decision making, Chapter 26, in V. P. Singh (ed) Handbook of Applied Hydrology – Second Edition, McGraw Hill, New York, pp. 26-1, 26–16 Todini E (2016) Predictive uncertainty assessment and decision making, Chapter 26, in V. P. Singh (ed) Handbook of Applied Hydrology – Second Edition, McGraw Hill, New York, pp. 26-1, 26–16
Zurück zum Zitat Tracton MS, Kalnay E (1993) Operational ensemble prediction at the National Meteorological Center: practical aspects. Weather Forecast 8:379–398CrossRef Tracton MS, Kalnay E (1993) Operational ensemble prediction at the National Meteorological Center: practical aspects. Weather Forecast 8:379–398CrossRef
Zurück zum Zitat Vrugt JA, Robinson BA (2007) Treatment of uncertainty using ensemble methods: comparison of sequential data assimilation and Bayesian model averaging. Water Resour Res 43:W01411. doi:10.1029/2005WR004838 CrossRef Vrugt JA, Robinson BA (2007) Treatment of uncertainty using ensemble methods: comparison of sequential data assimilation and Bayesian model averaging. Water Resour Res 43:W01411. doi:10.​1029/​2005WR004838 CrossRef
Zurück zum Zitat Weerts AH, Winsemius HC, Verkade JS (2011) Estimation of predictive hydrological uncertainty using quantile regression: examples from the national flood forecasting system (England and Wales). Hydrol Earth Syst Sci 15:255–265CrossRef Weerts AH, Winsemius HC, Verkade JS (2011) Estimation of predictive hydrological uncertainty using quantile regression: examples from the national flood forecasting system (England and Wales). Hydrol Earth Syst Sci 15:255–265CrossRef
Zurück zum Zitat Wilks DS (1995) Statistical methods in the atmospheric sciences: an introduction. Academic Press, Burlington, 467 pp Wilks DS (1995) Statistical methods in the atmospheric sciences: an introduction. Academic Press, Burlington, 467 pp
Zurück zum Zitat Wilson EB (1927) Probable inference, the law of succession, and statistical inference. J Am Stat Assoc 22:209–212CrossRef Wilson EB (1927) Probable inference, the law of succession, and statistical inference. J Am Stat Assoc 22:209–212CrossRef
Zurück zum Zitat Young PC (2001) Data-based mechanistic modelling and validation of rainfall-flow processes. In: Anderson MG, Bates PD (eds) Model validation: perspectives in hydrological science. Wiley, Chichester, pp 117–161 Young PC (2001) Data-based mechanistic modelling and validation of rainfall-flow processes. In: Anderson MG, Bates PD (eds) Model validation: perspectives in hydrological science. Wiley, Chichester, pp 117–161
Zurück zum Zitat Young PC (2002) Advances in real-time flood forecasting. Philos Transact A Math Phys Eng Sci 360(1796):1433–1450CrossRef Young PC (2002) Advances in real-time flood forecasting. Philos Transact A Math Phys Eng Sci 360(1796):1433–1450CrossRef
Zurück zum Zitat Zhao RJ (1992) The Xinanjiang model applied in China. J Hydrol 135:371–381CrossRef Zhao RJ (1992) The Xinanjiang model applied in China. J Hydrol 135:371–381CrossRef
Zurück zum Zitat Zhao RJ, Zhang YL, Fang LR, Liu XR, Zhang QS (1980) The Xinanjiang model, Hydrological Forecasting Symposium Proceedings, IASH Publication n. 129, pp. 351-356 Zhao RJ, Zhang YL, Fang LR, Liu XR, Zhang QS (1980) The Xinanjiang model, Hydrological Forecasting Symposium Proceedings, IASH Publication n. 129, pp. 351-356
Zurück zum Zitat Zhao L, Duan Q, Schaake J, Ye A, Xia J (2011) A hydrologic post-processor for ensemble streamflow predictions. Adv Geosci 29:51–59CrossRef Zhao L, Duan Q, Schaake J, Ye A, Xia J (2011) A hydrologic post-processor for ensemble streamflow predictions. Adv Geosci 29:51–59CrossRef
Metadaten
Titel
Flood Forecasting and Decision Making in the new Millennium. Where are We?
verfasst von
Ezio Todini
Publikationsdatum
03.05.2017
Verlag
Springer Netherlands
Erschienen in
Water Resources Management / Ausgabe 10/2017
Print ISSN: 0920-4741
Elektronische ISSN: 1573-1650
DOI
https://doi.org/10.1007/s11269-017-1693-7

Weitere Artikel der Ausgabe 10/2017

Water Resources Management 10/2017 Zur Ausgabe