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    Integrated ApproachesIntegrated Approaches

    for Runoff Forecastingfor Runoff Forecasting

    Ashu JainAshu Jain

    Department of Civil EngineeringDepartment of Civil Engineering

    Indian Institute of Technology KanpurIndian Institute of Technology Kanpur

    Kanpur-UP, INDIAKanpur-UP, INDIA

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    OutlineOutline

    Hydrologic CycleHydrologic Cycle

    Global Water FactsGlobal Water Facts

    Indian Scenario & Possible SolutionsIndian Scenario & Possible Solutions

    Rainfall-Runoff ModellingRainfall-Runoff Modelling

    Existing ApproachesExisting Approaches Integrated Approaches (3)Integrated Approaches (3)

    ConclusionsConclusions

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    Hydrologic CycleHydr

    ologic Cycle

    (Source: http://saturn.geog.umb.edu/wdripps/Hydrology/Hydrology%20Fall%202004/precipitation.ppt)

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    Global Water FactsGlobal Water Facts

    Total water 1386 Million Kilometer^3Total water 1386 Million Kilometer^3

    97% in oceans & 1% on land is saline97% in oceans & 1% on land is saline

    => only 35 MKm3 on land is fresh=> only 35 MKm3 on land is fresh Of which 25 MKm3 is solidOf which 25 MKm3 is solid

    Only 10 MKm3 is fresh liquid waterOnly 10 MKm3 is fresh liquid water

    Availability is CONSTANTAvailability is CONSTANT Water Demands are INCREASING (2050!)Water Demands are INCREASING (2050!)

    Optimal use of existing WR is neededOptimal use of existing WR is needed

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    Indian ScenarioIndian Scenario

    Water availability in IndiaWater availability in India

    is highly uneven withis highly uneven withrespect to bothrespect to both spacespace andand

    timetime

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    Indian ScenarioIndian Scenario

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    Indian ScenarioIndian Scenario

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    Kanpur ScenarioKanpur Scenario

    Dainik Jagran: 2 May 2007Dainik Jagran: 2 May 2007

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    Indian ScenarioIndian Scenario

    We depend on rainfall for meeting most of ourWe depend on rainfall for meeting most of ourwater requirementswater requirements

    Most of the rainfall in majority of the countryMost of the rainfall in majority of the countryis concentrated in monsoon season (June-is concentrated in monsoon season (June-

    September)September)

    The uneven spatio-temporal distribution ofThe uneven spatio-temporal distribution ofwater and uncertain nature of rainfall patternswater and uncertain nature of rainfall patterns

    call for innovative methods for watercall for innovative methods for water

    utilization and forecastingutilization and forecasting

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    Possible SolutionsPossible Solutions

    Solutions of water problems in India lieSolutions of water problems in India lie

    in its root causesin its root causes

    Space => InterlinkingSpace => Interlinking

    Time => Rainwater HarvestingTime => Rainwater Harvesting

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    Possible SolutionsPossible Solutions

    Other solutions includeOther solutions include

    Optimal Management of Existing WROptimal Management of Existing WR

    Runoff ForecastingRunoff Forecasting

    Technological AdvancementsTechnological Advancements

    Innovative Integrated ApproachesInnovative Integrated Approaches

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    Runoff ConceptsRunoff Concepts

    Amount of water at any timeAmount of water at any timemeasured in m3/sec at any locationmeasured in m3/sec at any location

    in a river is called runoff.in a river is called runoff.

    A graph showing runoff as aA graph showing runoff as a

    function of time is called a runofffunction of time is called a runoffhydrograph.hydrograph.

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    A Runoff HydrographA Runoff Hydrograph

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    Runoff ConceptsRunoff Concepts

    Runoff at any time depends onRunoff at any time depends on

    Catchment characteristicsCatchment characteristics Storm characteristicsStorm characteristics

    Climatic characteristicsClimatic characteristics

    Geo-morphological characteristicsGeo-morphological characteristics

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    Rainfall Runoff ModellingRainfall Runoff Modelling

    Physical processes involved inPhysical processes involved inhydrologic cyclehydrologic cycle

    Extremely complexExtremely complex

    DynamicDynamic

    Non-linearNon-linear FragmentedFragmented

    Not clearly understoodNot clearly understood

    Very difficult to modelVery difficult to model

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    Rainfall Runoff ModelsRainfall Runoff Models

    Conceptual or DeterministicConceptual or Deterministic

    Systems Theoretic or Black Box TypeSystems Theoretic or Black Box Type

    RegressionRegression

    Time SeriesTime Series

    ANNsANNsIntegratedIntegrated

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    Integrated R-R ModelsIntegrated R-R Models

    Innovative Integrated approachesInnovative Integrated approaches

    Conceptual + ANNConceptual + ANN

    Decomposition + AggregationDecomposition + Aggregation

    Time Series + ANNTime Series + ANN

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    IntegratedIntegrated

    Rainfall-RunoffRainfall-Runoff

    Model-1Model-1

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    Conceptual + ANNConceptual + ANN

    Conceptual ModelConceptual Model

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    Conceptual + ANNConceptual + ANN

    ANN/Black Box ModelANN/Black Box Model

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    Conceptual + ANNConceptual + ANN

    AnAn integrated/hybridintegrated/hybridmodel capable ofmodel capable of

    exploiting the advantages ofexploiting the advantages of

    conceptual and ANN techniques mayconceptual and ANN techniques may

    be able to provide superiorbe able to provide superior

    performance in runoff forecasting.performance in runoff forecasting.

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    Conceptual + ANNConceptual + ANN

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    Data Employed: Kentucky RiverData Employed: Kentucky River

    Spatially aggregated daily rainfall (mm)Spatially aggregated daily rainfall (mm)

    Average daily river flow (m3/s)Average daily river flow (m3/s)

    Total length of data 26 yearsTotal length of data 26 years

    First 13 years for training/calibrationFirst 13 years for training/calibration

    Next 13 years for testing/validationNext 13 years for testing/validation

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    Integrated R-R Model-1Integrated R-R Model-1

    Conceptual:Conceptual: Base flow, infiltration, continuous soilBase flow, infiltration, continuous soilmoisture accounting, and the evapotranspirationmoisture accounting, and the evapotranspiration

    processes are modelled using conceptual/ deterministicprocesses are modelled using conceptual/ deterministic

    techniquestechniques

    ANN:ANN: Complex, dynamic, and non-linear nature of theComplex, dynamic, and non-linear nature of theprocess of transformation of effective rainfalls intoprocess of transformation of effective rainfalls into

    runoff in a watershed are modelled using ANNsrunoff in a watershed are modelled using ANNs Training:Training: ANN training is carried out using GA.ANN training is carried out using GA.

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    Integrated R-R Model-1 ResultsIntegrated R-R Model-1 Results

    Model A AR E R

    D uring Training

    C onceptual 23.57 0.9363A NN 54.45 0.9770

    Integrated 21.58 0.9773

    D uring T esting

    C onceptual 24.68 0.9332A NN 66.78 0.9700

    Integrated 23.09 0.9704

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    Integrated R-R Model-1 ResultsIntegrated R-R Model-1 Results

    Observed and Predicted Runoff in 1986 (Dry Year)Observed and Predicted Runoff in 1986 (Dry Year)

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    ANN Model Results (Summer)ANN Model Results (Summer)

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    Integrated Model-1 Results (Summer)Integrated Model-1 Results (Summer)

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    IntegratedIntegrated

    Rainfall-RunoffRainfall-Runoff

    Model-2Model-2

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    Decomposition + AggregationDecomposition + Aggregation

    Figure 1: Decomposition of a Flow Hydrograph

    R1

    R2

    F1

    F2

    F3

    Time

    Flow

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    Integrated Model-2 DetailsIntegrated Model-2 DetailsTable 1: Details of Neural Network Models

    ________________________________________________________________________________________________

    Model Portion Architecture Number Statistics Input Variables

    of Data ( x , )

    ________________________________________________________________________________________________

    Model-I 5-4-1 4747 (146.7, 238.8) P(t), P(t-1), P(t-2), Q(t-1), and Q(t-2)

    Model-II Rising 5-4-1 1783 (233.5, 330.3) P(t), P(t-1), P(t-2), Q(t-1), and Q(t-2)

    Falling 3-3-1 2963 (94.4, 135.7) P(t), Q(t-1), and Q(t-2)

    Model-III Rising 5-4-1 1783 (233.5, 330.3) P(t), P(t-1), P(t-2), Q(t-1), and Q(t-2)

    Falling Recession 2963 (94.4, 135.7) Q(t-1), and Q(t-2)

    Model-IV Rising 5-4-1 1783 (233.5, 330.3) P(t), P(t-1), P(t-2), Q(t-1), and Q(t-2)

    Falling-I 3-3-1 1189 (198.5, 164.4) P(t), Q(t-1), and Q(t-2)

    Falling-II Recession 1774 (25.3, 20.1) Q(t-1), and Q(t-2)

    Model-V Rising-I Inverse Recession 182 (8.2, 2.1) Q(t-1), and Q(t-2)

    Rising-II 5-4-1 1601 (259.0, 339.4) P(t), P(t-1), P(t-2), Q(t-1), and Q(t-2)

    Falling-I 3-3-1 1189 (198.5, 164.4) P(t), Q(t-1), and Q(t-2)

    Falling-II Recession 1774 (25.3, 20.1) Q(t-1), and Q(t-2)

    SOM(3) High 5-4-1 693 (537.8, 384.2) P(t), P(t-1), P(t-2), Q(t-1), and Q(t-2)

    Medium 3-3-1 1061 (195.5, 127.6) P(t), Q(t-1), and Q(t-2)

    Low 4-3-1 2993 (38.8, 50.9) P(t), P(t-1), Q(t-1), and Q(t-2)

    SOM(4) High 5-4-1 409 (678.9, 426.3) P(t), P(t-1), P(t-2), Q(t-1), and Q(t-2)

    Medium-I 4-3-1 704 (280.4, 157.4) P(t), P(t-1), Q(t-1), and Q(t-2)

    Medium-II 3-3-1 1089 (136.7, 104.4) P(t), Q(t-1), and Q(t-2)

    Low 3-3-1 2545 (28.4, 34.3) P(t), Q(t-1), and Q(t-2)

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    Integrated Model-2 ResultsIntegrated Model-2 Results

    Model AARE R AARE RD uring T rainin g D uring T esting

    Model-I 54.97 0.9770 65.71 0.9700

    Model-II 61.28 0.9764 72.28 0.9696

    Model-III 31.66 0.9607 36.45 0.9571

    Model-IV 31.90 0.9777 39.56 0.9684Model-V 23.85 0.9780 21.63 0.9678

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    Scatter Plot from Model-VScatter Plot from Model-V

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    Results-Model-V: Drought Year 1988Results-Model-V: Drought Year 1988

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    IntegratedIntegrated

    Rainfall-RunoffRainfall-Runoff

    Model-3Model-3

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    Time Series + ANNTime Series + ANN

    Basic Steps in Time Series ModellingBasic Steps in Time Series Modelling DetrendingDetrending

    DeseasonalizationDeseasonalization

    Auto-correlationAuto-correlation

    ANN modelling involves presenting rawANN modelling involves presenting rawdata as inputsdata as inputs

    Time series steps can be carried out beforeTime series steps can be carried out beforepresenting data to ANN as inputs.presenting data to ANN as inputs.

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    Time Series + ANNTime Series + ANN

    ANN1 Raw DataANN1 Raw Data

    ANN2 Detrended DataANN2 Detrended Data ANN3 Detrended andANN3 Detrended andDeseasonalized DataDeseasonalized Data

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    Time Series + ANNTime Series + ANN

    Data EmployedData Employed

    Monthly runoff from Colorado River @Monthly runoff from Colorado River @

    Lees Ferry, USA for 62 yearsLees Ferry, USA for 62 years

    Past four months lagPast four months lag

    50 Years for training50 Years for training

    12 years for testing12 years for testing

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    Time Series + ANNTime Series + ANN

    Lag 2 Results Lag 4 Results

    AARE R AARE R

    Time Series 92.78 0.48 88.52 0.51

    ANN1 44.51 0.62 44.01 0.68

    ANN2 19.55 0.77 17.67 0.80

    ANN3 12.55 0.86 9.62 0.89

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    ConclusionsConclusions

    Runoff forecasting is important for efficientRunoff forecasting is important for efficient

    management of existing water resources.management of existing water resources.

    An individual modelling technique providesAn individual modelling technique providesreasonable accuracy in runoff forecasting.reasonable accuracy in runoff forecasting.

    Neural network based solutions can beNeural network based solutions can be

    better than those obtained usingbetter than those obtained usingconventional methods.conventional methods.

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    ConclusionsConclusions

    Integrated modelling approaches have theIntegrated modelling approaches have the

    potential for producing higher accuracy inpotential for producing higher accuracy in

    runoff forecasts.runoff forecasts. Innovative integrated approaches dependentInnovative integrated approaches dependent

    on the nature of problem are needed in orderon the nature of problem are needed in order

    to develop hybrid forecast models capableto develop hybrid forecast models capableof exploiting the strengths of the availableof exploiting the strengths of the available

    individual techniques.individual techniques.

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    Thank YouThank You